Government of Karnataka
Department of Technical Education
Board of Technical Examinations, Bengaluru
Course Title:ENGINEERING MATHEMATICS – II
: 15SC02M
: Core
: 4 Credits
: 52
: 100 Marks
Course Code
Semester
: II
Course Group
Teaching Scheme (L:T:P)
: 4:0:0(in hours)
Credits
Type of course
: Lecture + Assignments
Total Contact Hours
CIE
: 25 Marks
SEE
Programmes: Common to all Engineering Diploma Programmes
Pre-requisites:
Engineering Mathematics-IinFirstSemester Diploma curriculum.
Course Objectives:
1.
2.
3.
4.
5.
6.
Apply the concept of straight line and conic section in engineering field.
Determine derivatives of functions involving two variables.
Apply the concepts of differentiation in physics and engineering courses.
Evaluate the integrals of functions of two variables.
Apply the concepts of definite integrals and its application over a region.
Solve the ODE of first degree, first order in engineering field.
Course Contents:
Topic and Contents
Hours Marks
08hr
04 hr
Unit-1: COORDINATE GEOMETRY
a. Straight lines:
Differentforms of equations of straight lines:
y = mx + c,
y − y1 = m(x − x1 ),
23
y −y
y − y1 = (x2 −x1 ) (x − x1 ).
2
1
General equation of a lineax + by + c = o (graphical representation
and statements) and problems on above equations. Equation of lines
through a point and parallel or perpendicular to a given line. Problems.
b. Conic Section:
Definition of conic section.Definition of axis, vertex, eccentricity,
focus and length of latus rectum. Geometrical representation of
parabola, ellipse and hyperbola:
Equations of parabolay 2 = 4ax,
Directorate Of Technical Education
Karnataka State
15SC02M
04hr
Page 1
x2
y2
Equation of ellipse a2 + b2 = 1and
Equation of hyperbola
x2
a2
y2
− b2 = 1(without proof of above 3
equations). Equations of parabola, ellipse and hyperbolawith respect to
x-axis as axis of conic.
Finding axes, vertices, eccentricity, foci and length of lattice rectum of
conics.Problemson finding the above said equations with direct
substitution.
UNIT – 2: DIFFERENTIAL CALCULUS
15hr
Differentiation.
Definition of increment and increment ratio. Definition of derivative of
a function.
Derivatives of functions ofx n , sin x, cos xand tan xwith respect to ‘x’
from first principle method. List of standard derivatives of
cosecx, secx, cotx, log e x, ax , ex ......etc.
Rules of differentiation: Sum, product, quotient rule and problems on
rules. Derivatives of function of a function (Chain rule) and problems.
Inverse trigonometric functions and their derivatives.
Derivative of Hyperbolic functions, Implicit functions, Parametric
functions and problems.
Logarithmic differentiation of functions ofthe type uv ,where u and v
are functions of x.Problems.
Successive differentiation up to second order and problems on all the
above types of functions.
UNIT – 3: APPLICATIONS OF DIFFERENTIATION.
Geometrical meaning of derivative. Derivative as slope. Equations of
tangent and normal to the curve y = f(x) at a given point- (statement
only). Derivative as a rate measure i.e.to find the rate of change of
displacement, velocity, radius, area, volume using differentiation.
Definition of increasing and decreasing function. Maxima and minima
of a function.
UNIT-4: INTEGRAL CALCULUS.
39
07hr
17
12hr
30
Definition of Integration. List of standard integrals. Rules of integration
(only statement)
1. kf ( x)dx  k  f ( x)dx.
2.  f(x)  g(x)dx   f(x)dx   g(x)dx
problems. Integration by substitution method. Problems.
Directorate Of Technical Education
Karnataka State
15SC02M
Page 2
Standard integrals of the type
1.
3. 
dx
1
 x
 tan 1    c
2
x a
a
a
dx
x x a
2
2. 
2
2

1
x
sec 1    c
a
a
2
(1 to 3 with proof)
4. 
dx
1
 xa

log 
c
x 2  a 2 2a
xa
if x  a  0.
5. 
dx
1
a x

log 
c
2
a x
2a
ax
if a  x  0.
2
 x
 sin 1    c .
a
a x
dx
2
( 4 & 5 without proof)
and problems on above results Integration by parts of the type∫ x n ex dx
,∫ xsinxdx, ∫ xcosxdx, ∫ xlogxdx , ∫ logxdx,∫ tan−1 x dx,
∫ x sin2 x dx , ∫ x cos 2 x dxwhere n=1, 2. Rule of integration by parts. Problems
UNIT – 5: DEFINITE INTEGRALS AND ITS APPLICATIONS
05 hr
22
05 hr
14
52
145
Definition of Definite integral. Problems on all types of integration
methods.
Area, volume, centres of gravity and moment of inertia by integration
method. Simple problems.
UNIT – 6: DIFFERENTIAL EQUATIONS.
Definition, example, order and degree of differential equation with
examples. Formation of differential equation by eliminating arbitrary
constants up to second order. Solution of O. D. E of first degree and
first order by variable separable method. Linear differential equations
and its solution using integrating factor.
Total
Course Delivery:
The Course will be delivered through lectures, class room interaction, exercises, assignments
and self-study cases.
Directorate Of Technical Education
Karnataka State
15SC02M
Page 3
Course outcome:
On successful completion of the course, the student will be able to:
1. Formulate the equation of straight lines and conic sections in different forms.
2. Determine the derivatives of different types of functions.
3. Evaluate the successive derivative of functions and its application in tangent, normal,
rate measure, maxima and minima.
4. Evaluate the integrations of algebraic, trigonometric and exponential function.
5. Calculate the area under the curve, volume by revolution, centre of gravity and radius
of gyration using definite integration.
6. Form and solve ordinary differential equations by variable separable method and
linear differential equations.
Mapping Course Outcomes with Program Outcomes:
Course
outcomes
1
2
1
S
S
2
S
S
3
S
S
4
S
S
5
S
S
6
S
S
S: Strong relationship
3
4
Programme Outcomes
5
6
7
8
9
10
11
12
M
M
M
M
M
M
M: Moderate relationship
Reference Books:
1. NCERT Mathematics Text books of class XI and XII.
2. Higher Engineering Mathematics by B.S Grewal, Khanna publishers, New Delhi.
3. Karnataka State PUC mathematics Text Books of I & II PUC by H.K. Dass and Dr.
Ramaverma published by S.Chand & Co.Pvt. ltd.
4. CBSE Class Xi & XII by Khattar & Khattar published PHI Learning Pvt. ltd.,
5. First and Second PUC mathematics Text Books of different authors.
6. E-books:www.mathebook.net
7. www.freebookcentre.net/mathematics/ introductory-mathematics -books.html
Directorate Of Technical Education
Karnataka State
15SC02M
Page 4
Course Assessment and Evaluation:
What
To
whom
When/where Max
Evidence
Contributing
(Frequency Marks
collected
to course
in the
outcomes
course)
Three tests
Internal
(Average of
Assessment
Three tests to
20
Blue books
1 to 6
Tests
be
computed).
Two
*CIE
Assignments
(Average of
5
Log of record
Student
Two
1 to 4
Assignments
assignments
to be
computed)
Total
25
Semester
Answer
End of the
*SEE
End
100
scripts at
1 to 6
course
Examination
BTE
1 to 3,
Middle of the
Student feedback
Feedback
delivery
course
forms
of the course
1 to 6,
Effectiveness
Students
-NAof delivery of
End of Course
End of
Questionnaire instructions
survey
course
and
assessment
methods
*CIE – Continuous Internal Evaluation *SEE – Semester End Examination
Note: I.A. test shall be conducted for 20 marks. Any decimals shall be rounded off to the next
higher digit.
INDIRECT
ASSESSMENT
DIRECT ASSMENT
Method
Composition of Educational Components:
Questions for CIE and SEE will be designed to evaluate the various educational components
(Bloom’s taxonomy) such as:
Sl.
No.
1
2
3
Educational Component
Remembering and Understanding
Applying the knowledge acquired from the course
Analysis&Evaluation
Directorate Of Technical Education
Karnataka State
Weightage
(%)
35
25
40
15SC02M
Page 5
Model Question Paper:
Code: 15SC02M
II Semester Diploma Examination
ENGINEERING MATHEMATICS –II
(For All Engineering Diploma Programmes)
[Max. Marks: 100
Time: 3 Hours]
NOTE:i)Answer any 10 questions from section A, 8 questions from section B and 5 questions from
section-C
ii) Each question carries 3 marks in section A.
ii) Each question carries 5 marks in section B.
iii) Each question carries 6 marks in section C.
SECTION-A
1. Find the equation of the line passing through the point (2,-3) with slope 1/3.
2. Find the equation of parabola with vertex (2,0) and focus (5,0)
3. Differentiate: (3x + 8)7 with respect to x.
4. If y = cos−1 x show that
5. If y = x x , find
6.
dy
dx
1+sinx
dy
dx
=
−1
√1−x2
.
.
dy
If y = 1−sinx find dx .
7. Find the equation to the tangent to the curve 2x 3 + 5y − 4 = 0 at (-2,4).
8. The volume of the sphere is increasing at the rate of 6cc/sec. Find the rate of
change of radius when the radius is 3 cm.
9. Integrate: (2x + 1)(x + 5) with respect to x
10. Evaluate: ∫ tan2 xdx
cosx
11. Evaluate: ∫ 1+sinx dx
π⁄
12. Evaluate: ∫0 4(sec 2 x + 1)dx.
13. Find area bounded by the line x + 2y = 0 , x- axis, and ordinates x = 0, andx = 4 by
integration.
14. Form differential equation for curve y 2 = 4ax
SECTION – B
1. Find the equation of line passing through the point (2,5) and (-3,2).
2. Differentiate √x + logx + sin−1 x + etan x − ax with respect to x.
3. Differentiate tan x with respect to x using first principal method.
4. If y = sinh 3x cosh 2x then find
3
dy
dx
.
2
5. If S = t − t + 9t + 8, where S is distance travelled by particle in t seconds. Find the
velocity and acceleration at t = 2 sec.
1
1
6. Integrate: x − tanx + e−3x + 1+x2 + 5
7. Evaluate:∫
(1+log x)2
x
with respect to x.
dx
8. Evaluate: ∫ xsinxdx
Directorate Of Technical Education
Karnataka State
15SC02M
Page 6
π⁄
2 cos 5x cos 3x dx
9. Evaluate: ∫0
π⁄
2 cos 3 x dx
10. Evaluate: ∫0
11. Solve the differential equation sin2 ydx − cos 2 xdy =0
SECTION – C
1. Find the equation of median through B in a triangle with vertices A(-1 ,3), B(-3, 5)
C(7,-9)
2. Find the equation of hyperbola, given that vertices are (±7, 0) and eccentricity, е=4/3
3. If x y = ax , show that
−1 x
4. If y = etan
dy
dx
=
and
x loge a−y
.
x loge x
d2 y
dy
then show that (1 + x 2 ) dx2 + (2x − 1) dx = 0.
5. Find the maximum and minimum values of the function
f(x) = 2x 3 − 21x 2 + 36x − 20.
6. Evaluate: ∫ tan−1 x dx
7. Find the volume of solid generated by revolving the curve
y = √x 2 + 5x between x=1 & x=2.
dy
8. Solve the differential equation x dx − 2y = 2x
*******************************************
Directorate Of Technical Education
Karnataka State
15SC02M
Page 7
Question Paper Blue Print:
Course: ENGINEERING MATHEMATICS – II Course Code: 15SC02M
UNIT NO
HOURS
Questions to be Question to be set in
set
two sub division
(3 Marks)
(5 Marks)
Section - A
Section - B
Question to be set in two
sub division (6 Marks)
Section- C
Weightage of Marks
a
4
01
01
01
b
4
01
--
01
2
15
04
03
02
39
3
07
02
01
01
17
4
12
03
03
01
30
5
05
02
02
01
22
6
05
01
01
01
14
52
14
11
08
145
Questions to be
answered
10
08
05
100
1
TOTAL
Directorate Of Technical Education
Karnataka State
15SC02M
23
Page 8
Guidelines to Question Paper Setting:
1. The question paper must be prepared based on the blue print without changing the weight
age of model fixed for each unit.
2. The question paper pattern provided should be adhered to
Section-A: 10 questions to be answered out of 14 questions each carrying 03 marks.
Section-B: 08 questions to be answered out of 11 questions each carrying 05 marks.
Section-C: 05 questions to be answered out of 08 questions each carrying 06 marks.
3. Questions should not be set from the recapitulation topics.
Model Question Bank:
Course Title:ENGINEERING MATHEMATICS – II
Course Code: 15SC02M
UNIT-1: STRAIGHT LINES AND CONIC SECTION:
3 MARK QUESTIONS
1.
2.
3.
4.
Find the equation of the straight line passing through (2,3) and having slope 5.
Find the slope and x-intercept and y-intercepts of the line 2x + 3y − 11 = 0.
Find the vertex and focus of the parabola (y − 2)2 = 8x.
Show that the lines 3x-2y+2=0, 2x+3y+7=0 are perpendicular.
x2
5. Find the eccentricity of the ellipse 64 +
y2
9
=1
5 MARK QUESTIONS
1. Find the equation to the line passing through the point (6,-4) and perpendicular to the
line 7x-6y+3=0.
2. Find the equation to the line passing through the point (2,3) parallel to the line
joining the points (-8,-6) & (2,-4).
3. Find the equation of straight line inclined at 135o to the x-axis having y-intercept 2/3.
4. Find the equation of straight line joining the points (2,3) & (-4,6).
5. Find the equation of the line passes through (-3,-2) which is perpendicular to x-axis.
6 MARK QUESTIONS
1. Find the equation to the median of the triangle through the vertex A with vertices A(1,3), B(-3,5) &C(7,-9).
2. The vertices of a quadrilateral taken in order are A(1,2), B(2,1),C(3,4) & D(-1,-2).
Find the equation to the diagonal BD.
Directorate Of Technical Education
Karnataka State
15CP01E
Page 9
x2
y2
3. Obtain the equation of the hyperbola in the form a2 + b2 = 1, whose eccentricity is 8
and distance between the foci is 12.
4. Find the equation of the ellipse with length of major axis is 8 and minor axis is 3.
5. Find the equation to the line passing through point (3,-2) and perpendicular to the line joining
points (5,2) &(7,-6).
UNIT-2: DIFFERENTIATION:
3 MARK QUESTIONS
1. Find
dy
dx
, if y = 2x 2 − 3x + 1.
2.
Differentiate xtanx with respect to x.
3.
Find
4. Find
dy
dx
dy
dx
, if x 2 + y 2 = 25
c
if x = ct, y = t ,
d2 y
5. Ify = 4ax, find dx2 .
5 MARK QUESTIONS:
1. Differentiate the function x n by method of first principle.
2. Find
dy
5
if y = 6x 3 − 3 cos x + 4 cot x + 2e−x − x.
dx
dy
cosx+sinx
3. Find dx if y = cosx−sinx
dy
4. Find dx if y = (cosx)sinx
5. If y = tan−1 x, provethat (1 + x 2 )y2 + 2xy1 = 0
6 MARK QUESTIONS:
1. Find
2. Find
3. Find
dy
dx
dy
dx
dy
dx
xlogx
if y = 1+sinx
if x = a cos 3 θ , y = a sin3 θ at θ = π⁄4.
x
xx
if y = x x
1+x
.∞
..
.
dy
4. Ify = tan−1 (1−x) , find dx.
−1
5. If y = em sin x , provethat(1 − x 2 )y2 − xy1 − m2 y = 0
Directorate Of Technical Education
Karnataka State
15CP01E
Page 10
UNIT-3 APPLICATIONS OF DIFFERENTIATION
3 MARK QUESTIONS
1. Find the slope of the tangent to the curve x 2 + 2y 2 = 9 at a point (1, 2) on it.
2. Find the slope of the normal to the curve y = 2 − 3x + x 2 at (1, 0).
3. The law of motion of a moving particle is S = 5t 2 + 6t + 3 where ‘S’ is the
distance in metres and ‘t’ time in seconds. Find the velocity when t=2.
4. Find the rate of change of area of a circle with respect to its radius.
5. Show that the curve 2x 3 − y = 0 is increasing at the point (1, 2).
5 MARK QUESTIONS
1. For a moving body vertically upwards, the equation of motion is given by S =
98t − 4.9t 2 . When does the velocity vanish?
2. Find the equation to the tangent to the curve y = 2x 2 − 3x − 1 at (1,-2).
3. A circular patch of oil spreads on water and increases its area at the rate of 2
sq.cm/min. find the rate of change of radius when radius when radius is 4 cm.
4. The volume of the spherical ball is increasing at the rate of 36π cc/sec. Find the
rate at which the radius is increasing. When the radius of the ball is 2cm.
5. Find the max value of the function y = x 3 − 3x + 4.
6 MARK QUESTIONS
1. Find the max & min values of the function y = x 5 − 5x 4 + 5x 3 − 1.
2. Find the equation of normal to the curve y = x 2 + 2x + 1 at (1,1).
3. If S is the equation of motion where S = t 3 − 2t 2 find its acceleration when
velocity is 0.
4. The volume of sphere is increasing at 3c.c per second. Find the rate of increase of
the radius, when the radius is 2cm.
5. Water is flowing into a right circular cylindrical tank of radius 50 cms at the rate
of 500π cc/min. Find how fast is the level of water going up.
UNIT-4: INTEGRATION
3 MARK QUESTIONS
1.
Evaluate:∫(x 2 + x + 1) dx.
2.
Evaluate: ∫ cot 2 x dx
3.
Evaluate: ∫ e5x+8 dx
4.
Evaluate: ∫ 2x+5 dx
5.
Evaluate: ∫ sin5 x cos x dx
1
Directorate Of Technical Education
Karnataka State
15CP01E
Page 11
5 MARK QUESTIONS
1
1. Evaluate∫ (x 4 − x + cosec 2 x − e−2x + cos x) dx.
2. Evaluate: ∫ cos 3 x dx
3. Evaluate: ∫ sin 6x cos 2x dx
4. Evaluate: ∫ log x dx
5. Evaluate: ∫
(tan−1 x)
3
1+x2
dx
6 MARK QUESTIONS
1. Evaluate: ∫(tanx + cotx)2 dx.
2. Evaluate:∫(x + 1)(x − 2)(x − 3)dx
3. Evaluate: ∫ x 2 cos x dx
4. Prove that
x
2
dx
1
 x
 tan 1    c
2
a
a
a
1
5. Evaluate:∫ 9sin2 x+ 4cos2 x dx
UNIT-5: DEFINITE INTEGRATION AND ITS APPLICAITON.
3 MARK QUESTIONS
3
1. Evaluate: ∫2 (2x + 1) dx.
π⁄4
2. Evaluate: ∫0
sec 2 x dx.
2
3. Evaluate:∫0 ex dx
1 (sin−1 x)
4. Evaluate: ∫0
√1−x2
π⁄2
5. Evaluate: ∫0
2
dx.
cos x dx.
5 MARK QUESTIONS
π⁄2
1. Evaluate: ∫0
π
2. Evaluate: ∫0
sin 3x cos x dx.
cos x
1+sin2 x
dx.
1
3. Evaluate: ∫0 x(x − 1)(x − 2) dx.
4. Find the area bounded by the curve y = x 2 + 1 the x-axis and ordinatesx =
1 , x = 3.
5. Find the volume of the solid generated by the revolving of the curve y 2 = x 2 + 5x
between the ordinates x=1, x=2 about x-axis.
Directorate Of Technical Education
Karnataka State
15CP01E
Page 12
6 MARK QUESTIONS
1 cos(tan−1 x)
1. Evaluate: ∫0
1+x2
dx.
2. Find the area between the curves y = x 2 + 5 and y = 2x 2 + 1.
x2
y2
3. Find the volume of ellipsoid generated by revolving a2 + b2 = 1 between the
ordinates x = ±a about x-axis.
4. Find the centre of gravity of a solid hemisphere.
5. Determine the moment of inertia of a uniform rod of length 2l,
Cross-sectional area “a”about an axis perpendicular to the rod and passing through
the mid-point of the rod.
UNIT-6: INTEGRATION
3 MARK QUESTIONS
dy 8
d2 y
1. Write the order and degree of the differential equation(dx) + 3 dx2 − yex = 0.
2. Form the differential equation by eliminating arbitrary constants in y = m e2x .
3. Solve xdx + ydy = 0 .
4. Solve
dy
1+y2
x
=
dx
1+x2
.
5. Solve e dx + dy = 0 .
5 MARK QUESTIONS
1. Form the differential equation by eliminating arbitrary constants A and B iny =
Aex + Be−x .
2. Form the differential equation by eliminating arbitrary constants iny =
a cos mx + b sin mx.
3. Solve (1 + y)dx + (1 + x)dy = 0 .
dy
4. Solvedx + 3y = e2x .
5. Solve
dy
dx
+ y tan x = cos x
6 MARK QUESTIONS
1. Solve x(1 + y 2 )dx + y(1 + x 2 )dy = 0 .
2. Solve sec 2 x tan y dx + sec 2 y tan x dy = 0 .
dy
3. Solve x dx + y = x 3
dy
4. Solvedx + 3y = e2x .
dy
5. Solve dx + 2y cot x + sin 2x = 0
Directorate Of Technical Education
Karnataka State
15CP01E
Page 13
Government of Karnataka
Department of Technical Education, Bengaluru
Course: ENGINEERING MATHEMATICS - II
Course code: 15SC02M
Curriculum Drafting Committee 2015-16
Name
Designation
Institution
1
Dr. D.S. Prakash
Asst. Director (LRDC)
DTE, Bengaluru
2
Dr.MokaShekhu
Lecturer (Selection Grade
/Science)
Government Polytechnic,
Channasandra, Bengaluru
Sri.Sathyanaraya Dixit
Lecturer (Selection Grade
/Science)
PVP Polytechnic, Bengaluru
3
4
Sri. Guruprasad V
Lecturer (Selection Grade
/Science)
APS Polytechnic, Somanahalli
5
Dr.RajasekharHeera
Lecturer/Science,
Government Polytechnic,
Gulbarga.
CurriculumReview committee
Name
Designation
Institution
1
Dr.MokaShekhu
Lecturer (Selection Grade
/Science)
Government Polytechnic,
Channasandra, Bengaluru
2
Sri.Sathyanaraya Dixit
Lecturer (Selection Grade
/Science)
PVP Polytechnic, Bengaluru
Directorate Of Technical Education
Karnataka State
15CP01E
Page 14
GOVERNMENT OF KARNATAKA
DEPARTMENT OF TECHNICAL EDUCATION
Board of Technical Examinations, Bengaluru
Course Title: COMMUNICATION SKILLS IN
ENGLISH
Semester
: I / II
Teaching Scheme (L:T:P) : 4:0:0 (in hours)
Type of course
: Theory
CIE
: 25 Marks
Course Code
: 15CP01E
Course Group
Credits
Total Contact Hours
SEE
: Core
: 4 Credits
: 52
: 100 Marks
Pre-requisites:


Basic Knowledge of Grammar.
Listening, Speaking, Reading and Writing Skills as acquired in
Secondary Education.
Course Objectives:
1. Learn to apply the basic grammar in day to day communication in English.
2. Comprehend the given ideas in a passage and be able to effectively express the same
in English in written form.
3. Enrich their vocabulary through reading.
4. Face oral examinations and interviews.
5. Expresstheir ideas creativelythrough (spoken/written) exercises.
6. Create awareness about the importance of English in the Engineering and Corporate
fields, to enlighten its importance in the current global scenario.
Course Content:
UNIT I:CAREER PLANNING
(09Hrs)
Glossary; Comprehension Exercises;Vocabulary Exercises – Spelling;Grammar- Parts
of Speech;Newspaper Reading and Comprehension;Descriptive Writing – Describing
Objects;Listening/ Speaking Exercise – Self Introduction.
UNIT-II:THE GREAT INDIAN PSYCHOTHERAPY
(09Hrs)
Glossary; Comprehension Exercises;
Vocabulary Exercises – Prefixes and
Suffixes;Grammar – Articles and Prepositions;Descriptive Writing – Describing
People;Listening/ Speaking Exercises – Listening to speeches and writing gist of it in one’s
own words.
Directorate Of Technical Education
Karnataka State
15CP01E
Page 15
UNIT III:GLOBAL WARMING
(08Hrs)
Glossary; Comprehension Exercises; Vocabulary Exercises – Synonyms and
Antonyms;Grammar – Auxiliaries, Question Tags and Short-form Answers;Descriptive
Writing – Describing Places;Listening/ Speaking Exercises – Narrating one’s own
experiences of different situations in their day- to-day life.
UNIT IV: RENDEZVOUS WITH A WOMAN CORPORATE GIANT
(09Hrs)
Glossary; ComprehensionExercises; Vocabulary Exercises – Homonyms, Homophones,
Homographs;Grammar – Subject-Verb Agreement;Descriptive Writing – Describing
Processes;Listening/ Speaking Exercises – A short presentation on a given topic
;Paraphrasing of Proverbs;Different kinds of Interviews.
UNIT V: A UNIQUE PATIENT
(09 Hrs)
Glossary; Comprehension Exercises; Vocabulary Exercises – Compound words;
Grammar –Tenses; Descriptive Writing – Describing Events (Eg: College Day, National
Festivals, Etc.); Comprehension of a paragraph;Quiz – Questions on health and hygiene.
UNIT VI: A FARMER’S WIFE
(08 Hrs)
Glossary; Comprehension Exercises; Vocabulary Exercises – Formation of
plurals;Grammar – Active and Passive Voices;Descriptive Writing – Describing one’s goal
and its attainment; Developing hints into a paragraph; Comprehension of an unseen
passage.
Course Delivery:
The Course will be delivered through lectures, class room interactions, exercises and case
studies
Total No. Of Hours:52 Hours
Text
- 18 Hours
Grammar and Composition
- 34 Hours
Internal Assessment:Total 25 Marks
Internal Assessment Tests - 20 Marks
Classroom Assignment for Spoken Skills
Directorate Of Technical Education
- 05 Marks
Karnataka State
15CP01E
Page 16
Text Book:
COMMUNICATION SKILLS IN ENGLISH FOR POLYTECHNICS – By ORIENT
BLACKSWAN PUBLISHERS – Published By NITTTR CHENNAI
Reference Books:
1. HIGH SCHOOL ENGLISH GRAMMAR AND COMPOSITION BY WREN
AND MARTIN (S.CHAND & CO.)
2. THE KING’S GRAMMAR BY SANJAY KUMAR SINHA (S.CHAND & CO.)
3. STRENGTHEN YOUR WRITING BY V.R. NARAYANA SWAMY (ORIENT
BLACKSWAN)
4. ESSENTIAL ENGLISH BY E. SURESH KUMAR et.al (ORIENT BLACKSWAN)
5. ENGLISH GRAMMAR &COMPOSITION AND EFFECTIVE BUSINESS
COMMUNICATION BY M.A.PINK AND THOMAS S.E. (S.CHAND & CO.)
6. WHAT YOUNG INDIA WANTS: SELECTED ESSAYS AND COLUMNS BY
CHETAN BHAGAT (RUPA PUBLICATION, NEW DELHI)
7. CHICKEN SOUP FOR THE INDIAN DOCTOR’S SOUL BY JACK CANFIELD
et.al (WESTLAND LIMITED PUBLISHERS)
8. SOFT SKILLS BY K. ALEX(S.CHAND AND COMPANY)
9. “REFLECTIONS”: I PUC ENGLISH COURSE BOOK, PUBLISHED BY
DEPT.OF PRE-UNIVERSITY EDUCATION, GOVT OF KARNATAKA
10. A PRACTICAL COURSE FOR WRITING SKILLS IN ENGLISHBY
J.K.GANGAL. (PHI PUBLICATIONS)
11. ENGLISH LANGUAGE LABORATORIES – A COMPREHENSIVE MANUAL
BY NIRAKONAR(PHI LEARNING)
Course outcomes:
On successful completion of the course, the student willbe able to:
1. Use the language correctly, concisely and effectively in both spoken and written
format.
2. Comprehend Engineering subjects in English and perform their professional activities
using English.
3. Participate in group discussion, presentation, reporting and documentation
successfully using English.
4. Recognize their latent talents and choose their careers accordingly.
5. Develop their lateral thinking abilities and thus identify innovative methods in solving
problems in their lives.
Directorate Of Technical Education
Karnataka State
15CP01E
Page 17
6. Sensitize themselves to various environmental issues and thus take care of the fragile
ecology.
Mapping Course Outcomes with Program Outcomes:
COURSE
OUTCOMES
1
1
S
2
S
S
S
3
S
S
S
4
S
5
S
6
S
2
S: Strong relationship
3
PROGRAM OUTCOMES
4
5
6
7
8
9
10
S
11
12
S
S
S
S
S
M: Moderate relationship
Question Paper Blue Print:
Course: COMMUNICATION SKILLS IN ENGLISH
Course code: 15CP 01E
Sl.
No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Content
Knowledge
Lesson
Grammar
Parts of speech
Auxiliaries:Primary and
Modals
Articles
Identification of tenses
Active and Passive voice
Prepositions
Question tags
Short form answers
Prefixes and Suffixes
Homonyms/Homophones/
Homographs
Synonyms and Antonyms
Agreement of the Verb
with its Subject
Descriptive writing –
Describing objects,
people and places.
Descriptive writing –
Directorate Of Technical Education
Comprehension
Application
24
Analysis
15
Total
4
39
4
3
3
3
4
3
4
4
2
4
4
4
3
2
2
4
4
4
4
4
4
3
2
5
Karnataka State
5
15CP01E
Page 18
16.
Describing processes,
events.
Comprehension of an
unseen passage
Total
23
5
5
10
10
44
23
10
100
Question Paper Pattern:
Sl. Source
No.
1.
Textual Units
2.
3.
Textual Units
Grammar
4.
Grammar
5.
Grammar
6.
Grammar
7.
Grammar
8.
9.
Grammar
Grammar
10.
Grammar
11.
Grammar
12.
Grammar
Question
Type
Answer any twelve of the
following questions in one
or two sentences each
Write short notes on any
three of the following
15 questions to
be asked from 6
Textual Units
5 questions to be
asked from 6
Textual Units
4 sentences are
to be given and
word to be
identified is
underlined
3 sentences are
to be given.
3 sentences are
to be given
4 sentences are
to be given
4 sentences are
to be given for
changing the
voice of the verb
Identify the parts of
speech of the underlined
words
Fill in the blanks using
suitable Auxiliaries
Fill in the blanks using
suitable Articles
Identification of Tenses
Active and Passive Voice:
Change the voice of the
verb in the following
sentences
Prepositions:
Fill in the blanks with
appropriate prepositions
Question Tags:
Add question tags
Short form answers:
Give short form answers
Prefixes and Suffixes:
Add Prefixes/Suffixes to
the stem words
Homonyms, Homophones
and Homographs:
Use the following words
in your own sentences.
Directorate Of Technical Education
Marks
4 sentences are
to be given
3 sentences are
to be given
2 sentences are
to be given
2 stem words are
to be given
12 x 2 = 24
5 x 3 = 15
4 x 1= 4
3 x 1= 3
3 x 1=3
4 x 1= 4
4 x 1= 4
4 x 1= 4
3 x 1= 3
2 x 1= 2
2 x 1= 2
4 words are to be
given
Karnataka State
4 x 1= 4
15CP01E
Page 19
13.
14.
15.
16.
Grammar
Grammar
Composition
Composition
Total
Synonyms / Antonyms:
Give the
Synonyms/Antonyms for
the following words
Agreement of the Verb
with its Subject:
Fill in the blanks with
verbs that agree with their
subjects
Descriptive Writing:
Describe objects, people,
places and processes
Comprehension of an
unseen passage:
Read the following
passage and answer the
questions that follow
-
2 words each are
to be given
2 x 1= 2
4 sentences are
to be given
4 x 1= 4
2 questions are
to be given
5 x 2=10
Questions to be
set for 10 marks
10
-
100
Guidelines for Question Paper Setting:
1. The question paper must be prepared based on the blue print without changing the
weightage of marks fixed for each category.(As per model question paper)
2. The question paper pattern provided should be adhered to.
3. Care must be taken so that there is only one possible answer for all ‘fill in the
blanks’ questions.
Course Assessment and Evaluation:
To
Whom
I A Tests
Class room
Assignments
Students
CIE
(Continuous Internal
Evaluation)
Direct Assessment
What
Frequency
Max
Marks
Evidence
Collected
Course
Outcomes
Three tests
(average of
three
testswill be
computed)
20
Blue
Books
1 to 6
Any one
Activity(*)
05
Log of
Activity
1 and 3
TOTAL
Directorate Of Technical Education
25
Karnataka State
15CP01E
Page 20
SEE
(Semester End
Examination)
Indirect Assessment
End Exam
Students
Student Feedback on
course
End Of the
Course
100
Middle Of
The Course
Answer
Scripts at
BTE
1 to 6
1 to 3
delivery of
the course
Feedback forms
1 to 6
Effectiveness
End Of The
of delivery of
Questionnaire
End Of Course Survey
Course
instructions
and
assessment
Note: I.A. test shall be conducted for 20 marks. Any decimals shall be rounded off to the next
higher digit.
Students
* Class room Assignments:
Evaluated for any one activity:
1.
2.
3.
4.
5.
6.
7.
Introducing oneself
Discussion about weather
Discussion about hobbies
Discussing holiday plans
Telephonic conversation
Talking about favorite sports, movie, TV shows etc.
Description about one’s goal and its attainment.
Composition of Educational Components:
Questions for CIE and SEE will be designed to evaluate the various educational components
(Bloom’s Taxonomy) such as:
Sl.
No.
Educational Component
Weightage
(%)
1
Remembering and Understanding
20
2
Applying the knowledge acquired from the course
40
3
Analysis
15
4
Evaluation
05
5
Creating new knowledge
20
Directorate Of Technical Education
Karnataka State
15CP01E
Page 21
Tutorial Exercise:
Suggested list of Tutorial Exercises leading to the development of speaking skills:
1.
2.
3.
4.
5.
6.
7.
Introducing one self
Introduction about family
Discussion about weather
Seeking permission to do something
Description of hobbies
Seeking information at bus/railways/air stations
Conversation with friends/bank staff/ doctors/ advocates/ superiors/
industrialist etc..,
8. Discussing holiday plans
9. Asking about products and placing orders.
10. Telephonic conversation.
11. Talk about favorite sport/ movie/ actor/ TV show etc.
12. Greeting a friend on his/her birthday, etc.
13. Description about one’s goal and its attainment.
Sources:
UNIT 1: CAREER PLANNING:SOFT SKILLS-BY DR. K. ALEX
UNIT 2:THE GREAT INDIAN PSYCHOTHERAPY: WHAT YOUNG INDIA WANTS:
SELECTED ESSAYS AND COLUMNS- BY CHETAN BHAGAT
UNIT 3:GLOBAL WARMING: AN ESSAY BY DR. B.M.RAVINDRA, RETD. DY. DIR.,
DEPT. OF MINES AND GEOLOGY
UNIT 4:RENDEZVOUS WITH A WOMAN CORPORATE GIANT: ESSENTIAL
ENGLISH BY E. SURESH KUMAR et.al
UNIT 5:A UNIQUE PATIENT:CHICKEN SOUP FOR THE INDIAN DOCTOR’S
SOUL - BY JACK CANFIELD et.al
UNIT 6:A FARMER’S WIFE:REFLECTIONS: I PUC ENGLISH COURSE BOOK,
PUBLISHED- BY DEPT. OF PU EDUCATION, GOVT OF KARNATAKA
Government of Karnataka
Directorate Of Technical Education
Karnataka State
15CP01E
Page 22
Department of Technical Education, Bengaluru
Course:COMMUNICATION SKILLS IN ENGLISH
Course code: 15CP 01E
Curriculum Drafting Committee 2015-16
Name
Designation
Institution
1
Mrs. Geetha K.
Selection Grade Lecturer GRICP, Bengaluru
2
Mr. C.V. Inamdar
Selection Grade Lecturer Govt. Polytechnic, Belagavi
3
Mrs. BharathiNaik
Selection Grade Lecturer
4
Mrs. RajyashreeSrikant
Selection Grade Lecturer Govt. Polytechnic, Bagepalli
5
Mrs. Sunitha M.N.
Selection Grade Lecturer HMS Polytechnic, Tumakuru
6
Mr. Deepak Dongre
Selection Grade Lecturer
Women’s Polytechnic,
Mangaluru
Govt. Residential Women’s
Polytechnic, Shivamogga.
Review committee
Name
Designation
Institution
1
Mrs. RajyashreeSrikant
Selection Grade Lecturer Govt. Polytechnic, Bagepalli
2
Mrs. Shailaja D.
Lecturer
Women’s Polytechnic,
Bengaluru
Model Question Paper:
Code: 15CP 01E
I / II Semester Diploma Examination
COMMUNICATION SKILLS IN ENGLISH
Time: 3 Hours]
(Common to all Diploma programmes)
[Max. Marks: 100
Note:
(i)
(ii)
(iii)
Answer all the questions as directed.
Spelling and grammatical errors shall be penalized.
Answers to Question No. I and II are based on the prescribed text.
I. Answer any TWELVEof the following in one or two sentences each:
Directorate Of Technical Education
Karnataka State
15CP01E
2 x 12=24
Page 23
1. What do you mean by career?
2. Define ‘Career Planning’?
3. What should be the major focus of career planning?
4. What are the questions often asked by the young?
5. What are the three traits as identified by the author?
6. How have the content of our films changed?
7. What is Global Warming?
8. How does Global Warming occur?
9. What are the major causes for Global Warming?
10. What was the usual talk when the parents of the children met?
11. What ambition did Nooyi’s mother have for her daughter?
12. Who is the sinner according to the poem?
13. Why did the farmer commit suicide?
14. Explain in your own words the reason for the farmer’s visit to the clinic.
15. Describe how the doctor fixed the bull’s tooth.
II. Write short notes on any THREE of the following:
5 x 3=15
1. How does career planning play a major role in making career choices?
2. How does our environment contribute to our numbness to injustice?
3. Explain in your own words the traditional and modern views of one or two facts
expressed in the interview?
4. Explain in your own words the reason for the farmer’s visit to the clinic.
5. Why does the farmer’s wife resolve to live?
III. GRAMMAR:
1. Identify the parts of speech of the underlined words:4 x 1=4
a. All spoke in his favour.
b. Let us even the ground.
c. I can shift for myself.
d. She lives in luxury.
2. Fill in the blanks with suitable auxiliaries:3 x 1=3
a. You _______ not use calculators in the exam hall.
b. _______I come in sir?
c. ______ you lend me your scooter?
3. Fill in the blanks with suitable articles:
a. Charlie is ___ European.
b. She is ____untidy girl.
c. What is ____matter?
3 x 1=3
4. Identify the tense of the verbs in the following sentences:
Directorate Of Technical Education
Karnataka State
15CP01E
4 x 1=4
Page 24
a.
b.
c.
d.
I am writing a letter.
Sun rises in the east.
I have done my homework.
She has been learning western music.
5. Change the voice of the verb in the following sentences:4 x 1 = 4
a. Who did this?
b. The money was lost.
c. The cat is chasing the mouse.
d. He was made the king.
6. Fill in the blanks with appropriate prepositions:4 x 1=4
a. Caesar was killed ____Brutus____ a dagger.
b. We arrived____ Belagavi_____6 o’ clock.
7. Add suitable question tag:3 x 1=3
a. You were late this morning,_______?
b. I did not hurt you, _________?
c. Your father is a doctor, ______?
8. Give short form answers for the following:2 x 1=2
a. Does your father smoke? (Negative)
b. Have you read today’s newspaper? (Affirmative)
9. Add Suffix and Prefix to the following:2 x 1=2
a. _________ nation__________
10. Frame sentences using each word to bring out the difference in meaning
clearly:4 x 1 = 4
a. (i) Sight
(ii) Site
b. (i) Present
(ii) Present
11. Give Synonyms to the following words:2 x 1=2
a. Teach
b. Agree
12. Give Antonyms to the following words:2 x 1 = 2
a. War
b. Happy
13. Fill in the blanks with verbs to agree with their subjects:4 x 1=4
a. Twenty kilometers______not a long distance.
b. Either you or I______ mistake.
Directorate Of Technical Education
Karnataka State
15CP01E
Page 25
c. Gold and Silver_______ precious metals
d. The captain with his team_____arrived.
IV. COMPOSITION:
1. Describe your favorite tourist place.
2. Describe the process of preparing tea.
5
5
V. COMPREHENSION:
Read the following passage and answer the questions that follow:
She was all of one-and-a-half years old. Two nurses were holding
her down while a third was trying to insert a syringe into a vein to get a blood
sample. She was crying loudly, but I was crying even louder. We had no
option. It was the fifth day and the fever had not broken; it was imperative that
we run the test to rule out typhoid. They finally asked me to leave the room,
not just because they were embarrassed at a grown-up crying, but because they
thought it would be easier and quicker for the child if the mother was not in
the room. They got her out within a few minutes. She jumped into my arms
and gave a few more loud wails. Fresh tears streamed down my eyes as we
made our way out of the wretched pathology lab. Her paediatrician was
getting into the building just then. Between sobs I told him how my daughter
had flung the syringe and the lab had to have three attendants on her to collect
the sample. As I was talking, my voice broke. To my surprise, Dr. Patel
handed me his briefcase and stethoscope, took my girl in his arms and went to
the store just a few paces away. He bought her a Cadbury bar and my
daughter’s face lit up like a million bucks. Gone were the tears, the memory of
the syringe, smell of antiseptic, cotton …everything receded to the background
as she unwrapped the big bar with her tiny fingers and dug into it with all her
heart. I smiled as the angelic doctor handed me my princess.
Meanings of difficult words:
1. Imperative:absolutely essential
2. Wretched: miserable; unpleasant
3. Pathology lab: where the causes and effects of diseases arestudied
4. Receded: moved back gradually
5. Paediatrician: children’s doctor
6. Flung:(past tense of fling) an act of throwing violently
7. Attendants:one who attends
Questions:
1.
How old was the child?
Directorate Of Technical Education
1
Karnataka State
15CP01E
Page 26
2.
3.
4.
5.
6.
What did the nurses have to do to get a blood sample?
2
Why was the mother asked to leave the room?2
Why does the mother called the pathology lab ‘wretched’? 2
How did Dr.Patel calm down the little girl?
2
Suggest a suitable title for this passage.
1
***********
Model Question Bank:
Course Title :COMMUNICATION SKILLS IN ENGLISH
I.
Course Code: 15CP01E
ANSWER IN ONE OR TWO SENTENCES EACH:
1. What do you mean by career?
2. Define ‘Career Planning’?
3. What should be the major focus of career planning?
4. List out the benefits of career planning?
5. Identify the guidelines for choosing a career?
6. What are the frequently asked questions about career fields?
7. How do connections help in searching for a suitable job?
8. What are the sample questions asked about a particular job title?
9. What is the role of a career counselor in charting out a career path?
10. List out the factors influencing career decisions?
11. What has startled global experts?
12. What are the questions often asked by the young?
13. What are the three traits as identified by the author?
14. How have the content of our films changed?
15. In what way have we been exposed to corruption from our childhood?
16. How can we contribute to India’s progress?
17. What is global warming?
18. How does global warming occur?
19. What are the major causes for Global Warming?
20. What is the quantity of fossil fuel burnt each year?
21. How does the concentration of carbon dioxide in the air increase?
22. Define Greenhouse effect?
23. By burning forests around the world,how much carbon dioxide is added to the
atmosphere?
24. What are the steps to be taken to save our environment?
25. What is the possible problem of global warming and its result?
26. What is the effect of global warming?
27. What was the usual talk when the parents of the children met?
28. What ambition did Nooyi’s mother have for her daughter?
29. How did Nooyi’s mother threaten Nooyi?
Directorate Of Technical Education
Karnataka State
15CP01E
Page 27
30. What good news did IndraNooyi want to share with her mother?
31. What did Nooyi’s mother say when she was told the good news?
32. What lesson did Nooyi learn from her mother?
33. Why does Nooyi’s mother take full credit for Nooyi’s success?
34. What does IndraNooyi discover about the language of business in the U.S?
35. What does IndraNooyi think about herself as a mother?
36. What is the secret of IndraNooyi’s success?
37. How does IndraNooyi manage time?
38. What is IndraNooyi’s passion?
39. Describe the farmer who visited the dentist’s clinic.
41.What was the curious act of the farmer?
42.What request did the farmer make?
43.Why did the doctor almost ‘faint in shock’?
44.What did the farmer say when he came back to the clinic?
45.Who do ‘you’ and ‘I’ in the poem refer to?
46.Who is the sinner according to the poem?
47.Why did the farmer commit suicide?
48.Explain the meaning of the phrase ‘you crossed over’.
49.What are the contrasts depicted by the writer between the farmer’s wife and her
husband?
50.What memories of her husband trouble her now?
II. ANSWER IN A PARAGRAPH OF NOT MORE THAN 100 WORDS EACH:
1.
2.
3.
4.
5.
6.
7.
8.
Write a short note on Guidelines for Choosing a Career.
How does career planning play a major role in making career choices?
Explain in your own words the first trait of our psyche.
How does our environment contribute to our numbness to injustice?
Describe the divisiveness that the author talks about.
What are the causes and effects of global warming?
How does deforestation affect our environment?
What information do you gather about IndraNooyi after going through the
interview with NandanNilekani?
9. How did IndraNooyi’s mother try to teach her the role of a woman in a
family? Do you agree with her?
10. How do you think IndraNooyi’s mother and her husband contribute to her
success?
11. What does IndraNooyi mean when she says “I have to decide every moment
in time whether I am going be a mother or a wife or an executive”?
12. Explain in your own words the traditional and modern views of one or two
facts expressed in the interview?
13. Explain in your own words the reason for the farmer’s visit to the
clinic.
Directorate Of Technical Education
Karnataka State
15CP01E
Page 28
14. Describe how the doctor fixed the bull’s tooth.
15. Describe the lament of the farmer’s wife on her husband’s death?
III.GRAMMAR:
1. Write the plurals of:
a. Cow
f. Loaf
b. Dish
g. Scarf
c. Tax
h. Goose
d. Cargo
i. Son–in- law
e. Army
j. Formula
2. Fill in the blanks with suitable articles:
a. Dr. Sanjay is ___ dentist.
b. My friend is ___ MLA.
c. Have you ever visited___ Himalayas?
d. Please bring me ___ cup of coffee.
e. He is ___untidy boy.
f. She is __backbone of her organization.
g. He is ___ honour to his profession.
h. Raghu is going to___ mall.
i. ____world is ___happy place.
j. I met___ European at ___ party in ___ friend’s house.
3. Fill in the blanks with suitable prepositions:
a. She works __ a big shop __ Jayanagar.
b. There is a book ___ the floor. Put it __ the table.
c. I often see Mrs. Dixit __ the station, waiting __ her train.
d. Mangalore is __ the coast __ the south __ India.
e. My daughter isn’t __ work today because she isn’t feeling well.
f. There were several people __ the bus stop.
g. Mr. and Mrs. Sharma were __ the shop talking __ the assistant.
h. Yesterday we spent the day __ the country.
i. We had lunch __ a pretty little village.
j. When I was __ the bus stop this morning; I saw two boys __ the church roof.
4.Add appropriate prefixes to form new words:
a. form
b. regular
c. literate
d. accurate e. operate
f. pure
g. fix
h. technic i. tone
j. national
5. Add appropriate suffixes to form new words:
a. rich
b. love
c. start
d. beauty
e. differ
f. use
g. cheer
h. attract
i. save
j. slow
6. Give the synonyms of the following:
Directorate Of Technical Education
Karnataka State
15CP01E
Page 29
a. release
f. teach
b. arrive
g. change
c. trapd. happinesse. e. large
h. confusion i. discover
j. charge
7. Give the antonyms for the following:
a. riseb. increase c. smiled. stricte. e.sadness
f. full g. host h. success i. discoverj. charge
8. Add the correct question tags to the followingstatements:
a. It is cold,_____?
b. But it isn’t as cold as yesterday, ____?
c. It was very cold yesterday,_____?
d. It hasn’t been so cold for a long time, ____?
e. It is snowing in the north, ____?
f. It often snows there, ____?
9. Give short form answers for the following:
a. Does Renu work hard?__________.____________.
b. Can you swim?______________._____________.
c. Are you angry with me?___________.________.
d. Do you like watching movies?__________.________.
e. Have you met our Prime Minister?_________._________.
10. Fill in the blanks with appropriate words from the brackets:
a. His father-in-law owns a ______ farm. (dairy/diary)
b. Diabetics must take extra care of their ______. (feat/feet)
c. Rekha is a popular ____ of Bollywood.(heroin/heroine)
d. The
country
was
prosperous
during
the
______
Krishnadevaraya.(rein/reign/rain)
e. Youshould be_____ in the class. (quite/quiet)
of
11. Differentiate between the following pairs of words by using each of them
in a sentence of your own:
a. Wrong, rungb. Principal, principle
c. Hair, hare
d. Gate, gaite. e. Sea, see
f. Fair, fare
g. Some,sumh.
h. Sell, cell
i. Weather, whether
j. Birth, berthk. Vacation, vocationl. Bear, bare
12. Fill in the blanks with verbs to agree with their subjects:
a. Every seat in the bus ____ taken.
b. All the seats in this bus ____ reserved.
c. One of my friends _____ visiting me this week end.
d. Neither Gopal nor Deepak ____ come today.
Directorate Of Technical Education
Karnataka State
15CP01E
Page 30
e.
f.
g.
h.
TheCaptain of Indian teamas well as his players ____ staying here.
Intelligence and hard work _____ required to get good marks.
Mathematics ____ my favourite subject.
_____ your father and mother at home?
13. Identify the tense of the verbs in the following in the sentences.
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
He was listening to her attentively.
Raghu denies stealing my purse.
She has bought a flat near my house.
Kiran fought bravely.
The teachers are discussing the details of the annual day function.
I am not trying to copy you.
Sushma was cooking pasta.
The students have been waiting eagerly for the results.
Risheeba speaks Tamil very fluently.
I have been waiting for her for over an hour.
14. Change the voice:
a. Ramu was making a kite.
b. Close the door.
c. Cable wires have been cut.
d. We prohibit smoking.
e. Everyone loves him.
f.My watch was lost.
g. He was refused admission.
h. Do not insult the poor.
i. Without effort nothing can be
gained.
j. They made him
***********
Directorate Of Technical Education
Karnataka State
15CP01E
Page 31
Government of Karnataka
Department of Technical Education
Board of Technical Examinations, Bengaluru
Course Title:BASICS OF SEMICONDUCTOR
DEVICES
Semester
:2
Teaching Scheme in Hrs (L:T:P) : 4:0:0
Type of course
:
Lecture
Assignments
CIE
: 25 Marks
Course Code
: 15EC21T
Course Group
: Core
Credits
:4
+ Total Contact Hours : 52
SEE
Marks
:
100
Prerequisites
Knowledge of physics and principles of electrical engineering.
Course Objectives
Acquire the fundamental knowledge and expose to the field of semiconductor theory and
devices and their applications.
Course Outcomes
On successful completion of the course, the students will be able to
1. Describe the properties of materials and application of semiconductor electronics
2. Apply the knowledge of semiconductors to illustrate the functioning of basic
electronic devices.
3. Demonstrate the switching and amplification application of the semiconductor
devices.
4. Demonstrate the control applications using semiconductor devices.
5. Identify the fabrication methods of integrated circuits.
6. Classify and describe the semiconductor devices for special applications.
Course Contents
UNIT - 1:Introduction to Semiconductor Devices
Duration: 11
Hr.
Semiconductor Physics:Atomic structure, Neil Bohr's atomic theory, definition of
conductors, insulators and semiconductors, energy level diagrams.Semiconductors:
Classification and types, intrinsic and extrinsic, P-type and N-type semiconductors, majority
and minority carriers, recombination, effect of temperature.PN junction:Formation, depletion
region, barrier potential, reverse breakdowns, PN junction as diode, symbol, biasing modes,
V-I characteristics, reverse saturation current, diode current equation, effect of temperature
on diode current,ideal diode, basic diode ratings.Zener diode: Symbol, Principle,Zener
breakdown, V-I characteristics.Application of Diodes:diode as aswitch, voltage regulator.
Directorate Of Technical EducationKarnataka State
15SC02M
Page 32
UNIT - 2: Bipolar TransistorsDuration: 10 Hr.
Transistor Basics: Definition, formation of transistor-PNP and NPN, symbols, working
principle, transistor current equation.Modes of operation: CB, CE and CC Configuration
modes, input and output characteristics in CB and CE configuration, definition of Ri& Ro, α,
β, and γ relation between them, simple problems, comparison of CB, CE and CC
modes.Applications:Switch and amplifier in CE configuration, thermal runaway, role of heat
sinks.
UNIT –3:Field Effect TransistorDuration: 10 Hr.
FET basics: Physical structure of FET, principle of operation, P-channel and N-channel,
symbols, drain and transfer characteristics,definition of pinch-off voltage, rd, gm, µ and their
relationship, comparison of JFET and BJT, applications of JFET.MOSFET: Types-Depletion
and enhancement, P-channel and N-channel, physical structure, comparison of MOSFET and
JFET.
CMOS:Working principle, low-power consumption feature,limitations, inverter, applications
of CMOS, comparison with MOSFET.
UNIT - 4:Special Semiconductor DevicesDuration: 08 Hr.
Physical structure, Working principle, characteristic curves, symbol and applications of
following semiconductor devices: UJT, SCR, DIAC and TRIAC. Features ofvaractor, tunnel
diode, Gunn diode, PIN diode, and Schottky diode.
UNIT -5: Fabrication of Integrated ICsDuration: 06 Hr.
Definition and need of IC’s, advantages and disadvantages, classification of ICs based
onstructure, scale of integration, function. Fabrication process of monolithic ICs.Fabrication
of diode and capacitor.
UNIT- 6: Opto-semiconductor DevicesDuration: 07 Hr.
Definitions: photo emission, photoconduction, photovoltaic effect with application examples.
Features: photodiode, phototransistor, LED, Opto-coupler, LED lamps, solar cell, solar
panel,LASER and MASER.
References
1. Principles of Electronics, RohitMehta&V K Mehta, S. Chand Publishing ISBN:
9788121924504
2. Electronic Devices and Circuits, David A. Bell, Oxford University Press, ISBN:
9780195693409
3. Fundamentals of Electrical and Electronics Engineering, B. L. Theraja, S. Chand and
Company. REPRINT 2013, ISBN 8121926602.
4. http://www.electronics-tutorials.ws
Directorate Of Technical EducationKarnataka State
15SC02M
Page 33
Course Delivery
The course will be delivered through lectures, presentations and support of modern tools.
Mapping Course Outcomes with Program Outcomes
Course
outcomes
1
2
3
4
5
6
1
S
S
S
S
S
S
2
S
S
S
3
4
S
S
M
S
S
Programme Outcomes
5
6
7
8
9
M
11
12
M
M
M
M
M
M
S
10
M
M
M
M
Legends-S: StrongRelationship M: Moderate Relationship.
Course Assessment and Evaluation Scheme
CIE*
IA
Students
What
Assignment
End
SEE*
Exam
End of the
Course
Total
Student
Feedback on
course
Middle of the
Course
End of
Course
Survey
Students
Indirect Assessment
Direct Assessment
method
Assessment
Method
When/Where
To
(Frequency
Max.
Whom
in the
Marks
course)
Three Tests
(Average of
20
three tests to
be computed)
*CIE – Continuous Internal Evaluation
05
100
Evidence
Collected
Course
Outcomes
Blue Books
1 to 6
Assignment
Books
Answer
Scripts at BTE
1 to 6
1 to 6
125
1 to 6
&Delivery of
course
1 to 6,
Effectiveness
of Delivery
End of the
of
Nil
Questionnaires
Course
Instructions
&
Assessment
Methods
*SEE – Semester End Examination
Directorate Of Technical EducationKarnataka State
Nil
15SC02M
Feedback
Forms
Page 34
Note: I.A. test shall be conducted for 20 marks. Any decimals shall be rounded off to the next
higher digit.
Composition of Educational Components
Questions for CIE and SEE will be designed to evaluate the various educational components
such as shown in the following table.
Sl.
No.
1
2
3
4
5
Component
Remembering and Understanding
Applying the knowledge acquired from the course
Analysis
Evaluation
Creating new knowledge
Weightage
(%)
45
20
20
10
05
Study and Question Paper Pattern
.
Unit
No.
Unit Name
I Introduction to Semiconductor
Devices
II Bipolar Transistor
III Field Effect Transistor
IV Special Semiconductor Devices
V Fabrication of IC’s
VI Opto Semiconductor Devices
Total
Study
Duration
(Hrs.)
11
10
10
08
06
07
52
No. Questions for End-exam
5 Marks
10 Marks
PART - A
PART - B
01
02
02
02
01
01
02
09
(45marks)
02
02
02
01
01
10
(100 marks)
Model Question Paper
Course Title
Course Code
Semester
Time
Max.Marks
Instructions
: Basics of Semiconductor Devices
: 15EC21T
:FIRST
: 3Hrs
: 100
:1. Answer any SIX question from Part A(5x6=30 Marks)
2. Answer any SEVEN full questions from Part B(7x10=70 Marks)
Part A
1. Compare the features of insulators, conductors and semiconductors.
2. Define alpha & beta; evaluate beta in terms of alpha
3. Explain how transistor can work as a switch
Directorate Of Technical EducationKarnataka State
15SC02M
Page 35
4.
5.
6.
7.
8.
9.
Distinguish between BJT and JFETs.
Deduce the relation between gm, rd and µ
List the features of TRIAC.
Tabulate advantages and disadvantages of ICs.
Define Photo emissive, Photoconductive and photovoltaic effect
List the applications of phototransistors.
Part B
1. (a) Explain how Zener diode can act as a voltage regulator. (5)
(b) Explain how diode can be used as electronic switch. (5)
2. (a) Describe how doping helps to increase current conduction in n-type
semiconductor.(6)
(b) Define barrier potential and reverse saturation current. (4)
3. (a) Justify the transistor current equation IE=IB+IC. (4)
(b) Compare CE and CB modes of transistors. (6)
4. (a) Explain the need for heat sink in electronic devices.(6)
(b) Calculate the current gain in CB mode given that IB=10µA and IC=5mA.(4)
5. (a) Explain the working of N-channel JFET(5)
(b) Compare enhancement and depletion MOSFETS (5)
6. (a) List the features of CMOS (5)
(b) Explain the working of CMOS inverter (5)
7. Explain the working principle of SCR and list its applications.
8. (a) List the features of varactor diode. (6)
(b) Define valley and peak voltages as applicable to UJT. (4)
9. Describe the steps involved in fabrication of diode in monolithic ICs.
10. (a) Explain the operation of LASER
(b) List the features of LED bulbs.
Question Bank
Note: The questions in the question bank are indicative but not exhaustive.
UNIT-1
5-mark questions
1. Distinguish between conductor and semiconductor materials
2. State the properties of semiconductors.
3. Explain intrinsic and extrinsic semiconductors with examples
4. Define doping, explain the atomic structure of N-type semiconductor
5. Define doping, explain the energy band diagram of a P-type semiconductor
6. Outline the differences between N and P type semiconductors
7. Describethe use of PN junction diode as switch
8. Describe forward characteristics of a PN junction diode
9. List the specifications of a PN junction diode
10. Analyze the equivalent circuit of ideal diode
10-mark Questions
1. (a) Explain PN junction diode as a switch
(b) Describe the effect of temperature on reverse saturation current in PN junction.
2. (a) Show how Zener diode can be used as voltage regulator
(b) Distinguish between Zener breakdown and Avalanche breakdown.
Directorate Of Technical EducationKarnataka State
15SC02M
Page 36
3.
4.
5.
6.
Describe the working of Zener diode in forward and reverse bias
Explain the effect of temperature on barrier voltage in PN junction diode.
Describe the formation of PN junction, depletion region and potential barrier
Sketch V-I characteristics of PN junction diode with circuit in both FB and RB
modes.
7. Describe how dopants can increase the current conduction in semiconductors.
8. (a) Sketch V-I characteristics of Zenerdiodein FB and RB bias modes.
(b) Outline the relevance of RB mode in Zener diode.
UNIT-2
5-mark questions
1. List the constructional features of an NPN transistor
2. List the constructional features of an PNP transistor
3. Explain the working principle of NPN/PNP transistor
4. Write a note on transistor current equation.
5. Base width of transistor is thin and collector is thick, justify.
6. Emitter is heavily doped and base is lightly doped, justify.
7. Define alpha and beta, deduce the relation between them.
8. Sketch and explain the input characteristics of CE mode
9. Sketch and explain the output characteristics of CE mode
10. Justify the need for heat sink.
10-mark Questions
1. (a) List the physical features of a transistor.
(b) Explain the working principle of a transistor
2. Sketch and explain the input and output characteristics of CE mode
3. Compare CE, CB and CC modes of a transistor
4. Justify how transistor can act as a switch with support of circuit and waveforms
5. Justify how transistor can act as an amplifier with support of circuit and waveforms in
CE mode
6. (a) Explain the terms cut-off, saturation and active region of a transistor and their
relevance.
(b) Write a note on transistor as emitter follower.
UNIT-3
5-mark Questions
1. Compare BJT and JFET.
2. Define JFET parameters.
3. List the applications of JFET and SCR
4. List the constructional features of JFET
5. List the advantages of JFET over BJT.
6. Write theapplications of CMOS.
7. List the features of CMOS
8. Compare the enhancement and depletion modes of MOSFET
9. Correlate the JFET parameters rd, gm and µ.
10. Explain CMOSFET as an inverter
10-mark Questions
1. Explain the concept of field effect and analyse how itcontrols current in JFET.
Directorate Of Technical EducationKarnataka State
15SC02M
Page 37
2. (a) Sketch the symbols of JFET (n and p channels), MOSFET (enhancement and
depletion) and CMO
(b) JFET is a voltage controlled device, justify.
3. Sketch and discuss the drain characteristics of N- channel JFET
4. Sketch and discuss the transfer characteristics of a JFET
5. Construct and explain enhancement type MOSFET
UNIT-4
5-mark Questions
1. Describe the construction of UJT
2. Explain the operation of UJT
3. Write the equivalent circuit of UJT. Define intrinsic stand-off ratio.
4. List the applications of UJT and varactor diode
5. Describe the construction of SCR
6. Explain holding and latching currents of SCR
7. List the applications of SCR and TRIAC
8. List the applications of PIN diode and Gunn diode
9. Sketch and discuss the VI characteristics of DIAC
10. List the features of GUNN diode
11. Write the features of Varactor diode
12. List the features of Schottky diode
10-mark Questions
1. Sketch and discuss the V-I characteristics of UJT
2. Discuss the V-I characteristics of SCR
3. Describe the construction and Explain the operation of TRIAC
4. Explain the constructional features and the operation of DIAC
5. Discuss the characteristics of TRIAC
UNIT-5
5-mark Questions
1. List the advantages of ICs
2. Classify Integrated circuits based on scale of integration
3. List the classification of ICs by structure
4. Define SSI, MSI,LSI and VLSI
5. Compare ICs with discrete components
10-mark Questions
1. Describe the steps in fabricating monolithic ICs with diagrams
2. Describe the fabrication of capacitor and diode with diagrams
3. List the advantagesand disadvantages of ICs
Directorate Of Technical EducationKarnataka State
15SC02M
Page 38
UNIT-6
5-mark Questions
1. Explain the terms Photo emissive, Photoconductive and photovoltaic effect
2. Write theadvantages of Opto-couplers
3. Write a short note on solar cell
4. List the applications and advantages of LED
5. List the applications of phototransistor and photo diodes.
10-mark Questions
1. Describe the construction and operation of LED
2. List the features of LASER and MASER.
End
Directorate Of Technical EducationKarnataka State
15SC02M
Page 39
Government of Karnataka
Department of Technical Education
Board of Technical Examinations, Bengaluru
Course Title :SEMICONDUCTOR DEVICES LAB
Course Code
: 15EC22P
Credits
Teaching Scheme in Hr. (L:T:P)
Type of course
CIE
Semester
Course Group
Total Contact Hours
SEE
:2
: Core
: 78
: 50 Marks
: 3 Credits
: 0:2:4
: Tutorial + Practical
: 25 Marks
Prerequisites
Basic Knowledge of electronic components and devices theory
Course Objectives
Evaluate the operational characteristics of semiconductor devices
Course Outcomes
On successful completion of the course, the students will be able to
1. Identify various semiconductor devices.
2. Interpret the characteristics of semiconductor devices.
3. Apply the basic knowledge semiconductor devices for basic switching applications.
4. Select a right semiconductor device for a given application.
5. Observe and validate the functioning under simulated environment.
Course Contents
UNIT – I: Tutorials and Graded ExercisesDuration: 69Hr.
Sl.
Duration
Topic/Exercises
No.
(Hr.)
1. Familiarization of precautions to be taken while using instruments like
3
multimeter, ammeter, voltmeter, signal generator, CRO, Regulated power
supply etc.
2 Identification of semiconductor devices and their leads like transistor, FET,
3
DIAC, TRIAC, diode, UJT, SCR etc.
3 Testing of devices(diode, transistoretc) using multimeter
3
4
Familiarization of any simulation software (preferably open source)
3
5
3
6
Determination of knee voltage and forward dynamic resistance of a junction
diode
Determination of the Reverse Characteristic curve of Zener diode
7
Demonstration of Zener diode as a voltage regulator
3
8
Determination of the input characteristics of BJT in CE configuration.
3
9
Determination of the output
configurationandcalculation of ‘β’.
characteristics
Directorate Of Technical EducationKarnataka State
of
15SC02M
BJT
in
CE
3
3
Page 40
10
Determination of the input characteristics of BJT in CB configuration.
3
11
3
12
Determination of the output characteristics of BJT in CB configuration and
calculation of ‘α’.
Determination of the reverse characteristics of a Photodiode.
13
Determination of the output characteristics of Photo Transistor.
3
14
3
15
Determination of the Transfer characteristics of enhancement MOSFET and
determine threshold voltage
Demonstration of BJT as a switch to control LED
16
Demonstration of MOSFET as a switch to control LED
3
17
Determination of the V-I Characteristics of UJT.
3
18
Determination of the V-I Characteristics of SCR.
3
19
Determination of the V-I Characteristics of DIAC
3
20
Determination of the V-I Characteristics of TRIAC
3
21
One open-ended experiment of similar nature and magnitude of the above
3
Two internal assessment
6
3
3
Total
UNIT – II: Project Activities [CIE- 05 Marks]
Sl.
No.
1
69
Duration: 9Hr.
Activity
Duration
(Hr.)
Collectspecificationandpreparecharts
displaying
symbols
of
semiconductor devices (At least 10 devices and at least 10 variants in
each category).
4
Open-ended activity like
(i) Obtain characteristics of a diode under simulated environment and
determine knee voltage, forward and reverse dynamic resistance and
5
PIV.
(ii) Create a circuit to blink two LEDs alternatively with a noticeable
delay.
(iii) Any other such activities that can contribute for the student’s
knowledge in respect of this course.
Execution Mode
1. Maximum of 4 students in each batch for project activity.
2. Project activity 1 and 2 are mandatory for every batch.
3. Project activities shall be carried out throughout the semester and present the project
report at the end of the semester.
4. Report size shall be qualitative and not to exceed 10 pages; one report per batch.
5. Each of the activity can be carried out off-class; however,
demonstration/presentation should be done during laboratory sessions.
6. Assessment shall be made based on quality of activity, presentation/demonstration
and report.
2
References
Directorate Of Technical EducationKarnataka State
15SC02M
Page 41
1.
2.
3.
Electronics laboratory primer, S. Poorna Chandra, B.Sasikala, S. Chand
Technical Publication. ISBN 81-219-2459-6
Fundamentals of Electronic Devices and Circuits Laboratory Manual ,David A.
Bell Oxford University Press, ISBN 978-0-19-542988-6
Electronic Devices,Thomas L Floyd,ISBN10: 8177586432
Course Delivery
The course will be delivered through tutorials of two hours and four hours of hands on
practice per week
Mapping Course Outcomes with Program Outcomes
Course
outcomes
1
1
2
3
S
S
2
S
S
3
S
S
4
S
S
S
S
5
S
S
M
M
Legends-S: Strong Relationship
S
Programme Outcomes
5
6
7
8
9
4
M
10
11
S
12
M
S
S
S
S
S
S
S
M
M: Moderate Relationship.
Course Assessment and Evaluation Scheme
Method
What
To
whom
When/Where Max
(Frequency Marks
Directorate Of Technical EducationKarnataka State
15SC02M
Evidence
collected
Course
outcomes
Page 42
IA
Tests
Students
DIRECT ASSESSMENT
CIE
(Continuous
Internal
Evaluation)
in the course)
Two IA Tests
(Average of
two tests will
be computed)
Record
Writing(Aver
age of Marks
allotted for
each
experiment)
Mini Project
SEE
(Semester
End
End
Exam
Examination)
10
Blue books
1 to 4
10
Record Book
1 to 4
05
Report and
Model
1 to 5
Answer
scripts at
BTE
1 to 4
TOTAL
25
End of the
course
50
1 to 4,
Delivery of
course
1 to 4,
Effectiveness
of Delivery
End of Course
End of the
Questionnair
of
Survey
course
es
instructions
&
Assessment
Methods
Note: IA test shall be conducted as per SEE scheme of valuation. However the obtained
marks shall be reduced to 10 marks. Note: Any decimals shall be rounded-off to next higher
digit.
Middle of the
course
Feedback
forms
Students
INDIRECT
ASSESSMENT
Student Feedback on
course
Composition of Educational Components
Questions for CIE and SEE will be designed to evaluate the various educational components
such as shown in the following table.
Sl.
Weightage
Component
No.
(%)
Remembering and Understanding
40
1
Applying the knowledge acquired from the course
40
2
Analysis
10
3
Evaluation
05
4
Creating new knowledge
05
5
Scheme of Evaluation for End-exam
Sl.
No.
Max.
Marks
Scheme
Directorate Of Technical EducationKarnataka State
15SC02M
Page 43
1
2
3
4
5
Identification of semiconductor and their pins/ Testing of
device functionalityetc.
Writing circuit diagram and procedure of one experiment
Conduction
Result
Viva-voce
TOTAL
05
10
20
05
10
50
Note:
1. Candidate shall submit Lab record for the examination.
2. Student shall be allowed to conduct directly even if she/he is unable to
write the procedure.
Laboratory Resource Requirements
Hardware Requirements:For a batch of 20 students.
Sl.
No.
1
2
3
4
5
6
7
8
9
10
11
12
Equipment
Quantity
Dual Channel 0-30V at 2/1A RPS with short circuit
protection
0-30V at 2/1A RPS with short circuit protection
Function Generator (0-10MHz)
Dual Trace Oscilloscope (=>20MHz).
Digital multimeters
Analog multimeters
Decade resistance boxes
Decade capacitance boxes
Decade inductance boxes
LCR meter
Electronic components –resistors,inductors,capacitors,
transformers, hookup wires ,SCR,MOSFET,
DIAC,TRIAC,BJT, Photo transistor, Photo diode, JFET,
diode, Zener diode, soldering leadetc
Bread boards, Soldering Gun, Tag Board, 9V battery cells,
Bulbs.
10
10
10
10
20
10
10
10
10
05
L/S
L/S
Model Questions for Practice and Semester End Examination
Course Title : SEMICONDUCTOR DEVICES LAB
Course Code
: 15EC22P
Note: The questions are indicative but not exhaustive.
Directorate Of Technical EducationKarnataka State
15SC02M
Page 44
1.
2.
3.
4.
5.
6.
Determinetheknee voltage and forward dynamic resistance of a given junction diode.
Experimentallydetermine the forward characteristics of a junction diode.
Determine the reverse Characteristics of a given Zener diode
Demonstrate how a Zener diode regulates voltage.
Determine the input characteristics of a given NPN transistor in CE configuration.
Demonstrate the method of determining output characteristics of a BJT in
CEconfigurationand determination of ‘β’.
7. Determine the output characteristics of a given BJT in CB configuration
8. Determine ‘α’ of a given transistor with the help of an experiment
9. Determine ‘β’of agiven transistor in with the help of an experiment.
10. Determine the reverse characteristics of a given Photodiode.
11. Determine the output characteristics ofagiven Photo Transistor.
12. Determine thetransfer characteristics of a given MOSFETandits threshold voltage.
13. Demonstrate the use of BJT as a switch to control LED.
14. Show how anLED can be controlled using BJT.
15. Conduct an experiment to control the LED using MOSFET.
16. Sketch the V-I characteristics of a given UJT with the help of an experiment.
17. Show how gate current influences forward break over voltage of an SCR
18. Determine peak point and valley point voltages of a given UJT with the help of an
experiment
19. Determine the V-I Characteristics of a given DIAC.
20. Determine the V-I Characteristics of a given TRIAC
End
Directorate Of Technical EducationKarnataka State
15SC02M
Page 45
Government of Karnataka
Department of Technical Education
Board of Technical Examinations, Bengaluru
Course Title : DIGITAL ELECTRONICS LAB – I
Course Code
: 15EC23P
Semester
Teaching Scheme in Hr. (L:T:P)
Type of course
CIE
Course Group
Credits
Total Contact Hours
SEE
: Core
:3
: 78
: 50 Marks
: II
: 0:2:4
: Tutorial + Practical
: 25 Marks
Prerequisites
Knowledge of basic electrical and electronics engineering in Semester-I.
Course Objectives
Learn and understand the basics of digital electronics, Boolean algebra, and able to design
the simple logic circuits and test/verify the functionality of the logic circuits.
Course Outcomes
At the end of the course, the students will be able to
1. Distinguish between analog and digital systems.
2. Identify the various digital ICs and understand their operation.
3. Apply Boolean laws and K-map to simplify the digital circuits.
4. Understand the function of elementary digital circuits under real and simulated
environment.
5. Prepare a report on basics of digital electronics and handling of ICs.
Course Contents
UNIT – I: Tutorial and Practice
63Hr.
Sl.
No.
1
2
3
Duration:
Duration
(Hr.)
Topic/Exercises
a) Discuss the concept of digital electronics.
b) Binary systems and logic levels, TTL digital ICs, digital IC signal levels and
IC numbering.
c) Identify the different parts of the digital trainer kit, precautions to be
followed in handling ICs, learn to identify the pins, fix the ICs and measure
the voltage levels on the kit.
Explain need of logic gates, logic function, truth table, pin diagram, identify the
logic gates using standard and IEEE/ANSI symbols for the NOT, 2-input OR,
AND gates and observe the output.
Explain logic function, truth table, pin diagram, identify the logic gates using
standard and IEEE/ANSI symbols for the NOR, NAND and EX-OR gates and
observe the output.
Directorate Of Technical EducationKarnataka State
15SC02M
6
3
3
Page 46
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
State De Morgan's theorems and construct the simple circuits to observe their
validity.
State and describe the Boolean identities and laws. Show the verification of
commutative, associative and distributive Boolean laws using suitable logic gates.
Discuss the universality of NAND gates. Construct NOT, OR, AND, NOR, EXOR and EX-NOR gates using NAND gates and show the output.
Discuss the universality of NOR gates. Construct NOT, OR, AND, NOR, EXOR and EX-NOR gates using NOR gates and show the output.
Solve the given Boolean equations using Boolean laws and deduce the truth
table and circuit for the reduced equation and show the output.
̿̿̿̿̿̿
̅̅̅̅̅̅̅̅̅
̅̅̅̅̅̅̅ c) 𝐴̅𝐵̅ 𝐶̅ + 𝐴̅𝐵 𝐶̅ +A𝐵̅ 𝐶̅ + AB𝐶̅ .
a) 𝐴 + 𝐵 b)𝐴𝐵𝐶
Explain K-map for three and four variables, identification of pairs, quads and
octets and solving sum-of-products equations. Reduce a) 𝐴̅ 𝐵̅ 𝐶 +
̅ + 𝐴𝐵𝐶̅ 𝐷 + 𝐴𝐵𝐶𝐷 + 𝐴𝐵𝐶𝐷
̅ + 𝐴̅ 𝐵𝐶𝐷 + 𝐴̅ 𝐵𝐶𝐷
̅
𝐴̅𝐵𝐶̅ +A𝐵̅ 𝐶̅+A𝐵̅ 𝐶. b) 𝐴𝐵𝐶̅ 𝐷
and construct the circuit and show the output
Discuss binary number system, convert decimal to binary number system and
vice versa, give examples to add binary numbers. Construct a truth table to add
two bits showing the sum and carry results and implement the resulting halfadder using suitable logic gates.
Construct a truth table to add two bits along with a possible carry out showing
the sum and carry results. Write sum-of-products equation for the output, reduce
using K-map and implement the resulting full-adder using suitable logic gates.
Discuss binary subtraction. Write the truth-table for full-subtractor. Write sumof- products equation for the output, reduce using K-map and implement using
suitable logic gates.
Understand ones and two’s complement arithmetic of binary numbers and their
role in binary arithmetics with examples. Construct the circuit to implement the
subtraction and addition of two 4-bit data using IC 7483 using two’s
complement method (use IC 7483 and IC 7486) and show the output.
3
3
3
3
3
3
3
3
3
3
Discuss Gray and BCD codes. Develop Binary-to-Gray code converter using IC
7486 and verify the output.
3
Develop Gray-to-binary code converter using IC 7486 and verify the output.
Define a parity bit. Discuss even parity and odd parity bit and its importance in
communication. Develop a parity generator and checker using IC 7486.
Discuss the importance of comparator. Verify the truth table of 2-bit magnitude
comparator using IC 7485.
Discuss the significance of enable/disable circuits. Demonstrate an
enable/disable circuit using AND/OR, NAND/NOR gates.
Two internal Assessment Test
3
Total
63
UNIT – II: Project Activities [CIE- 05 Marks]
Hr.
Directorate Of Technical EducationKarnataka State
3
3
3
6
Duration: 15
15SC02M
Page 47
Sl.
No.
1
Duration
(Hr.)
Activity
Collect the information about any three digital systems and highlight the
3
difference between analog and digital systems.
Write a chart to represent decimal numbers from 0 to 50 in binary, octal
2
3
and hexadecimal number systems.
Collect the information on signed and unsigned binary numbers. Prepare
3
a chart to represent the decimal numbers from -20 to +20 in 8-bit format
3
in signed and singned-magnitude representation.
Perform binary multiplication and division with examples.
4
3
List
the
features
of
BCD,
ASCII
excess-3
codes
with
examples.
5
3
Open-ended activity like
6
(iv) Simulate a realistic digital circuit containing at least six logic
gates.
(v)Collect the catalogues and specification sheets or a chart
displaying various logic ICs (At least 10).
(vi) Record the best practices used in the disposal of e-waste and
precautions in the operation of digital systems.
(vii)
Any other such activities that can contribute for the
student’s knowledge in respect of this course.
Execution Mode
7. Maximum of 2 students in each batch for project activity.
8. Project activity 1 to 5 compulsory (handwritten) and 6 are mandatory for every
batch.
9. Project activities shall be carried out throughout the semester and present the project
report at the end of the semester.
10. Write qualitative report not exceeding 10 pages; one report per batch.
11. Each of the activity can be carried out off-class; however,
demonstration/presentation should be done during laboratory sessions.
12. Assessment shall be made based on quality of activity, presentation/demonstration
and report.
References
1. Digital Principles and Applications, Donald P Leach, Albert Paul Malvino, Goutam
Saha, McGraw-Hill publications.
2. Digital Systems Principles and Applications, Ronald J. Tocci, Neal S Widmer,
Gregory L. Moss. Pearson Publication.
3. http://www.vlab.co.in/
4. http://www.asic-world.com/
5. http://www.vlab.co.in/
6. http://electrical4u.com/
7. http://www.electronics-tutorials
Course Delivery
Directorate Of Technical EducationKarnataka State
15SC02M
Page 48
The course will be delivered through two-hour tutorials and four-hour hands-on practice per
week
Mapping Course Outcomes with Program Outcomes
Course
outcomes
1
2
3
4
5
1
S
S
S
S
S
2
S
S
S
Legends-S: Strong Relationship
3
S
S
S
S
S
Programme Outcomes
5
6
7
8
9
M
M
M
M
4
S
S
S
S
M
S
S
M
S
M
S
S
10
S
11
S
M
12
S
M
S
M
M
M: Moderate Relationship.
Course Assessment and Evaluation Scheme
What
CIE
(Continuous
Internal
Evaluation)
IA
Tests
Students
DIRECT ASSESSMENT
Method
To
whom
SEE
(Semester
End
End
Exam
Examination)
When/Where
Max
Evidence
(Frequency
Marks
collected
in the course)
Two IA Tests
(Average of
10
Blue books
two tests will
be computed)
Record
Writing
(Average of
10
Record Book
Marks allotted
for each
experiment)
Report/
Mini Project
05
Model
25
TOTAL
End of the
course
50
Answer
scripts at
BTE
Course
outcomes
1 to 4
1 to 4
1 to 4,5
1 to 4
1 to 4,
Delivery of
course
1 to 4,
Effectiveness
of Delivery
End of Course
End of the
Questionnair
of
Survey
course
es
instructions
&
Assessment
Methods
Note: I.A. test shall be conducted as per SEE scheme of valuation. However the obtained marks
shall be reduced to 10 marks. (Any decimals shall be rounded off to next higher digit).
Middle of the
course
Feedback
forms
Students
INDIRECT
ASSESSMENT
Student Feedback on
course
Directorate Of Technical EducationKarnataka State
15SC02M
Page 49
Composition of Educational Components
Questions for CIE and SEE will be designed to evaluate the various educational components
such as shown in the following table.
Sl.
No.
1
2
3
4
5
Component
Remembering and Understanding
Applying the knowledge acquired from the course
Analysis
Evaluation
Creating new knowledge
Weightage
(%)
15
50
15
10
10
Scheme of Evaluation for Semester End Exam
Sl.
No.
1
2
3
4
5
Max.
Marks
10
10
15
05
10
50
Scheme
Write-up for theory questions
Writing circuit and procedure of one experiment
Conduction
Result
Viva-voce
TOTAL
Note:
3. Candidate shall submit Lab record for the examination.
4. Student should be allowed to conduct directly even if she/he is unable to
write the procedure.
Laboratory Resource Requirements
Hardware Requirement: For a batch of 20 students
Sl.
No.
1
2
3
4
5
6
7
Equipment
Quantity
Digital trainers
Dual trace oscilloscope.
Digital multimeters
ICS-7400,7402,7404,7408,7432,7486,7483,7485,7427
Patch cards( different lengths)
Digital IC Tester
Logic Pulser
15
05
05
10 each
250
02
02
Model Questions for Practice and Semester End Examination
Directorate Of Technical EducationKarnataka State
15SC02M
Page 50
Course Title : DIGITAL ELECTRONICS LAB – I
Course Code
: 15EC23P
Note: The questions in the question bank are indicative but not exhaustive.
1. Write Truth table and show the outputs of 2-input OR, AND, NOR gates using
suitable TTL ICs.
2. Write the truth table and show the outputs of NOT gate, 2-input NAND, EX-OR gates
using suitable TTL ICs.
3. Construct the circuit to verify De-Morgan's theorems and show the results.
4. Construct the circuit to show that NAND gate is equivalent to bubbled OR- gate.
5. Construct the circuit to show that NOR gate is equivalent to bubbled AND- gate.
6. Construct the circuit to verify the equation ̅̅̅̅̅̅̅̅
𝐴 + 𝐵 = 𝐴̅𝐵̅
7. Construct the circuit to demonstrate commutative, associative Boolean laws using
suitable logic gates.
8. Construct the circuit to demonstrate commutative and distributive Boolean laws using
suitable logic gates.
9. Construct the circuit to demonstrate associative and distributive Boolean laws using
suitable logic gates.
10. Construct NOT, OR, AND gates using NAND gates and show the verification of the
truth table.
11. Construct NOT, AND, NOR gates using NAND gates and show the verification of the
truth table.
12. Construct NOT and EX-OR gates using NAND gates and show the verification of the
truth table.
13. Construct AND and EX-NOR gates using NAND gates and show the verification of
the truth table.
14. Construct NOT, OR, AND gates using NOR gates and show the verification of the
truth table.
15. Construct NOT, AND, NAND gates using NOR gates and show the verification of the
truth table.
16. Construct NOT and EX-OR gates using NOR gates and show the verification of the
truth table.
17. Construct OR and EX-NOR gates using NOR gates and show the verification of the
truth table.
18. Construct using suitable gates to show the verification of AB+A𝐵̅ =A
19. Construct using suitable gates to show the verification of A+𝐴̅ B=A+B.
20. Construct using suitable gates to show the verification of A+𝐴̅ = 1.
21. Construct using suitable gates to show the verification of A.𝐴̅ =0
22. Solve the given Boolean equations using Boolean laws and deduce the truth table and
̿̿̿̿̿̿
̅̅̅̅̅̅̅ .
circuit for the reduced equation and show the output. a) ̅̅̅̅̅̅̅̅̅
𝐴 + 𝐵 b)𝐴𝐵𝐶
23. Solve the given Boolean equations using Boolean laws and deduce the truth table and
circuit for the reduced equation and show the output of 𝐴̅𝐵̅ 𝐶̅ + 𝐴̅𝐵𝐶̅ +A𝐵̅ 𝐶̅+ AB𝐶̅ .
24. Solve the given Boolean equations using Boolean laws and deduce the truth table and
circuit for the reduced equation and show the output of 𝐴̅𝐵̅ 𝐶̅ + 𝐴̅𝐵𝐶̅ +A𝐵̅ 𝐶̅ .
25. Solve the given Boolean equations using Boolean laws and deduce the truth table and
circuit for the reduced equation and show the output of 𝐴̅𝐵̅ 𝐶̅ + 𝐴̅𝐵𝐶̅ + AB𝐶̅ .
26. Reduce a) 𝐴̅ 𝐵̅ 𝐶 + 𝐴̅𝐵𝐶̅ +A𝐵̅ 𝐶̅+ A𝐵̅ 𝐶
using K-Map and construct the circuit and
show the output.
Directorate Of Technical EducationKarnataka State
15SC02M
Page 51
̅ + 𝐴𝐵𝐶̅ 𝐷 + 𝐴𝐵𝐶𝐷 + 𝐴𝐵𝐶𝐷
̅ + 𝐴̅ 𝐵𝐶𝐷 + 𝐴̅ 𝐵𝐶𝐷
̅+
27. Reduce using K-map b) 𝐴𝐵𝐶̅ 𝐷
̅
̅
𝐴 𝐵𝐶 𝐷 and construct the circuit and show the output.
̅ + 𝐴𝐵𝐶̅ 𝐷 + 𝐴𝐵𝐶𝐷 + 𝐴𝐵𝐶𝐷
̅ + 𝐴̅ 𝐵𝐶𝐷 + 𝐴̅ 𝐵𝐶𝐷
̅
28. Reduce using K-map b) 𝐴𝐵𝐶̅ 𝐷
and construct the circuit and show the output.
29. Reduce F(A,B,C)=∑m(0,1,5) using K-map and construct the circuit for the reduced
equation and show the output.
30. Reduce F(A,B,C)=∑m(0,2,4,6) using K-map and construct the circuit for the reduced
equation and show the output.
31. Reduce F(A,B,C,D)=∑m(0,1,4,5,9,13) using K-map and construct the circuit for the
reduced equation and show the output.
32. Reduce F(A,B,C,D)=∑m(0,1,4,5,9,13) + d(3,7,11,15) using K-map and construct the
circuit for the reduced equation and show the output.
33. Describe half adder circuits and write truth table, sum of products equation and
implement using suitable logic gates.
34. Describe full adder circuits and write truth table, sum of products equation, reduce
using K-map and implement using suitable logic gates.
35. Construct an adder circuit to add two bits with a possible carry from a lower column
and write the truth table, sum of products equation, reduce using K-map and
implement using suitable logic gates.
36. Construct a truth table to subtract two bits along with a possible borrow showing the
difference and borrow results, write sum of products equation, reduce using K-map
and implement the resulting full subtractor using suitable logic gates.
37. Illustrate the operation of IC 7483 for four bit binary addition.
38. Connect the circuit to implement the subtraction of two 4-bit data using IC 7483 using
two’s complement method.(use IC 7483 and IC 7486.) and show the output.
39. Develop Binary to Gray code converter using IC 7486 and verify the output.
40. Develop Gray to binary code converter using IC 7486 and verify the output.
41. Develop a 4-bit parity generator and checker using IC 7486.
42. Verify the truth table of 2-bit magnitude comparator using IC 7485.
43. Demonstrate an Enable/disable circuit using AND gates.
44. Demonstrate an Enable/disable circuit using OR gates.
45. Demonstrate an Enable/disable circuit using NAND gates.
46. Demonstrate an Enable/disable circuit using NOR gates.
End
Directorate Of Technical EducationKarnataka State
15SC02M
Page 52
Government of Karnataka
Department of Technical Education
Board of Technical Examinations, Bengaluru
Course Title: MATHEMATICAL SIMULATION
LAB
Semester
: II
Teaching Scheme in Hr (L:T:P) : 0:2:4
Type of course
: Tutorial + Practical
CIE
: 25 Marks
Course Code
: 15EC24P
Course Group
Credits
Total Contact Hours
SEE
: Core
:3
: 78
: 50 Marks
Prerequisites
1. Familiarity and working knowledge of personal computer.
2. Elementary knowledge of computer programming and basic understanding of
matrices, linear algebra, calculus, trigonometric functions and geometry.
Course Objectives
Familiarization of the syntax, semantics, data-types and library functions of numerical
computing languages such as MATLAB and/or SCILAB, and application of such
languages for implementation/simulation and visualization of basic mathematical
functions relevant to electronics applications.
Course Outcomes
On successful completion of the course, the students should be able to
1. Understand the need for simulation/implementation for the verification of
mathematical functions.
2. Understand the main features of the MATLAB/SCILAB program development
environment to enable their usage in the higher learning.
3. Implement simple mathematical functions/equations in numerical computing
environment such as MATLAB/SCILAB.
4. Interpret and visualize simple mathematical functions and operations thereon using
plots/display.
5. Analyze the program for correctness and determine/estimate/predict the output and
verify it under simulation environment using MATLAB/SCILAB tools.
Course Contents
UNIT – I: Tutorial and Practice
Hr.
Duration: 24
Demonstrate the following with reference to MATLAB/ SCILAB (either one or both)
environments.
Directorate Of Technical EducationKarnataka State
15SC02M
Page 53
Tutorial
Sl.
Duration
Topic/Exercises
No.
(Hr.)
1. Introduction
1. Definition, need, and types of programming languages and their
selection criterion.
2. Introduction to MATLAB/SCILAB (Features, capabilities and
applications) and development environment.
3. Program execution process.
4. Program format.
5. Concept and examples of built-in functions and the concept of
toolboxes.
6. Variables and constants: Definition, naming (identifiers or labels for
06
different entities), initialization and accessing of variables.
Constants and their representation.
7. Data types-classification, memory requirement, range of values,
usage and type specifiers.
8. Operators and Operands: Unary and binary operators. Arithmetic,
logical, relational, combinational-assignment and special operators.
Precedence and associativity. Unary and binary operands.
9. Statements-tokens and expressions.
10. Standard input and output statements and plot functions.
11. Escape characters.
2 Control structure
1. Branching: Conditional (if, if-else, nested and ladder if-else, switch
06
constructs) and unconditional (break, continue and goto statements).
2. Looping: Entry controlled (for and while).
3 Arrays/Matrices and strings
1. Definition, declaration, initialization (static and run-time or
dynamic) and arrays, matrices and strings.
06
2. Accessing of strings, array and matrices elements and relevant
operations.
4 Functions
1. Concept, advantages, classification, creation and application of
06
functions.
2. Comparison of built-in, library and user-defined functions.
Total Duration (Hr.)
24
Practice
1.
Write program for the following problems (Assume right units. Search and use
library functions wherever possible). Unless specified, built-in functions may be used
if necessary.
1. Display your country name.
2. Compute the area and circumference of a circle given the radius.
3. Compute simple interest given the interest rate, principal and duration.
4. Compute compound interest given the interest rate, principal, compoundingnature and duration.
5. Swap contents of two variables without using intermediate variables.
6. Factorial of a single digit number.
Directorate Of Technical EducationKarnataka State
15SC02M
Page 54
2
7. Absolute value of a number.
8. Largest of three numbers.
9. Logarithm of a number.
10. Y=sin(θ1+ θ2)+cos(θ1- θ2) given θ1 and θ2 in degrees.
11. Average of N numbers read through keyboard (at run-time).
12. Average of the numbers in 3x4 matrix.
13. Plot discharging voltage across capacitor.
Analyze the program
Given the program or block of program (Matlab or Scilab), analyze the program and
estimate/predict/record the output or error as the case may be. Instruct the student to
justify the answer/output.
[For e.g., A=246; B=-90; C=A+B*(10/A) +100; sprintf (‘%f’, C); in Matlab]
Such analysis should be carried out for all the concepts covered in this course.
UNIT – II: Graded Exercises
Hr.
Duration: 54
Write the algorithm/flow-chart and code for the following problems (Assume
appropriate data and units wherever necessary. Built-in functions can be used wherever
necessary unless specified).
Sl.
Topic/Exercises
No.
1 Addition, subtraction and multiplication of two matrices.
Verify whether the given matrix is singular or non-singular and compute its
2
inverse if applicable.
Sorting of 1-D array and searching of an array/matrix. Also, list the set of
3
numbers that obey a common condition in an array/matrix using find ( ).
Solve simultaneous equations (maximum of three) using Cramer’s rule.
4 [Simultaneous equations may be obtained by applying KCL or KVL for a
circuit and they can be solved for voltages or currents, respectively]
(a) Show that log10(A*B)=log10 A+ log10 B and log10(A/B)=log10 A-log10 B
5
(b) Plot the voltage across capacitor during charging Vc=V0[1-e-(t/RC)]
(a) Plot a straight line for the given slope and intercept using different plot
attributes.
6
(b) Differentiate and integrate y=mx+c, separately, and display the results
on the same plot.
Plot y1=A*sin(2πf1t), y2=B*cos(2πf2t) and y3=A*sin(2πf1t)+B*cos(2πf2t), in
7 time and frequency (after computing DFT or FFT) domains as subplots and
infer the results.
Integrate and differentiate sin(x) and display the results on the same plot in
8
different colors. Also display sin(x) on the same plot,
Validate
 f(x)  g(x)dx   f(x)dx   g(x)dx for given trigonometric
9
functions f(x) and g(x) visually/through plots.
Compute mean, median, standard deviation and variance of a set of data using
10
formulae and verify using built-in functions.
11 Find all the even and prime numbers between two numbers (range).
Directorate Of Technical EducationKarnataka State
15SC02M
Duration
(Hr.)
3
3
3
3
3
3
3
3
3
3
3
Page 55
12
13
14
15
Demonstrate (a) reading and display image, (b) converting color image to
gray and black-and-white and plotting their histograms, and (c) conversion of
image file formats.
Compare the results of the built-in and user-defined function to compute
cos(x) [the series cos(x)=1-(x2/2!)+ (x4/4!)- (x6/6!)+ … can be used]
Write a program to compute roots of a quadratic equation ax2+bx+c=0 given
a, b and c.
Two open-ended experiments of similar nature and magnitude of the above
are to be assigned by the teacher (Student is expected to solve and
execute/simulate independently).
Two Internal Assessment Tests
Total Duration (Hr.)
3
3
3
6
6
54
References
1. MATLAB and its Applications in Engineering, Rajkumar Bansal, Pearson Publishers,
ISBN-10: 8131716813, 2009.
2. SCILAB (a Free Software to Matlab), Er. Hema Ramachandran and Dr. Achutsankar
Nair, S. Chand Publishers, ISBN-10: 8121939704, 2011
3. http://in.mathworks.com/
4. https://www.scilab.org/resources/documentation/tutorials
Course Delivery
The course will be normally delivered through two-hour tutorials and four-hour hands-on
practice per week. In Unit-I, tutorials and practice are carried out concurrently. One-hour
tutorial followed by two-hour hands-on practice for each of the graded exercises is
recommended. However, graded exercise can also be covered at appropriate point of
tutorials of Unit-I.
Mapping Course Outcomes with Program Outcomes
Course
outcomes
1
2
3
4
5
1
2
3
S
S
S
S
S
S
S
S
S
S
S
S
S
S
4
Programme Outcomes
5
6
7
8
9
10
S
S
S
S
S
S
M
S
S
S
M
11
12
M
M
M
M
M
Legends-S: Strong Relationship M: Moderate Relationship.
Course Assessment and Evaluation Scheme
Method
What
To
When/Where
Directorate Of Technical EducationKarnataka State
Max
15SC02M
Evidence
Course
Page 56
CIE
(Continuous
Internal
Evaluation)
IA
Tests
Students
DIRECT ASSESSMENT
whom
SEE
(Semester
End
EndExam
Examination)
(Frequency Marks
collected
in the course)
Two IA Tests
(Average of
10
Blue books
two tests will
be computed)
Record
Writing
(Average of
10
Record Book
Marks allotted
for each
experiment)
Quiz
05
Quiz Sheet
25
TOTAL
End of the
course
50
Answer
scripts at
BTE
outcomes
1 to 4
1 to 4
1 to 4,5
1 to 4, 5
1 to 4,
Delivery of
course
1 to 4,
Effectiveness
of Delivery
End of Course
End of the
Questionnair
of
Survey
course
es
instructions
&
Assessment
Methods
Note: I.A. test shall be conducted as per SEE scheme of valuation. However the obtained
marks shall be reduced to 10 marks. (Any decimals shall be rounded off to next higher digit).
Middle of the
course
Feedback
forms
Students
INDIRECT
ASSESSMENT
Student Feedback on
course
Composition of Educational Components
Questions for CIE and SEE will be designed to evaluate the various educational components
such as shown in the following table.
Sl.
No.
1
2
3
4
5
Component
Remembering and Understanding
Applying the knowledge acquired from the course
Analysis
Evaluation
Creating new knowledge
Weightage
(%)
20
30
35
10
05
Scheme of Evaluation for Semester End Exam
Sl.
Scheme
Directorate Of Technical EducationKarnataka State
Max.
15SC02M
Page 57
No.
1
Marks
10
Short questions on Unit-I (only write-up)
Writing steps /Algorithm/Procedure and program for two
questions from the graded exercises.
Execution/Implementation/Simulation/Interpretation of
either one of the programs written in 2.
Open-ended problem (Problems not covered in Sl. No.
15 of graded exercise): Writing program and its
execution/implementation.
Viva-voce
TOTAL
2
3
4
5
15
15
05
05
50
Note:
5.Candidate shall submit laboratory record for the examination.
6.Student shall be allowed to execute the program even if she/he unable
to write the procedure/steps/algorithm.
7. Writing code, execution/implementation of an open-end problem of
the nature and magnitude specified in Unit-II.
Laboratory Resource Requirements
Hardware Requirement: For a batch of 20 students. Computers to students ratio in the
laboratory should be 1:1 for a batch of twenty students.
Sl.
No.
1
2
3
4
5
6
7
Equipment
Quantity
PC systems (latest configurations)
Laser Printers
Broad Band Connection
Modern Projector set-up
LAN Switch for Networking(LAN Switch for
Networking – 20 Computers)
UPS with Batteries(3 Hr Backup)
Air Conditioning System
20
01
01
01
01
01
01
Software Requirement: Linux / equivalent Operating System, SCILAB (open-source) or
MATLAB.
Model Questions for Semester End Examination
Course Title: MATHEMATICAL SIMULATION
LAB
Course Code
Directorate Of Technical EducationKarnataka State
15SC02M
: 15EC24P
Page 58
Write algorithm/flowchart/steps/procedure and programs to solve the following problems.
Execution/ implementation of the programs is under MATLAB or SCILAB environment. This
list is only indicative but not exhaustive.
1. Add, subtract and multiply two 3x3 matrices.
2. Verify if the given matrix is singular or non-singular. Find its inverse if
applicable.
3. Count number of fail students among N students given their total marks. Also
identify the student who has scored exactly 75% and list the students based on
their total-marks.
4. Solve the given three simultaneous equations using Cramer’s rule.
5. Plot the voltage across a charging capacitor in an RC circuit. Also demonstrate
that log10(A*B)=log10A+log10B.
6. Convert a vector in rectangular form to polar form and vice-versa.
7. Plot a straight line for the given slope m and intercept C using different line
attributes. Integrate and differentiate the line and plot the results on the same
plot.
8. Plot y1=A*sin(2πf1t), y2=B*cos(2πf2t) and y3=A*sin(2πf1t)+B*cos(2πf2t), in
time and frequency (after computing DFT or FFT) domains as subplots.
9. Validate
 f(x)  g(x)dx   f(x)dx   g(x)dx for given trigonometric
functions f(x) and g(x) visually/through plots.
10. Compute mean, median, standard deviation and variance of a set of data such
as ages or total marks of 25 students using formulae and verify using built-in
functions.
11. Find all the odd and prime numbers between two numbers (range) 3 and 200.
12. Demonstrate (a) reading and display of image of a color image, (b) converting
color image to gray and black-and-white and plotting their histograms, and (c)
conversion of image file formats from bmp to jpg and tiff.
13. Compare the results of the built-in function and user-defined function used to
compute cos(x).
14. Write a program to compute roots of a quadratic equation ax2+bx+c=0 given
a, b and c.
15. Two open-ended experiments of similar to the above are to be assigned by the
teacher (Student is expected to solve and execute/simulate independently).
For example,
i.
Find the factorial of a number using while loop
ii.
Plot the forward characteristics of a PN junction diode
End
Directorate Of Technical EducationKarnataka State
15SC02M
Page 59