Diploma in Vedik mathematics - Kavikulaguru Kalidas Sanskrit

Jyotish syllabus 2014-15
Kavikulaguru Kalidas Sanskrit University
University established by State Government of Maharashtra and UGC Recognized u/s 2f and 12B
Ramtek Office : Administrative Building, Mauda Road, Ramtek - 441106, Dist.Nagpur
Nagpur Office : 05th Floor, NIT Commercial Complex, Near Morebhavan, Sitabuldi, Nagpur 44001
Diploma in Vedic Mathematics
Course Curriculam (Syllabus)
Approved by the Academic Council Meeting No. 01/2013, Item no. 14, Dt. 01.06.2013
(Onwards 2014-2015)
Name of the Course
Name of the Faculty
Examination Type
Course Duration
Eligibility
Medium
Year
Six Monthly
Eligibility
Diploma Course in Vedic Mathematics
Faculty of Ancient Indian Sciences and Humanities
Annual
One Year
HSSC with Mathematics as one of the subject or
passed certificate course in Vedic mathematics.
Sanskrit, Marathi, Hindi, English.
Internal
Max Passing
Theory
Max Passing
60
240
21
84
Max
0
Other
Passing
0
Max
300
Total
Passing
105
Credits
--
Remarks
--
Curriculam Charges : (NET copy Rs.30/-)
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Jyotish syllabus 2014-15
Academic Course Structure
Name of the Course
Name of the Faculty
Examination Type
Course Duration
Total Credits
Eligibility
Diploma Course in in Vedic Mathematics
Faculty of Ancient Indian Sciences and Humanities
Annual
One Year
NOT APPLICABLE
HSSC with mathematics as one of the subject or
passed Certificate course in Vedic Mathematics.
Internal
Theory
Other
(Pr/Desr /Viva/Oral/
Test/Sessional etc.)
Paper Code
(in case of joint
passing)
Paper Tital
B
A
C
Max
Passing
Max
Passing
20
7
80
BHARTIYA
BEEJ
GANITAM
20
7
BHARTIYA
REKHA
GANITAM
20
Final Total
60
BHARTIYA
ANKA
GANITAM
Subject Total
Max
A+B+C
Passing
No.
Credits
(if Credit
System is
applicable)
Max
Passing
28
100
35
N.A
80
28
100
35
N.A
7
80
28
100
35
N.A
21
240
84
300
105
2
Jyotish syllabus 2014-15
Internal Assessment - 20% for each course.
Sr.No.
Particulars
20 Marks
Marks
1
Periodical class tests
10 Marks
2
Seminar / Objective Test / Assignments
05 Marks
3
Active participation in the class Interaction, overall conduct.
05 Marks
3
Jyotish syllabus 2014-15
Syllabus for Diploma in Vedic Mathematics
Paper I
Paper II
Paper III
PAPER I-
-
BHARTIYA ANKA GANITAM (ARITHMETIC)
BHARTIYA BEEJ GANITAM (Algebra)
BHARTIYA REKHA GANITAM (Geometry)
BHARTIYA ANKA GANITAM (ARITHMETIC)
80 marks
UNIT -I
Vinculum Number, Introduction,
Conversion & applications, Indices, Meru Prastar,
Cube and higher Powers, Cube root of unity.
20 marks
UNIT -II
Recurring decimals, Number systems
Conversion of bases, Numerical codes.
20 marks
UNIT-III
Tests of Divisibility Division and Euclidean
Algorithms, GCD & LCM, congruence relations,
Modular Arithmetic.
20 marks
UNIT-IV
Contributions of Indian mathematicians in Arithmetic only.
20 marks
Of the following.
Aryabhata, Brahmagupta, Mahaviracharya, Shrinivas Ramanujan.
UNIT-V
Internal Assessment
20 marks
4
Jyotish syllabus 2014-15
Diploma Course in Vedic Mathematics
Paper I
Paper II
Paper III
-
BHARTIYA ANKA GANITAM (ARITHMETIC)
BHARTIYA BEEJ GANITAM
BHARTIYA REKHA GANITAM ( GEOMETRY)
PAPER- II
-
BHARTIYA BEEJ GANITAM
UNIT – I
Factorization of cubic & biquadratic
Polynomials, relation between the roots &
Coefficients of polynomial Equations, Logarithmic series,
Remainder theorem.
20 marks
UNIT – II
Determinants & matrices of third order,
matrix equations, Inverse of a matrix
20 marks
UNIT – III
Complex Number, Cartesian and polar
Forms, Geometric representation of equation in
Complex number.
20 marks
UNIT – IV
Contributors of Indian mathematicians in Algebra only.
Of the following.
Varahmihir, Bhaskaracharya, ¼12th century½ Nilkantha Somaiya,
20 marks
80 MARKS
Mahaviracharya
UNIT-V
Internal Assessment
20 marks
----------------------------------------------------------------------------------------------------------------
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Jyotish syllabus 2014-15
Diploma Course in Vedic Mathematics
Paper I
-
BHARTIYA ANKA GANITAM (ARITHMETIC)
Paper II
-
BHARTIYA BEEJ GANITAM
Paper III
-
BHARTIYA REKHA GANITAM ( GEOMETRY)
PAPER III -
BHARTIYA REKHA GANITAM ( GEOMETRY)
80 MARKS
UNIT – I
Bodhayan Geometry, Triplet of an angle,
Trigometry- Identities, Inverse functions
Heights & Distances. Solution to trigonometric
Equations. Solutions of triangles’
20 marks
UNIT – II
Coordinate Geometry : circle, properties of Parabola, Ellipse &
Hyperbola (without proof elementary Problems, Tangents)
20 marks
UNIT – III
(i) Derivatives of sum and product
Madhav- Taylor & Madhav Maclaurine series,
20 marks
(ii) Integration : substitution method, integration by
Parts, standard forms. Definite integrals
UNIT – IV
Contributors of Indian mathematicians in the field of
20 marks
Geometry only of the following.
Madhavan, Nilkantha Somaiya, Parameshwaran, Brahmagupta ,Bhaskaracharya
¼12th century½
UNIT-V
Internal Assessment
20 marks
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Jyotish syllabus 2014-15
REFERENCE BOOKS ON VEDIC MATHEMATICS
1½
Shri Bharti Krushnatirth shankaracharya : Vaidik Ganit
( Motilal Banarsidas Dehli.)
2½
Vaidik Ganiat Nirdeshika :
Vidyabharti , Lakhnow 2010
3½
V.G. Unkalkar:
Magical world of mathematics
4½
(Vandana Publication Banglore 2004)
Gorakh Prasad : Differential calculus -Pothishala Ltd. Allahabad.
5½
Gorakh Prasad : Integral calculus - Pothishala Ltd. Allahabad.
6½
Dr. Anant Vyawhare % Bhartiya Ganiti ( Nachiket pra.) ( Marathi)
7½
Dr. Anant Vyawhare % Bhartiya Ganithadnya ( Sharda Sanskrit
8½
Sansthan Varanashi 2010)
S. Parameshwaran : The Golden Age of Indian Mathematics
9½
( Swadeshi Science Movement, Kochi, Kerala)
John Stillwell : Maths & its History ( Springer Verlag)
10½
T.S. Bhanumurthy : A modern introduction to Ancient Indian
11½
K.P. Basu :
Mathematics.
Algebra ( K.P. Basu Publication, Kolkata)
12½
S. L.Loney : -
Trigonometry part I & II
13½
S. L. Loney :
(Deepa Publication, New Delhi)
Coordinate Geometry ( Macmillan Co. NewYork)
14½
V. G. Heroor : Jyotpatti ( Rajastan Sanskrit
Vidyapeeth Jaipuar.)
Shri D. Khadilkar : Katyayan shutwasutre ( Maharashtra Rajya s.
16½
Mandal pune)
P. Ganpatideo Shastri : Siddhant Shiromani ( Bhaskaracharya)
17½
Choukhamba pra.
Hall & Knight : Algebra.
18½
E. T. Bell : Development of Mathematics
(Dover publications N.Y. 1978)
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