ÇAĞ UNIVERSITY
FACULTY OF ARTS AND SCIENCES
Learning Outcomes of the
Course
Code
Course Title
Credit
ECTS
MAT 142
8
Calculus and Analytic Geometry II
5 (4-2)
Prerequisites
None
Language of Instruction
Mode of Delivery
Face to face
English
Type and Level of Course
Compulsory/1.Year/Spring Semester EQF- Level 6
Lecturers
Name(s)
Contacts
Lecture Hours
Office Hours
Course Coordinator Asst.Prof.Dr.Ayfer Kurt
Mn. 13-16 &
Wed. 9-12&Tu.16-17 [email protected]
Tu. 9-12
Others
Course Objective
The goal of the course is to familiarize the student with the conceptual as well as
computational aspects of integrals, sequences and series, thereby emphasizing the
difference between the 'integral' and the 'anti-derivative', 'finite' and 'infinite' sums-the latter
being a limit and not a sum-etc.
Relationship
Students who have completed the course successfully should
be able to
Net Effect
Prog. Output
5, 3
1
Be able to define derivative and integral
1, 5
3, 4, 3
2
Be able to discretize an integral by using Riemann Sum
1, 3, 5
4, 3
3
Be able to prove theorems introduced in the course
3, 12
5, 4
4
Be able to apply the theorems introduced in the course to solve
3, 1
problems
3, 5, 5
5
Be able to compute the derivative and integral of Real Valued
1,3, 5
Functions(RVF)
3, 5
6
Be able to analyze and construct the graph of RVF
1, 6
3, 5, 3
7
Be able to understand basic concepts of analytic geometry in
1, 6, 3
the plane and space
4, 4
8
Be able to understand later courses in advanced calculus and
1, 3
linear algebra.
Course Description: The course focus on (1) Volumes, (2)Integration techniques (3)Improper integrals
(4)Sequences, Series
Course Contents:( Weekly Lecture Plan )
Weeks
Topics
Preparation
Teaching Methods
1
Volumes by scilicing,volumes by shells
Textbook Ch.6
Lectures and presentations
2
Length of curves,Logaritmic and exponential
Textbook Ch.6
Lectures and presentations
functions revisited
3
Integration techniques: integration by parts
Textbook Ch.7
Lectures
4
Trigonometric
integrals,
trigonometric
Textbook Ch.7
Lectures
substitutions
5
Partial fractions
Textbook Ch. 7
Lectures
6
Other integration strategies and numerical
Textbook Ch.7
Lectures
integration
7
Improper integrals
Textbook Ch.7
Lectures
8
Recitation
Problem solutions
9
Midterm exam
10
Sequences,infinite series, The divergence
Textbook Ch.8
Lectures
and integral test.
11
The ratio,root and the comparision tests.
Textbook Ch.8
Lectures
12
Alternating series
Textbook Ch.8
Lectures
13
Properties of power series and Taylor series.
Textbook Ch.8
Lectures
14
Recitation
Problem solutions
REFERENCES
Textbook
Calculus Early Transendentals- William L.Briggs,Lyle Cochran
Recommended Reading
G.B. Thomas, F.R.Giordano, J.Hass, Calculus and Analytic Geometry, Addison Wesley
Publishing, 2004.
Activities
Midterm Exam
Quizzes
Homework
Effect of The Activities
Number
1
ASSESSMENT METHODS
Effect
40%
40%
Notes
Effect of The Final Exam
Contents
Hours in Classroom
Hours out Classroom
Homeworks
Quizzes
Midterm Exam
Final Exam
60%
ECTS TABLE
Number
14
14
2
1
Hours
6
6
Total
84
112
20
30
20
30
210
=246/30=8,2
8
Total
Total / 30
ECTS Credit
RECENT PERFORMANCE