Semester: 

2023-2024 Spring

Instructors: 

Åžeyma BilazeroÄŸlu
   e-mail: sbilazeroglu@cankaya.edu.tr
   office: R-215
   office hours: Monday, 14:20-15:00 and Wednesday, 10:20-11:00

Ceylan Yalçın
   e-mail: cyalcin@cankaya.edu.tr
   office: R-202
   office hours: 

Course Description: 

Sequences, Infinite Series, Alternating Series, Power Series, Taylor and Maclaurin Series, Vectors, Lines and Planes in Space, Vector Valued Functions, Functions of Several Variables, Partial Derivatives, Directional Derivatives, Extreme Values, Lagrange Multipliers, Double Integrals, Triple Integrals.

Textbook: 

Calculus: A Complete Course, 7th. ed., R. A. Adams and  C. Essex, Pearson, 2010.

Reference Books: 

• Calculus, Early Transcendental Functions, 3rd. ed., R. Smith and R. Minton, McGraw-Hill, 2007.

• Thomas’ Calculus, 12th edition (Early Transcendentals), G. B. Thomas, Jr., M. D. Weir and J. Hass, Pearson, 2010.

Evaluation Criteria

Midterm: 

TBA (40%)

Final:

TBA (60%)

Grading Policy:

Course Grade        Coefficient         Score Range

AA                              4.00                 90-100

BA                              3.50                 85-89

BB                              3.00                 80-84

CB                              2.50                 70-79

CC                              2.00                 60-69

DC                             1.50                  50-59

DD                             1.00                  45-49

FD                              0.50                  35-44

FF                              0.00                  0-34

Tentative Course Schedule

Week 

Dates

Chapter(s) 

Topic(s)

1

19-25
Feb
2024

9.1
9.2

Sequences and Convergence
Infinite Series

2

26 Feb-3 March
2024

9.3

Convergence Tests for Positive Series

3

4-10
March 2024

9.4

Absolute and Conditional Convergence

4

11-17
March 2025

9.5
9.6

Power Series
Taylor and Maclaurin Series 

5

18-24
March 2026

9.7
9.8

Applications of Taylor and Maclaurin Series
The Binomial Theorem and Binomial Series

6

25-31
March 2026

10.2
10.3

Vectors
The Cross Product in 3-Space

7

1-7
April
2024

10.4
8.5

Planes and Lines
Polar Coordinates

MIDTERM EXAMINATION

8

8-14
April
2024

Ramadan Feast (No class at this week)

9

15-21
April
2024

12.2

Limits and Continuity in Higher Dimensions 

10

22-28
April
2024

12.3
12.4
12.5

Partial Derivatives
Higher Order Derivatives
The Chain Rule

11

29 Apr-
5 May
2024

12.7
12.8

Gradients and Directional Derivatives
Implicit Functions

12

6-12
May
2024

13.1
13.2
13.3

Extreme Values
Extreme Values of Functions Defined on Restricted Domains
Lagrange Multipliers

13

13-19
May
2024

14.1
14.2

Double Integrals
Iteration of Double Integrals in Cartesian Coordinates

14

20-26
May
2024

14.4

Double Integrals in Polar Coordinates

15

27-31
May
2024

14.5

Triple Integrals in Rectangular Coordinates 

FINAL EXAMINATION