Semester: 

2024-2025 Summer School

Instructor: 

Prof. Dr. Fahd Jarad
   e-mail: fahd@cankaya.edu.tr
   office: R-317
   office hours: Tuesday, 13:20-15:10 

 

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:

Tentative Course Schedule

Week 

Topic(s)

1

Sequences and Convergence
Infinite Series, Convergence Tests for Positive Series

2

Absolute and Conditional Convergence,Power Series
Taylor and Maclaurin Series 

3

Applications of Taylor and Maclaurin Series
The Binomial Theorem and Binomial Series, Vectors
The Cross Product in 3-Space

4

Planes and Lines
Polar Coordinates, Limits and Continuity in Higher Dimensions 

5

Partial Derivatives
Higher Order Derivatives
The Chain Rule, Extreme Values
Extreme Values of Functions Defined on Restricted Domains
Lagrange Multipliers

6

Double Integrals
Iteration of Double Integrals in Cartesian Coordinates, Double Integrals in Polar Coordinates

7

Triple Integrals in Rectangular Coordinates