Language of Instruction

English

Level of Course Unit

First Cycle

Department / Program

MATHEMATICS

Mode of Delivery

Face to Face

Type of Course Unit

Compulsory

Objectives of the Course

Calculus course is an introduction to the basic mathematical techniques that have been proved to be useful in analyzing problems in physics and engineering. Limit and derivative are among the topics which are taught in the course. This course supplies a strong background for mathematics students.

Course Content

Functions and their graphs, trigonometric and exponential functions, inverse functions, limit and continuity of a function of a single variable, introduction to derivative of a function, implicit differentiation and chain rule, the basic theorems of differential calculus: Intermediate Value, Extreme Value, and the Mean Value Theorems, applications of derivative: graph sketching and problems of extrema, related rate and optimization problems.

Course Methods and Techniques


Prerequisites and corequisities

None

Course Coordinator

None

Name of Lecturers

Associate Prof.Dr. ORHUN KARA Prof.Dr. OKTAY PASHAEV

Assistants

None

Work Placement(s)

No

Recommended or Required Reading
Resources

1. J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
2. Thomas G, M. Weir, J. Hass, Thomas’ Calculus. Early Transcendentals, Pearson Education, 2009 1) Thomas’ CALCULUS, Nth Editions, (N = 1,2,…,11)
2) Ayres F, Mendelson E, Schaum’s outline of Calculus, McGrawHill, 1990
3) Apostol T.M. Calculus and Linear Algebra, Wiley, 1967
4) Marsden J, Weinstein A. Calculus Unlimited, Benjamin,1981
5) Dunham W. The Calculus Gallery: Masterpieces from Newton to Lebesgue, 2004.
6) Silverman R.A. Essential Calculus and Analytic Geometry, Dover, 2003









