At the end of this course, the students; 1) Know the basic mathematical concepts such as function, limit and derivative 2) Apply mathematical knowledge to business and economic problems 3) Understand and use the language of mathematics.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
No
COURSE DEFINITION
Sets of numbers, absolute value and inequalities; the concepts of function, limit and continuity; differentiation, increasing and decreasing functions, first and second derivative tests, extreme value problems, L Hospital's Rule, graphs of functions, inverse function, logarithmic and exponential functions will be covered.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Real Numbers, Absolute Value, Cartesian Coordinates in the Plane
2nd Week
Lines, Parabolas
3rd Week
Functions and Graphs, Composite Functions
4th Week
Limits of Functions,Left and Right Limits
5th Week
Limits at Infınıty and Infınıte Limits, Continuity
6th Week
Definition of Derivative, Tangent Lines
7th Week
Diffeentiation rules
8th Week
Midterm Exam
9th Week
Chain Rule, Higher-Order Derivatives
10th Week
Increasing and Decreasing Functions, Implicit Differentiation
11th Week
Inverse Funcitons, Exponential and Logarithmic Functions
12th Week
Indeterminate Forms, L'hospital Rule
13th Week
Extreme Values, Concavity
14th Week
Sketching the Graph of a Funciton, Extreme-Value Problems
RECOMENDED OR REQUIRED READING
1) Introductory Mathematical analysis for Business, Economics and life and Social Sciences, Ernest F. Haeussler, Richard S. Paul and Richard J. Wood 2) Calculus, Robert A. Adams, Addison-Wesley Pupl. 2010, 7. Edition.