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•           Information on Degree Programmes

COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Mathematic * MK   135 1 4 4 5

 Prerequisites and co-requisites Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof. Dr. Zerrin Gül ESMERLİGİL
Instructors
 Prof. Dr. ZERRİN GÜL ESMERLİGİL 1. Öğretim Grup:A Prof. Dr. ZERRİN GÜL ESMERLİGİL 2. Öğretim Grup:A

Assistants
Goals
Understand basic properties of limit, continuity and derivative and use them drawing the graphs of functions, approximate calculations and problem solving.
Content
Sets and number sets, Functions, Limits, derivative and rule of derivative, Drawing graph of functions.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Numbers: Rational and real numbers. Order. Absolute value. Real axis. Intervals. Inequalities. Review of the relevant pages from sources
2 Functions. Finding domain and range. Operations on functions and function types. Review of the relevant pages from sources
3 Increasing and decreasing functions. Inverse function. Graphics. Implicit functions. Review of the relevant pages from sources
4 Trigonometric functions. Problem-solving. Review of the relevant pages from sources
5 Limit of functions of one variable. Properties of limits. One-sided limits. Review of the relevant pages from sources
6 Infinite Limits . Limits at infinity. Continuity. Review of the relevant pages from sources
7 Continuous functions and their properties. Problem-solving. Derivatives, slope of the tangent. Geometric interpretation of the derivative. Rules of differentiation. Review of the relevant pages from sources
8 Midterm exam Review and Problem Solving
9 The chain rule. Higher-order derivatives. Derivative of inverse functions. Review of the relevant pages from sources
10 The inverse trigonometric functions and their derivatives. Problem-solving. Review of the relevant pages from sources
11 Rolle Theorem, Mean Value Theorem. Finding maximum and minimum . First and second derivative tests. Review of the relevant pages from sources
12 The second derivative and convexity. Asymptotes. Skethching graphs. Review of the relevant pages from sources
13 Applied maximum and minimum problems. Review of the relevant pages from sources
14 Exponential and logarithmic functions. Review of the relevant pages from sources
15 Indefinite forms and LHopitals rule. Review of the relevant pages from sources
16-17 Final exam Review and Problem Solving