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ISTANBUL GELİŞİM UNIVERSITY INFORMATION SYSTEM

MATHEMATICS I COURSE IDENTIFICATION AND APPLICATION INFORMATION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT141 MATHEMATICS I 1 3 3 4

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 Preparing the lesson plan Preparation of course materials Introductions, overview of the course, information on teaching methods, Sets, Concept of numbers (real, rational…), Ordering, Intervals, First- and Second-Degree Inequalities Method
2 Preparing the lesson plan Functions, Function Graphs, Polynomial Functions, Rational Functions, Integer-valued Functions, Sign Functions, Composite Functions, Concept of Inverse Functions Method
3 Preparing the lesson plan Exponential and Logarithmic Functions, Trigonometric and Inverse Trigonometric Functions Method
4 Preparing the lesson plan Limits (Limits of a Function and Limit Rules, the Squeeze Theorem) Method
5 Preparing the lesson plan Exact Definition of a Limit, One-Sided Limits, Infinite Limits Method
6 Preparing the lesson plan Continuity (Continuity at a Point, Continuous Functions, Intermediate Value Theorem, Types of Discontinuity) Method
7 Preparing the lesson plan Algebraic and Geometric Meanings of the Derivative, Rules for Differentiation, Chain Rule Method
8 Preparing the lesson plan Derivatives of Trigonometric Functions, Derivatives of Exponential Functions, Derivatives of Logarithmic Functions, Derivatives of Implicit Functions Method
9 Preparing the lesson plan General Review Review
10 - MID-TERM EXAM -
11 Preparing the lesson plan Higher-Order Derivatives, Applications of Derivatives, Important Theorems (Rolle’s Theorem, Mean Value Theorem, First Derivative Test for Local Extrema, Concavity, Second Derivative Test for Concavity, Inflection Points, Second Derivative Test for Local Extrema) Method
12 Preparing the lesson plan Plotting Graphs Using Derivatives Method
13 Preparing the lesson plan L’Hospital’s Rule Method
14 Preparing the lesson plan General Review Review
15 Preparing the lesson plan General Review Review
16 - FINAL EXAM -
17 - FINAL EXAM -