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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
MTH105 MATHEMATICS I 1 5 4 6

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 Literatür Araştırması Basic Concepts on mathematics (Sets, Real Numbers, Intervals, Absolute Value) Anlatım
2 Literatür Araştırması Functions (Polynomial Functions, Rational Function, Absolute Value Function, Sign Function, Combination of Functions, Concept of Inverse Function, Exponential and Logarithmic Functions, Trigonometric and Inverse Trigonometric Functions Anlatım
3 Literatür Araştırması Limits (Limit (Limit of a Function and Limit Rules, Sandwich Theorem, Exact Definition of Limit, One Sided Limits, Infinite Limits) Anlatım
4 Literatür Araştırması Continuity (Continuity at a point, Continuous Functions, Intermediate Value Theorem, Types of Discontinuities), Limits at Infinity Anlatım
5 Literatür Araştırması Algebraic and geometric meanings of derivative, differentiation rules, Chain Rule Anlatım
6 Literatür Araştırması Derivatives of trigonometric functions, Derivatives of exponential functions, Derivatives of logarithmic functions, Derivative of Implicit Functions Anlatım
7 Literatür Araştırması Higher Order Derivatives, Applications of Derivative, Important Theorems (Rolle's Theorem, Mean Value Theorem, First Derivative Test for Local Extremes, Concavity, Second Derivative Test for Concavity, Inflection Points, Second Derivative Test for Local Extremes) Anlatım
8 - MID-TERM EXAM -
9 Literatür Araştırması Curve Sketching, L'Hospital Rule Anlatım
10 Literatür Araştırması Integral Definition, formulas, integration methods Anlatım
11 Literatür Araştırması Substitution method and Integration by Parts Anlatım
12 Literatür Araştırması Integration of Rational Functions by Partial Fractions Anlatım
13 Literatür Araştırması Riemann sums, Sigma (Sum symbol) properties, Fundamental theorem of Calculus Anlatım
14 Literatür Araştırması Review by Problem Session Anlatım
15 Literatür Araştırması FINAL EXAM Anlatım
16 - FINAL EXAM -
17 - FINAL EXAM -