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ISTANBUL GELİŞİM UNIVERSITY INFORMATION SYSTEM

MATHEMATICS II COURSE IDENTIFICATION AND APPLICATION INFORMATION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT106 MATHEMATICS II 2 5 4 6

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 Students create a positive impression in the preparatory work related to course topics Sigma Notation and Limits of Finite Sums,The Definite Integral, The Fundamental Theorem of Calculus, Basic Integration Formulas, Integration by Parts, Lecture-Discussion
2 Topic started on the preparation of problems and solutions Integration of Rational Functions by Partial Fractions, Trigonometric Integrals, Trigonometric Substitutions Lecture-Discussion
3 Topic started on the preparation of problems and solutions Substitution and Area Between Curves, Lengths of Plane Curves Lecture-Discussion
4 Topic started on the preparation of problems and solutions Volumes by Slicing and Rotation About an Axis, Volumes by Cylindrical Shells, Areas of Surfaces of Revolution Lecture-Discussion
5 Topic started on the preparation of problems and solutions Improper Integrals Lecture-Discussion
6 Topic started on the preparation of problems and solutions Functions of Several Variables Lecture-Discussion
7 Topic started on the preparation of problems and solutions Limits and Continuity in Higher Dimensions Lecture-Discussion
8 Topic started on the preparation of problems and solutions Partial Derivatives, The Chain Rule Lecture-Discussion
9 Topic started on the preparation of problems and solutions Directional Derivatives and Gradient Vectors, Tangent Planes and Differentials Lecture-Discussion
10 - MID-TERM EXAM -
11 Topic started on the preparation of problems and solutions Extreme Values and Saddle Points Lecture-Discussion
12 Topic started on the preparation of problems and solutions Double Integrals, Area and Volume Lecture-Discussion
13 Topic started on the preparation of problems and solutions Double Integrals in Polar Form, Substitutions in Multiple Integrals Lecture-Discussion
14 Topic started on the preparation of problems and solutions Applications Lecture-Discussion
15 - - -
16 - FINAL EXAM -
17 - FINAL EXAM -