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ISTANBUL GELİŞİM UNIVERSITY INFORMATION SYSTEM

MATHEMATİCS III COURSE IDENTIFICATION AND APPLICATION INFORMATION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT209 MATHEMATİCS III 3 3 3 5

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 - Revisions on complex numbers. -
2 - Elementary functions sin z, cos z, sinh z, cosh z, exp(z). -
3 - Derivative of complex-valued functions. Cauchy-Riemann equalities. -
4 - Line integrals. Primitive function. -
5 - Cauchy’s integral theorem, Morera’s theorem. -
6 - Taylor series -
7 - Complex analysis -
8 - MID-TERM EXAM -
9 - Complex analysis -
10 - Zeros of analytic functions. Laurent Series. -
11 - Discrete math -
12 - Discrete math -
13 - Theory of Residues. -
14 - Computation of integrals with Residue Theorem. -
15 - Rouché’s theorem. -
16 - FINAL EXAM -
17 - FINAL EXAM -