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# EHB 235E - Karmaşık İşlevler Kuramı

## Dersin Amaçları

1. Complex Numbers and Basic Operations 2. Elementary Complex Functions 3. Inverse Functions of Elementary Complex Functions (Square Root Function) 4. Inverse Functions of Elementary Complex Functions (Logarithm - Complex Power - Inverse Trigonometric - Inverse Hypergeometric Functions) 5. Limit, Derivative, Analytic Functions, Harmonic Functions 6. Conformal Mapping 7. Applications of Conformal Mapping 8. Integrals (Contour integrals, Antiderivatives, Cauch-Goursat Theorem) 10. Integrals (Cauchy Integral Formula, Residues and Poles) 11. Evaluation of Some Integrals via Complex Integration 12. Series (Taylor Series) 13. Series (Laurent Series) 14. Evaluation of Summation of Some In?nite Series via Complex Analysis

## Dersin Tanımı

1. Complex Numbers and Basic Operations 2. Elementary Complex Functions 3. Inverse Functions of Elementary Complex Functions (Square Root Function) 4. Inverse Functions of Elementary Complex Functions (Logarithm - Complex Power - Inverse Trigonometric - Inverse Hypergeometric Functions) 5. Limit, Derivative, Analytic Functions, Harmonic Functions 6. Conformal Mapping 7. Applications of Conformal Mapping 8. Integrals (Contour integrals, Antiderivatives, Cauch-Goursat Theorem) 10. Integrals (Cauchy Integral Formula, Residues and Poles) 11. Evaluation of Some Integrals via Complex Integration 12. Series (Taylor Series) 13. Series (Laurent Series) 14. Evaluation of Summation of Some In?nite Series via Complex Analysis

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