3. 강의목표
This course explores a beautiful world of complex analysis. The journey starts from complex numbers and analytic functions. It covers contour integrals, Cauchy integral formula, residue theorem, power series, argument principle, conformal mappings, etc.
4. 강의선수/수강필수사항
Calculus I and II
5. 성적평가
Quiz 30%, Midterm 30%, Final 40%. We will have weekly quizzes. No make-up quizzes and exams!
If you don't take the mid-term exam or the final exam, you will get an F grade.
More than 6 absences will result in an automatic F grade.
6. 강의교재
| 도서명 |
저자명 |
출판사 |
출판년도 |
ISBN |
|
Advanced Engineering Mathematics 10/ed, Part D (Ch 13-18)
|
E. Kreyszig
|
Wiley & Sons
|
2011
|
ISBN 978-0-470-45836-5
|
7. 참고문헌 및 자료
Complex Variables and Applications (9th Edition), by Brown and Churchill, McGraw-Hill, 2014.
Complex Analysis with Applications, by R. Silverman, Prantice-Hall, 1974.
8. 강의진도계획
We shall cover only Part D of the TextBook, Chapters 13-18. The following is a rough schedule:
Week 1-2: Chapter 13: Complex numbers and functions, complex differentiation, limits, Cauchy-Riemann equation, Complex exponential and log, Complex trigonometric functions
Week 3-5: Chapter 14: Complex line integrals, Cauchy's integral theorems, Complex calculus
Week 6-7: Chapter 15: Power series, Taylor expansion, Radius of convergence, Term by term calculus
Week 8: Midterm examination
Week 9-10: Chapter 16: Laurent series, Residues, Zeros of analytic functions, Application to real integrals
Week 11-12: Chapter 17: Conformal mapping, Linear fractional transforms, Moebius transform
Week 13-14: Complex analysis, Potential theory, Electrostatic fields, Heat problems, Fluid flow etc.
Week 15: Review
Final examination
9. 수업운영
Regular ( Face to Face) Course
11. 장애학생에 대한 학습지원 사항
- 수강 관련: 문자 통역(청각), 교과목 보조(발달), 노트필기(전 유형) 등
- 시험 관련: 시험시간 연장(필요시 전 유형), 시험지 확대 복사(시각) 등
- 기타 추가 요청사항 발생 시 장애학생지원센터(279-2434)로 요청