MATH 103A: Complex Analysis (Winter 2021)
- Welcome to the course webpage for the Winter 2021 manifestation of MATH 103A: Complex Analysis at the University
of California, Santa Cruz.
Course Info
- Title: MATH 103A: Complex Analysis
- Quarter: Winter 2021
- Credits: 5
- Time: TuTh 1:30-3:05PM
Tentative Lecture Schedule
- The lectures will generally follow the textbook: Complex Variables and Applications, Brown and Churchill, 9th Edition.
The following tentative lecture schedule will be updated as we go along and the lecture notes will be posted here after each class.
| Tuesday | Thursday | Notes by Chapter | |||
|---|---|---|---|---|---|
| Week 1 (1/4 - 1/10) |
Ch 1: Sections 1-5 Lecture 1 (1/5) | Ch 1: Sections 6-11 Lecture 2 (1/7) | Ch 1: Complex numbers | ||
| Week 2 (1/11-1/17) |
Ch 2: Sections 12-17 Lecture 3 (1/12) | Ch 2: Sections 18-23 Lecture 4 (1/14) | |||
| Week 3 (1/18-1/24) |
Ch 2: Sections 25-26 & Ch 3: Sections 30-31 Lecture 5 (1/19) | Ch 3: Sections 32-37 Lecture 6 (1/21) | Ch 2: Analytic Functions | ||
| Week 4 (1/25-1/31) |
Ch 3: Sections 38-40 Ch 4: 40-42 Lecture 7 (1/26) Updated 1/29 | Ch 4: 43-45 Lecture 8 (1/28) | Ch 3: Elementary Functions | ||
| Week 5 (2/1 - 2/7) |
Ch 4: Section 46-47 & 49 Lecture 9 (2/2) | Ch 4: Sections 48, 50-51 Lecture 10 (2/4) | |||
| Week 6 (2/8-2/14) |
Ch 4: Sections 52-54 Lecture 11 (2/9) | Ch 4: Sections 55-59 Lecture 12 (2/11) | Ch 4: Contour Integration | ||
| Week 7 (2/15 - 2/21) |
Ch 5: Sections 60-64 Lecture 13 (2/16) | Ch 5: Sections 64-68 Lecture 14 (2/18) | |||
| Week 8 (2/22-2/28) |
Ch 5: Sections 69-71 Lecture 15 (2/23) | Ch 5: Sections 72-77 Lecture 16 (2/25) | Ch 5: Series | ||
| Week 9 (3/1-3/7) |
Ch 6: Sections 78-81 Lecture 17 (3/2) | Ch 6: Sections 82-83 Lecture 18 (3/4) | Ch 6: Residues and Poles | ||
| Week 10 (3/8-3/14) |
Ch 7: Sections 85-88 Lecture 19 (3/9) | Ch 7: Sections 89,93-94 Lecture 20 (3/11) | Ch 7: Applications of Residues |