| Date | Section in Saff and Snider and assigned problems |
What's due/ other remarks | |
| Tuesday 9/2 |
Historical introduction. Historical
quotes. Definition and algebraic properties of complex numbers. Sections 1.1 and 1.2. Page 5: Problems 7, 8, 14, 15, 16, 20, 22 Page 12: Problems 4, 5, 7, 8, 16 |
||
| Thursday 9/4 |
Section 1.3 Polar form of complex numbers Page 22: Problems 5, 6, 7, 9, 13, 25, 26, 28 |
|
|
| Tuesday 9/9 |
Section 1.4: Complex exponential. Section 1.5: Powers and Roots Page 31: Problems 1, 2a, 3b,c, 4b, 10, 12, 17a,b, 18a Page 37: Problems 4, 5, 6, 7, 9, 10 ,15 |
|
|
| Thursday 9/11 | Sections 1.6 and 1.7. Page 42: Problems 2 - 8, 12 Page 50: Problems 1, 2, 5 |
Quiz #1: Sections 1.1, 1.2,
and 1.3 Solutions |
|
| Tuesday 9/16 | Section 2.1 Page 56: Problems 1, 4, 6, 9, 10, 13 |
Page 31: Problems 2a, 3c,
12, 18a Page 37: Problems 4b, 5b,d, 6c, 10 Page 42: Problems 2, 3, 5. Solutions |
|
| Thursday 9/18 | Section 2.2 Page 63: Problems 7, 11, 21 |
Quiz #2: Sections 1.4, 1.5, and 1.6 Solutions |
|
| Tuesday 9/23 | Section 2.3 Page 70: Problems 6, 7, 10 |
Page 56: Problems 1 c,d,f
; 6, 13 Page 63: Problems 7 e,f; 11 a,d ; 21 d Solutions |
|
| Thursday 9/25 | Sections 2.4 and 2.5 Page 77: Problems 1c, 2, 4, 5, 8, 11 Page 84: Problems 2, 3, 8, 14 |
Quiz #3: Sections 2.1
and 2.2 Solutions |
|
| Tuesday 9/30 |
Section 2.5 Page 84: Problems 5, 6, 11, 18, 22 |
Page 70: Problems 6,
7 c,d. Page 77: Problems 1c, 4, 11 Page 84: Problems 2, 3d, 8 Solutions |
|
| Thursday 10/2 | Sections
3.2 and beginning of 3.3 Page 115: Problems 5, 6, 9, 11, 13a, 16, 20, 23 Page 123: Problems 1, 3, 5, 6. |
Quiz #4: Sections 2.3, 2.4 and 2.5 Solutions |
|
| Tuesday 10/7 | Cauchy-Riemann Equations in polar coordinates. Complex powers. Review: Wednesday 10/8, 6 pm., LGRT 202 |
Page 84: Problems 11,
18, 22 Page 115: Problems 9c, 13a, 16, 20 Page 123: Problems 1, 5 Solutions |
|
| Thursday 10/9 | Hour Exam # 1. In
class. Solutions It will cover all the material discussed in class through Thursday 10/2. |
||
| Tuesday 10/14 | No Class - Monday
Schedule |
||
| Thursday 10/16 |
Complex powers. Inverse
trigonometric functions. Integration of complex valued functions of one real variable. Page 123: Problems 11, 12, 13, 14, 16. Page 136: Problems 1, 3, 5, 6, 7, 8, 9, 11 |
||
| Tuesday 10/21 |
Contours and Integration. Page 160: Problems 3, 7, 8, 10, 11 Page 170: Problems 3, 5, 6, 8, 11 |
||
| Thursday 10/23 |
Integration. Primitives
(antiderivatives). Page 170: Problem 14 Page 178: Problems 1, 11, 12 |
Quiz #5: Sections 3.3, 3.5 Solutions |
|
| Tuesday 10/28 |
Cauchy's Integral Theorem Page 199: Problems 7, 10, 13, 15 |
Page 136:
Problems 1d, 3b, 7, 11 Page 160: Problems 3, 7, 11 Page 170: Problems 3b, 6, 11b, 14b Page 178: Problems 1 c,g,h, 12. Solutions |
|
| Thursday 10/30 |
Cauchy' Integral Formula. Page 212: Problems 1, 2, 3, 6, 7, 16 |
Quiz #6: Sections 4.1, 4.2, 4.3. Solutions |
|
| Tuesday 11/4 |
Section 4.6: Liouville's
Theorem, Fundamental Theorem of Algebra, Mean value property. Page 219: Problems 3, 5, 6, 7. |
Page 199:
Problems 7, 10cd, 13, 15 Page 212: Problems 3 b,c,d, 7. Solutions |
|
| Thursday 11/6 |
Series of complex numbers. Power
series. Page 239: Problems 1, 2, 5, 6, 7, 11, 14. Page 259: Problems 3, 4, 5. |
Quiz #7: Sections 4.4, 4.5 Solutions |
|
| Tuesday 11/11 |
No
Class - Holiday |
||
| Wednesday 11/12 |
Tuesday
Class Schedule! Power series. Taylor and Laurent Series. Page 249: Problems 1, 3, 5, 11, 13, 14, 18a Page 259: Problems 6, 8, 13. |
Page 219:
Problems 5, 7. Page 239: Problems 1d, 2c, 6, 11b, 14b. Page 259: Problems 3 c, d, 5 a, b, d. Solutions |
|
| Thursday 11/13 |
Laurent Series. Page 276: Problems 1, 3, 4, 5, 6, 7 |
Quiz #8: Sections 4.6, 5.1, 5.3. Solutions |
|
| Tuesday 11/18 |
Zeroes and singularities. Page 285: Problems 1, 3, 5, 6, 10, 12, 15. |
Page
249: Problems 1c, 3c, 5b,e, 11b, 18a Page 259: Problem 8 Page 276: Problems 1 b,c, 3 b, 4, 7 b Solutions |
|
| Wed. 11/19 |
Review: 6 pm, LGRT 123. |
||
| Thursday 11/20 |
Hour
Exam # 2. In
class. Solutions It will cover all the material discussed in class from Tuesday 10/7 to Thursday 11/13. |
||
| Tuesday 11/25 |
The Residue Theorem. Page 313: Problems 1, 2, 3, 4, 5, 6 |
||
| Thursday 11/27 |
No
Class - Thanksgiving. |
||
| Tuesday 12/2 |
Trigonometric integrals. Improper integrals of rational functions. Page 317: Problems 2, 4, 6 Page 325: Problems 2, 4, 6, 8 |
Page 285:
Problems 1 b,d,e, 6, 12. Page 313: Problems 1 g, h, 3 c, d, f, 4, 5 Solutions |
|
| Thursday 12/4 |
Improper integrals of rational and trigonometric functions. Page 336: Problems 1, 2, 3, 5. |
Quiz #9: Sections 5.6, 6.1. Solutions |
|
| Tuesday 12/9 |
Indented contours. Page 344: Problems 1, 2, 4, 5. |
Some
residue integrals |
|
| Thursday 12/11 |
Using residues to find the sum of some series. Last Class. |
Quiz #10: Sections 6.2, 6.3, 6.4. Solutions |
|
Monday 12/15 |
Final Exam -- 4 pm LGRT 101 Solutions |
||
Thursday 1/1/09 |
Happy New Year! |