Course Calendar and Hmw Assignments for Math 352
It is expected that you read all the sections to be covered BEFORE the class and come to class prepared to discuss the topics.
Check this page regularly for updates.
| Date | Section/Topic/Reading Assignment | Problems to be collected | Problems to be presented |
| M, Jan 19 | 1.1 Intro to Complex Numbers | Due F, Jan 23: 2 (distributive law only), 8,14,19,24,30 |
4,9-10,21,26 |
| W, Jan 21 | 1.2 Point Rep of Complex Numbers & 1.3 Vectors and Polar Forms |
Due F, Jan 23: 4,5,7bdeh,14,17,18 and 8': Illustrate graphically, then prove analytically that for all real numbers r, |z-r| = | z* -r| (here z* is z conjugate ) |
6,7fg,10,16 |
| F, Jan 23 | 1.3 & Problem Session | 1.3: 1c,3,5bc,6b,7g,12a,13,17,18 | |
| M, Jan 26 | 1.4 & 1.5 | 1.4: 1,2,3bc,7-11,12a,13,14,20 | |
| W, Jan 28 | 1.5 & Practice | 1.5: 4a, 5,6a,7c, | |
| F, Jan 30 | Quiz on Complex Arithmetic | ||
| M, Feb 2 | 1.6 & 1.7 | Due: F, Feb 6 1.6: 2-8 for parts b & e 12,13,19,20,24 |
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| W, Feb 4 | 2.1: Functions of a Complex Variable | Due: F, Feb 6 1ce, 2ce,3ac,5,11 |
1d,2d,3d,4,10,12 |
| F, Feb 6 | Maple Lab | ||
| M, Feb 9 | 2.2: Limits and Continuity | Due: F, Feb 13 1,6-8,11bd 12, 17 In 11d, there is a typo: the numerator should be z^2+1, not z^2+i) Hint for 12: you may use the result exercise 22 and 7c |
3,7cf,13,18,22 |
| W, Feb 11 | 2.2 & 2.3 Limits and Analyticity | Due: F, Feb 13 3,4b,7d,9d,11af,13, |
2,4c,10,11dgh,16 |
| F, Feb 13 | Problem Session | ||
| M, Feb 16 | 2.4 The Cauchy Riemann Equations | Due: F, Feb 20 2-5, 16 |
8,9,12 |
| W, Feb 18 | 2.5 Harmonic Functions | Due: F, Feb 20 1b,3cf,6,9,22 |
3b,11,14 |
| F, Feb 20 | Problem Session & 3.1 | ||
| M, Feb 23 | 3.1 & 3.2 | Due: F, Feb 27 3.1: 1,3c,5a,8,11a,13b,15ab |
4,6,7,14,15c |
| W, Feb 25 | 3.2 & 3.3 | Due: F, Feb 27 3.2: 1, 5cf,6,7,11,12a,17,20 |
8,10,12b,13a,14,19 |
| F, Feb 27 | 3.3 & 3.5 | 3.3: 1-3,6,10,13,14 | 3.3: 4,5,9,11,12,15 |
| M, Mar 1 | Student Presentations (3.1 & 3.2) | 3.5: 1-8,10 | 3.5: 1b,2c,5,7,11,14 |
| W, Mar 3 | Student Presentations(3.3 & 3.5) | ||
| F, Mar 5 | Midterm ExamI |
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SPRING BREAK |
| M, Mar 22 | 4.1: Contours | Due M, Mar 22 1,4,6-8,10,11, |
3,9,12,13,14 |
| W, Mar 24 | 4.2: Contour Integrals | Due M, Mar 22 1,3,5,8,11,14ab,16,17 |
6,9,12,13,14cd, |
| F, Mar 26 | Student Presentations | ||
| M, Mar 29 | 4.3: Independence of Path | Due F, Apr 2 1abcefgh,2-4,7,11,12 |
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| W, Mar 31 | 4.4 Cauch's Integral Theorem | ||
| F, Apr 2 | 4.4 Cauch'y Integral Them | Due W, Apr 7 3,7,9-11,13-15 |
16-20 |
| M, Apr 5 | Student Presentation & 4.5 | ||
| W, Apr 7 | 4.5 Cauch'y Integral Formula | Due W, Apr 14 1,2,3abef,4,6,7,9,10 |
5 |
| F, Apr 9 | Exercises on Cauchy Int Formula | ||
| M, Apr 12 | 4.6 Bounds for Analytic Functions and FTA | Due W, Apr 14 3,5,7,10,11,15 |
6,16,18,19 |
| W, Apr 14 | Review/Problem Solving | ||
| F, Apr 16 | Mid-term Exam 2 (2-hr starting at 1:10 pm) | ||
| M, Apr 19 | 5.1: Series of Complex Numbers Uniform Convergence |
Due F, Apr 23 5.1: 1abcd,2-5,7cef,8-12,17,18 |
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| W, Apr 21 | 5.2: Taylor Series | Due F, Apr 23 5.2: 1abd, 2abd,3,5,8ac,11b,13-15,17,18a,19 |
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| F, Apr 23 | 5.3 Power Series | Due M, Apr 26 1, 3-11,18 |
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| M, Apr 26 | 5.5 Laurent Series | Due F, Apr 30 1,4-6,7b,9,13 |
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| W, Apr 28 | 5.6 Zeros and Singularities | Due M, May 3 5.6: 1abdg,2,3,5(also provide a brief explanation for each statement that is false), 6, 13 |
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| F, Apr 30 | 5.6 and 5.7 | Due M, May 3 5.7: 1adgh, 2, 3ab, 5 |
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| M, May 3 | 6.1 The Residue Theorem | Due F, May 7 1-7 |
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| W, May 5 | 6.2 Trig Integrals | Due F, May 7 1,4,5 |
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| F, May 7 | 6.3 Improper Integrals | 1,4,5,11 |