Math 455

Complex Analysis


I plan to cover at least the first five chapters. After that, we may do some additional topics. One possibility, depending on class interest, is complex dynamical systems, e.g., fractals, chaos, Julia and Mandelbrot sets.

There will be a midterm and a final. There will be regular homework assignments. Will you have to do proofs? For math majors this is important for others not so much. Below I have different assignments for different majors. Perhaps even somewhat different tests. We'll see how that goes. Problems from each section are due the Monday after we finish that section. You should work many more problems than those assigned. Each chapter has a list of review problems.

Note: A solution manual exists. Copying an answer from it is plagiarism.

Grades: Homework will count for 20%. The midterm will count for 30% and the final exam 50%.

Homework Assignments

Math MajorsOthers
1.1: 1(b), 4, 10, 12.
1.2: 14, know 11.
1.3: 1, 3, 5, 7(a), 12, 22.
1.4: 6, 17 (in your own words), 20.
1.5: 2, 6, 10.
1.6: 2, 4.
1.R: .
1.1: 1, 4, 5, 19.
1.2: 2, 7, 12.
1.3: 1, 3, 5, 7(a), 12, 22.
1.4: 8, 16.
1.5: 2, 6, 24.
1.6: 2, 4.
1.R: .
2.1: 1, 2, 7, 11, 13.
2.2: 1, 6, 7, 11.
2.3: 6, 7ad.
2.4: 1, 2, 3, 6, 12, 13ab, 19b.
2.5: 1, 2, 5, 7, 17, 18.
2.R: 1, 2, 19, 21.
2.1: 1, 2, 7, 11, 13.
2.2: 1, 6, 11.
2.3: 7.
2.4: 1, 2, 13, 19.
2.5: 1, 2, 7, 17.
2.R: 1, 19, 21.
3.1: 1, 3, 14, 18.
3.2: 1, 22.
3.3: 1(cd), 2, 4, 7, 8, 19(b).
3.R: 1, 3, 9, 25.
3.1: 1, 3, 7, 19.
3.2: 1, 6, 9.
3.3: 1, 2, 4, 19.
3.R: 1, 3, 9, 25.
4.1: 1, 4, 7, 9, 13.
4.2: 2, 5.
4.3: 1, 2, 3, 5, 14.
4.4: 1, 4.
4.R: 32.
4.1: 1, 2, 7, 9, 13.
4.2: 1, 5.
4.3: 1, 3, 4, 5, 7.
4.4: none.
4.R: 2, 3, 27.
5.1: 5 (show work)
5.2: 2, 4, 6, 8, 26.
5.3: 1-6.
5.R:
5.1: 5 (show work)
5.2: 2, 4, 6, 8, 26.
5.3: 1-6.
5.R:

I reserve the right to make some changes as we go.