Processing math: 100%
Syllabus: [pdf]
Exams
Exam 1: [pdf] [tex]
Exam 2: [pdf] [tex]
Exam 3: [pdf] [tex]
Homework
Homework 1 (due 26 August) (solution: [pdf]): click here
Homework 2 (due 4 September) (solution: [pdf]): click here
Homework 3 (due 9 September) (solution: [pdf]): click here
Homework 4 (due 16 September) (solution: [pdf]): click here
Homework 5 (due 2 October) (solution: [pdf]): click here
Homework 6 (due 9 October) (solution: [pdf]): click here
Homework 7 (due 14 October) (solution: [pdf]): click here
Homework 8 (due 23 October) (solution: [pdf]): click here
Homework 9 (due 30 October) (solution: [pdf]: click here
Homework 10 (due 11 November) (solution: [pdf]): click here
Homework 11 (due 18 November) (solution: [pdf]): click here
Homework 12 (due day of final exam) (solution: [pdf]): click here
Quizzes
Quiz 1 (due 28 August) (solution: [pdf]): Write in polar form and multiply z1=−2 and z2=3.
Quiz 2 (due 27 September) (solution: [pdf]): Use the logarithm definition of the principal Arccos function to compute Arccos(12).
Quiz 3 (due 9 October) (solution: [pdf]): Calculate ∫C¯zdz where C is the contour {z(t)=2eit−π2≤t≤π2.
Quiz 4 (due 14 October) (solution: [pdf]): Recall that to parametrize a line segment from a+bi to c+di use {z(t)=t(c+di)+(1−t)(a+bi)0≤t≤1. Use this to parametrize the curve C appearing below and compute ∫CRe(z)dz.
Class notes
Notes for week 1
Notes for week 2-3
Notes from week 3-4
Notes from week 4
Notes from week 6
Notes from week 7
Notes from week 8
Notes from week 9
Notes from week 10-11
Other stuff
Mobius transformations revealed by Douglas Arnold and Jonathan Rogness
Domain coloring of e1z: (almost) all colors appear in every circle around the "essential singularity" at z=0, demonstrating the Great Picard Theorem