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  Fall 2019 — Current at Virginia Tech Fall 2013 — Spring 2019 at Arizona State University

WeBWorK problems (.tgz)

All course materials will be posted on the course canvas page.

Course notes (PDF)

Schedule

Below is a schedule of the semester and roughly what I intend to cover each week.

• Oct 19 - Oct 23
  (Section 19.1) Geometry and Arithmetic of Complex Numbers
  (Section 19.2) Complex Functions
  (Section 19.3) The Exponential and Trigonometric Functions
  
• Oct 26 - Oct 30
  (Section 19.4) The Complex Logarithm
  (Section 19.5) Powers
  (Section 19.A) Harmonic Functions
  
• Nov 02 - Nov 06
  (Section 20.1) The Integral of a Complex Functions
  (Section 20.2) Cauchy's Theorem
  (Section 20.3) Consequences of Cauchy's Theorem
  
• Nov 09 - Nov 13
  (Section 20.A) Applications to Harmonic Functions
  (Section 21.1) Power Series
  (Section 21.2) The Laurent Expansion
  
• Nov 14 Exam 3 @ All day on Canvas
• Nov 16 - Nov 20
  (Section 22.1) Singularities
  (Section 22.2) The Residue Theorem
  (Section 22.3) Evaluation of Real Integrals
  
• Nov 30 - Dec 04
  (Section 22.A) The Point at Infinity and the Riemann Sphere
  (Section 23.1) Conformal Mappings
  (Section 23.2) Construction of Conformal Mappings
  
• Dec 07 - Dec 09
  Review
  
• Dec 15 Exam 4 @ All Day on Canvas

Exam Topics

Each exam covers the following sections from the course textbook:

• Exam 3 - Sections 19.1 - 19.A, 20.1 - 20.A
• Exam 4 - Sections 21.1 - 21.2, 22.1 - 22.3

Exam Reviews

Review past homework assignments, and consult your book for problems of comparable difficulty.