Week |
Monday |
Wednesday |
1 (March 28-April 1) |
Introduction (1-5) |
Conjugates, Exponential Form (5-9) |
2 (April 4-April 8) |
Roots, Regions, Functions (10-12) |
Mappings, Limits, Point at Infinity, Continuity (12-18) |
3 (April 11-April 15) |
Derivative, Cauchy-Riemann Necessary Conditions (18-21) |
Student Activity 1 (22-24) |
4 (April 18-April 22) |
Analytic Functions, Harmonic Functions (25-27), Exponential Function (30) |
Logarithmic Function, Power Function (31-36) |
5 (April 25-April 29) |
Trigonometric Functions (37-40) |
Test 1 |
6 (May 2-May 6) |
Contour Integrals (41-45) |
Student Activity (45-47) |
7 (May 9-May 13) |
Antiderivatives, Cauchy-Goursat Theorem, Simply Connected Domains (48-50, 52) |
Multiply Connected Domains, Cauchy Integral Formula and Extensions,
Liouville's Theorem (53-55, 57, 58 Theorem 1) |
8 (May 16-May 20) |
Fundamental Theorem of Algebra, Maximum Modulus Principle (58, 59),
Student Activity 3 (62-64) |
Student Activity 4 (65-66) |
9 (May 23-May 27) |
Test 2 |
Laurent Series (66, 68) |
10 (May 30-June 3) |
Holiday |
Residues (74-76) |
11 (June 6-May 10) |
Test 3 |
no class |