Week |
Monday |
Tuesday |
Thursday |
1 (April 1-4) |
no class |
Introduction (1-3) |
Representations (4-7) |
2 (April 7-11) |
Student Presentations, Polar Form (7-8) |
Argument, Roots (9-11), Definitions (first half of 12) |
Definitions, Functions, Mapping of (w=z^2) (12-14) |
3 (April 14-18) |
Presentations |
Limits (14-15) |
Limits and Infinity, Continuity, Differentiability (16-20) |
4 (April 21-25) |
Presentations |
Cauchy-Riemann Equations (21-24) |
Analytic Functions (25-27) |
5 (April 28-May 2) |
Presentations |
Exponential and Logarithmic Functions (30-33) |
Log Function, Power Function, Trigonometric Functions, Hyperbolic Functions
(34-39) |
6 (May 5-9) |
Presentations |
Test 1 |
Inverse Trignometric Functions (40), Integrals and Contours (41-43) |
7 (May 12-16) |
Presentations |
Contour Integrals (44-46) |
Upper bounds (47), Antiderivatives (48), Cauchy-Goursat Theorem (50) |
8 (May 19-23) |
Presentations |
Simply and Multiply Connected Fomains (52-53), Cauchy Integral Formula
(54-55) |
Consequences of Extension, Liouville's Theorem, Fundamental Theorem of
Algebra, Maximum Modulus Principle (57-59) |
9 (May 26-30) |
Memorial Day |
Maximum Modulus Principle (59), Taylor Series (62-64) |
Laurent Series (65-68) |
10 (June 2-6) |
Presentations |
Test 2 |
Residues (74-76) |
11 (June 9) |
Presentations |
no class |
no class |