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MATH 312 Spring 2016
Lecture Summary



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



clam@csub.edu