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MATH 312 Spring 2014
Lecture Summary



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



clam@csub.edu