Tentative calendar for MAT334.

Thursday, September 09 Sections 1.1-1.2 Introduction: Complex numbers, point representation
Tuesday, September 14 Sections 1.3-1.5 Polar Form, Complex Exponentials, Power and Roots
Thursday, September 16 Sections 1.6, 1.7 Planar Sets, Riemann Sphere
Tuesday, September 21 Sections 2.1, 2.2 Functions of Complex variable, limits, continuity
Thursday, September 23 Section 2.3 Analyticity
Tuesday, September 28 Sections 2.3, 2.4 Analyticity, The Cauchy-Riemann equations
Thursday, September 30 Section 2.5 Harmonic functions
Tuesday, October 05 Sections 2.6, 3.1 Iterated Maps, Polynomial and Rational Functions
Thursday, October 07 Section 3.2 Exponential, Trigonometric, and Hyperbolic Functions
Tuesday, October 12 Sections 3.3, 3.5 Logarithmic and Inverse Trigonometric Functions, Complex Powers
Thursday, October 14   Review for the Midterm Test
Tuesday, October 19   Midterm Test
Thursday, October 21   Discussion of the Midterm
Tuesday, October 26 Sections 4.1-4.2 Contours, Contour Integrals
Thursday, October 28 Section 4.3 Independence on Path
Tuesday, November 02 Section 4.4 Cauchy's Integral Theorem
Thursday, November 04 Section 4.5 Cauchy's Integral Formula
Tuesday, November 09 Sections 4.6, 4.7 Bounds for Analytic Functions, Applications to Harmonic Functions
Thursday, November 11 Section 5.1 Sequences and Series
Tuesday, November 16 Sections 5.2, 5.3 Taylor and Power Series
Thursday, November 18 Section 5.5 Laurent Series
Tuesday, November 23 Sections 5.5, 5.6 Laurent Series, Zeroes and Singularities
Thursday, November 25 Section 6.1 Residue Theorem
Tuesday, November 30 Sections 6.2-6.4 Using Residue Theory to compute some definite integrals
Thursday, December 02 Section 6.7 The Argument Principle and Rouche's Theorem
Tuesday, December 07   Review for the Final Exam