Discussion of chapter 2

Sub-boards: I Introduction, II Polynomials, III Power Series, IV The Exponential Function, V Cosine and Sine, VI Multifunctions, VII The Logarithm Function, VIII Averaging over Circles, IX Exercises chapter 2, Errata for chapter 2

Discussion of chapter III

Sub-boards: I Introduction, II Inversion, III Three Illustrative Applications of Inversion, IV The Riemann Sphere, V Möbius Transformations: Basic Results, VI Möbius Transformations as Matrices*, VII Visualization and Classification*, VIII Decomposition into 2 or 4 Reflections*, IX Automorphisms of the Unit Disc*, X Exercises chapter 3, Errata for chapter 3

Sub-boards: I Introduction, II A Puzzling Phenomenon, III Local Description of Mappings in the Plane, IV The Complex Derivative as Amplitwist, V Some Simple Examples, VI Conformal = Analytic, VII Critical Points, VIII The Cauchy-Riemann Equations, IX Exercises chapter 4, Errata for chapter 4

Sub-boards: I Cauchy-Riemann Revealed, II An Intimation of Rigidity, III Visual differentiation of log(z), IV Rules of Differentiation, V Polynomials, Power Series, and Rational Functions, VI Visual Differentiation of the Power Function, VII Visual Differentiation of exp(z), VIII Geometric Solution of E'=E, IX An Application of Higher Derivatives: Curvature*, X Celestial Mechanics*, XI Analytic Continuation*, XII Exercises chapter 5, Errata for chapter 5

Sub-boards: I Introduction, II Spherical Geometry, III Hyperbolic Geometry, IV Exercises chapter 6, Errata for chapter 6

Sub-boards: I Winding Number, II Hopf''s Degree Theorem, III Polynomials and the Argument Principle, IV A Topological Argument Principle, V Rouché's Theorem, VI Maxima and Minima, VII The Schwarz-Pick Lemma*, VIII The Generalized argument Principle, IX Exercises, Errata for Chapter 7

Sub-boards: I Introduction, II The Real Integral, III The Complex Integral, IV Complex Inversion, V Conjugation, VI Power Functions, VII The Exponential Mapping, VIII The Fundamental Theorem, IX Parametric Evaluation, X Cauchy's Theorem, XI The General Cauchy Theorem, XII The General Formula of Contour Integration, XIII Exercises chapter 8, Errata for chapter 8

Sub-boards: I Cauchy's Formula, II Infinite Differentiability and Taylor Series, III Calculus of Residues, IV Annular Laurent Series, V Exercises for chapter 9, Errata for chapter 9

Sub-boards: I Vector Fields, II Winding Numbers and Vector Fields*, III Flows on Closed Surfaces*, Exercises for Chapter 10, Errata for Chapter 10

Sub-boards: I Flux and Work, II Complex Integration in Terms of Vector Fields, III The Complex Potential, IV Exercises for Chapter 11, Errata for Chapter 11