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Lecture #1: Introduction to Complex Variables (Sept 4) - final revision

Lecture #2: Algebraic Properties of C (Sept 6) - final revision

Lecture #3: Geometric Properties of C (Sept 9) - final revision

Lecture #4: Polar Form of a Complex Variable (Sept 11) - final revision

Lecture #5: The Complex Exponential Function (Sept 13) - final revision

Lecture #6: Applications of Complex Exponentials (Sept 16) - final revision (error found on page 6-2, file replaced on Sept 23)

Lecture #7: Applications of Complex Exponentials (Sept 18) - final revision

Lecture #8: Powers and Roots of Algebraic Equations (Sept 20) - final revision

Lecture #11: Complex Functions as Mappings (Sept 27) - this version is complete, but contains no images (error found in Ex 11.1, file replaced on Nov 20)

Lecture #12: Limits, Continuity, and Differentiability (Sept 30) - final revision (error found on page 12-2, file replaced on Nov 13)

Lecture #13: Analyticity and the Cauchy-Riemann Equations (Oct 2) - final revision

Lecture #14: Harmonicity and the Cauchy-Riemann Equations (Oct 4) - final revision

Lecture #15: Analytic Properties of the Complex Exponential (Oct 7) - final revision

Lecture #16: Analytic Properties of the Complex Trigonometric Functions (Oct 9) - final revision

Lecture #17: Applications of the Cauchy-Riemann Equations (Oct 16) - final revision

Lecture #18: Contour Integration (Oct 18) - final revision

Lecture #19: Contour Integration (Oct 21) - final revision

Lecture #20: Analyticity of the Complex Logarithm Function (Oct 23) - final revision

Lecture #21: The Cauchy Integral Theorem (Oct 25) - final revision

Lecture #22: Applications of the Cauchy Integral Theorem (Oct 28) - final revision

Lecture #23: Applications of the Cauchy Integral Theorem (Oct 30) - final revision

Lecture #24: The Cauchy Integral Formula (Nov 4) - final revision

Lecture #25: Consequences of the Cauchy Integral Formula (Nov 7) - final revision

Lecture #26: Taylor Series (Nov 13) - final revision

Lecture #27: Taylor Series and Isolated Singularities (Nov 15) - final revision

Lecture #28: Laurent Series (Nov 18) - final revision

Lecture #29: Calculating Laurent Series (Nov 20) - final revision

Lecture #30: Laurent Series and Residue Theory (Nov 22) - final revision

Lecture #31: The Cauchy Residue Theorem (Nov 25) - final revision

Lecture #32: Computing Real Trigonometric Integrals (Nov 27) - final revision

Lecture #33: Computing Real Trigonometric Integrals (Nov 27) - final revision

Lecture #34: Cauchy Principal Value (Dec 2)