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Spring 2020 - Complex Variables

Resources

Handouts
Assignment Template (.tex)
Trinity Tower HW Logo (.jpg)
Visualizing nth roots (.mw file)
Complex nth Roots
Motivating Euler's Formula
Differentiability of C1 Functions
More on the Cauchy-Riemann
Equations (Lecture)
Harmonic Functions (Lecture)
Conformal Maps (Lecture)
Fractional Linear Transformations (Lecture)
Integration I (Lecture)
Integration II (Lecture)
The Maximum Principle (Lecture)
Integration III (Lecture)
Integration IV (Lecture)
Cauchy's Theorem (Lecture)
Additional Reading:  Cauchy's Theorem
Cauchy's Integral Formula (Lecture)
Consequences of Cauchy's Integral
Formula (Lecture)
Derivatives of Functions Defined
by Integrals
Morera's Theorem (Lecture)
Infinite Series (Lecture)
Sequences and Series of Functions (Lecture)
Power Series (Lecture)
Taylor Series (Lecture)
Zeros of Analytic Functions (Lecture)

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