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Andrew McCrady

Complex Analysis

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28 items
Last updated on Aug 17, 2023
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Intro to Complex Numbers
6:30
Algebra of Complex Numbers
15:41
Geometry of Complex Numbers
14:11
Polar Coordinates for Complex Numbers
13:06
DeMoivre's Theorem and its Extension
15:00
Basic Topology of the Complex Plane
20:54
Paths in the Complex Plane
20:30
Functions of a Complex Variable
8:58
Limits of Functions of a Complex Variable
16:25
Continuity for Functions of a Complex Variable
14:56
What's the Difference Between Complex Differentiable and Holomorphic?
16:22
Partial Derivatives and the Cauchy Riemann Equations
21:25
The Cauchy-Riemann Equations and the Complex Derivative
34:06
Using the Derivative to Detect Constant Functions Part 1
6:03
Using the Derivative to Detect Constant Functions Part 2
22:30
Conformal Maps
12:03
Linear Fractional Transformations and Möbius Transformations
12:03
Translations, Dilations, and Inversions: What do Möbius Transformations do to Circles and Lines?
17:01
limit as z to infinity of  z is infinity?!
12:10
The Stereographic Projection: Learn it FAST!
3:12
The Extended Complex Plane (Riemann Sphere)
17:18
The Cross Ratio
15:54
The Complex Exponential
14:44
The Complex Trig Functions
18:06
Harmonic Functions: why they are cool!
21:55
The Polar Form of the C R Equations
12:53
How Harmonic Functions Relate to Holomorphic Functions
18:34
The Complex Logarithm: Multivalued Functions?!?
23:18