mike dabkowski math

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Holomorphic Functions are Complex Analytic

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Dedekind Cuts: An Introduction

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The Identity Principle For Holomorphic Functions

0:06:52

The Gompertz Differential Equation and Applications

0:10:43

The Stereographic Projection onto the Extended Complex Plane

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Proving a Two Dimensional Limit Does Not Exist

0:14:07

The Cauchy Integral Formula

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Density Arguments for Continuous Functions

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Partial Sums of Fourier Series and the Dirichlet Kernel

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The Cauchy Theorem in Two Simple Cases

0:12:50

Hadamard's Formula for the Radius of Convergence of a Complex Taylor Series

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Discrete Dynamical Systems

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Finding Constants to Make a Piecewise Function Differentiable

0:13:23

Transformation Law for Covariant Components of Contravariant Vectors

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Converting a Double Integral to Polar Coordinates: Example 1

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The Binomial Theorem

0:11:03

The Heat Equation on a Disk with Radial Symmetry

0:11:13

Solving Ordinary Differential Equations Around an Ordinary Point

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Parametric Planar Curves: An Introduction

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The Difference Quotient and Differentiability

0:08:23

Concyclic Quadrilaterals Via Complex Numbers

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U Substitution: Example 2

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Power Series Expansions

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Limits of the Difference Quotient- Example 1