Welcome to Mike the Mathematician's channel! Mike Dabkowski is a professor of Mathematics at the University of Michigan-Dearborn (he went to school there too!). Mike loves mathematics and loves sharing it with others. Mike did some graduate studies at Michigan State and earned a Ph.D. at the University of Wisconsin (On Wisconsin!).

This academic year, Mike is a visiting scholar at the University of Michigan- Ann Arbor (Go Blue!). (https://lsa.umich.edu/math/people/visiting/mgdabkow.html)

Flow Around a Cylinder with Joukowski's Transform
9:01
Flow Around a Cylinder with Joukowski's Transform
Examples of Complex Flows Around Corners
9:27
Examples of Complex Flows Around Corners
Streamlines of Irrotational and Sourceless Flows with Complex Potentials
10:55
Streamlines of Irrotational and Sourceless Flows with Complex Potentials
Sourceless and Irrotational Flows Via Holomorphic Functions
9:28
Sourceless and Irrotational Flows Via Holomorphic Functions
The Conformal Map to Center a Circle in an Annulus
11:39
The Conformal Map to Center a Circle in an Annulus
Joukowski's Mapping as a Conformal Mapping
11:08
Joukowski's Mapping as a Conformal Mapping
The Conformal Map w^2=z
9:44
The Conformal Map w^2=z
The Conformal Map w=z^2
10:44
The Conformal Map w=z^2
w=sin(z) as a Conformal Mapping
11:24
w=sin(z) as a Conformal Mapping
Logarithms as Conformal Mappings
7:52
Logarithms as Conformal Mappings
Exponentiation as a Conformal Mapping
9:45
Exponentiation as a Conformal Mapping
Inversion as a Conformal Mapping
10:54
Inversion as a Conformal Mapping
Affine Conformal Mappings
10:39
Affine Conformal Mappings
Conformal Mappings
9:56
Conformal Mappings
An Inverse Laplace Transform Represented by a Fourier Sine Series
10:12
An Inverse Laplace Transform Represented by a Fourier Sine Series
An Inverse Laplace Transform Represented by a Fourier Cosine
10:32
An Inverse Laplace Transform Represented by a Fourier Cosine
Bromwich Integral: An Example
12:26
Bromwich Integral: An Example
Bromwich Integrals With Only Poles
8:56
Bromwich Integrals With Only Poles
The Bromwich Integral and The Inverse Laplace Transform
13:36
The Bromwich Integral and The Inverse Laplace Transform
Analytic Continuation of the Laplace Transform to Right Half Planes
8:47
Analytic Continuation of the Laplace Transform to Right Half Planes
An Improper Integral Representation of Holomorphic Functions on Half Planes Source
10:58
An Improper Integral Representation of Holomorphic Functions on Half Planes Source
Finding Zeta(2) with Residues
12:54
Finding Zeta(2) with Residues
Evaluation of an Infinite Series with Residues
8:45
Evaluation of an Infinite Series with Residues
The Modulus of Cosine and Sine of Complex Numbers
10:35
The Modulus of Cosine and Sine of Complex Numbers
The Residue Theorem and Keyhole Contours
12:30
The Residue Theorem and Keyhole Contours
The Residue Theorem and Integrals with Logarithms
13:04
The Residue Theorem and Integrals with Logarithms
A Formula for the Inverse of a Univalent Function
8:35
A Formula for the Inverse of a Univalent Function
Injective Holomorphic Functions Have Non-vanishing Derivatives
7:45
Injective Holomorphic Functions Have Non-vanishing Derivatives
Hurwitz's Theorem
7:34
Hurwitz's Theorem
Rouche's Theorem and Perturbation of Polynomials
8:10
Rouche's Theorem and Perturbation of Polynomials