07:27
2x2 and 3x3 Determinants
08:32
Projections and Reflection onto a Line in Two Dimensional Space
07:45
Rotation Matrices in Two Dimensional Space
07:00
Linear Transformations and Their Corresponding Matrix
10:45
Elementary Matrices
08:44
Permutation Matrices
08:49
An Elementary Example of the Jordan Canonical Form
06:17
Finding the Inverse of a Matrix using a Polynomial Relationship
07:56
Balancing the Chemical Equation for the Burning of Propane
06:38
Balancing the Chemical Equation for the Burning of Methane
07:18
Balancing the Chemical Equation for Photosynthesis
05:39
Properties of the Matrix Inverse: Transpose and Production Rules
06:04
The Inverse of a 3x3 Matrix: An Example
07:03
Matrix Inversion
09:25
Properties of Matrix Multiplication
10:51
Matrix Multiplication: An Introduction
10:03
Finding the Basis of the Null Space of a 4x5 Matrix
05:36
Homogeneous Linear Systems
08:04
Matrices as Linear Mappings
07:29
Examples of Classes of Matrices Zero, Identity, Hankel and Toeplitz
07:49
Matrix Addition, Scaling and Transposing Operations
11:15
The Fast Fourier Transform
07:21
Discrete Fourier Inversion
07:36
The Discrete Fourier Transform
07:18
The nth Roots of Unity
07:29
The Fisher Information for a Cauchy Distribution
08:17
The Sample Variance is an Asymptotically Efficient Estimator
07:09
The Rank of a Matrix
10:48
Gaussian Elimination
08:49
Row Echelon Form and Reduced Row Echelon Form
09:18
Consistent and Inconsistent Linear System and Elementary Row Operations
10:55
Linear Equations in High Dimensional Spaces
06:53
Viviani's Theorem on Equilateral Triangles
06:22
The Sample Mean is an Efficient Estimate of the Population Mean of a Normal Random Variable
07:20
Heaviside's Theorem on Partial Fractions with Distinct Roots
07:42
The Fisher Information: Two Formulations
10:15
The Cramer-Rao Inequality
07:37
The Jacobi Theta Function and Relationships to the Riemann Zeta Function
07:13
Integral Representations of the Riemann Zeta Function
06:39
The Shannon Sampling Theorem
07:26
The Schrodinger Equation for a Free Particle: The Solution Via the Fourier Transform
07:37
The Laplace Equation on the Upper Half Space
09:00
The Heisenberg Uncertainty Principle
09:20
The Initial Value Problem for the Heat Equation on the Real Line
07:09
The Wave Equation on the Real Line Via the Fourier Transform
06:24
Poisson Summation and an Infinite Expansion for tan(ax)
08:57
The Poisson Summation Formula
07:01
The Plancherel Theorem
07:05
The Exponential of a Matrix with a Repeated Eigenvalue: The 2 by 2 case.
10:26
The Dirichlet Problem for the Heat Equation on an Interval
07:35
The Poisson Kernel on the Upper Half Space
07:29
Monte Carlo Integration
09:47
Fourier Inversion Formula
10:58
The Fourier Transform Step Functions and Tent Functions
09:09
Polarization In A Complex Inner Product Space and the Parseval Theorem
08:51
Decay Estimates for Fourier Coefficients
06:30
Absolute Convergence of Fourier Coefficients Implies Fourier Series Convergence
07:51
The Fourier Transform of a Gaussian Function
07:49
The Fourier Transform: Modulation and Differentiation Properties
11:20
The Isoperimetric Inequality
X
About
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!).
Mike is the Director of Math Corps U(M)-Dearborn (@MathCorps), coach of the UM-Dearborn Math Competition Team, and co-advisor to the Actuarial Math majors at UM-Dearborn.
Tags