Linear Algebra

Preface
0.00%
Preliminaries
0.00%
Vectors and Matrices
0.00%
MATLAB
0.00%
Special Kinds of Matrices
0.00%
The Geometry of Vector Operations
0.00%
Solving Linear Equations
0.00%
0.00%
The Geometry of Low-Dimensional Solutions
0.00%
0.00%
0.00%
Linear Equations with Special Coefficients
0.00%
Uniqueness of Reduced Echelon Form
0.00%
Matrices and Linearity
0.00%
0.00%
Matrix Mappings
0.00%
0.00%
The Principle of Superposition
0.00%
0.00%
0.00%
0.00%
Determinants of 2 × 2 Matrices
0.00%
Solving Ordinary Differential Equations
0.00%
A Single Differential Equation
0.00%
Graphing Solutions to Differential Equations
0.00%
Phase Space Pictures and Equilibria
0.00%
Separation of Variables
0.00%
Uncoupled Linear Systems of Two Equations
0.00%
Coupled Linear Systems
0.00%
The Initial Value Problem and Eigenvectors
0.00%
Eigenvalues of 2 × 2 Matrices
0.00%
Initial Value Problems Revisited
0.00%
0.00%
Vector Spaces
0.00%
Vector Spaces and Subspaces
0.00%
Construction of Subspaces
0.00%
0.00%
0.00%
Dimension and Bases
0.00%
0.00%
Closed Form Solutions for Planar ODEs
0.00%
The Initial Value Problem
0.00%
Closed Form Solutions by the Direct Method
0.00%
Solutions Using Matrix Exponentials
0.00%
Linear Normal Form Planar Systems
0.00%
Similar Matrices
0.00%
Formulas for Matrix Exponentials
0.00%
Second Order Equations
0.00%
Qualitative Theory of Planar ODEs
0.00%
Sinks, Saddles, and Sources
0.00%
Phase Portraits of Sinks
0.00%
Phase Portraits of Nonhyperbolic Systems
0.00%
Determinants and Eigenvalues
0.00%
Determinants
0.00%
Eigenvalues
0.00%
Existence of Determinants
0.00%
Linear Maps and Changes of Coordinates
0.00%
Linear Mappings and Bases
0.00%
0.00%
0.00%
0.00%
Orthogonality
0.00%
0.00%
0.00%
Least Squares Fitting of Data
0.00%
Symmetric Matrices
0.00%
0.00%
Matrix Normal Forms
0.00%
0.00%
0.00%
0.00%
0.00%
Markov Matrix Theory
0.00%
Proof of Jordan Normal Form
0.00%
Overall
0%

https://ximera.osu.edu/certificate/H4sIAAAAAAACA0WMPQ%2FCIBRF%2F0rDbAsFoS1bJxdHXdxe4cWQ0JLwkZgY%2F7vg4nSTe869b3LAjkSTS8GUu3vCSE6ktNDk5XaMMIRUBrSFtjZRBQJxEmDEgnYS42gXaWDe6sxCbleccdUz1XN140xLqcU4nGf%2BqIYJJabmUA%2FBIvXuQIirf%2BIWofLssm%2F4%2Buu7P0gmxArY5wumnvMasQAAAA%3D%3D/jSJpBLEj3Gbl2BIqQ3PWUmKodDOkxvdS%2FAw37KjqTtO4RRHHq7ykx0jBB8b1B2a6y1Lp3PFK8E0wWCYdHBRxUfAEtczp9HCcnKIHUEVZSstZlTCEwKHDo%2BAm3lSTf8qovcZ69a5z%2F%2BvK7fA5IAWMRiBsbK2p%2BOGGny9pbOwAWBHxPxJVPHvf0YU%2F%2B1euEDEVvElqgZaKcY7ktzlmdyC%2B01JEDbEpr%2BigOFdYmXiG2XB4xTtvd6TJalwZ%2Fh4dXYpggkuN0Try2JGctX25HZ%2FWCrPg7rnCA55ptjB0hY7k%2ByVMo50qAu3Fxw2UmtIRR6518KQXELwKCxtfMGBtb6qB2A%3D%3D