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/H4sIAAAAAAACA0WMPQvCMBRF%2F0rJbJP0WVuTrZOLoy5ur82rBNIG8gGC%2BN9NXJwu3HPufbMdN2KaXTLF1NwjBXZguYZmL7tRQO5j5mSyqG0Ug1JqGdVoaO279YhgFMyzOZeZwVSvQMLQSmihu3W9Pg0aFAeQj2IsPodYHeHQGxLO7oRhck%2BaAxaebHIVX3998wdx8aEA%2BfkCEBe4drEAAAA%3D/yx%2FczELagfj2qwg4kOC%2BsrjS0qj%2FFPSYqLdMewnDzq8XFX5vn9Mj6f3KSb%2FSvAzelHqiDqrpWAsVS7j8OtnHEtXPztYqrf%2BHAP2juekdc9RLQDyTfztd5QdoRjnA%2BnMIlwcNQjwGuE56a3vEtn4zEwwbT2f%2BiJUe8EO9gzjt5HvI3Hh%2FnX5yTcehcuSH3pbz9yYgKBjmSzm5indLigI28sU4D1ks3RE3UCbymowGKkp%2FxvQ7DFNBZEdFYhspvnimggB44cNWXRgr5aLI%2Bb9dyH9qsW36NxEu6ohrmlBu6C8AVrGY70tIKd4rY8FUhqELhZmkCjEmva7QhirSFnOKGA%3D%3D