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%2F0rJbJs0TWrJ5uTiqIvbS95TCmkD%2BQBB%2FO8mLk4X7jn3vtkOGzHDzoVS7m6JIjuw0sKw17pRhCGkMhAW3trEZxgVunFBmCxoLeTxgVahqjOE3K6kkHMvdC%2F1VU5mkkaJYV7UvRoulJiawz0EJO7XnSCe%2FJNshMrzmn3Dl1%2Ff%2FUFyIVYgPl%2Fs67Q0sQAAAA%3D%3D/rn54jNt8SWLtU2WUkTSuN2cSnPMMQYb9Ebxn91c8Vd4X2VhVGtuuzngXdqlm%2FPvyJ5AI6GRVCuCi1u3puRw0MuRB6V5TMj2TQmaejb5oGymsh4sL0OtmBRhyCYv%2FqUVHdEyehjr5J3z7mEtSPeNk%2BBIW5m2BWwQNqOxdSAN%2B5DeuqA65OGxdPKFGiVM2rZT24icXM0gpM%2B43FELnnNT4QVDS72qx6%2BPPs68ui0BzKg5QEYvUsywb8ZAoL%2FVvFsAreyZbWbhKrLGv0smSEV79UxnC0kcpuQ5hsgS%2Bigqcj6nitqfY%2Fqz4vV70YQmL%2BzfPbET4niVbkHtssU8cymJrKg%3D%3D