Textbook

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%
Autonomous Planar Nonlinear Systems
0.00%
0.00%
0.00%
0.00%
0.00%
Bifurcation Theory
0.00%
0.00%
0.00%
The Continuous Flow Stirred Tank Reactor
0.00%
0.00%
Saddle-Node Bifurcations Revisited
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%
Higher Dimensional Systems
0.00%
0.00%
0.00%
MATLAB ODE
0.00%
0.00%
0.00%
0.00%
Linear Differential Equations
0.00%
Solving Systems in Original Coordinates
0.00%
Higher Order Equations
0.00%
Linear Differential Operators
0.00%
Undetermined Coefficients
0.00%
Periodic Forcing and Resonance
0.00%
Laplace Transforms
0.00%
The Method of Laplace Transforms
0.00%
Laplace Transforms and Their Computation
0.00%
Partial Fractions
0.00%
0.00%
RLC Circuits
0.00%
Additional Techniques for Solving ODEs
0.00%
Nonconstant Coefficient Linear Equations
0.00%
Variation of Parameters for Systems
0.00%
The Wronskian
0.00%
Higher Order Equations
0.00%
Simplification by Substitution
0.00%
Exact Differential Equations
0.00%
0.00%
Numerical Solutions of ODEs
0.00%
A Description of Numerical Methods
0.00%
Error Bounds for Euler’s Method
0.00%
Local and Global Error Bounds
0.00%
0.00%
Overall
0%

https://ximera.osu.edu/certificate/H4sIAAAAAAACA0WMTQrCMBCFryJZ22SaNqnNBbxA3bibdGZRbA3kBwri3U1WwoMH3%2Fv5iDceLJy4F0758kgcxVWUZk6c28ERZUhFMhXVaFJ2RtPfjKcBvPcjaLKzRaA6I8ztSoO2HQwd6AVGZ0yVnGB61sYaSkyto3YMxCrzmX0IrxrlLe8tWf4orSFWBN8fu4MgSKYAAAA%3D/UFmDVqEvjq9HMFb69s7YVSBXsFh1mnccfCrD%2BSvG%2Bajj1z9rizknpjTHNnVyLNrRUn%2F8JR2tgVQ0uGxatOzNrtqPWhqAZHoNnAQLHhHVItAK4XbV1cFQtCJabpusTQhzeIIAdduOHXm1sPPEDpPGFvRTwZfJp6kkEbfiR19Fx7fb%2BdmwBdN6yq7FSTyGV9lSyKfmSvrNyfRQrLA22ZzRyitK3iWfqlOjPQIKDhRuVKaOV7T4A7h2%2BWBqbPm8EjXRnxfKXXDgpba8kN%2BFOKOrM2aqFA%2Bqi2xubGvHq0nj5WwylQ2RcvdSi2EluaoknBHLiepVHZ%2FxuvNQiUvb7iHHRg%3D%3D