Math 244

Video Notes

This page contains links to notes (blank and filled in) for the collection of introduction videos that are available for Math 244. The entire playlist of videos can be found here. Each video will also be linked with the topic below.

Topic Blank Notes Filled Notes
General Solutions to Differential Equations Blank Notes Filled Notes
Slope Fields Blank Notes Filled Notes
Separable Equations Blank Notes Filled Notes
First Order Linear Equations Blank Notes Filled Notes
First Order Theory of Existence and Uniqueness Blank Notes Filled Notes
Euler's Method Blank Notes Filled Notes
First Order Autonomous Equations Blank Notes Filled Notes
Exact Equations Blank Notes Filled Notes
Solutions to Exact Equations Blank Notes Filled Notes
Introduction to Mathematical Modeling Blank Notes Filled Notes
Modeling with Differential Equations Blank Notes Filled Notes
Modeling Tank Problems Blank Notes Filled Notes
Types of Second Order Equations Blank Notes Filled Notes
Modeling with Second Order Equations Blank Notes Filled Notes
Theory of Second Order Equations Blank Notes Filled Notes
Complex Numbers and Second Order Equations Blank Notes Filled Notes
Second Order Equations with Repeated Roots Blank Notes Filled Notes
Mechanical Vibrations Blank Notes Filled Notes
Second Order NonHomogeneous Equations Blank Notes Filled Notes
Method of Undetermined Coefficients Blank Notes Filled Notes
Variation of Parameters Blank Notes Filled Notes
Modeling Forced Vibrations Blank Notes Filled Notes
Undamped Forced Vibrations Blank Notes Filled Notes
Higher Order Equations Blank Notes Filled Notes
Introduction to Systems Blank Notes Filled Notes
Vectors Blank Notes Filled Notes
Matrices Blank Notes Filled Notes
Matrices and Systems of Equations Blank Notes Filled Notes
Row Reduction Blank Notes Filled Notes
Process of Row Reduction Blank Notes Filled Notes
Subspaces and Spans Blank Notes Filled Notes
Linear Independence of Vectors Blank Notes Filled Notes
Determinants Blank Notes Filled Notes
Eigenvalues of Matrices Blank Notes Filled Notes
Finding Eigenvectors Blank Notes Filled Notes
Solutions to Systems of ODEs Blank Notes Filled Notes
Linear Systems of ODEs Blank Notes Filled Notes
Constant Coefficient Systems Blank Notes Filled Notes
Real and Distinct Eigenvalues Blank Notes Filled Notes
Complex Eigenvalues Blank Notes Filled Notes
Repeated Eigenvalues and Defective Eigenvalues Blank Notes Filled Notes
Theory of NonHomogeneous Systems Blank Notes Filled Notes
NonHomogeneous Systems by Diagonalization Blank Notes Filled Notes
Undetermined Coefficients and Variation of Parameters Blank Notes Filled Notes
Autonomous Non-Linear Systems Blank Notes Filled Notes
Linearization of Autonomous Systems Blank Notes Filled Notes
Behavior of Non-Linear Systems Blank Notes Filled Notes
Trajectories for Non-Linear Systems Blank Notes Filled Notes
Population Models Blank Notes Filled Notes
Nullclines of Non-Linear Systems Blank Notes Filled Notes

Topic Videos

The following videos are extra topic videos to fill in more details of these ideas. They are slightly more specific and advanced than the introductory videos.

Topic Blank Notes Filled Notes
Bifurcation Diagrams Filled Notes
General Reduction of Order Blank Notes Filled Notes
Combining Trigonometric Functions Blank Notes Filled Notes
Amplitude of the Forced Response Blank Notes Filled Notes
Matrices and Linear Transformations Blank Notes Filled Notes
Inverse Matrices Blank Notes Filled Notes
General Theory of Constant Coefficients Systems Blank Notes Filled Notes