MATH 51: Differential Equations

Note 1 (Sec 1.1 - 1.2): First-Order Equations / Antiderivatives (Post)

Note 2 (Sec 1.3): Separable Equations (Post)

Note 3 (Sec 1.4): Linear Equations (Post)

Note 4 (Sec 1.5): One-Dimensional Dynamical Systems (Post)

Note 5 (Sec 2.1): Classical Mechanics (Post)

Note 6 (Sec 2.2): Equations with Constant Coefficients (Post)

Note 7 (Sec 2.3): Nonhomogeneous Equations (Post)

Note 8 (Sec 2.4): Equations with Variable Coefficients (Post)

Note 9 (Sec 3.1): Definition of Laplace Transforms and Their Basic Properties (Post)

Note 10 (Sec 3.2): Differential Equations (Post)

Note 11 (Sec 3.3): The Convolution Property (Post)

Note 12 (Sec 3.4): Impulsive Sources (Post)

Note 13 (Sec 4.1): Linear Systems vs. Second-Order Equations

Note 14 (Sec 4.2): Matrices and Linear Systems

Note 15 (Sec 4.2 - 4.3): Differential Equations and Equilibria / The Eigenvalue Problem

Note 16 (Sec 4.4): Solving Linear Systems; Real Unequal Eigenvalues

Note 17 (Sec 4.4): Solving Linear Systems; Complex Eigenvalues / Real, Equal Eigenvalues

Note 18 (Sec 4.5): Phase Plane Analysis

Note 19 (Sec 4.6): Nonhomogeneous Systems

Note 20 (Sec 5.1): Nonlinear Systems and Linearization