MA 266 - Spring 2021

Section 1.1 - Differential Equations and Mathematical Models

Section 1.2: Integrals as General and Particular Solutions

Section 1.3: Slope Fields and Solution Curves

Section 1.4: Separable Equations and Applications

Section 1.5 - Part 1: Linear First Order Equations

Section 1.5 - Part 2: Linear First Order Equations & Mixing Problems

Section 1.6 - Part 2: Substitution Methods and Exact Equations

Section 2.1: Population Models

Section 2.2: Equilibrium Solutions and Stability

Section 2.3: Velocity-Acceleration Models

Section 2.4 + 2.5: Numerical Approximations

Section 3.1: Introduction to 2nd Order Linear Equations

Section 3.2:  General Solutions of Linear Equations

Section 3.3 - Part 1: Homogeneous Equations with Constant Coefficients

Section 3.3 - Part 2: Homogeneous Equations with Constant Coefficients

Section 3.4: Mechanical Vibrations

Section 3.5 - Part 1: Nonhomogeneous Equations and Undetermined Coefficients

Variation of Parameters and details of Project #1.

Section 3.6 - Forced Oscillations and Resonance

Section 4.1: First Order Systems and Applications

Section 4.2: The Method of Elimination

Section 5.1 - Matrices and Linear Systems

Section 5.2 - Part 1: The Eigenvalue Method

Section 5.2 - Part 2: The Eigenvalue Method

Section 5.5: Multiple Eigenvalues

Section 5.3: A Gallery of Solution Curves

Section 5.6: Matrix Exponentials

Section 5.7 - Part 1: Nonhomogeneous Linear Systems

Review for Midterm 2

Section 7.2: Transformation of Initial Value Problems

Section 7.3: Translation and Partial Fractions

Section 7.4: Integrals, Derivatives, and Products of Transforms

Section 7.5: Piecewise Continuous Input Functions

Section 7.6: Impulses and Delta Functions

MA 266 - Spring 21 - Final Exam Review