Susan Brooks

Transformation of Initial Value Problems, Part II

Transformation of Initial Value Problems, Part I

Linear and Almost Linear Systems

Nonhomogeneous Equations and Undetermined Coefficients, Part II

Nonhomogeneous Equations and Undetermined Coefficients, Part I

Mechanical Vibrations

General Solutions of Linear Equations

Introduction: Second-Order Linear Equations

Numerical Approximation: Euler's Method

Acceleration-Velocity Models

Equilibrium Solutions and Stability

Population Models, Part II

Population Models, Part I

Substitution Methods and Exact Equations, Part II

Substitution Methods and Exact Equations, Part I

Linear First-Order Equations

Separable Equations and Applications

Slope Fields and Solution Curves

Differential Equations and Mathematical Models

Stokes' Theorem

The Divergence Theorem

Applications of Surface Integrals: Flux

Surface Integrals

Independence of Path; Conservative Vector Fields

Line Integrals

Vector Fields

Change of Variables in Multiple Integrals; Jacobians

Triple Integrals in Cylindrical and Spherical Coordinates

Surface Area; Parametric Surfaces

Triple Integrals