Includes:

Basic Ideas and Definitions

Implicit and Explicit Solutions

Direction Fields

The Approximation Method

Separable Equations

Linear Equations

Compartmental Analysis

Heating and Cooling of Buildings

Includes:

Linear Algebraic Equations

Matrices and Vectors

Linear Systems in Normal Form

Homogeneous Systems

Complex Eigenvalues

Mass-Spring Oscillator

Homogeneous Linear Equations

Auxiliary Equations

Nonhomogeneous Equations

Superposition Principle

Includes:

A Mixing Problem

Definition of the Laplace Transformation

Properties of the Laplace Transformation

Inverse Laplace Transformation

Solving Initial Value Problems

Transformations of Discontinuous Functions

Convolutions

Periodic and Power Functions