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

  • Electrical Circuits


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