Course notes

Preliminary matter

Outline

Preface

Introduction

Part I. First order equations

Cooling objects

Complex numbers

Periodic input

Euler's method

Other numerical methods of solution

Part II. Second order equations

Homogeneous equations

Inhomogeneous equations

Resonance

Summary of second order

Part III. Systems of differential equations

Review of eigenvalues and eigenvectors

Linear systems in detail

Weights on springs

Part IV. Fourier series

Introduction to frequency analysis

Fourier series

Part V. Partial differential equations

Introduction to partial differential equations

Heat flow