Mathematical Physics

Notes from Prof Robin Smith's Lectures

Part I
Introduction

• Introduction
  • What Will The Course Involve

Part II
Differential Equations

• Generation of Some Differential Equations
  • Single Independent Variables
  • Several Independent Variables
  • General Solution of Linear Partial Differential Equations that Contain Two Arbitary Independent Constants
  • Testng For Linear Independence
  • Notation
  • Solutions of Second Order Linear Homogenous Equations with Constant Coeficients
• Series Solutions of Differential Equations
  • Introduction
  • Some of The Differential Equations Of Mathematical Physics - 2 Dimesions
  • Method of Seperation of Variables
  • Reminder about Fourier Series
  • Wave on a String With Fixed Ends
  • d'Alemerts Solution to the Wave Equation
  • Vibration of a Rectangular Drum
  • The Heat Equation With Inhomogenous Boundary Conditions
  • Summary of Seperation of Variables
  • Orthogonal Functions
  • Partial Differential Equations (Other Than The Cartesian Coordinate System)
  • Laplace's Equation in Cyclindrical Polar Coordinates
  • Spherical Polor Coordinates
  • Series Solution of Differential Equations
  • The Gamma (or Factorial) Function

This document was translated from L^AT_EX by H^EV^EA and H^AC^HA.