Y1 Physical Mathematics 2A

• Introductory material

  • Contact details
  • Recommended books
  • Syllabus

• Additional handouts (individual scanned pages - gif format)

  • Double Integration over Area
  • Methods for Solving First-Order ODEs
  • Integrating Factor Method
  • Complementary Function and Particular Integral Method
  • Diagram for Problem 3.7(b) (LR Electric Circuit)
  • Method for Solving Second-Order Linear ODEs
  • Physical Example of Second-Order Linear ODE
  • Definitions of First and Second Partial Derivatives
  • Small Changes Formula
  • Chain Rule for Partial Differentiation
  • Tangent, Normal and Gradient Vectors

• Problem sheets

  • Sheet 1: Methods of Integration
  • Sheet 2: Applications of Integration
  • Sheet 3: First-Order Ordinary Differential Equations
  • Sheet 4: Second-Order Linear Differential Equations
  • Sheet 5: Partial Differentiation

• Worked solutions to non-assessed problems

  • Sheet 1: Methods of Integration
  • Sheet 2: Applications of Integration
  • Sheet 3: First-Order Ordinary Differential Equations
  • Sheet 4: Second-Order Linear Differential Equations
  • Sheet 5: Partial Differentiation

• Past examination papers (includes sheets of Standard Mathematical Formulae)

  • 2004-5
  • 2003-4
  • 2002-3
  • 2000-1 (Mathematics for Physicists 2A, with slightly different syllabus)

• External web pages

  • Here is a link to an external website that contains a lot of useful information and examples on basic mathematical techniques.