Lecture notes for Applicable Maths 1a 2009/10 (matrices)

maths1a_matrices.pdf

Lecture notes for Applicable Maths 2b, 2006/7 and 2007/8

maths2b_2007_1.pdf

• Order and degree
• Example physical systems (1st and 2nd order)
• Direct integration and separation of variables
• Homogeneous linear differential equations
• Second order linear differential equations

maths2b_2007_2.pdf

• Homogeneous first order ODEs
• Exact differentials
• Integrating factor

maths2b_2007_3.pdf

• Non-homogeneous first order ODEs

maths2b_2007_4.pdf

• Linear second order differential equations
• Resonance
• Higher order linear differential equations

maths2b_2007_tutorial.pdf

• Tutorial questions on linear second order ODEs

maths2b_2007_tutorial-solutions.pdf

• Tutorial solutions

Exam solutions for Applicable Maths 1a, 2008/9

Answers to the matrix questions for the December 2008 and August 2009 exams.

Exam solutions for Applicable Maths 2b, 2006/7, 2007/8 and 2008/9

Answers to my questions on Ordinary Differential Equations in the time domain June 2007, August 2007, June 2008 and August 2008 exams and on Laplace and Fourier transforms in the May 2009 exam. .

Answers to some of Dr. Gollee's previous exam questions (Laplace and Fourier transforms).

Exam solutions for Aerospace Maths AE2Y (complex analysis) 2008/9

Answers to the May 2009 exam on complex analysis.