Maths Study Skills

These materials were created to provide extra support with Mathematics for Engineering students. These were produced by Dr Joe Gildea and Loukas Zagkos.

Below are links to the PDF file (for each chapter) and to recording(s) for each chapter. These notes/recordings include many worked examples and exercises (with answers).

• Chapter 1 - Matrices (PDF)
  1. Matrix addition and subtraction
  2. Multiplication of matrices
  3. The inverse of a matrix
  4. Solving equations using matrices
• Chapter 2 - Eigenvalues and Eigenvectors (PDF)
  1. Eigenvalues and Eigenvectors
  2. Eigenvalues and Eigenvectors Complementary
• Chapter 3 - Differentiation (PDF)
  1. Limits
  2. Derivative on first principles
  3. Basic Rules of Differentiation
  4. Implicit Differentiation
  5. Stationary points
• Chapter 4 - Integration (PDF)
  1. Integration by parts
  2. Integration by substitution
  3. Partial fractions
  4. Trigonometric integrals
  5. Definite integrals
• Chapter 5 - Differential Equations (PDF)
  1. First order separable ODEs
  2. First order linear ODEs
  3. Basic Rules of Differentiation
  4. Second order with constant coefficients
• Chapter 6 - Complex Numbers (PDF)
  1. Complex Numbers
• Chapter 7 - Vectors (PDF)
  1. Vectors
• Chapter 8 - Partial Differentiation (PDF)
  1. Partial Differentiation
• Chapter 9 - Gauss Elimination (PDF)
  1. Gauss Elimination
• Chapter 10 - Sequences Series (PDF)
  1. Sequences Series
• Chapter 11 - Trigonometric Equations and Identities (PDF)
  1. Trigonometric Equations and Identities