Mathematical Analysis 2

Appearance

Lecture diary ​

Week 1 ​

  • Mon 29/9/25, 14:00-15:45: Overview of the course, MA1 vs MA2, why are we here, higher dimension, vector fields, etc. (Butterley)
  • Wed 1/10/25, 09:30-11:15: Directional derivatives of scalar fields, partial derivatives (Butterley)
  • Fri 3/10/25, 11:30-13:15: Domains in higher dimensions, directional derivatives, partial derivatives and gradients (Butterley)

Week 2 ​

  • Mon 6/10/25, 14:00-15:45: Chain rule for scalar fields, level sets, gradient and tangent lines (Butterley)
  • Wed 8/10/25, 09:30-11:15: Chain rule, applications to differentiations, Jacobian matrix (Butterley)
  • Wed 8/10/25, 11:30-13:15: Jacobian matrix, chain rule for vector fields, implicit functions, higher partial derivatives (Butterley)

Week 3 ​

  • Mon 13/10/25, 14:00-15:45: Stationary points of a scalar field (Butterley)
  • Wed 15/10/25, 09:30-11:15: Classification of stationary points, the Hessian matrix (Butterley)
  • Wed 15/10/25, 11:30-13:15: Various examples of finding extrema of scalar fields and Taylor expansion (Butterley)

Week 4 ​

  • Mon 20/10/25, 14:00-15:45: Class cancelled (Butterley)
  • Wed 22/10/25, 09:30-11:15: Class cancelled (Butterley)
  • Wed 22/10/25, 11:30-13:15: Class cancelled (Butterley)

Week 5 ​

  • Mon 27/10/25, 14:00-15:45: Lagrange multiplier method (intro, geometric intuition) (Butterley)
  • Wed 29/10/25, 09:30-11:15: Lagrange multiplier method (further examples) (Butterley)
  • Wed 29/10/25, 11:30-13:15: Lagrange multiplier method (higher dimensional examples) (Butterley)

Week 6 ​

  • Mon 3/11/25, 14:00-15:45: Line integrals (intro, definition of line integral of a vector field and a scalar field) (Butterley)
  • Wed 5/11/25, 09:30-11:15: Line integrals (various examples, 2nd and 1st fundamental theorems) (Butterley)
  • Fri 7/11/25, 11:30-13:15: Class cancelled (Butterley)

Week 7 ​

  • Mon 10/11/25, 14:00-15:45: Line integrals (Butterley)
  • Wed 12/11/25, 09:30-11:15: Line integrals (Butterley)
  • Fri 14/11/25, 11:30-13:15: Line integrals (Butterley)

Week 8 ​

  • Mon 17/11/25, 14:00-15:45: Multiple integrals (Butterley)
  • Wed 19/11/25, 09:30-11:15: Multiple integrals (Butterley)
  • Fri 21/11/25, 11:30-13:15: Multiple integrals (Butterley)

Week 9 ​

  • Mon 24/11/25, 14:00-15:45: Multiple integrals (Butterley)
  • Wed 26/11/25, 09:30-11:15: Multiple integrals (Butterley)
  • Fri 28/11/25, 11:30-13:15: Multiple integrals (Butterley)

Week 10 ​

  • Mon 1/12/25, 14:00-15:45: Surface integrals (Butterley)
  • Wed 3/12/25, 09:30-11:15: Surface integrals (Butterley)
  • Fri 5/12/25, 11:30-13:15: Surface integrals (Butterley)

Week 11 ​

  • Mon 8/12/25, 14:00-15:45: Class cancelled (due to dubious concepts of conception) (Butterley)
  • Wed 10/12/25, 09:30-11:15: Surface integrals (Butterley)
  • Fri 12/12/25, 11:30-13:15: Surface integrals (Butterley)

Week 12 ​

  • Mon 15/12/25, 14:00-15:45: Surface integrals (Butterley)
  • Wed 17/12/25, 09:30-11:15: Surface integrals (Butterley)
  • Fri 19/12/25, 11:30-13:15: Surface integrals (Butterley)