Mathematical Analysis 2

Appearance

Lecture diary ​

Week 1 ​

  • Mon 21/9/26, 14:00-15:45: Class cancelled. To be recovered in exercise sessions. (Radulescu)
  • Wed 23/9/26, 09:30-11:15: Class cancelled. To be recovered in exercise sessions. (Radulescu)
  • Fri 25/9/26, 11:30-13:15: Course overview and functions in higher dimensions (Radulescu)

Week 2 ​

  • Mon 28/9/26, 14:00-15:45: Open and closed sets; boundary (Radulescu)
  • Wed 30/9/26, 09:30-11:15: Limits and continuity (Radulescu)
  • Fri 2/10/26, 11:30-13:15: Directional and partial derivatives (Radulescu)

Week 3 ​

  • Mon 5/10/26, 14:00-15:45: Differentiability and gradient (Radulescu)
  • Wed 7/10/26, 09:30-11:15: Chain rule and level sets (Radulescu)
  • Fri 9/10/26, 11:30-13:15: Vector functions and Jacobian matrix (Radulescu)

Week 4 ​

  • Mon 12/10/26, 14:00-15:45: Chain rule for vector functions (Radulescu)
  • Wed 14/10/26, 09:30-11:15: Higher derivatives and Hessian (Radulescu)
  • Fri 16/10/26, 11:30-13:15: Taylor formula and local extrema (Radulescu)

Week 5 ​

  • Mon 19/10/26, 14:00-15:45: Line integrals (Radulescu)
  • Wed 21/10/26, 09:30-11:15: Line integrals, conservative fields and potentials (Radulescu)
  • Fri 23/10/26, 11:30-13:15: Multiple integrals: introduction (Radulescu)

Week 6 ​

  • Mon 26/10/26, 14:00-15:45: Definition and integrability (Bassi)
  • Wed 28/10/26, 09:30-11:15: Class cancelled, To be recovered in exercise sessions. (Radulescu)
  • Fri 30/10/26, 11:30-13:15: Double integrals on rectangles ( Bassi )

Week 7 ​

  • Mon 2/11/26, 14:00-15:45: Integration over general regions (Radulescu)
  • Wed 4/11/26, 09:30-11:15: Changing the order of integration (Radulescu)
  • Fri 6/11/26, 11:30-13:15: Triple integrals (Radulescu)

Week 8 ​

  • Mon 9/11/26, 14:00-15:45: Volumes and applications (Radulescu)
  • Wed 11/11/26, 09:30-11:15: Mass and centre of mass (Radulescu)
  • Fri 13/11/26, 11:30-13:15: Green's theorem (Radulescu)

Week 9 ​

  • Mon 16/11/26, 14:00-15:45: Green's theorem: applications (Radulescu)
  • Wed 18/11/26, 09:30-11:15: Change of variables (Radulescu)
  • Fri 20/11/26, 11:30-13:15: Polar coordinates (Radulescu)

Week 10 ​

  • Mon 23/11/26, 14:00-15:45: Change of variables: examples (Radulescu)
  • Wed 25/11/26, 09:30-11:15: Cylindrical and spherical coordinates (Radulescu)
  • Fri 27/11/26, 11:30-13:15: Multiple integrals: exercises and review (Radulescu)

Week 11 ​

  • Mon 30/11/26, 14:00-15:45: Surfaces and parametrizations (Bassi)
  • Wed 2/12/26, 09:30-11:15: Tangent vectors and surface area (Bassi)
  • Fri 4/12/26, 11:30-13:15: Scalar surface integrals (Bassi)

Week 12 ​

  • Mon 7/12/26, 14:00-15:45: Vector surface integrals and flux (Bassi)
  • Wed 9/12/26, 09:30-11:15: Curl and divergence (Bassi)
  • Fri 11/12/26, 11:30-13:15: Stokes' theorem (Bassi)

Week 13 ​

  • Mon 14/12/26, 14:00-15:45: Stokes' theorem: examples (Bassi)
  • Wed 16/12/26, 09:30-11:15: Gauss' divergence theorem (Bassi)
  • Fri 18/12/26, 11:30-13:15: Gauss' theorem: examples (Bassi)

Week 14 ​

  • Mon 21/12/26, 14:00-15:45: Surface integrals: exercises and review (Bassi)
  • Wed 23/12/26, 09:30-11:15: Christmas holiday
  • Fri 25/12/26, 11:30-13:15: Christmas holiday

Week 15 ​

  • Mon 28/12/26, 14:00-15:45: Christmas holiday
  • Wed 30/12/26, 09:30-11:15: Christmas holiday
  • Fri 1/1/27, 11:30-13:15: Christmas holiday

Week 16 ​

  • Mon 4/1/27, 14:00-15:45: Christmas holiday
  • Wed 6/1/27, 09:30-11:15: Epiphany
  • Fri 8/1/27, 11:30-13:15: Review: extrema and line integrals (Bassi)

Week 17 ​

  • Mon 11/1/27, 14:00-15:45: Review: multiple integrals (Bassi)
  • Wed 13/1/27, 09:30-11:15: Review: surface integrals (Bassi)
  • Fri 15/1/27, 11:30-13:15: General review and exam preparation (Bassi)