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Lecture diary

Week 1

  • 25/09/2023, 14:00-15:45: Mathematical reasoning (models, rigour, statements)
  • 27/09/2023, 09:30-11:15: Cancelled
  • 27/09/2023, 16:00-17:45: Mathematical reasoning (structure of proofs, checking proofs)

Week 2

  • 02/10/2023, 14:00-15:45: Mathematical reasoning (negation, quantifiers)
  • 04/10/2023, 09:30-11:15: Mathematical reasoning (optimality of statements, why analysis)
  • 05/10/2023, 16:00-17:45: Cancelled

Week 3

  • 09/10/2023, 14:00-15:45: Higher dimension (partial derivatives, gradient, directional derivative)
  • 11/10/2023, 09:30-11:15: Higher dimension (chain rule, Jacobian matrix)
  • 11/10/2023, 16:00-17:45: Cancelled

Week 4

  • 16/10/2023, 14:00-15:45: Cancelled
  • 18/10/2023, 11:30-13:15: Higher dimension (level sets, tangent planes, implicit differentiation)
  • 18/10/2023, 16:00-17:45: Higher dimension (open sets, continuity, differentiability)

Week 5

  • 23/10/2023, 14:00-15:45: Extrema (extrema, stationary points, finding extrema, Hessian)
  • 24/10/2023, 10:00-11:45: Extrema (classifying extrema, Hessian, attaining extrema) [ONLINE]
  • 25/10/2023, 09:30-11:15: Extrema (stationary point example, Lagrange multiplier)

Week 6

  • 30/10/2023, 14:00-15:45: Midterm 1
  • 31/10/2023, 10:00-11:45: Extrema (Lagrange multiplier example, solutions of Midterm 1) [ONLINE]
  • 1/11/2023, 09:30-11:15: Cancelled (all saints day)

Week 7

  • 6/11/2023, 14:00-15:45: Line intergrals (curves & paths, line integrals of scalar and vector fields)
  • 9/11/2023, 10:00-11:45: Line intergrals (line integrals, evaluation, fundamental theorems) [ONLINE]
  • 8/11/2023, 09:30-11:15: Line intergrals (fundamental theorems, conservative vector fields)

Week 8

  • 13/11/2023, 14:00-15:45: Line intergrals (constructing potentials, identifying conservative vector fields)
  • 14/11/2023, 10:00-11:45: Line intergrals (worked examples, finding paramatrization, geometric meaning of line integrals) [ONLINE]
  • 15/11/2023, 09:30-11:15: Line intergrals (worked examples of line integrals and extrema)

Week 9

  • 20/11/2023, 14:00-15:45: Midterm 2
  • 21/11/2023, 10:00-11:45: Solutions to Midterm 2 [ONLINE]
  • 22/11/2023, 09:30-11:15: Multiple integrals (Introduction, integrability on rectangles, Fubini's theorem and iterative integration)

Week 10

  • 27/11/2023, 14:00-15:45: [CANCELLED] Multiple integrals
  • 29/11/2023, 09:30-11:15: Multiple integrals (general regions)
  • 30/11/2023, 10:00-11:45: Multiple integrals (change of variables) [ONLINE]

Week 11

  • 4/12/2023, 14:00-15:45: Multiple integrals (exercises)
  • 6/12/2023, 09:30-11:15: Surface integrals (parameterization of surfaces, fundamental vector product, area of a surface)
  • 7/12/2023, 10:00-11:45: Surface integrals (integrating scalar and vector fields over surfaces, flux and flow) [ONLINE]

Week 12

  • 11/12/2023, 14:00-15:45: Green's theorem, divergence and curl
  • 12/12/2023, 10:00-11:45: Stokes' theorem and Gauss' theorem [ONLINE]
  • 13/12/2023, 09:30-11:15: Exercises on surface integrals

Week 13

  • 18/12/2023, 14:00-15:30: Midterm 3
  • 19/12/2023, 14:00-15:45: Solutions to Midterm 3 [ONLINE]