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Overview

Mathematical Analysis 2 is a 9 CFU course, part of the Engineering Sciences bachelor course. These pages contain the practical details related to the course.

Instructors:

Teams code: ojz9mnk (use this to join on Microsoft Teams)

Classroom: Aula 8

Lecture notes

A pdf of lecture notes is available for download. This text will be updated as the course progresses. As such, text corresponding to lectures which have not yet been delivered should be considered as a draft and subject to change.

If you wish to have a reference book, we recommend Mathematical Analysis II by Canuto and Tabacco.

General advice

  • Develop your intuition, it's a powerful skill – But don’t trust it completely
  • Don’t aim to memorize but rather seek to understand – It is easy to remember anything when you understand it.
  • Question always, be skeptical of all statements presented to you. Don’t accept them until you are sure they are believable.
  • Observe, question how everything fits together, notice all the details.
  • Part of the process of mathematical reasoning is creative - to be creative we must drop our inhibitions and be ready to be wrong, repeatedly.

Schedule

See the lesson diary for full details.

What is MA2?

Much of what we do in this course builds on ideas established in Mathematical Analysis 1. In particular many of the ideas are extended to the higher dimensional setting.

Mathematical Analysis 1Mathematical Analysis 2
(Functions)f:RRf:RnR (Scalar fields)
F:RnRn (Vector fields)
α:RRn (Paths)
(Derivative)f(x)=dfdx(x)fxj(x1,,xn) (Partial derivatives)
f (Gradient)
Dvf (Directional derivative)
α (Derivative of path)
Df (Jacobian matrix)
F (Divergence)
×F (Curl)
(Extrema)supxRf(x)supxRnf(x) (Extrema)
Lagrange multiplier method
Integralabf(x) dxMultiple integral
Line integral
Surface integral

Additional info

Course material from previous years and other instructors is available.