10Persp.pdfThis page includes information about aim and learning outcomes, teachers, literature, examination, examination procedures, old exams and course evaluation. The program for all teaching sessions can be found on a separate page (Course syllabus).

Aim and learning outcomes

The course consists basically of lectures following slides that will successively be posted on this homepage. The theme is historical trends in mathematics (geometry, analysis, foundations ...) starting in ancient times and hopefully leading up to modern theory and applications.

In the later parts of the course you will be asked to write an essay -- possibly in collaboration with one or two fellow students -- on a subject related to the course.

Changes compared to the last occasion

So far no changes

Teachers

Examiner: Bo Berndtsson

Lecturer: Bo Berndtsson

Teaching assistants: -

Lab supervisors: -

Tillbaka till toppen

Course literature

As general background references I propose

'What is mathematics' by R Courant and H Robbins

and

' Mathematics in Technology' by C Rosseau and Y Saint-Aubin.

test

First set of slides 1Persp.pdf, about Euclidean, non-Euclidean and Riemannian geometry.

Second set of slides Ny2Persp.pdf, about analytic geometry and Hilbert space.

Third set of slides 3Persp.pdf, about calculus.

Fourth set of slides 8Persp.pdf, about solvability of algebraic equations.

Fifth set of slides 4Persp.pdf , about complex analysis and Fourier analysis.

Sixth set of slides about rigour and metamathematics, 5Persp.pdf

Seventh set of slides on Google and the Perron-Frobenius theorem, Ny6Persp.pdf

eighth set of slides on number theory and public key cryptography, 7Persp.pdf

nine:th set of slides on data compression, compressed sensing and the geometry of Banach spaces, 10Persp-1.pdf

Tillbaka till toppen

Examination

One part of the examination is based on active participation in the course during the lectures -- which are compulsory. Participants should also write a short essay and present it in class. The topic of the essay can be chosen rather freely, but should be approved beforehand. The length of the essay is between 5 and 10 pages, and the presentation should take 20-30 minutes. Historical essays are fine, but even if the essay is mainly historical, it should preferably have a serious mathematical content.

Tillbaka till toppen

Examination procedures

In Chalmers student portal you can read about what rules apply when writing exams at Chalmers campus. There is a schedule when and where the exams are given.

Before the exam, it is important that you sign up for the examination. You sign up through Ladok.

At the exam, you should be able to show valid identification.

After the exam has been graded, you can see your results in Ladok.

At the annual (regular) examination:
When it is practical, a separate review is arranged. The date of the review will be announced here on the course homepage. Anyone who can not participate in the review may thereafter retrieve and review their exam at the Mathematical sciences student office. Check that you have the right grades and score. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

At re-examination:
Exams are reviewed and retrieved at the Mathematical sciences student office. Check that you have the right grades and score. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

Tillbaka till toppen

Course evaluation

At the beginning of the course, at least two student representatives should have been appointed to carry out the course evaluation together with the teachers. The evaluation takes place through conversations between teachers and student representatives during the course and at a meeting after the end of the course when the survey result is discussed and a report is written.

Student representatives

The following students have been appointed:

Tillbaka till toppen

Old exams

Tillbaka till toppen

Program

The program can be found on the Course syllabus.

Tillbaka till toppen