Course syllabus adopted 2025-02-18 by Head of Programme (or corresponding).
Overview
- Swedish nameMatematisk analys, fortsättning
- CodeTMA976
- Credits6 Credits
- OwnerTKTFY
- Education cycleFirst-cycle
- Main field of studyMathematics, Engineering Physics
- DepartmentMATHEMATICAL SCIENCES
- GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Course round 1
- Teaching language Swedish
- Application code 57116
- Open for exchange studentsNo
- Only students with the course round in the programme overview.
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0105 Examination 6 c Grading: TH | 6 c |
In programmes
Examiner
Michael Björklund- Professor, Analysis and Probability Theory, Mathematical Sciences
Eligibility
General entry requirements for bachelor's level (first cycle)Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Specific entry requirements
The same as for the programme that owns the course.Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Aim
The course provides basic knowledge of the fundamental theories within mathematical physics
Learning outcomes (after completion of the course the student should be able to)
After a completed course, the student should have acquired basic skills concerning convergence and approximation methods in analysis, and a good understanding how these methods can be applied in certain settings.
Content
Ordinary differential equations: linear equations of the first order, separable equations, linear differential equations of arbitrary order with constant coefficients. Taylor's formula, computation of limits, l'Hospital's rules. Integral comparisons.. Sequences, series, power series, convergence criteria, solution of differential equations by means of power series. Uniform convergence of function sequences and function series. Some topological concepts for Euclidean spaces.
Organisation
Lectures and exercises.
Literature
A. Persson, L.-C. Böiers: Analys i en variabel, Studentlitteratur, Lund. A. Persson, L.-C. Böiers: Analys i flera variabler, Studentlitteratur, Lund. Övningar till Analys i en variabel, Matematiska institutionen, Lunds tekniska högskola. Övningar till Analys i flera variabler, Matematiska institutionen, Lunds tekniska högskola. F. Eriksson, E. Larsson, G. Wahde: Matematisk analys med tillämpningar, del 3. OTHER LITERATURE L. Råde, B. Westergren: BETA - Mathematics Handbook, Studentlitteratur, Lund.
Examination including compulsory elements
A written examination.
The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers about disability study support.