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Syllabus for

Academic year
LMA017 - Mathematical analysis in several variables  
Matematisk analys i flera variabler
 
Syllabus adopted 2021-02-26 by Head of Programme (or corresponding)
Owner: TIMAL
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: First-cycle
Major subject: Mathematics
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: English
Application code: 65126
Open for exchange students: Yes
Only students with the course round in the programme plan

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0101 Examination 7,5c Grading: TH   7,5c   26 Oct 2021 pm L,  03 Jan 2022 am L,  18 Aug 2022 pm L

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TKDAT COMPUTER SCIENCE AND ENGINEERING, Year 3 (elective)

Examiner:

Tatiana Shulman

  Go to Course Homepage


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.

Course specific prerequisites

The courses LMA401 Calculus and MVE580 Linear algebra and differential equations, or corresponding knowledge.

Aim

The aim of the course is to give basic knowledge in mathematical analysis in several variables. The course will also create qualification for mathematical treatment of technical problems in future profession and supply a good base for future studies.

Learning outcomes (after completion of the course the student should be able to)

  • be well acquainted with the elementary functions in several variables.
  • have good knowledge of the basic rules for calculating derivatives and integrals in several variables.
  • be able to calculate extreme values for surfaces in space.
  • be able to perform area, volume and center of mass calculations.
  • know the most common methods for solving partial differential equations.
  • be acquainted with vector fields and flow calculations.

Content

Differential geometry: parametric curves, tangent, polar coordinates, curvature. Functions of several variables: partial derivative, gradient, directional derivative, extreme value problems, Taylors formula, double and triple integrals, centre of mass, curve integrals, Greens formula, surface integrals. Vector fields, the divergence theorem, Stokes theorem. Partial differential equations.

Organisation

Instruction is given in lectures and exercise sessions. More detailed information will be given on the course web page before start of the course.

Literature

Literature will be announced on the course web page before start of the course.

Examination including compulsory elements

The examination is based on a written exam. Quizzes giving bonus points may be offered.

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 on educational support due to disability.


Page manager Published: Mon 28 Nov 2016.