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Graduate courses

Departments' graduate courses for PhD-students.

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Syllabus for

Academic year
LMA017 - Mathematical analysis in several variables
Matematisk analys i flera variabler
 
Syllabus adopted 2019-03-01 by Head of Programme (or corresponding)
Owner: TIMAL
7,5 Credits
Grading: TH - Five, Four, Three, Fail
Education cycle: First-cycle
Major subject: Mathematics
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: Swedish
Application code: 65112
Open for exchange students: No
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   29 Oct 2019 pm L,  07 Jan 2020 am L,  20 Aug 2020 am L

In programs

TIELL ELECTRICAL ENGINEERING - Common branch of study, Year 3 (compulsory elective)
TIELL ELECTRICAL ENGINEERING - Electrical Engineering, Year 3 (compulsory elective)
TIMAL MECHANICAL ENGINEERING - Machine Design, Year 3 (compulsory)
TIMEL MECHATRONICS ENGINEERING, Year 3 (elective)
TIEPL INDUSTRIAL MANAGEMENT AND PRODUCTION ENGINEERING, Year 3 (compulsory elective)
TKDAT COMPUTER SCIENCE AND ENGINEERING, Year 3 (elective)
TIDSL PRODUCT DESIGN ENGINEERING, Year 3 (compulsory elective)

Examiner:

Richard Lärkäng

  Go to Course Homepage


Eligibility:

In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.

Course specific prerequisites

The course Calculus or equivalent competence.

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.


Published: Wed 26 Feb 2020.