Syllabus for |
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LMA017 - Mathematical analysis in several variables
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| Matematisk analys i flera variabler |
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| Syllabus adopted 2020-02-27 by Head of Programme (or corresponding) |
| Owner: TIMAL |
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7,5 Credits
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| Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail |
| Education cycle: First-cycle |
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Major subject: Mathematics
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Department: 11 - MATHEMATICAL SCIENCES
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Course round 1
The course is full. For waiting list, please contact the director of studies: lars-goran.ottosson@chalmers.se
Teaching language: English
Application code: 65112
Open for exchange students: Yes
Only students with the course round in the programme plan
| Module |
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Credit distribution |
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Examination dates |
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Sp1 |
Sp2 |
Sp3 |
Sp4 |
Summer course |
No Sp |
| 0101 |
Examination |
7,5 c |
Grading: TH |
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7,5 c
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27 Oct 2020 pm L
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04 Jan 2021 am L, |
19 Aug 2021 pm L |
In programs
TIMEL MECHATRONICS ENGINEERING, Year 3 (elective)
TIMAL MECHANICAL ENGINEERING - Machine Design, Year 3 (compulsory)
TIELL ELECTRICAL ENGINEERING - Common branch of study, Year 3 (compulsory elective)
TIELL ELECTRICAL ENGINEERING - Electrical Engineering, Year 3 (compulsory elective)
TIDSL PRODUCT DESIGN ENGINEERING, Year 3 (elective)
TKDAT COMPUTER SCIENCE AND ENGINEERING, Year 3 (elective)
TIEPL INDUSTRIAL MANAGEMENT AND PRODUCTION ENGINEERING, Year 3 (compulsory elective)
TIDAL COMPUTER ENGINEERING - Common branch of study, Year 3 (compulsory elective)
TIDAL COMPUTER ENGINEERING - AI - Machine learning , Year 3 (compulsory)
Examiner:
Axel Flinth
Go to Course Homepage
Course round 2
Teaching language: English
Application code: 99212
Open for exchange students: No
Maximum participants: 20
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 |
7,5 c |
Grading: TH |
|
7,5 c
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Examiner:
Axel Flinth
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.