Course syllabus adopted 2023-02-12 by Head of Programme (or corresponding).
Overview
- Swedish nameMatematisk analys i flera variabler
- CodeLMA017
- Credits7.5 Credits
- OwnerTIMAL
- Education cycleFirst-cycle
- Main field of studyMathematics
- DepartmentMATHEMATICAL SCIENCES
- GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Course round 1
- Teaching language English
- Application code 65123
- Open for exchange studentsYes
- Only students with the course round in the programme overview.
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0101 Examination 7.5 c Grading: TH | 7.5 c |
|
In programmes
- TIDAL - COMPUTER ENGINEERING - AI - Machine learning , Year 3 (compulsory)
- TIDAL - COMPUTER ENGINEERING - Common branch of study, Year 3 (compulsory elective)
- TIDSL - PRODUCT DESIGN ENGINEERING, Year 3 (elective)
- TIELL - ELECTRICAL ENGINEERING - Common branch of study, Year 3 (compulsory elective)
- TIELL - ELECTRICAL ENGINEERING - Electrical Engineering, Year 3 (compulsory elective)
- TIEPL - INDUSTRIAL MANAGEMENT AND PRODUCTION ENGINEERING, Year 3 (compulsory elective)
- TIMAL - MECHANICAL ENGINEERING - Machine Design, Year 3 (compulsory)
- TIMAL - MECHANICAL ENGINEERING - Production Engineering, Year 3 (elective)
- TIMEL - MECHATRONICS ENGINEERING, Year 3 (compulsory elective)
- TKDAT - COMPUTER SCIENCE AND ENGINEERING, Year 3 (elective)
Examiner
Tatiana Shulman- Senior Lecturer, 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.
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.
- 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, center 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.