Course syllabus for Mathematical analysis in several variables

The course syllabus contains changes
See changes

Course syllabus adopted 2020-02-27 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 65112
  • Open for exchange studentsYes
  • Only students with the course round in the programme overview.

Credit distribution

0101 Examination 7.5 c
Grading: TH
7.5 c
  • 27 Okt 2020 pm L
  • 04 Jan 2021 am L
  • 19 Aug 2021 pm L

In programmes

Examiner

  • Axel Flinth
Go to coursepage (Opens in new tab)

Course round 2

  • Teaching language English
  • Application code 99212
  • Maximum participants20
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0101 Examination 7.5 c
Grading: TH
7.5 c

    Examiner

    • Axel Flinth
    Go to coursepage (Opens in new tab)

    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 syllabus contains changes

    • Changes to course rounds:
      • 2020-05-24: Examinator Examinator changed from Richard Lärkäng (larkang) to Axel Flinth (flinth) by Viceprefekt
        [Course round 1]
    • Changes to examination:
      • 2020-09-30: Grade raising No longer grade raising by GRULG
      • 2020-09-30: Grade raising No longer grade raising by GRULG