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SF1613 Mathematics 2 12.0 credits

Matematik 2

Please note

This course is in the process of being cancelled.

  • Educational level

    First cycle

  • Academic level (A-D)

    A

  • Subject area

    Mathematics
    Techonology

  • Grade scale

    A, B, C, D, E, FX, F

Last planned examination: Spring 14

At present this course is not scheduled to be offered.

Learning outcomes

  • To provide good skills and understanding in basic linear algebra, in calculus in several variables and in elementary vector calculus.
  • To be able to apply these skills to problems in the engineering sciences.
  • To encounter different modes of teaching.
  • To provide skills in oral and written presentations of mathematics.

Course main content

Systems of linear equations, matrices and determinants. The vector spaces Rn. Base and dimension. Linear mappings. Change of basis. Eigenvalues, eigenvectors and diagonalization. Quadratic forms.

Numerical series and power series.
Calculus in several variables. Continuity, differentiability, linear approximation. Partial derivatives, differentials, gradient. The chain rule. Extreme value problems. Multiple integrals, geometric applications.

Curves in the plane and curves in space. Orientable surfaces. Introductory vector calculus.

The course also connects to mathematical education by treating for example oral and written presentations of mathematics and the use of calculators and mathematical software.

Eligibility

SF1623 Mathematics I for CL.

Literature

Andersson Lennart m.fl. : Linjär algebra med geometri.

Persson&Böiers/Analys i flera variabler.

LTH/Övningar i analys i flera variabler.

Examination

  • ANN1 - Assignment, , grade scale: A, B, C, D, E, FX, F
  • TEN1 - Examination, 12.0 credits, grade scale: A, B, C, D, E, FX, F
  • TEN2 - Examination, 7.5 credits, grade scale: A, B, C, D, E, FX, F
  • TEN3 - Examination, 4.5 credits, grade scale: A, B, C, D, E, FX, F

Requirements for final grade

Normally the examination consists of TEN1 (12 hp), continuous examination combined with a final written exam, and ANN1 (0 hp, compulsory) on a selected topic in the didactics of mathematics.
TEN1 may under certain circumstances be replaced by TEN2 (7,5 hp) and TEN3 (4,5 hp).
TEN2 corresponds to the following parts of the course: linear algebra, curves in the plane and curves in space and differential calculus and extreme value problems for functions of several variables.
TEN3 corresponds to series, multiple integrals and introductory vector calculus.

Offered by

SCI/Mathematics

Examiner

Version

Course plan valid from: Autumn 08.
Examination information valid from: Autumn 07.