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SF1613 Mathematics 2 12.0 credits

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Information per course offering

Course offerings are missing for current or upcoming semesters.

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus SF1613 (Autumn 2008–)
Headings with content from the Course syllabus SF1613 (Autumn 2008–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

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.

Intended 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.

Literature and preparations

Specific prerequisites

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 and completion

Grading scale

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

Examination

  • TEN3 - Examination, 4.5 credits, grading scale: A, B, C, D, E, FX, F
  • TEN2 - Examination, 7.5 credits, grading scale: A, B, C, D, E, FX, F
  • TEN1 - Examination, 12.0 credits, grading scale: A, B, C, D, E, FX, F
  • ANN1 - Assignment, 0.0 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

If the course is discontinued, students may request to be examined during the following two academic years.

Other 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.

Examiner

No information inserted

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

SCI/Mathematics

Main field of study

Mathematics, Technology

Education cycle

First cycle