SF1674 Multivariable Calculus 7.5 credits

Flervariabelanalys

Show course information based on the chosen semester and course offering:

Offering and execution

No offering selected

Select the semester and course offering above to get information from the correct course syllabus and course offering.

Course information

Content and learning outcomes

Course contents *

Functions of several variables. Fundamental topological concepts in Rⁿ. Differentiability and linear approximation of mappings.

Partial derivatives, differentials, gradient.

The chain rule in general form. The implicit function theorem.

Extreme value problems with and without constraints. Multiple integrals, coordinate changes, geometric applications. Elementary Vector Analysis: Line integrals and surface integrals, Gauss, Green’s and Stokes’ formulas.

Intended learning outcomes *

After the course the student should be able to

  • use concepts. theorems and methods to solve and present solutions to problems within the parts of multivariable calculus described by the course content,
  • read and comprehend mathematical text.

Course Disposition

No information inserted

Literature and preparations

Specific prerequisites *

Active participation in SF1673 Analysis in one variable.

Recommended prerequisites

SF1672 Linear Algebra or similar. 

Equipment

No information inserted

Literature

The literature is published on the course webpage no later than four weeks before the course starts.

Examination and completion

Grading scale *

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

Examination *

  • TEN1 - Final Exam, 7.5 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.

The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented, lasting disability. 

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Maria Saprykina

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF1674

Offered by

SCI/Mathematics

Main field of study *

Technology

Education cycle *

First cycle

Add-on studies

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.