SF1626 Calculus in Several Variable 7.5 credits

Flervariabelanalys

Please note

The information on this page is based on a course syllabus that is not yet valid.

This is a basic course in DIFFERENTIAL and INTEGRAL CALCULUS for FUNCTIONS of SEVERAL VARIABLES.

  • Education cycle

    First cycle
  • Main field of study

    Mathematics
    Technology
  • Grading scale

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

Course offerings

Spring 19 CMAST1 m.fl. for programme students

Spring 19 CDEPR1 m.fl. for programme students

Spring 19 CITEH1 for programme students

Spring 19 CELTE1 m.fl. for programme students

Spring 19 CSAMH1 for programme students

Spring 19 CINEK1 for programme students

Autumn 19 CMEDT2 for programme students

Spring 20 CMAST1 m.fl. for programme students

Spring 20 CFATE1 m.fl. for programme students

Spring 20 CELTE1 m.fl. for programme students

Spring 20 for programme students

Spring 20 CDEPR1 m.fl. for programme students

Spring 20 CSAMH1 for programme students

Autumn 18 CMEDT2 for programme students

Intended learning outcomes

After finishing the course the student is expected to

  • Be able to use terminology, results and methods to solve, and present solutions of, problems in calculus in several variables described within the course contents.
  • Read and understand mathematical text.

Course main content

Euclidian n-space. Functions of several variables and vector-valued functions, including the following concepts: Graph, level curve, level surface. Limits and continuity, differentiability, partial derivatives, the chain rule, differentials. Tangent planes and linear approximation. Taylor’s Formula. Gradient and directional derivative. Jacobian matrix and Jacobian determinant. Invertibility and implicitly defined functions. Coordinate changes. Extreme-value problems. Multiple integrals. Line integrals and Green’s theorem. Flux integrals and the divergence theorem. Stokes’ theorem. Applications.

Eligibility

Active participation in SF1625 Calculus in one variable.

 

Recommended prerequisites

SF1624/SF1684 Algebra and Geometry, SF1675 Applied Linear Algebra or similar. 

Literature

Announced no later than 4 weeks before the start of the course on the course web page.

Examination

  • TEN1 - Examination, 7.5, grading scale: A, B, C, D, E, FX, F

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

Requirements for final grade

Written exam, possibly with the possibility of continuous examination.

Offered by

SCI/Mathematics

Contact

Henrik Shah Gholian (henriksh@kth.se)

Examiner

Hans Thunberg <thunberg@kth.se>

Henrik Shah Gholian <henriksh@kth.se>

Supplementary information

Mandatory for first year, can not be read by other students

Version

Course syllabus valid from: Autumn 2019.
Examination information valid from: Autumn 2007.