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SF1601 Calculus I, part 2 7.5 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 SF1601 (Autumn 2007–)
Headings with content from the Course syllabus SF1601 (Autumn 2007–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Functions of several variables. Continuity, differentiability and linear approximation. Partial derivatives, differentials, gradient. The chain rule. Extreme value problems with and without constraints. Multiple integrals, geometric applications. Elementary vector analysis: curve and surface integrals; the theorems of Gauss, Green.

Intended learning outcomes

To acquire a good understanding of and ability to apply basic calculus of several variables.

Literature and preparations

Specific prerequisites

SF1600 Calculus part 1 or equivalent knowledge.

Literature

R. A. Adams."Calculus. A complete Course" 6:th ed.

Råde-Westergren/Mathematics Handbook for Science and Engineering.

Examination and completion

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

Grading scale

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

Examination

  • TEN1 - Examination, 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.

Other requirements for final grade

Examination (TEN1; 7,5 hp)

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