SF1601 Calculus I, part 2 7.5 credits

Differential- och integralkalkyl I, del 2

Basic course in calculus of several variables with applications.

Offering and execution

Course offering missing for current semester as well as for previous and coming semesters

Course information

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.

Course Disposition

No information inserted

Literature and preparations

Specific prerequisites *

SF1600 Calculus part 1 or equivalent knowledge.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

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

Råde-Westergren/Mathematics Handbook for Science and Engineering.

Examination and completion

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)

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

No information inserted

Further information

Course web

No information inserted

Offered by

SCI/Mathematics

Main field of study *

Mathematics, 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.