SF1601 Calculus I, part 2 7.5 credits
This course has been discontinued.
Last planned examination: Spring 2000
Decision to discontinue this course:
No information inserted
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.
Recommended prerequisites
Equipment
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
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
Opportunity to raise an approved grade via renewed examination
Examiner
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.