SF1608 Mathematics I 9.0 credits
This course has been discontinued.
Last planned examination: Spring 2012
Decision to discontinue this course:
No information insertedContent and learning outcomes
Course contents
Binomial theorem. Proof by induction. Real functions of one real variable; limit, continuity. Inverse functions. Elementary functions. Derivatives, higher-order derivatives. Extreme value problems. Implicit differentiation. Elementary first and second order differential equations. Linear approximations and Taylor's formula. L'Hôpitals rule. The Riemann integral in one variable with geometrical and other applications.
Intended learning outcomes
To acquire a basic understanding of polynomials and proof by induction. To acquire a good understanding of and ability to apply basic calculus of one variable.
Literature and preparations
Specific prerequisites
Advanced mathematics (NT from high school level).
Recommended prerequisites
Equipment
Literature
Persson&Böiers/Analys i en variabel.
LTH/Övningar i analys i en variabel.
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, 9.0 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
One written exam (TEN1; 9 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.