Function, domain, range. Increasing and decreasing functions.Inverse functions. The class of elementary functions. Limits. Continuity, theorems on continuous functions. Derivative, rules of differentiation, the mean value theorem and their applications. Linear differential equations with constant coefficients and their applications. The Riemann integral, primitive functions, the fundamental theorem of calculus, techniques of integration. Riemann sums, geometric and other applications of integrals, improper integrals. Sequences and series. Numerical treatment of equations, ordinary differential equations, and integrals.
SF1696 Calculus in One Variable 7.5 credits
Information per course offering
Information for Spring 2026 Start 13 Jan 2026 programme students
- Course location
KTH Campus
- Duration
- 13 Jan 2026 - 13 Mar 2026
- Periods
Spring 2026: P3 (7.5 hp)
- Pace of study
50%
- Application code
60309
- Form of study
Normal Daytime
- Language of instruction
Swedish
- Course memo
- Course memo is not published
- Number of places
Places are not limited
- Target group
- No information inserted
- Planned modular schedule
- [object Object]
- Schedule
- Schedule is not published
- Part of programme
- No information inserted
Contact
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus SF1696 (Autumn 2025–)Headings with content from the Course syllabus SF1696 (Autumn 2025–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
After completing the course, the student should be able to
• Use concepts,theorems and methods to solve, and present solutions to, problems within the parts of single variable calculusand, including its applications,described by the course content.
• Use programming to solve problems within the parts of single variable calculus, including its applications, described by the course content.
• Read and comprehend mathematical text.
with the purpose to:
• Develop a good understanding of fundamental single variable calculus and being able to use it to mathematically model applied problems.
• Develop skill in visualizing central concepts and solve applied problems with programming, as well as presenting the results in a clear manner.
Literature and preparations
Specific prerequisites
Basic requirements and SF1695Baskursimatematik.
Literature
You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.
Examination and completion
Grading scale
A, B, C, D, E, FX, F
Examination
- DAT1 - Computer laboration, 1.5 credits, grading scale: P, F
- TEN1 - Exam, 6.0 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.
If the course is discontinued, students may request to be examined during the following two academic years.
Other requirements for final grade
Written examination, possibly with the option of continuous assessment.
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
Main field of study
Mathematics, Technology
Education cycle
First cycle