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SF1661 Perspectives on Mathematics 6.0 credits

Administer About course

The goal of the course is deepen the knowledge in areas central to the mathematics of upper secondary school, and to develop a creative approach to mathematics. In the course it is stressed how the understanding of mathematical concepts and the logical structure is intertwined with fluency in computations and the ability to solve problems

Information per course offering

Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.

Termin

Information for Autumn 2025 Start 25 Aug 2025 programme students

Course location

KTH Campus

Duration
25 Aug 2025 - 24 Oct 2025
Periods
P1 (6.0 hp)
Pace of study

50%

Application code

51614

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
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Schedule
Schedule is not published

Contact

Examiner
No information inserted
Course coordinator
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Teachers
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Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus SF1661 (Autumn 2019–)
Headings with content from the Course syllabus SF1661 (Autumn 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Main mathematical content:

  • Sets and operations on sets. The concept of numbers. Representation of and arithmetics with natural numbers, integers, rational, real and complex numbers. Prime numbers. Sums. The binomial theorem.
  • Euclidean distance, the absolute value and the equation of the circle. Polynomials and factorization.
  • Functions. Invertible functions. The elementary functions and their basic properties. Limits of sequences and real-valued functions of one real variable. Simplifications and computations. Equations and inequalities.

The course also treats

  • The concepts of mathematics, including “Definition”, “Theorem” and “Proof”. Mathematical reasoning and mathematical communication. Various types of proofs, including mathematical induction. Techniques for studying mathematics and learning of mathematics.

Intended learning outcomes

After completing this course with a passing grade the student should, within the areas specified under Course Main Content, be able to

  • Read and understand mathematical text
  • Perform and in writing communicate various types of mathematical reasoning such as calculations, derivations, logical conclusions and proofs.
  • Formulate and use methods, concepts and theorems in problem solving.

Literature and preparations

Specific prerequisites

Basic requirements. 

Literature

The course literature is announced on the course webpage no later than three weeks before the start of the course. 

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, 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.

During the course there is also a number of non-mandatory tests and assignments where students have the possibility to get bonus points adding to the score of the final exam.

The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented,lastingdisability. The examiner may allow another form of examination for reexamination of individual students.

Examiner

Profile picture Albin Eriksson Östman

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

Technology

Education cycle

First cycle

Supplementary information

Only for students enrolled in the Degree Programme in Engineering and in Education (CLGYM). Can not be read by other students.