- The exponent rules. Basic algebraic identities. The method of completing the square. Charts for analyzing the sign of an expression. The absolute value function. The equation of a straight line in the plane.
- First and second order equations. Some basic polynomial equations of higher degree. Equations with false roots. Linear and nonlinear inequalities.
- Exponential functions and logarithms. The laws of logarithms. Exponential equations and logarithmic equations. Logarithmic scale.
- Trigonometric functions. Inverse trigonometric functions. Trigonometric formulas and equations. The law of sines and the law of cosines.
- Basic terminology of sets and set operations.
- Standard notation for sums and products.
AF0700 Introductory Mathematics 1.5 fup
Information per course offering
Information for Autumn 2025 Start 11 Aug 2025 programme students
- Course location
KTH Campus
- Duration
- 11 Aug 2025 - 22 Aug 2025
- Periods
: P0 (1.5 hp)
- Pace of study
50%
- Application code
40004
- 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
- No information inserted
- Schedule
- 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 AF0700 (Autumn 2024–)Headings with content from the Course syllabus AF0700 (Autumn 2024–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
After completing the course students shall be able to :
- Define and interpret the concepts described in the course contents.
- Solve standard problems within the area described in the course contents.
Literature and preparations
Specific prerequisites
No information inserted
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
P, F
Examination
- TEN1 - Written exam, 1.5 fup, grading scale: P, 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.
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.
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
Education cycle
Pre-university level