• Svenska

# KH0021 Mathematics for Technical Preparatory Year I 12.0 credits

### For course offering

Autumn 2024 TBASD programme students

### Target group

No information inserted

### Periods

P1 (6.0 fup), P2 (6.0 fup)

26 Aug 2024
13 Jan 2025

33%

Normal Daytime

Swedish

KTH Campus

### Number of places

Places are not limited

## Application

### For course offering

Autumn 2024 TBASD programme students

50832

## Contact

### For course offering

Autumn 2024 TBASD programme students

### Contact

Hanna Magnholt Ohlman (hohlman@kth.se)

### Examiner

No information inserted

### Course coordinator

No information inserted

### Teachers

No information inserted
Headings with content from the Course syllabus KH0021 (Autumn 2020–) are denoted with an asterisk ( )

## Content and learning outcomes

### Course contents

MODULE A: TENA

• Vectors; Arithmetical operations. Components of vectors. Coordinates. Vector length.
• Algebraic expression and algebraic methods; Implication and equivalence. Polynomial. Powers. Square roots. Absolute value. Equations. Factorial polynoms Rational expressions. Linear equation systems. Linear inequalities.
• Functions; Linear functions. Direct proportionality. Quadratic functions. Power functions.
• Right-angle trigonometry.
• Uniformity; Triangle theorems Area and volume scale factors.

MODULE B: TENB

• Exponential functions.
• Logarithms; Logarithm laws. Natural logarithms.
• Derivatives; Change rates. Limits. The definition of the derivative. Derivation rules.
• Derivatives and graphs; Extreme points and extreme values. Increasing and decreasing. Maximum and minimum values. Second derivative.
• The equation of the circle.
• Area theorem. Sine law. Cosine law.

### Intended learning outcomes

No information inserted

## Literature and preparations

### Specific prerequisites

No information inserted

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

No information inserted

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• TENA - Written examination, 6.0 credits, grading scale: A, B, C, D, E, FX, F
• TENB - Written 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.

### Other requirements for final grade

Final grades are based on the total number of points from both written examinations.

For final grade, it is required that all examination parts are approved

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

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.

### Main field of study

This course does not belong to any Main field of study.

### Education cycle

Pre-university level