• Svenska

# ML0021 Mathematics for Technical Preparatory Year I 12.0 fup

The overall goal of the course is to give new students enough skills and understanding to be able to follow the mathematics courses of the 3- and 5-year engineering programs.

The course should also contribute to a good introduction to higher education.

## Information per course offering

Termin

### Information forAutumn 2024 Start 26 Aug 2024 programme students

Course location

KTH Södertälje

Duration
26 Aug 2024 - 13 Jan 2025
Periods
P1 (6.0 fup), P2 (6.0 fup)
Pace of study

33%

Application code

51778

Form of study

Normal Daytime

Language of instruction

Swedish

Number of places

Places are not limited

Target group
No information inserted
Planned modular schedule
[object Object]
Part of programme

### Contact

Examiner
No information inserted
Course coordinator
No information inserted
Teachers
No information inserted

### Course syllabus as PDF

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

Course syllabus ML0021 (Autumn 2020–)
Headings with content from the Course syllabus ML0021 (Autumn 2020–) are denoted with an asterisk ( )

## Content and learning outcomes

• Lectures

### 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

The overall goal of the course is to give new students enough skills and understanding that is required to be able to follow the mathematical courses that are included in the 3- and 5-year engineering programs. The courses should also contribute to a good introduction to higher education.

After passing the course, the students should be able to:

• use theorems and methods on mathematical problems and communicate the mathematical argumentation in writing.

’Mathematical’ refers to the part of the mathematics that is included in the course content.

## 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 fup, grading scale: A, B, C, D, E, FX, F
• TENB - Written examination, 6.0 fup, 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 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