# KH0001 Introductory Course in Mathematics 1.5 credits

### Choose semester and course offering

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Headings with content from the Course syllabus KH0001 (Autumn 2019–) are denoted with an asterisk ( )

## Content and learning outcomes

### Course contents

Calculating, algebra, powers, logarithms and various equations and differences, handle formulae, elementary functions, their graphs and trigonometry.

### Intended learning outcomes

On completion of the course, the student should

• be able to simplify algebraic expressions
• be able to determine the variables from formulae
• be able to solve 2nd order polynomial equations
• be able to derive and use conjugates- and the squaring rules and also factor by means of these
• be able to solve polynomial equations higher than second order by means of factorisation
• be able to use trigonometry in arbitrary triangles
• be able to use the distance formula in the plane
• master first and second order, exponential, logarithmic and trigonometric functions
• be able to solve systems of linear equation graphically and algebraically
• be familiar with the function concept
• be able to solve differences of the first grade
• be able to use exponential and logarithm laws
• be able to solve exponential and logarithmic equations
• be able to solve simple trigonometric equations and be able to prove trigonometric formulae
• be able to use radians
• master the definition of the derivative and be able to differentiate elementary functions and composite functions
• master the derivation rules for product and quotient
• be able to study a function by means of derivatives
• be able to determine prime components of the elementary functions and of simple composite functions
• be able to calculate a definite integral and apply this on area calculation

### Course disposition

No information inserted

## Literature and preparations

### Specific prerequisites

The upper-secondary school from 1 July 2011 and adult education at upper-secondary level from 1 July 2012 (Gy2011)

General entry requirements Specific entry requirements A8.

Specific entry requirements: Physics 2, Chemistry 1 and Mathematics 3c. In each of the subjects the minimum grade required is E.

The upper-secondary school before 1 July 2011 and adult education at upper-secondary level before 1 July 2012

General entry requirements Specific entry requirements 8.

Specific entry requirements: Mathematics D, physics B and chemistry A. Passed or 3 in each of the subjects is required.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

Wallin et al, Inför högskolan; matematikrepetition, Liber

## Examination and completion

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

P, F

### Examination

• RED1 - Report, 1.5 credits, 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.

### Other requirements for final grade

Passed presentation (RED1; 1.5 credits)

### 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 web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web KH0001

### Offered by

CBH/Engineering Pedagogics

### Main field of study

No information inserted

### Education cycle

Pre-university level