Before choosing courseSF1611 Introductory Course in Mathematics I 1.5 creditsAdministrate About course

A optional introductory course that reviews some knowledge and skills from upper secondary school but also contains material that might fall between two stools in the transition to KTH.

Course offering missing for current semester as well as for previous and coming semesters

## Content and learning outcomes

### Course contents

• Common mathematical notation, for instance, implication and equivalence arrows, quantifiers, Greece letters and the summation and multiplication sign.
• Polynomial division and the factor theorem.
• The triangle inequality.
• Manipulation of inequalities: addition, multiplication, absolute value, monotonous maps.
• Set theory: set constructors, union, intersection, difference, product, number intervals.
• Natural numbers, integers, rational, real and complex numbers.
• Prime factorization.
• Proofs by induction and contradiction.

### Intended learning outcomes

After the course the student should be able to

• use common mathematical notation,
• perform polynomial division and apply the factor theorem,
• manipulate inequalities and make calculations with the absolute value of real numbers,
• explain basic concepts in set theory and number theory,
• decide the correctness of simple proofs by induction or contradiction,

in order to be prepared for higher studies in technology in general and for the basic courses in mathematics at KTH in particular.

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Advanced mathematics from upper secondary school (courses A-D).

### 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.

P, F

### Examination

• ANN1 - Introduction, 1,5 hp, betygsskala: 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

Written exam, possibly together with continuous examination.

### 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 SF1611

SCI/Mathematics

### Main field of study

Mathematics, Technology

First cycle