The most important parts of each topic are covered in lectures. The students are then given exercises on the same topics. The aims of the exercises are for students to understand methods and ideas, as well as to be able to apply the subject to relevant problems.

The students are to learn how to use mathematical ideas precisely. This is a necessary background for understanding mathematical analysis. After completing the course, students are to master:1) basic set theory, 2) axiomatic description of the different number systems, 2) basic topological ideas such as compactness, convergence and uniform convergence, 4) the Riemann integral, 5) theory of series of numbers and functions.

The teaching is given as lectures and seminars.

The students can contact the teacher responsible for the course at the teacher's office, by telephone or by e-mail.

Required and optional reading

MATH111, MATH112, MATH113.

MATH270

Written exam.

Theory (lectures and self-study): 125 hours. Discussion groups, calculation exercises, weekly practice exercises, preparations for exam: 125 hours.

Special requirements in Science

Lectures: 4 hours per week, seminars: 2 hours per week.

The weekly tasks given in this course are in accordance with the bachelor thesis requirement for teacher students.

The external and internal examiner jointly prepare the exam questions and the correction manual. The external examiner reviews the internal examiner's examination results by correcting a random sample of candidate's exams as a calibration according to the Department's guidelines for examination markings.