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Course syllabus for Preparatory course in mathematics

Course syllabus adopted 2026-02-11 by Head of Programme (or corresponding).

Overview

  • Swedish nameFörberedande kurs i matematik
  • CodeMVE801
  • Credits7.5 Credits
  • OwnerFKURS
  • Education cycleFirst-cycle
  • DepartmentMATHEMATICAL SCIENCES
  • GradingUG - Pass, Fail

Course round 1

  • Teaching language

    Swedish

  • Application code

    99130

  • Open for exchange students

    No

  • Only students with the course round in the programme overview.

Credit distribution

Module
Sp1
Sp2
Sp3
Sp4
Summer
Not Sp
Examination dates
0114 Intermediate test, part A 1.5 c
Grading: UG		 1.5 c
0214 Intermediate test, part B 3 c
Grading: UG		 3 c
0314 Intermediate test, part C 3 c
Grading: UG		 3 c

In programmes

Examiner

Course round 2

  • Teaching language

    Swedish

  • Application code

    99131

  • Open for exchange students

    No

  • Only students with the course round in the programme overview.

Credit distribution

Module
Sp1
Sp2
Sp3
Sp4
Summer
Not Sp
Examination dates
0114 Intermediate test, part A 1.5 c
Grading: UG		 1.5 c
0214 Intermediate test, part B 3 c
Grading: UG		 3 c
0314 Intermediate test, part C 3 c
Grading: UG		 3 c

In programmes

Examiner

Eligibility

General entry requirements

Specific entry requirements

Mathematics D or Mathematics 4 or Mathematics continuation level 2

Aim

The course is a stand-alone undergraduate mathematics course and provides an introduction to higher education studies in mathematics and science.

Learning outcomes (after completion of the course the student should be able to)

After completing Part A and Part B, the student should be able to:
  • perform numerical calculations with confidence using fractions, powers, roots and logarithms,
  • rewrite algebraic expressions and show awareness of the importance of the equal sign in this context,
  • solve root equations and equations of degree two,
  • show good familiarity with coordinate systems in the plane and analytical description of curves therein,
  • show good familiarity with trigonometric functions and be able to solve simple trigonometric equations,
  • perform polynomial division and understand and be able to use the factor theorem in calculations.

After completing Part C, the student should be able to:
  • perform calculations with complex numbers confidently,
  • solve equations with elementary functions, and in particular make the right choice of appropriate rewrites of trigonometric expressions in connection with this,
  • solve inequalities with rational expressions,
  • show sufficient familiarity with the concept of limit values to use it to determine asymptotes to rational functions,
  • the meaning of derivatives and definite integrals,
  • find derivatives and primitive functions to elementary functions,
  • perform differentiation and simpler forms of integration in practical calculus.

Content

The course is divided into three parts named Part A, Part B and Part C of 1.5, 3 and 3 credits respectively. These parts are reported separately in Ladok. Part A and Part B are considered together as sub course 1 and Part C as sub course 2.

Sub courses
  1. 1. Part A and Part B 4,5 hp
    Numerical calculation with fractions, powers, roots and logarithms. Algebraic rewrites. Solving equations of degree one and two and higher. Root equations. Linear equation systems. Euclidean and analytical geometry. The trigonometric functions, relations between these and solving simple trigonometric equations. The general concept of function and basic functions such as polynomial functions, rational functions, absolute values and exponential and logarithmic functions.
  2. Part C 3 hp
    Complex numbers. Solving equations with elementary functions. Inequalities. The concept of limit with application to asymptotes of rational functions. Derivatives and integrals.

Organisation

The course is Internet-based and students have access to a support center during the course that answers questions via Internet and telephone.

Course evaluation is carried out through an online survey.

Literature

Compendium in digital form via the internet and in printed form.

Examination including compulsory elements

The course is examined continuously throughout the studies through online examinations, plus a final written exam on campus

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers about disability study support.

Preparatory course in mathematics | Chalmers