Preparatory Course in Mathematics

cannot 327 / 5,000The course is a stand-alone foundational course in mathematics and provides an introduction to university studies in mathematics and science. It can only be included in a university degree if there is no course in the main field of mathematics. It also cannot be included in a university degree together with a similar introductory course in mathematics.

The course is divided into two sub-courses called Part 1 and Part 2 of 4.5 and 3 credits respectively. Part 1 is divided into two parts called Part 1A and Part 1B of 1.5 credits and 3 credits respectively. These parts are reported separately in Ladok.

Part 1, 4.5 credits

Grading scale: Pass (G) and Fail (U)

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.

Part 2, 3 credits

Grading scale: Pass (G) and Fail (U)

Complex numbers. Solving equations with elementary functions. Inequalities. The concept of limit ​​with application to asymptotes of rational functions. Derivatives and integrals.

After completing Part 1, 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 2, 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.

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

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

The course is graded either Pass (G) or Fail (U). For a grade of G on the entire course, G is required on each sub-course.

Course evaluation is carried out through a survey on the Internet.

The course was established in response to the government's decision that all upper secondary school students should be offered a bridging course between mathematics studies at upper secondary school and university level. The course is given primarily during the summer and is called, in less formal contexts, Summer Math.

The syllabus for MMG020 was originally set to be valid from 2007-04-01. It has been revised on 2007-06-07, 2009-03-15, 2015-01-01, and 2025-12-08.