Course content

Basic properties of real numbers and real functions of a real variable; limits, continuity, differentiation and integration. The fundamental theorem of calculus and its applications are central. There is an emphasis on rigour.

Learning outcome

The aim of this course is on one hand to present a theoretical foundation for the calculus introduced in high school programs, and on the other hand to develop the topic further in order to give a basis for university studies in mathematics, science and technology. After completing the course, the student should be able to recognize, understand and apply concepts and methods from one-variable analysis, including limits, continuity, differentiation and integration. The student should be able to apply this knowledge to solve problems in mathematics and the natural sciences.

Learning methods and activities

Lectures, compulsory exercises and mid-semester examination.
Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (80%) and the mid-semester examination (20%). The mid-semester examination only counts if it has a positive effect on the final grade. The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system. Retake of examination may be given as an oral examination.

Compulsory assignments

• Exercises

Recommended previous knowledge

The course is based on Mathematics R2 or 3MX from high school, or equivalent.

Course materials

Will be announced at the start of the course.

Credit reductions