Course content

Limits, continuity, differentiation and integration of functions of a single variable. The mean-value theorem, extreme values, related rates. L'Hopital's rule, Taylor's formula, Newton's method. Methods of integration and numerical integration. Volume, arclength, area of surfaces of revolution and centre of mass. Sequences, series and power series. First order separable and linear differential equations. Euler's method. Examples of mathematical modelling. Examples, exercises, midterm and exam problems adapted to the relevant program of study.

Learning outcome

The purpose of this course is to extend and to deepen the understanding of the mathematics taught in high school, with emphasis on application in science and technology.

Learning methods and activities

Lectures, compulsory exercises, 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 semester assignment 20%. 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. The mid-semester examination only counts if it has a positive effect on the total assessment. Retake of examination may be given as an oral examination.

Compulsory assignments

• Exercises

Recommended previous knowledge

None.

Course materials

Will be announced at the start of the course.

Credit reductions