Basic algebra, elementary functions (linear and quadratic functions, polynomials, trigonometric functions, exponential functions and logarithmic functions). Inverse functions, parametrical curves. Functions of one variable: Limits and continuity, differentiation and derivative, applications of the derivative, analysis of functions and graphs, linearisation, optimisation. The Riemann integral and basic integration technique. Taylor polynomials and polynomial approximations. Vectors in the plane and the space. Numerical algorithms for finding roots, numerical integration and solution of simple differential equations.

The teaching consists of lectures and exercises with supervision.

A teaching assistant is present during all exercise lessons. In addition, the students can contact the course responsible during meeting hours or by e-mail.

Required and optional reading. Syllabus etc. is available on the course web pages.

Mathematics R2 from upper secondary school or MATH100.

None

Written examination: 3.5 hours.

Lectures: 78 hours. Exercises: 26 hours. Colloquia and self study: 196 hours.

Special requirements in Science

Lectures: 4 hours per week. Exercises: 2 hours per week.

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.