MATH122 Calculus and linear algebra
Credits (ECTS):10
Course responsible:Susanne Solem
Campus / Online:Taught campus Ås
Teaching language:Norsk
Course frequency:Annually
Nominal workload:Lectures: 78 hours. Exercise sessions: 26 hours. Colloquium, self study and similar: 146 hours.
Teaching and exam period:This course starts in the spring parallel. This course has teaching/evaluation in the spring parallel.
About this course
In the first part of the course the theory of function for one variable calculus will be expanded to multivariable calculus: Parametrization of curves, polar coordinates and arch length. Vectors in the plane and the space. Functions of several variables. Limits and continuity, gradients and directional derivative. Double- and triple integral, as well as change of variable in multiple integrals.
In the second part of the course, basic linear algebra will be covered: systems of linear equations, Gaussian elimination, matrix product, inverse matrices, determinants, eigenvalues and eigenvectors.
Learning outcome
Students are to
- Acquire basic ideas and theorems from the theory.
- Master standard methods in linear algebra and for analyzing and operating with functions in more than one variable.
- Be able to use this knowledge and these skills when solving simple applied problems.
- The learning activities consist of lectures, recommended exercises and exercise sessions, and self study.
- An assistant teacher is present during the exercise sessions. In addition, the students can contact the lecturer in the persons office, by telephone or by e-mail.
- MATH121 and INF120
- A written examination of 3.5 hours.
- 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.
- To be announced at the start of the semester.
- Lectures: 4 hours/week. Plenary exercise walk-throughs: 2 hours/week. Exercise sessions: 3 groups, each with 2 hours/week.
- MATH131, 5 credits
- Special requirements in Science