MATH112 Calculus 2

Credits (ECTS):10

Course responsible:John Andreas Wyller, Arkadi Ponossov

Campus / Online:Taught campus Ås

Teaching language:Norsk

Course frequency:Annually

Nominal workload:Theory: 130 hours. Exercises: 120 hours.

Teaching and exam period:This course starts in the spring parallel. This course has teaching/evaluation in the spring parallel.

About this course

Applications of the definite integral, areas, length of curves. Polar coordinates. Vector-valued functions, parameterised curves. Multivariable functions, linearization, gradient and directional derivatives, optimization, Lagrange-multipliers. Multiple integrals. integration techniques and applications of integrals. Line integrals. Surface integrals. Green's, Gauss' and Stoke's theorems. Simple programming of numerical computations of the integrals.

Learning outcome

Students are to

  1. Acquire basic ideas and theorems of the theory.
  2. Master the standard methods for analysing and operating with scalar functions and vector functions in one or more variables.
  3. Be able to use this knowledge and these skills when solving simple applied problems.
  • The teaching consists of lectures and calculation exercises.
  • An assistant teacher is present during all the exercise lessons. The students can either contact the teacher in his office, by telephone or by e-mail.
  • MATH111, INF120 or INF100.
  • Written examination: 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 per week. Exercises: 2 hours per week.
  • Special requirements in Science