Course code MATH112

MATH112 Calculus 2

Norsk emneinformasjon

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Showing course contents for the educational year starting in 2019 .

Course responsible: Bjørn Fredrik Nielsen
Teachers: John Andreas Wyller
ECTS credits: 10
Faculty: Faculty of Science and Technology
Teaching language: NO
(NO=norsk, EN=Engelsk)
Teaching exam periods:
This course starts in the spring parallel. This course has teaching/evaluation in the spring parallel.
Course frequency: Annually
First time: 2004V
Course contents:
Applications of the definite integral. Volums and 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. Curve integrals. Surface integrals. Green's, Gauss' and Stoke's theorems. Simple programing of numerical computations of the integrals.
Learning outcome:

Students are to

  • acquire basic ideas and theorems of the theory
  • master the standard methods for analysing and operating with scalar functions and vector functions in one or more variables
  • be able to use this knowledge and these skills when solving simple applied problems.
Learning activities:
The teaching consists of lectures and calculation exercises.
Teaching support:
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.
Syllabus:
Required and optional reading, syllabus etc. is available on the course web pages (Canvas).
Prerequisites:
MATH111  and INF100
Recommended prerequisites:
Mandatory activity:
None
Assessment:
Written examination: 3.5 hours.
Nominal workload:
Theory: 160 hours. Exercises: 140 hours.
Entrance requirements:
Special requirements in Science
Type of course:
Lectures: 4 hours per week. Exercises: 2 hours per week.
Examiner:
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.
Allowed examination aids: B2 Calculator handed out, other aids as specified
Examination details: One written exam: A - E / Ikke bestått