MATH112 Calculus 2
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Showing course contents for the educational year 2022 - 2023 .
Course responsible: Arkadi Ponossov
ECTS credits: 10
Faculty: Faculty of Science and Technology
Teaching language: NO
Teaching exam periods:
This course starts in the spring parallel. This course has teaching/evaluation in the spring parallel.
Course frequency: Annually
First time: Study year 2004-2005
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.
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.
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.
Required and optional reading, syllabus etc. is available on the course web pages (Canvas).
MATH111, INF120 or INF100.
To be announced at the start of the semester.
Written examination: 3.5 hours.
Theory: 130 hours. Exercises: 120 hours.
Special requirements in Science
Type of course:
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.
Allowed examination aids: B2 Calculator handed out, other aids as specified
Examination details: One written exam: Letter grades