MATH111 Calculus 1
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Showing course contents for the educational year starting in 2020 .
Course responsible: John Andreas Wyller
ECTS credits: 10
Faculty: Faculty of Science and Technology
Teaching language: NO
Teaching exam periods:
This course starts in Autumn parallel. This course has teaching/evaluation in Autumn parallel.
Course frequency: Annually
First time: 2003H
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.
Students are to:
- acquire the basic ideas and theorems in the theory
- master the standard methods for analysing and operating with functions with one variable
- be able to use this knowledge and skills to solve simple applied problems.
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.
Written examination: 3.5 hours.
Lectures: 78 hours. Exercises: 26 hours. Colloquia and self study: 196 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: Passed / Failed