MATH111 Calculus 1

Credits (ECTS):10

Course responsible:Ole Løseth Elvetun

Campus / Online:Taught campus Ås

Teaching language:Norsk

Course frequency:Annually

Nominal workload:Lectures: 78 hours. Exercises: 26 hours. Colloquia and self study: 146 hours.

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

About this course

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.

Learning outcome

Students are to:

  1. acquire the basic ideas and theorems in the theory
  2. master the standard methods for analysing and operating with functions with one variable
  3. 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.
  • Mathematics R2 from upper secondary school or MATH100.
  • 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 candidates' exams as a calibration according to the Department's guidelines for examination markings.
  • Midterm exam (Pass/Fail).
  • Lectures: 4 hours per week. Plenary sessions: 4 hours per week. Exercises: 6 groups of 2 hours per week.
  • Letter grades
  • Special requirements in Science