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MATH290 Real analysis

Credits (ECTS):10

Course responsible:Ole Løseth Elvetun, Bjørn Fredrik Nielsen

Campus / Online:Taught campus Ås

Teaching language:Engelsk

Course frequency:Annually. The course is offered on demand and if resources allow it.

Nominal workload:Theory (lectures and self-study): 125 hours. Discussion groups, calculation exercises, weekly practice exercises, preparations for exam: 125 hours.

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

About this course

The most important parts of each topic are covered in lectures. The students are then given exercises on the same topics. The aims of the exercises are for students to understand methods and ideas, as well as to be able to apply the subject to relevant problems.

Learning outcome

The students are to learn how to use mathematical ideas precisely. This is a necessary background for understanding mathematical analysis. After completing the course, students are to master:1) basic set theory, 2) axiomatic description of the different number systems, 2) basic topological ideas such as compactness, convergence and uniform convergence, 4) the Riemann integral, 5) theory of series of numbers and functions.
  • Learning activities
    The teaching is given as lectures and seminars.
  • Teaching support
    The students can contact the teacher responsible for the course at the teacher's office, by telephone or by e-mail.
  • Prerequisites
    MATH111, MATH112, MATH113.
  • Recommended prerequisites
    MATH270
  • Assessment method
    Written exam.

    One written exam Grading: Letter grades Permitted aids: A1 No calculator, no other aids
  • Examiner scheme
    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.
  • Notes
    The weekly tasks given in this course are in accordance with the bachelor thesis requirement for teacher students.
  • Teaching hours
    Lectures: 4 hours per week, seminars: 2 hours per week.
  • Admission requirements
    Special requirements in Science