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Course content

MAT-INF1100 is a first semester course in mathematics that unites classical and computational perspectives on mathematics. Thematically the course is focused on deriving numerical methods for computing quantities like the derivative, the integral and approximate solutions of various kinds of equations. Taylors formula with remainder and basic properties of numbers, including how they are represented in a computer, are also important topics which in this course are used to analyse the errors and limitations of the computational methods.

MAT-INF1100 is closely linked to MAT1100 – Calculus and IN1900 – Introduction to Programming with Scientific Applications. The teaching in the course assumes that the students are able to program a computer. This competence must either be learnt before they attend MAT-INF1100 or while attending the course.

Learning outcome

After completing the course you:

  • are familiar with the basic properties of integer and real numbers, how they are represented in a computer, and limitations of the representations;
  • can find formulas for the solution of some difference and differential equations;
  • are familiar with and can program numerical methods for approximate calculation of the derivative and the integral of general functions, as well as approximate solutions of equations, difference equations and differential equations;
  • are familiar with the general limitations of numerical methods discussed in the course and are able to estimate their errors using Taylor polynomials with remainder and the principles for representing real numbers in a computer;
  • can derive simple mathematical models for practical problems using derivatives, integrals and different kinds of equations;
  • are able to carry out proofs by induction, argue out simple, mathematical arguments, and present your reasoning in a clear and transparent way with suitable notation and terminology.    

Admission

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Prerequisites

Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

  • Mathematics R1 (or Mathematics S1 and S2) + R2

And in addition one of these:

  • Physics (1+2)
  • Chemistry (1+2)
  • Biology (1+2)
  • Information technology (1+2)
  • Geosciences (1+2)
  • Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).

Recommended previous knowledge

R2 from secondary school. The subject should be taken in the same semester as or after MAT1100 – Calculus and IN1900 – Introduction to Programming with Scientific Applications/INF1100 – Introduction to programming with scientific applications (continued)/IN1000 – Introduction to Object-oriented Programming/INF1000 – Introduction to object-oriented programming (continued).

Overlapping courses

*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department. 

Teaching

5 hours of lectures, 2 hours of groups/datalab per week.

The number of groups offered can be adjusted during the semester, depending on attendance.

Examination

2 mandatory assignments

Midterm and end of semester written examinations add up to one final grade. Both exams are compulsory and have to be taken in the same semester.

Midterm exam counts for 1/3 and the written examination at the end of the semester counts for 2/3. The final grade is based on the total score and a general impression after the final examination.

 

Examination support material

Midterm examination: No support materials permitted.

Final examination: Approved calculator.

Information about approved calculators (Norwegian only)

 

Language of examination

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

This course offers both postponed and resit of examination. Read more:

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Evaluation

The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course

Credits

10

Level

Bachelor

Teaching

Every autumn

Examination

Every autumn

Teaching language

Norwegian