MAT-INF1100 – Modelling and Computations
Course description
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