University of Oslo

This course covers the practical and theoretical principles of remote sensing used in Earth observation. Students understand the content of data produced in these processes and how to extract specific information. Students learn to determine which techniques are best used in different situations.

This course gives insight into theory and algorithms for fundamental mathematical problems associated with systems of equations, optimization, and approximation of functions. There are many applications, for example, the representation of geometry, images, and more generally large data sets. Applications in various areas of the natural sciences are an essential part of the course. This subject assumes familiarity with linear algebra and calculus of several variables. The course discusses topics including important numerical methods; strategies both for constructing methods and analyzing them, often with the help of linear algebra; the limitations of various mathematical approximations and the effect of computer rounding errors; concrete methods for solving various kinds of equation systems and non-linear optimization problems; and methods for approximating functions with the help of simpler functions, such as polynomials, piecewise polynomials, and trigonometric functions.