Introduction to Computational Science

COURSE OBJECTIVES

Knowledge and understanding of basic numerical algorithms and their implementation.

COURSE DESCRIPTION
Computational science is an interconnected combination of computer science and mathematics in which we develop and analyse algorithms for solving important problems in science and engineering. In this course, students will learn principles and practices of basic numerical computations. This class will cover in particular: numerical solution of linear systems, interpolation and approximation, numerical quadrature, least squares and one dimensional non-linear equations.

LEARNING METHODS
Depending on the teaching situation in spring either direct instruction plus exercises (offline) or flipped classroom plus exercises (online).

EXAMINATION INFORMATION
Written exam

PREREQUISITES
Calculus, Linear Algebra

REFERENCES

• U. M. Ascher and C. Greif. A First Course in Numerical Methods.
• P. Deuflhard and A. Hohmann. Numerical Analysis in Modern Scientific Computing.
• J. Stoer and R. Bulirsch. Introduction to Numerical Analysis.