TANA46	Numerical Methods, 4 ECTS-points /Numeriska metoder för I/ Advancement level: B
	Aim: The course provides basic knowledge about numerical methods for solving mathematical problems, with applications in technology and economics. Special attention is paid to matters concerning accuracy and efficiency. The course also gives practical familarity with numerical computations on calculators and computers. Prerequisites: TATM 35 Calculus, TATM 13 Linear Algebra, TDDB 22 Introduction to Programming Supplementary courses: TANA 50 Numerical methods II TANA 70 Fortran Course content: Error Analysis: Sources of Error and Error Propagation. Cancellation. Examples of Error Propagation in Investment Planning. Floating Point Arithmetic. Interpolation: Newton's Interpolating Polynomial. Spline Interpolation. Numerical Differentiation. Difference Approximation of Derivatives.Richardson Extrapolation. Numerical Integration. Linear Algebra: Gaussian Elimination with Applications. LU-Decomposition. Perturbation Theory. Overdetermined Linear Systems and the Least Squares Method. Initial Value Problems: Euler's Method and Runge-Kutta Methods. Boundary Value Problems: The Finite Difference Method.
TEN1	Written examination, 2 p.
LAB1	Labratory work, 1 p.

Course language is swedish.