Numerical Analysis I

Code	13929
Year	3
Semester	S1
ECTS Credits	6
Workload	TP(60H)
Scientific area	Mathematics
Entry requirements	N.A.
Learning outcomes	With this curricular unit it is intended that the student obtain numerical tools to solve the most varied mathematical problems. At the end of this curricular unit the student should be able to: a) analyze the errors and determine their propagation; b) determine numerically zeros of functions; c) solve numerically systems of linear equations; d) interpolate and approximate functions; e) derive and integrate functions numerically; f) solve equations and systems of differential equations by numerical methods; g) in face of a proposed problem, translate it mathematically, identify possible methods to solve it, choose the most appropriate, implement it and critically analyze the results.
Syllabus	1. Theory of errors 2. Non-linear equations 3. Systems of linear equations 4. Interpolation and polynomial approximation 5. Differentiation and numerical integration 6. Ordinary differential equations with initial values
Main Bibliography	• H. Pina, "Métodos Numéricos", Mc GrawHill, Alfragide, 1995. • M.R. Valença, "Métodos Numéricos", INIC, Braga, 1988. • R.I. Burden & J.D. Faires & A.M. Burden, "Numerical Analysis 10e", PWSKent, Boston, 2015.
Language	Portuguese. Tutorial support is available in English.