Numerical Mathematics 1

Uitgebreide vaknaam	Numerical Mathematics 1
Leerdoelen	At the end of the course, the student is able to: 1. Proof basic concepts from numerical analysis related to the subjects mentioned in the description, like stability and convergence 2. Implement in PYTHON a given numerical method 3. Analyze the numerical results in view of the theory 4. Judge the methods by taking into account the main mathematical properties (like convergence and stability) and computational costs.
Omschrijving	Most mathematical problems cannot be solved analytically. Numerical mathematics supplies the tools to solve such problems approximately by the computer. In this course we will treat the theory and implementation of numerical methods for solving the following problems Unit 1 • Polynomial interpolation • Numerical integration Unit 2 • Non-linear (systems) of equations • Linear systems of equations Unit 3 • (Systems of) ordinary differential equations Contents of all units are covered in lectures, tutorials and Python projects.
Uren per week
Onderwijsvorm	Hoorcollege (LC), Opdracht (ASM), Practisch werk (PRC), Werkcollege (T) (Deadlines will be set; not attending a grading activity (Di,Ti,Ri) or not meeting a deadline will result in the minimal grade for the associated activity.)
Toetsvorm	Opdracht (AST), Schriftelijk tentamen (WE) (Each of the units will be evaluated by a discussion Di (about theory and numerical results from programming) and a written test Ti, i=1,2,3. To pass the course, each Di>=5.5, (T1+T2+T3)/3>=5.5 and at most one 4.5<=Ti<5.5. Not-passed Di can be repaired. If Ri>Ti, the re-examination question Ri replaces Ti. If the course is passed, the final grade is (D1+D2+D2)/3*0.4+(T1+T2+T3)/3*0.6)
Vaksoort	bachelor en master
Coördinator	Prof. Dr. C.A. Bertoglio
Docent(en)	Prof. Dr. C.A. Bertoglio
Entreevoorwaarden	Knowledge assumed: Linear Algebra 1; Calculus 1 and 2; Analysis or Mathematical Physics; Computer Aided Problem Solving or Python for Physicists.
Opmerkingen	This course is a prerequisite for the courses Computational Methods of Science, Numerical Mathematics 2, in general for all more advanced Numerical Mathematics courses.
Opgenomen in	Opleiding Jaar Periode Type BSc Courses for Exchange Students: AI - Computing Science - Mathematics - semester II b BSc Mathematics and Physics (double degree) 2 semester II b verplicht BSc Mathematics: General Mathematics  ( Major track General Mathematics) 2 semester II b verplicht BSc Mathematics: Probability and Statistics 2 semester II b verplicht BSc Technische Natuurkunde 2 semester II b verplicht BSc Technische Wiskunde 2 semester II b verplicht