Mathematical Physics

Uitgebreide vaknaam	Mathematical Physics
Leerdoelen	At the end of the course, the student is able to: 1. reproduce and apply the basic concepts of sequences of real numbers, limits of a sequence, series, convergence of series, power series, sequences/series of functions, uniform convergence, Taylor expansions, Fourier series, Fourier integral, Second order ordinary differential equations , Partial Differential equations 2. determine when a series is convergent, determine Taylor expansions, Fourier and integral expansion, and solve elementary second order differential equations, including those with applications to physical systems 3. interpret the properties of series, sequences, and differential equations and is able to use these properties to investigate the behavior of physical systems. 4. apply the definitions of the various types of series convergence and is able to classify and Interpret the various of types of convergence (absolute, uniform, conditional) and determine the radius of convergence. 5. solve differential equations using series expansions and Fourier transformations.
Omschrijving	The course Mathematical Physics deals with more advanced topics from calculus for Physics and Applied Physics and Astronomy students. The course is about sequences and series (limits of sequences, (uniform) convergence of series), second order differential equations (techniques to solve second order differential equations and application to atomic force microscopy), basic introduction to Fourier analysis, and a basic introduction to partial differential equations with an emphasis on applications in Physics (heat conduction, vibrations, Laplace and Poisson equation). Below is a list of topics to be treated: • sequences of real numbers • limits of a sequence • series • convergence of series • power series • sequences/series of functions, • Taylor expansions, • Fourier series • Fourier integral • Second order ordinary differential equations • Partial Differential equation • Applications: heat conduction, vibrations, Laplace and Poisson equation
Uren per week
Onderwijsvorm	Hoorcollege (LC), Opdracht (ASM), Werkcollege (T) (LC 32, T 32, ASM 48 self study 28 hrs)
Toetsvorm	Opdracht (AST), Schriftelijk tentamen (WE) (WE 100%, AST 0% home work)
Vaksoort	propedeuse
Coördinator	Prof. Dr. G. Palasantzas
Docent(en)	Prof. Dr. G. Palasantzas
Verplichte literatuur	Titel Auteur ISBN Prijs Calculus. Early transcendentals. newest edition (International Student Edition), London: Thomson Learning James Stewart 978-0538-49887-6
Entreevoorwaarden	The course unit assumes basic prior knowledge acquired from Calculus 1.
Opmerkingen	If final exam grade <4.5 then: final grade= final exam grade If final exam grade >=; 4.5 then: final grade = max (0.2 Homework assignments + 0.2 midterm exam grade + 0.6 final exam grade).
Opgenomen in	Opleiding Jaar Periode Type BSc Courses for Exchange Students: Astronomy - Physics - Energy & Environment - semester II b Physics / Applied Physics BSc Mathematics and Physics (double degree) 1 semester II b verplicht BSc Natuurkunde 1 semester II b verplicht BSc Sterrenkunde 1 semester II b verplicht BSc Technische Natuurkunde 1 semester II b verplicht