Mathematical Physics
Faculteit  Science and Engineering 
Jaar  2017/18 
Vakcode  WBPH15001 
Vaknaam  Mathematical Physics 
Niveau(s)  propedeuse 
Voertaal  Engels 
Periode  semester II b 
ECTS  5 
Rooster  rooster.rug.nl 
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 Calculus 3 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)
(Lectures: 32 hours, Tutorials: 32 hours, Homework assignment: 48 hours, Self study: 28 hours.) 

Toetsvorm 
Opdracht (AST), Schriftelijk tentamen (WE)
(Homework assignments, midterm exam and final exam. If the mark for the final exam is 4.5 or higher then the grade for the course will be determined by max(0.2 average grade for the homework assignments + 0.2 Midterm exam + 0.6 Final exam). If the mark for the final exam is 4.5 or lower then the grade for the course will be the mark for the final exam. If a resit exam is taken then the grade for the course will be the mark of the resit exam (i.e. homework and the midterm exam are not taken into account in this case)) 

Vaksoort  propedeuse  
Coördinator  prof. dr. G. Palasantzas  
Docent(en)  prof. dr. G. Palasantzas  
Verplichte literatuur 


Entreevoorwaarden  The course unit assumes prior knowledge acquired from Calculus 1. The course is compulsory for students from the BSc Programs Physics and Applied Physics, and Astronomy.  
Opmerkingen  
Opgenomen in 
