Courses Catalogue

Mathematical Physics Ii

COURSE CODE: PHY2109
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Physics BSc
COLLEGE/SCHOOL/FACULTY: School of Natural and Applied Sciences
STATUS: Core
PROGRAMME TYPE: Undergraduate

Course Description

COURSE DESCRIPTION

 

Topics include linear ordinary differential equations, variational calculus.

 

COURSE JUSTIFICATION/RATIONALE

 

To provide students with the necessary skills and confidence to apply a range of mathematical methods to problems in the physical sciences

 

LEARNING OBJECTIVES

 

By the end of this course, the student should be able to:

§  Solve mathematical problems with applications in Physics using infinite dimensional vector spaces, including expansions in orthogonal functions.

§  Solve ordinary differential equations.

§  Discuss linear partial differential equations using separation of variables, Green's functions, and transform methods.

 

LEARNING OUTCOMES

 

A student completing the course is expected to:

  • Evaluate partial derivatives and find critical points of functions of two variables
  • Evaluate integrals of simple functions over simple regions of the plane and simple volumes
  • Evaluate the gradient of a scalar field and the divergence and curl of a vector field
  • Express curves and surfaces in both parametric and implicit form
  • Evaluate line integrals and fluxes of vector fields over curves and surfaces
  • Apply the divergence theorem and Stokes' theorem
  • Identify and solve first order ODEs that are separable, linear or exact
  • Solve second order linear equations with constant coefficients
  • Solve simple second order differential equations
  • calculate Fourier series