Mathematical Methods | MSc in Electronics and Technology

Course overview

The aim of this course is to foster and promote knowledge of complex value functions, Fourier transform, Laplace transform, the founder and solution of mathematical and physics equations.The course covers the analysis of complex value functions, calculating some complex integrals with residues, character of special functions, for example, Bessel function, associate Legendre function, and the special Bessel functions. It also discussed the some solution of partial differential equations.

What you will learn

Meet your instructor

Youlin Geng

Course content

Session 1：Complex number and complex variable function (Part 1)
Session 2：Scalar fields and multivalued functions (Part 2)
Session 3：Integral of complex functions
Session 4：Power series expansion of complex functions
Session 5：Computer of residue series
Session 6: Fourier Transform
Session 7: Laplace Transform
Session 8: Founder of Mathematical and Physics Equation
Session 9: The solution of separated variable method to the Mathematical and Physics Equation
Session 10：Series solution of second order ordinary differential equation, eigenvalue problem
Session 11：Spherical functions
Session 12：Cylinder functions
Session 13：Green functions method
Session 14：Integral transformation

Teaching methodology

Lectures, group discussion for problem solving, project-based learning

Assessment

Midterm exam (40%) Will include combination of numerical exercises and open-ended theoretical questions.
Final written exam (60%) Will include combination of numerical exercises and theoretical questions