Course title
物理数学Ⅱ   [Mathematical Physics Ⅱ]
Course category	technology speciality courses,ets.	Requirement		Credit	2
Department		Year	2～4	Semester	3rd
Course type	3rd	Course code	022615
Instructor(s)
畠山 温   [HATAKEYAMA Atsushi]
Facility affiliation	Faculty of Engineering	Office		Email address

Course description

As a required subject in the curriculum of applied physics, this lecture deals with some mathematical techniques required in physics. The subjects are vector analysis, functions of a complex variable, and Fourier analysis.

Expected Learning

Students are expected to understand the basic concepts of vector analysis, functions of a complex variable, and Fourier analysis, and apply those knowledge to physics problems. Corresponding criteria in the Diploma Policy: See the Curriculum maps.

Course schedule

Week 1-5, Vector analysis Scalar fields, vector fields, gradient, divergence, rotation, Gauss's theorem, Stokes's theorem, orthogonal curvilinear coordinate systems Week 6-10, Functions of a complex variable Holomorphic functions, Cauchy integral theorem and integral formula, residue theorem, Taylor series and Laurent series, application to real integration Week 11-15, Fourier analysis Fourier series, Fourier transforms, Dirac delta function, Laplace transforms

Prerequisites

Students are recommended to prepare for and revise the lecture, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below.

Required Text(s) and Materials

The lecture notes are downloadable on the Moodle.

References

Wong, "Introduction to Mathematical Physics Methods & Concepts" (2nd ed., Oxford)

Assessment/Grading

3 examinations 90% (30% each), reports 10%

Message from instructor(s)

Course keywords

Office hours

On demand.

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

3/9/2019 8:02:04 PM