Course title
物理数学Ⅱ   [Mathematical Physics Ⅱ]
Course category technology speciality courses,ets.  Requirement   Credit 2 
Department   Year 24  Semester Fall 
Course type Fall  Course code 022615
Instructor(s)
畠山 温   [HATAKEYAMA Atsushi]
Facility affiliation Faculty of Engineering Office   Email address

Course description
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.
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
Required Text(s) and Materials
References
Wong, "Introduction to Mathematical Physics Methods & Concepts" (2nd ed., Oxford)
Assessment/Grading
Message from instructor(s)
Course keywords
Office hours
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
3/28/2017 11:28:46 AM