Course title
物理数学Ⅰ   [Mathematical Physics Ⅰ]
Course category	technology speciality courses,ets.	Requirement		Credit	2
Department		Year	1～4	Semester	Fall
Course type	Fall	Course code	021614
Instructor(s)
村山 能宏   [MURAYAMA Yoshihiro]
Facility affiliation	Faculty of Engineering	Office		Email address

Course description

Mathematics is a powerful tool to understand and explain physical phenomena. In this course, students will learn the fundamental mathematics necessary for physics. Students must take both lecture and exercise courses.

Expected Learning

1. Students will be able to understand that mathematics is a powerful and necessary tool for physics. 2. Students will be able to apply mathematics to understanding and explaining physical phenomena.

Course schedule

Week 1: Partial differential, Derivative of a composite function, Taylor expansion Week 2: Complex number, Euler’s formula Week 3: First-order linear ordinary differential equation Week 4: Second-order linear ordinary differential equation Week 5: Application of differential equation for physics Week 6: Inner (scalar) product and Outer (vector) product of vectors Summary of the first half Week 7: Coordinate transformation Week 8: Multiple integral 1 Week 9: Multiple integral 2 Week 10: Scalar and Vector fields Week 11: Line integral Week 12: Scalar field and gradient Week 13: Surface integral Week 14: Curl (Rotation) of vector field Summary of the last half

Prerequisites

Required Text(s) and Materials

References

Assessment/Grading

Intermediate examination: 50% Final examination: 50% (Identical examinations for lecture and exercise courses)

Message from instructor(s)

Course keywords

Complex number, Ordinary differential equation, Coordinate transformation, Multiple integral, Vector field, Scalar field, Differential and integral of vector

Office hours

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

3/22/2017 4:26:49 PM