▶Japanese
Post to SNS
- Home
- > School of Science
- > Undergraduate major in Earth and Planetary Sciences
- > Mathematics for Physics A (EPS course)
- School of Science
-
School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
- Undergraduate major in Information and Communications Engineering
- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
- School of Environment and Society
- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
-
School of Environment and Society
- Department of Architecture and Building Engineering
- Department of Civil and Environmental Engineering
- Department of Transdisciplinary Science and Engineering
- Department of Social and Human Sciences
- Department of Innovation Science
- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Earth and Planetary Sciences
- Instructor(s)
- Nakajima Junichi Aso Naofumi
- Class Format
- Lecture / Exercise
- Media-enhanced courses
- Day/Period(Room No.)
- Mon5-8(I311) Thr5-8(I311)
- Group
- -
- Course number
- EPS.B201
- Credits
- 4
- Academic year
- 2019
- Offered quarter
- 1Q
- Syllabus updated
- 2019/3/18
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
This course covers the mathematical basis necessary for understanding the physical phenomena in Earth and planetary sciences. Especially, the mathematical skills learned in this course is fundamentally required in all geophysics courses in the Department of Earth and Planetary Sciences. The specific aim of this course is for students to clearly understand the basic concepts of the fundamental mathematics including vector operations, differential equations, and the Fourier transform, and to nurture the mathematical skill necessary for studying Earth and planetary science. Following the systematic explanation in the lecture, students learn mathematical knowledge and skills by solving problems proactively throughout exercises.
Student learning outcomes
By the end of this course, students will learn the mathematical basis required for understanding Earth and planetary sciences including:
1) Vector operations
2) Solution of ordinary and partial differential equations
3) The Fourier transform
4) The delta function and Green’s functions
Keywords
vector, scalar, differential equation, Fourier transform, Laplace transform, Gauss divergence theorem
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
In each class, students are given a systematic explanation about the topic of the day during the first half of the class and do exercises during the last half of the class. Although there are no specific assignments, students are required to answer a quiz every class, which is used to evaluate the understanding level.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Vector analysis | Understand vector analysis |
| Class 2 | Vector analysis (gradient, divergence, rotation) | Understand vector analysis |
| Class 3 | Gauss divergence theorem and Stokes theorem | Understand surface integral and volume integral |
| Class 4 | Vector analysis for cylindrical coordinates and polar coordinates | Understand vector analysis for cylindrical and polar coordinates |
| Class 5 | Vector analysis for cylindrical coordinates and polar coordinates | Understand vector analysis for cylindrical and polar coordinates |
| Class 6 | 1st order differential equation | Understand 1st order differential equation |
| Class 7 | Constant-coefficient 2nd order differential equation | Understand constant-coefficient 2nd order differential equation |
| Class 8 | variable coefficient linear differential equation | Understand simultaneous differential equations |
| Class 9 | complex analysis | Understand complex analysis |
| Class 10 | Fourier series and Fourier transform | Fourier series and Fourier transform |
| Class 11 | Delta function and Green's function | Understand Delta function and Green's function |
| Class 12 | partial differential equation | Understand partial differential equation |
| Class 13 | boundary value problem for ordinary differential equation | Understand boundary value problem for ordinary differential equation |
| Class 14 | Laplace transform | Understand Laplace transform |
| Class 15 | comprehension check | Check the understanding of this course |
Textbook(s)
While there is no specified textbook, some are suggested during the class.
Reference books, course materials, etc.
Not specified.
Assessment criteria and methods
Scores are based on the final exam and quiz at every class.
Related courses
- EPS.B210 ： Mathematics for Physics B (EPS course)
Prerequisites (i.e., required knowledge, skills, courses, etc.)
No prerequisites.
Contact information (e-mail and phone) Notice : Please replace from "[at]" to "@"(half-width character).
Naofumi Aso（aso[at]eps.sci.titech.ac.jp)
Office hours
No regular schedule but can be arranged upon request. Please make an appointment by e-mail in advance.
