2020 Mathematics for Physics A (EPS course)

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Academic unit or major
Undergraduate major in Earth and Planetary Sciences
Instructor(s)
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
2020
Offered quarter
1Q
Syllabus updated
2020/9/18
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 learn 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

scalar, vector, differential equation, Fourier transform

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 calculus 1 Vector analysis
Class 2 Vector calculus 2 Vector derivative
Class 3 Vector calculus 3 Integrals of a vector field
Class 4 Vector calculus 4 Integral theorems
Class 5 Vector calculus 5 Curvilinear coordinates and scale factors
Class 6 Vector calculus 6 Vector calculus in curvilinear coordinates
Class 7 Vector calculus 7 Matrices
Class 8 Differential equation 1 1st order differential equations
Class 9 Differential equation 2 2nd order differential equations
Class 10 Differential equation 3 Higher order differential equations
Class 11 Fourier transform 1 Fourier series and Fourier transform
Class 12 Fourier transform 2 Delta function, power spectrum, and discrete Fourier transform
Class 13 Fourier transform 3 Differential equation and Fourier transform
Class 14 Final exam Comprehension check

Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend a certain length of time outside of class on preparation and review (including for assignments), as specified by the Tokyo Institute of Technology Rules on Undergraduate Learning (東京工業大学学修規程) and the Tokyo Institute of Technology Rules on Graduate Learning (東京工業大学大学院学修規程), for each class.
They should do so by referring to textbooks and other course material.

Textbook(s)

While there is no specified textbook, some could be 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.

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