| Academic Year |
2024Year |
School/Graduate School |
School of Science |
| Lecture Code |
HC260000 |
Subject Classification |
Specialized Education |
| Subject Name |
物理数学Ａ |
Subject Name
（Katakana） |
ブツリスウガクA |
Subject Name in
English |
Mathematics for Physics A |
| Instructor |
NAKAJIMA NOBUO |
Instructor
(Katakana) |
ナカジマ ノブオ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, First Semester |
| Days, Periods, and Classrooms |
(1T) Weds3-4：SCI E104, (2T) Tues5-6：SCI E104 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lecture |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
J
:
Japanese |
| Course Level |
1
:
Undergraduate Introductory
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
06
:
Physics |
| Eligible Students |
Mainly, freshpersons of department of Physical Science, Faculty of Science |
| Keywords |
2x2 matrix and eigen values, Introduction to vector operation (inner and outer products, derivation and integration), Polar coordinates, Series expansion, Differential equation |
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | Elementary mathematics required for the general physics. |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | Physics
（Abilities and Skills）
・Mathematical ability to describe physical items. |
|---|
Class Objectives
/Class Outline |
To describe the motion of an object by vectors.
To solve the equations of motion, i.e. differential equations.
To master 2x2 matrix calculation |
| Class Schedule |
1. Matrix notation, addition and subtraction. Vector notation, inner and outer products.
2. Products of matrix. Derivation and integration of vectors.
3. Unit matrix and zero matirx, commutation of matrix. Tangential and normal accelerations.
4. Inverse matrix, determinant. Introduction to the differential equation. Equation of motion with frictional force (1st order differential equation).
5. Diagonal matrix. Series expansion. Euler equation. Complex number.
6. Matrix and coupled equation. Equation of motion for the simple harmonic oscillation.
7. Diagonalization of matrices. Damped oscillation, forced oscillation.
8. Point transfer matric and linear transformation. Wronskian.
9. Mid-term examination (planned)
10. Combined transformation. Polar coordinates
11. Rotation matrix. General solutions of differential equations.
12. Operator method for differential equation.
13. Simultaneous differential equation.
14. Resonance phenomena amd Q value.
15. Final examination
Mid-term and final examinations as well as short reports related to each lecture.
The schedule will be adjusted depending on the level of understanding. |
Text/Reference
Books,etc. |
Please find some textbook for elementary vector analyses and differential equations. |
PC or AV used in
Class,etc. |
|
| (More Details) |
Blackboard, prints |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Each lecture (1-15) is strongly related to each other. Do not leave anything unclear. |
| Requirements |
|
| Grading Method |
Mid-term exam. (ca. 50%), Final exam. (ca. 50%). |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
This lecture is closely linked to other lectures opened in the same semester:Exercises of Physical Sciences A and Mechanics A. |
| Other |
|
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |