Hiroshima University Syllabus

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Japanese
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. 
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