| Course title | |||||
| 物理数学Ⅰ [Mathematical Physics Ⅰ] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | 1st | |
| Course type | 1st | Course code | 022624 | ||
| Instructor(s) | |||||
| 香取 浩子 [KATORI Hiroko] | |||||
| Facility affiliation | Faculty of Engineering | Office | Email address | ||
| Course description |
|
Natural laws in chemistry and physics are written by mathematics. Mathematics will provide very useful tools to solve many important and interesting problems in chemistry and physics. In this lecture. basic principles of mathematics are introduced,and then applications to chemistry and physics are clearly explained. The lectures include differential and integral calculus, series expansions, differential equations, linear algebra, vector analysis,and some advanced topics. |
| Expected Learning |
|
Students are expected to understand the following basic principles of mathematics, (1) Concept of vector, differential, and integral, (2) Solving a Simple Differential Equation, (3) simple matrix operation, (4) Simple vector analysis calculation, and to understand how to apply mathematics to Mechanics, Electromagnetism and others in Chemistry and Physics. Corresponding criteria in the Diploma Policy: See the Curriculum maps. |
| Course schedule |
|
No.1 Introduction No.2 Definition of vectors and their basic properties No.3 Coordinate representations of vectors No.4 Differential calculus and differential equations of motions, Summary of Chapter 1 (small test) No.5 Taylor expansions and approximations No.6 Partial differentials and total differentials No.7 Transformations of integral variables for multiple integrals, Summary of Chapter 2(small test) No.8 Applications of multiple integrals to rigid body rotations No.9 Introduction to differential equations, Summary of Chapter 3(small test) No.10 Some applications of differential equations No.11 Matrix calculus and determinants, Summary of Chapter 4(small test) No.12 Eigenvalue and eigenvector problems No.13 Introduction to vector analysis, Summary of Chapter 5(small test) No.14 The Gauss theorem and the Stokes theorem No.15 Summary (final examination) |
| Prerequisites |
|
Basic knowledge of mathematics learned in high school is necessary. Students are recommended to prepare for and revise the lecture, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below. |
| Required Text(s) and Materials |
| 香取眞理・中野 徹 著「物理数学の基礎」2001年（サイエンス社）ISBN 4-7819-0981-7 |
| References |
| Reference books are introduced in the first lesson, |
| Assessment/Grading |
|
Small test (5 times × 10% = 50%) at the end of chapter 1 to chapter 5 of the textbook. Final examination (50%) |
| Message from instructor(s) |
| Course keywords |
| differential and integral calculus, series expansions, differential equations, vector analysis |
| Office hours |
| On demand. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 5/23/2019 5:32:05 PM |