| Course title | |||||
| 化学物理数学 [Mathematics for Physics and Chemistry] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | 1st | |
| Course type | 1st | Course code | 021406 | ||
| Instructor(s) | |||||
| 香取 浩子 [KATORI Hiroko] | |||||
| Facility affiliation | Faculty of Engineering | Office | afjgxte/L1151 | 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 Purpose and procedure of this lecture. Definition of vectors. No.2 Basic topics of vectors, coordinate representation of vectors. No.3 Differentiation and equations of motion. No.4 Taylor expansion. No.5 Partial and total derivatives. No.6 Coordinate transformation of microelements. No.7 Kinetic energy of a rotating object. No.8 Introduction to differential equations No.9 Applications of differential equations. No.10 Matrices and determinants. No.11 Eigenvalue and eigenvectors No.12 Basics of vector analysis. No.13 Gauss's theorem and Stokes's theorem. No.14 Applications of vector analysis No.15 Summary(final exam) |
| 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 |
|
(1)Small quizzes of simple description or choice at the beginning of this lecture ・Review the problems in the lecture content from the previous week. ・2nd to 14th lectures. 13 times in total. ・1 % x 13 times = 13% (2)Issues after the lecture ・Review questions of the lecture contents of this week. ・Evaluate the content of the submission. ・1st to 14th lectures. 14 times in total. ・3 % x 14 times = 42 % (3)Final examination ・45 % Total 100% = 100 points. Pass with 60 points or more. |
| 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 |
| 3/11/2021 7:20:19 PM |