| 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 |
|
Revised on May 10th. 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 No.8 Applications of multiple integrals to rigid body rotations No.9 Introduction to differential equations No.10 Some applications of differential equations No.11 Matrix calculus and determinants No.12 Eigenvalue and eigenvector problems No.13 Introduction to vector analysis No.14 The Gauss theorem and the Stokes theorem No.15 Summary |
| 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 |
|
The grade evaluation in this online class is premised on all attendances, and comprehensively evaluates the small test, quizzes, and Issues. Standard study time set by the our university is required to get the grade. The rate of evaluation is as follows: (1)Small test at the end of chapter 1 of the textbook. ・6 % × 1 time = 6 % (2)Small quizzes of simple description or choice at the beginning of lecture ・Review the problems in the lecture content from the previous week. ・The deadline for answers is 9:00 pm on the day of the lecture. ・5th to 15th lectures. 11 times in total. ・2 % x 11 times = 22% (3)Issues after the lecture ・Review questions of the lecture contents of this week. ・Evaluate the content of the submission. ・The deadline for submission is 23:59 this Thursday. ・4th to 15th lectures. 12 times in total. ・6 % x 12 times = 72% 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 |
| 5/12/2020 11:12:52 AM |