| Course title | |||||
| 工学基礎数学 [Fundamental Mathematics for Engineering] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | 1st | |
| Course type | 1st | Course code | 021201 | ||
| Instructor(s) | |||||
| 三沢 和彦 [MISAWA Kazuhiko] | |||||
| Facility affiliation | Faculty of Engineering | Office | Room 513, Engineering Building 4 | Email address | |
| Course description |
|
The purpose of this lecture and exercise is to understand the meaning and role of mathematics in science and technology. By practicing mathematical expressions of various phenomena, students will acquire basic skills that will be useful for specialized courses and graduation research in the Department of Biomedical Engineering. |
| Expected Learning |
|
(1) To be able to explain the meaning and role of calculus in science and technology. (2) To be able to express phenomena whose state depends on time by equations and to explain the temporal changes of the phenomena. (3) To be able to express phenomena whose state depends on time and coordinates by equations, and to explain the temporal and spatial changes of the phenomena. |
| Course schedule |
|
1. on April 7: "Meaning and role of differential calculus in science and technology" (in Japanese) 2. on April 14: "Let's try to explain the movement of human body by equations of motion -Vertical jump and walking motion 3. on April 21: "Differential Equations of Dynamic Phenomena and Second-Order Constant-Coefficient Linear Differential Equations" 4. on April 28 :"Let's explain the workings of cell membranes by the equations of electric circuits. -Cell membrane potential 5. on May 12: "Differential Equations of Electromagnetic Phenomena and Second-Order Non-Constant-Coefficient Linear Differential Equations" 6. on May 19: "Let's explain sound waves propagating inside the body using the wave equation. 7. on May 26: "Solving Second-Order Homogeneous and Non-Homogeneous Constant-Coefficient Linear Differential Equations 8. on June 2: "Let's check your level of understanding in Comprehensive Exercise 1" 9. on June 9: "Let's express the laws of electromagnetism by integration" -Electric field created by electric charge, magnetic field created by electric current, electromagnetic induced electromotive force 10. on June 16: "Line integrals and their differential forms - Stokes' theorem" 11. on June 23: "Area integral and its differential form -Gauss' theorem-" 12. on June 30: "Law of Conservation of Electric Charge -Density and Flux-" 13. on July 7: "Volumetric Divisors and Their Differential Forms 14. on July 14: "Let's get used to differential operations of vectors" 15. on July 21: "Let's check your level of understanding in Comprehensive Exercise 2" |
| Prerequisites |
| None in particular |
| Required Text(s) and Materials |
| Preparation and review materials will be available on Google Classroom. |
| References |
|
A Visual Guide to Physical Mathematics: Calculus and Ordinary Differential Equations in One Variable," Masahiro Maeno (Tokyo Tosho) Introduction to Physical Mathematics II: Differential Equations and Complex Functions," Chun Wa Wong (Maruzen) Physics for Biology and Medicine," Paul Davidovits (Kyoritsu Shuppan) Physics in Medical Diagnosis," T. A. Delchar (Chapman & Hall) Physics for Medical Sciences," Koichi Sato and Toshiyuki Fujishiro (Tokyo Kyogakusha) The Secret of Calculus Physics" Hitoshi Yama(Asakura Publishing Co., Ltd.) Hitoshi Yama (Asakura Shoten) Differential Equations as Tools" (Blue Backs), Kyoichi Saito (Kodansha) Physics with Mathematics," Hisashi Takebe (Nippon Hyoronsha) Fundamentals of Medical Engineering," Kenjun Dohi (Tokyo Denki University Press) Differential Equations Anyone Can Understand," Sonoko Ishimura (Kodansha) Differential Equations for Easy Learning," Sonoko Ishimura (Kyoritsu Publishing Co., Ltd.) |
| Assessment/Grading |
| Students will be graded on the basis of a confirmation test given during each lecture and submission of assignments at the end of the lecture. The test will be given during the comprehensive exercise in the 8th lecture on June 2 and the 15th lecture on July 21. The evaluation of points will be based on the examinations given during the general practice time at the 8th seminar on June 2 and the 15th seminar on July 21. |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| Questions will be accepted on Google Classroom at any time. |
| Remarks 1 |
|
Google Classroom Class Code u4hsvbg |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 4/24/2022 12:55:47 PM |