| Course title | |||||
| 微分積分学Ⅰおよび演習 [Calculus Ⅰ] | |||||
| Course category | technology speciality courses | Requirement | Credit | 3 | |
| Department | Year | 1～4 | Semester | 1st | |
| Course type | 1st | Course code | 021915 | ||
| Instructor(s) | |||||
| 村田 実貴生 [MURATA Mikio] | |||||
| Facility affiliation | Faculty of Engineering | Office | Room 213, Building 12, Koganei | Email address | |
| Course description |
| Calculus provides indispensable tools to analyze various mathematical changes appearing in natural and social phenomena. In this course, we will learn the differentiations and the integrations of various functions of one variable and their properties. We will practice advanced computations in this course rather than in high schools. |
| Expected Learning |
|
The goals of this course are (1) to master basic methods of the differentiations and the integrations of various functions, such as polynomials, rational and irrational functions, trigonometric functions, exponential functions and logarithmic functions, (2) to understand how to calculate extreme maximal and minimum values of functions, and (3) to be capable of performing practical computations on determining areas of figures and lengths of curves. Corresponding criteria in the Diploma Policy: See the Curriculum maps. |
| Course schedule |
|
1. Real numbers 2. Continuous functions 3. Elementary functions 4. Limit 5. Differentiations of functions 6. The mean-value theorem 7. Higher order derivatives 8. Taylor's theorem 9. Summary of the first half 10. Indefinite integrals and definite integrals 11. Calculation of integrals 12. Improper integrals 13. Piecewise quadrature method and application of definite integrals 14. Summary of the whole 1 15. Summary of the whole 2 Midterm examination will be held in the ninth class. Final examination will be conducted extra at the last of the term in the adjustment period. |
| Prerequisites |
|
It is categorized into technology speciality courses. In addition to 60 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the university and using the lecture notes as well as the text book specified below. |
| Required Text(s) and Materials |
| Miyake, Toshitsune (1992) Nyumon Bibunsekibun, Baifukan |
| References |
| Assessment/Grading |
|
Midterm examination (40％)，Final examination (40％)，Exercises (20％) Grade distribution(2020); Ｓ：5名(7.5％)，Ａ：16名(23.9％)，Ｂ：24名(35.8％)，Ｃ：20名(29.9％)，Ｄ：2名(3.0％) |
| Message from instructor(s) |
| To understand natural science, Calculus is a very important basic study. Please learn not to be frustrated until the end. |
| Course keywords |
| Differentiation, Taylor expansion, Limit of indeterminate form, Integration of rational function, Improper integral |
| Office hours |
| From 14:45 to 16:15 on Friday |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 9/27/2021 1:20:42 PM |