| Course title | |||||
| 微分積分学Ⅰおよび演習 [Calculus Ⅰ] | |||||
| Course category | technology speciality courses | Requirement | Credit | 3 | |
| Department | Department of Electrical Engineering and Computer Science, Electrical and Electronic Engineering(~2018), Computer and Information Sciences(~2018) | Year | 1～4 | Semester | 1st |
| Course type | 1st | Course code | 021916 | ||
| Instructor(s) | |||||
| 中園 信孝 [NAKAZONO Nobutaka] | |||||
| Facility affiliation | Faculty of Engineering | Office | 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. |
| Course schedule |
|
1. Sequence and its limit 2. Limit and continuousness of a function 3,4,5. Differential of a function 6,7,8. Indefinite integral and definite integral 9,10. Improper integral 11,12. Applications of calculus 13,14. Summary The midterm exam will be held at the sixth or seventh class, and the unified exam will be held at the end of a semester. I will let you know the detailed schedule during class. |
| Prerequisites |
| Mathematics in high schools (in particular, Mathematics I, II, III etc.) will be used in the lecture. |
| Required Text(s) and Materials |
| Makoto Nanba, Bibun-Sekibun-Gaku, SHOKABO Co., Ltd. (in Japanese) |
| References |
| Toshitsune Miyake, Introduction to College Calculus, Baifukan (in Japanese) |
| Assessment/Grading |
|
Midterm exam（40％），United exam（60％） For further details, I will let you know at the first class. |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| I will receive your questions after class. |
| Remarks 1 |
|
You can get the past United exams from the following url: http://web.tuat.ac.jp/~mathsci/exam.html I won't give you sample answers. Please solve them by yourselves. If you have a question or you want me to check your answer, please let me know. In such cases I happy to help you. |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/15/2019 9:43:48 AM |