| Course title | |||||
| 微分積分学Ⅰおよび演習 [Calculus Ⅰ] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 3 | |
| Department | Year | 1～4 | Semester | Spring | |
| Course type | Spring | Course code | 021704 | ||
| Instructor(s) | |||||
| 中園 信孝 [NAKAZONO Nobutaka] | |||||
| Facility affiliation | Graduate School 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 |
|
There are twelve lectures and one unified exam. 1st: Sequence and its limit 2nd,3rd: Limit and continuousness of a function 4th,5th: Differential of a function 6th,7th: Mean-value theorem and Taylor's theorem 8th,9th: Indefinite integral and definite integral 10th,11th: Improper integral 12th: Applications of calculus 13th: Unified exam |
| 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 |
| Tomoyuki Takenawa, Core text Bibun-Sekibun, SAIENSU-SHA (in Japanese) |
| Assessment/Grading |
| Your result will be evaluated by the assignments, quizzes and unified exam. |
| Message from instructor(s) |
| Course keywords |
| I will receive your questions after class. |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Language Subject |
| Last update |
| 3/27/2018 12:00:44 PM |