| 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 | 021203 | ||
| Instructor(s) | |||||
| 西村 滋人 [NISHIMURA Shigeto] | |||||
| Facility affiliation | Graduate School of Engineering | Office | Email address | ||
| Course description |
| In this course, we will learn the differentiations and the integrations of various functions with 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 understand how to calculate extreme maximal and minimum values of functions, and (2) to master basic methods of the differentiations and the integrations of various functions. |
| Course schedule |
|
1. Continuity of real numbers and limits of functions 2. Continuity of functions 3. Differentiations of functions with one variable 4. Differentiations of inverse trigonometric functions 5. Differentiations in high order 5. The mean-value theorem 6. Taylor's theorem 8. Maximal and minimal of functions 9. Definite integration 10. Indefinite integrations and fundamental theorem of calculus 11. Exercises on integrations 12. Integrations of rational functions 13. Integrations of trigonometric functions 14. Integrations of irrational functions 15. Improper integral |
| Prerequisites |
| Required Text(s) and Materials |
| Mathematics in high schools ( Mathematics I, II, III etc.) |
| References |
| Assessment/Grading |
| Results of the common examination at the last of the term |
| Message from instructor(s) |
| Course keywords |
| Limit, Differentiation, Taylors Series, Fundamental theorem of calculus, Improper integral. |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Language Subject |
| Last update |
| 4/6/2017 6:10:06 PM |