| Course title | |||||
| 微分積分学Ⅰ [CalculusⅠ] | |||||
| Course category | general education courses | Requirement | Credit | 2 | |
| Department | Year | 1～ | Semester | Fall | |
| Course type | Fall | Course code | 01MA0502b | ||
| Instructor(s) | |||||
| 大川 領 [] | |||||
| Facility affiliation | Graduate School of Agriculture | 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 understand basic concepts of calculus, and (2) 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. |
| Course schedule |
|
1. Limits 2. Continuous functions and elementary functions 3. Differentiations of functions 4. Formulae of differentiations 5. The mean value theorem 6. Limits involving indeterminate forms 7. High derivatives 8. Taylor's theorem, and its applications 1 9. Taylor's theorem, and its applications 2 10. Definite integrals and indefinite integrals 11. Integrations of rational functions 12. Integrations of irrational functions 13. Improper integrals 14. Exercises of various problems on integrals 15. Term examination |
| Prerequisites |
| Mathematics in high schools (in particular, Mathematics Ⅰ, Ⅱ, Ⅲ etc.) will be used in the lecture. |
| Required Text(s) and Materials |
| Miyake Toshitsune, “Nyuumon-Bibun-Sekibun”, Baifu-kan (in Jananese) |
| References |
| Assessment/Grading |
| Term examination (100%) |
| Message from instructor(s) |
| Course keywords |
| Differentiation, Taylor expansion, Limit of indeterminate form, Integration of rational function, Improper integral |
| Office hours |
| ohkawa.ryo@aoni.waseda.jp |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 9/20/2017 2:46:31 PM |