| Course title | |||||
| 微分積分学Ⅰ [CalculusⅠ] | |||||
| Course category | Requirement | Credit | 2 | ||
| Department | Year | 1～ | Semester | 3rd | |
| Course type | 3rd | Course code | 01ma1002b | ||
| Instructor(s) | |||||
| 間瀬 崇史, 畠中 英里 [MASE Takafumi, HATAKENAKA Eri] | |||||
| Facility affiliation | Graduate School of Agriculture | Office | 3-211 | Email address | |
| Course description |
|
This course covers differentiation and integration of functions of one variable. Calculus is the foundation of modern mathematics. It plays an important role in understanding a wide range of fields such as statistics, chemistry and biology. Takafumi Mase (a part-time lecturer) will be in charge of this course. |
| Expected Learning |
|
The goals of this course are to (1) Learn the calculation skills of differentiation / integration of functions of one variable. (2) Understand the basic theory of differentiation / integration of functions of one variable. Corresponding criteria in the Diploma Policy: See the Curriculum maps. (URL: https://www.tuat.ac.jp/campuslife_career/campuslife/policy/ ) |
| Course schedule |
|
1. Real numbers 2. Limits and continuity of functions I 3. Limits and continuity of functions II 4. Differentiation 5. Elementary functions 6. Mean value theorem and Taylor's theorem I 7. Mean value theorem and Taylor's theorem II 8. Mean value theorem and Taylor's theorem III 9. Exercise Midterm exam 10. Indefinite integrals 11. Riemann integrals 12. Exercises of integrations 13. Improper integrals 14. Plane curves 15. Exercise Final exam |
| Prerequisites |
|
Mathematics in high school (especially Mathematics III) is necessary. In addition to 30 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 handouts as well as the references specified below. |
| Required Text(s) and Materials |
| References |
| Assessment/Grading |
| Midterm exam (40%), Final exam (60%) |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 6/3/2019 12:31:32 PM |