| 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 | 01MA0502d | ||
| Instructor(s) | |||||
| 間瀬 崇史 [MASE Takafumi] | |||||
| Facility affiliation | Graduate School of Agriculture | Office | 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 including chemistry and biology. |
| 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. |
| Course schedule |
|
1. Sets, maps and logic 2. Limits of sequences 3. Limits and continuity of functions 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. Midterm exam 10. Indefinite integrals 11. Riemann integrals 12. Exercises of integrations 13. Improper integrals 14. Areas of figures and lengths of curves 15. Final exam |
| Prerequisites |
| Mathematics in high school (especially Mathematics III) is necessary. |
| 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 |
| 9/25/2017 6:39:21 PM |