| Course title | |||||
| 微分方程式Ⅰ [Differential Equation Ⅰ] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | Spring | |
| Course type | Spring | Course code | 022302 | ||
| Instructor(s) | |||||
| 金城 謙作 [KINJO Kensaku] | |||||
| 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 with one variable, and their properties. |
| Expected Learning |
|
The goal 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 and logarithmic function, 2. to understand how to calculate the values at maxima and minima of functions, and 3. to be capable of performing practical computations on determining areas of figures and length of curves. |
| Course schedule |
|
1. Real numbers 2. Continuity of functions 3. Differentiations of functions 4. The mean-value theorem 5. Differentiations in high order 6. Local maxima and minima, and graphs of curves 7. Taylor’s theoremⅠ 8. Taylor’s theoremⅡ 9. Definite integrations and indefinite integrationsⅠ 10. Definite integrations and indefinite integrationsⅡ 11. Exercises on integrations Ⅰ 12. Exercises on integrations Ⅱ 13. Improper integrations 14. Applications of definite integrations 15. Term examination A common examination will be conducted extra at the last if the term in the adjustment period for all the classes of this course. |
| Prerequisites |
| Mathematics in high schools (in particular, Mathematics Ⅲ) will be used in this lecture. |
| Required Text(s) and Materials |
| MIYAKE Toshitsune, “Nyuumon Bibun Sekibun”, Baifu-kan, ISBN 978-4-563-00221-3, (in Japanese) |
| References |
| Assessment/Grading |
| The term examination, the common examination, and mini tests. |
| Message from instructor(s) |
| You can ask me anything whenever you want. Enjoy mathematics and celebrate the joy of youth. |
| Course keywords |
| Differentiation, Taylor expansion, Limit of indeterminate form, Integration of rational function, Improper integral. |
| Office hours |
| Before or after the class. Ask me if it is inconvenient. I may be able to change the date. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Language Subject |
| Last update |
| 4/6/2017 4:30:34 PM |