| 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 | 021803 | ||
| Instructor(s) | |||||
| 村田 実貴生 [MURATA Mikio] | |||||
| Facility affiliation | Faculty of Engineering | Office | Room 213, Building 12, Koganei | 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 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, (2) to understand how to calculate extreme maximal and minimum values of functions, and (3) to be capable of performing practical computations on determining areas of figures and lengths of curves. |
| Course schedule |
|
week1: Numbers week2: Coordinates and vectors week3: Complex numbers and complex plane week4: Sequence of numbers week5: Functions week6: Functions 2 week7: Limits and continuity week8: Midterm examination week9: Differentiation week10: Higher order derivatives week11: Applications of derivatives week12: Taylor expansions week13: Definite integrals week14: Indefinite integrals week15: Improper integrals A common examination will be conducted extra at the last of the term in the adjustment period for all the classes of this course. |
| Prerequisites |
| Mathematics in high schools (in particular, Mathematics I, II, III etc.) will be used in the lecture. |
| Required Text(s) and Materials |
|
Satsuma, Junkichi (2001) Bibunsekibun Rikokeino-kisosugaku 1, Iwanami Shoten |
| References |
| Assessment/Grading |
|
Midterm examination (40％)，Final examination (40％)，Exercises (20％) |
| Message from instructor(s) |
| Course keywords |
| Differentiation, Taylor expansion, Limit of indeterminate form, Integration of rational function, Improper integral |
| Office hours |
| 15:00-16:00 on Friday, Room 213, Building 12, Koganei Campus |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/2/2017 10:21:35 AM |