- 担当教員
- BREZINA JAN
- 使用教室
- 火1-2(H104)
- 単位数
- 講義：2 演習：0 実験：0
- 講義コード
- 1021
- シラバス更新日
- 2015年6月8日
- 講義資料更新日
- 2015年6月9日
- 学期
- 前期 / 推奨学期：1
講義概要
In Calculus I we first revise our high-school knowledge on integration and differentiation of functions of one-variable and then expand these ideas for functions of multivariables. This course is focused on learning new notions and ability to work with them, i.e., calculate.
講義の目的
To develop and strengthen the ability to calculate derivatives and integrals. This course gives you the ability to use the tools necessary in other technical courses.
講義計画
1. Maps and functions, exponential function, logarithmic function, trigonometric functions.
2. Hyperbolic functions，inverse trigonometric functions.
3. Differentiation and integration of elementary functions, indefinite integral of rational functions.
4. Multivariable functions, limit and continuity.
5. Partial differentiation, partial derivatives
6. Derivatives of higher order, order of partial differentiation
7. Derivatives of a composite function (chain rule).
8. Area, volume.
9. Integration of multivariable functions
10. Multiple integral and iterated integral.
11. Changing the order of integration.
12. Change of variables (under the integral sign).
13. Examples using transformation of coordinates.
14. Application of multiple integral (area and volume).
15. Improper integral.
教科書・参考書等
The course does not follow any book specifically, there will be English handouts.
You can compare with any English or Japanese textbook on introduction to university calculus you find online or
in the library. The main topics are always the same.
関連科目・履修の条件等
You should register together with the course "Exercise in Calculus I (Course No. 1231)".
成績評価
Based on the results of tests, mid-term exam and final exam. Also your work during semester counts. Details to be explained on first lecture (see content of the first class).
担当教員の一言
The course contains the same amount of mathematical knowledge as its Japanese alternatives, but with the advantage of learning mathematical English. Getting used to mathematical English from the beginning will easy your further studies and future work.
連絡先（メール、電話番号）
<Contact>
Email : brezina＠math.titech.ac.jp
Office : Room 219, Main Bldg., Ookayama Campus
TA information:
Name: Hiroki Murakami
Email: murakami.h.ah＠m.titech.ac.jp
Office: H316
オフィスアワー
First send me an email to set up a time.
