講義紹介動画

Guidance for Mathematics (English Class) 2014 Fall Semester (11分) 

講義概要

Calculus II B is a continuation of Calculus I. The computation and objects introduced formally in Calculus I are explained in rigorous way and logical proves are given.

講義の目的

To develop and strengthen the understanding of what you have learned in Calculus I by introducing rigorous methods and proofs.

講義計画

1. Convergence and divergences of a sequence of points
2. Limit and Continuity of functions
3. Continuity of real numbers
4. Uniform convergence of a sequence of functions
5. Changing the order of differentiation and integral
6. Infinite series
7. Series of functions
8. Critical points, maximum and minimum of functions of two or more variables
9. Taylor's expansion, Taylor series

教科書・参考書等

Japanese textbook - 微分積分講義 by Mimachi Katsuhisa, Nippon Hyoron Sha Co.,Ltd.
You will have English handouts.

関連科目・履修の条件等

You are required to register together with the course "Exercise in Calculus II (Course no. 1281)".
You can't only take "Calculus II B (Course no. 1081)".

成績評価

Based on the results of tests, mid-term exam and final exam. Details to be explained on first lecture.

担当教員の一言

The course will contain the same amount of mathematical knowledge as Japanese courses, but with the advantage of learning mathematical English.

連絡先（メール、電話番号）

<Contact>
Email : brezina.j.aa＠m.titech.ac.jp
Office : Room 219, Main Bldg., Ookayama

オフィスアワー

After an email contact. Details to be explained during first class.