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開講年度 2019年度 開講箇所 基幹理工学部
Calculus C (1)

English-based Undergraduate Program

担当教員 ボーウェン マーク
学期曜日時限 春クォーター  01:水3時限/02:金1時限
科目区分 数学 配当年次 2年以上 単位数 2
使用教室 01:61-214教室/02:61-214教室 キャンパス 西早稲田(旧大久保)
科目キー 26M0210003 科目クラスコード 01
授業で使用する言語 英語
  コース・コード MATX13ZL
大分野名称 数学
中分野名称 数学
小分野名称 解析学
レベル 初級レベル(入門・導入) 授業形態 講義


最終更新日時:2019/08/02 18:55:24

Note: The eligible year for EBSE September enrollees is different from the above. Please make sure to check “Students HANDBOOK”.

This is an introductory calculus course taught in English.  

Calculus C covers multi-variable integral calculus and assumes previous study of single and multi-variable differential calculus.  We will also consider applications of the results to various fields of science and engineering.

This course also aims to increase the students' academic/scientific English vocabulary.
授業の到達目標 Learning Goals:

1) Gain an understanding of methods of (primarily) multi-variable integral calculus

2) Understand how to apply methods from multi-variable integral calculus to solving problems arising in applications.

3) Expand English language science/engineering vocabulary
事前・事後学習の内容 Students should review their notes after every class.
授業計画 Week 1

April 10th: Double integrals
April 12th: Double integrals over non-rectangular domains

Week 2

April 17th: Triple integrals in Cartesian coordinates
April 19th: Examples class 1

Week 3

April 24th: Polar coordinates
April 26th: Double integrals in polar coordinates

Week 4

May 8th: Triple integrals in cylindrical and spherical coordinates
May 10th: Moments and centres of mass

Week 5

May 15th: Integral substitutions
May 17th: Examples class 2

Week 6

May 22nd: Line integrals through scalar fields
May 24th: Line integrals through vector fields

Week 7

May 29th: Conservative vector fields
May 31st: Review class

Week 8

June 5th:  In-class examination and review
教科書 There is no assigned textbook for this course.
参考文献 The lecturer will talk about recommended reference texts in the first class.
割合 評価基準
試験: 70% In-class examination -- the in-class examination will take place during the final class in the regular class period.
その他: 30% Continuous assessment (Quizzes, homework and so on)
備考・関連URL In general, late homework will not be accepted.  if you are late turning in a homework due to special circumstances such as illness, emergencies, or public transportation problems, please see me.


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