MATHEMATICS B2 (CALCULUS OF SEVERAL VARIABLES)
理工学部 - 理工学部共通科目(英語コース)
SCT6700E
コース情報
担当教員: 真瀬 真樹子
単位数: 2
年度: 2024
学期: 秋学期
曜限: 木2
形式: オンデマンド授業
レベル: 100
アクティブラーニング: なし
他学部履修: 不可
評価方法
出席状況
レポート
詳細情報
概要
This is a calculus course taught in English covering differential and integral calculus of functions of several variables. Topics covered are listed under schedule. Students are expected to have knowledge of single variable calculus and some basic linear algebra.
目標
The objective of the course is to help students understand the fundamentals of multivariable calculus and expose them to practical applications.
授業外の学習
Assignments (exercises to solve, mid-term report and final report)
所要時間: More than 190 Minutes
スケジュール
- Introduction to functions with several variables
- Partial derivatives and differentials
- The chain rule
- Directional derivatives and the gradient vector
- Maximum and minimum values
- Lagrange multipliers and method of Lagrange multipliers
- Double integrals over rectangles and iterated integrals
- Double integrals over general regions
- Double integrals in polar coordinates
- Application of double integrals
- Triple integrals
- Triple integrals in cylindrical and spherical coordinates
- Change of variables in multiple integrals
- Applications of triple integrals
- Review
教科書
Textbook1(6th edition) can be found online at https://theswissbay.ch/pdf/Gentoomen%20Library/Maths/Calculus/Calculus%20-%20Early%20Transcendentals%206e.pdf
Calculus Early transcendentals
著者: James Stewart
出版社: Brooks-Cole, Cengage Learning, 2016
Calculus III
著者: Jerrold Marsden, Alan Weinstein
出版社: Springer-Verlag, 1985
参考書
書籍情報はありません。