COLLEGE MATHEMATICS*
国際教養学部
AMTH1010
コース情報
担当教員: SCHUSTER Alfons
単位数: 4
年度: 2024
学期: 春学期
曜限: 月1, 木1
形式: 対面授業
レベル: 100
アクティブラーニング: あり
他学部履修: 可
評価方法
授業内期末試験
授業期間中
中間試験
授業期間中
小テスト等
その他
Mid-term exam and Final exam are in-class.
詳細情報
概要
Calculus is a branch of mathematics that deals with change and motion. In its core, calculus revolves around the definition, analysis, and application of derivatives and integrals of functions. Calculus is a fundamentally important subject, and as such, it is widely used in a great variety of fields, including science, economics, or engineering, naming just a few. Students participating in this course are introduced to the essential concepts, techniques, and applications of calculus. Topics covered in the course include, but are not necessarily limited to: functions and limits, derivatives, integrals, and infinite series.
目標
By the end of the semester students should be able to meet the following objectives: i) Students should have acquired an understanding of the inherently dynamic nature of calculus. ii) Students should be familiar with elementary functions and basic differentiation and integration rules and techniques. iii) Students should be able to apply the various tools that calculus provides in order to solve given problems. iv) Students should have developed an appreciation of calculus that reaches out beyond their respective fields of study.
授業外の学習
i) Preparation of class materials and reading assignments (60 minutes). ii) Work on class assignments (70 minutes). iii) Review class lectures and review assignments (60 minutes).
所要時間: 190 minutes
スケジュール
- Introduction to the course
- Functions and limits
- Functions and limits
- Functions and limits
- Derivatives
- Derivatives
- Derivatives
- Review and exercises
- Applications of differentiation
- Applications of differentiation
- Applications of differentiation
- Integrals
- Integrals
- Integrals
- Midterm exam
- Inverse functions
- Inverse functions
- Inverse functions
- Techniques of integration
- Techniques of integration
- Techniques of integration
- Review and exercises
- Applications of integration
- Applications of integration
- Applications of integration
- Series
- Series
- Final exam
教科書
Information about the course textbook will be available on Moodle.
Essential Calculus (International Metric Edition, 2nd Edition)
著者: James Stewart
出版社: Brooks Cole (2012)
参考書
書籍情報はありません。