MATHEMATICS B (CALCULUS)
理工学部 - 理工学部共通科目(英語コース)
SCT1160E
コース情報
担当教員: TRIHAN Fabien
単位数: 2
年度: 2024
学期: 秋学期
曜限: 月4
形式: 対面授業
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
定期試験
定期試験期間中
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
詳細情報
概要
This course is following the Policy 2 of Sophia University. Differential and integral calculus are methods that are indispensable research techniques in natural science, and recently, have found increasing application also in social science. We will study limits, derivation and integration of single variable real valued functions.
目標
The aim of the course is to furnish students with a solid understanding of single variable calculus.
授業外の学習
-read your notes every week and make your own summary (60 minutes) -check the solution of the quiz and prepare for the quiz of the next week (60 minutes) -check if you can do the exercises that have been done in the previous class (70 min)
所要時間: 190 min
スケジュール
- Functions and their representation
- A catalog of essential functions
- The limit of a function
- Calculating limits
- Continuity
- Exponential, logarithmic
- Derivatives and rate of change
- Derivatives a s a function
- Basic differentiation formulas
- Mean value theorems and Taylor theorem
- L'Hospital 's rule
- Definite/indefinite integrals
- The fundamental theorem of calculus
- Improper integrals
- Task outside the class: in addition to the regular class sessions, attend tutorials
教科書
http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
Single Variable Calculus, Early transcendentals
著者: James Stewart
出版社: Brooks-Cole, Cengage Learning, 2012
参考書
書籍情報はありません。