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微分・積分 [DS1](GIGA/GG/GI)

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科目名微分・積分 [DS1](GIGA/GG/GI) [ シラバス ]


This course will cover fundamentals of calculus, which is essentially important for various research fields. Beginning with some preliminaries, we will study derivatives and integrals. For either topic, we will start from single function, and then it will be extended to multiple functions. A number of practices are prepared for deeper understanding and practical usage of derivatives and integrals.


担当者 宮本 佳明
授業期間2018年春学期 木曜日2時限
授業レベル 学部
参考文献 参考文献リスト


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第01回2018/04/12 Introduction to the class
- presentation file 【履修者限定】


第02回2018/04/19 Limit of function
- presentation file 【履修者限定】


第03回2018/04/26 Derivatives

第04回2018/05/01 Graphing by using derivatives

第05回2018/05/10 Taylor expansion and Extreme Problem

第06回2018/05/17 Derivatives of functions of several variables (partial and total derivatives)

第07回2018/05/24 Chain rules and Taylor expansion of function of several variables

第08回2018/06/07 Extreme problem of function of several variables

第09回2018/06/14 Application of derivatives

第10回2018/06/21 Indefinite and Definite Integrals

第11回2018/06/28 Multiple Integral

第12回2018/07/05 Repeated Integral

第13回2018/07/12 Change of Variables

第14回2018/07/19 Calculation of Volume and Area


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