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HOME 学部前期課程 全学自由研究ゼミナール(PEAK)(Single-variable calculus)
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全学自由研究ゼミナール(PEAK)(Single-variable calculus)

Single-variable calculus
In this course, we study the differentiation and integration of a function of one-variable (which is also called one-variable function or single-variable function). Intuitively, differential is the slope of the tangent line of a function at a given point, and integral is the area bounded by the graph of the function and x-axis over a given interval. Both concepts need the concept “limit”, so the first part of this course will contain the definition of a function, limit of a sequence, continuous function and related topics. In the second part of this course, we study the differential of a function, the definition, calculation techniques, properties and applications. In the third part, we define the definite and indefinite integral of a function, study the fundamental theorem of calculus: the connection between differentiation and integration, and introduce the calculation techniques. Power series will also be introduced. In the end, we study how to solve some simple differential equations.
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時間割/共通科目コード
コース名
教員
学期
時限
50821
CAS-PT1200S3
全学自由研究ゼミナール(PEAK)(Single-variable calculus)
鮑 園園
A1 A2
木曜3限
マイリストに追加
マイリストから削除
教室
講義使用言語
英語
単位
2
実務経験のある教員による授業科目
NO
他学部履修
不可
開講所属
教養学部(前期課程)
授業計画
1. Sequence, limit, continuous function 2. The derivative of a function and higher-order derivatives 3. Taylor's theorem and extreme values 4. Taylor series 5. Integral of a function 6. the fundamental theorem 7. Integration methods 8. Differential equations
授業の方法
Online lectures using Zoom. Homework will be given each week. Materials will be uploaded to ITC-LMS. Visit ITC-LMS for latest information.
成績評価方法
To be determined.
履修上の注意
Make sure you are able to spend some time on exercises/homework if you take this course. Latest information can be found on ITC-LMS.