Subject | Natural Science

  • Learning

Calculus (2)

In this course, we will continue our journey in Calculus and turn our attention to the theory of integration (à la Riemann). We shall begin with the definition and techniques of integration, derive the Fundamental Theorem of Calculus that provides an important link between integration and differentiation, compute areas and volumes of some 2D/3D objects, discuss applications to analytic (plane) geometry and solve certain first order differential equations. Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study.

Content/学習内容

    接続エラー:内容を取得できませんでした。時間をおいてアクセスしてください。

    Staff/スタッフ

      • Teacher
      Kwok-Wing Tsoi
      Department of Mathematics

    Competency/コンピテンシー

    • Literacy
    • Logical thinking ability

    Related Contents/関連コンテンツ

    Contents

    Fukushima Revitalization Lecture Series
    • Learning
    Free
    On Air
    Geographic Perspectives and Thinking in Senior High School
    • Learning
    Free
    On Air
    【YNU International Symposium 2025】Lecture 3: Catalytic Strategies for CO₂ Utilization and C-H Bond Activation Toward Carbon Neutrality
    • Learning
    Free
    On Air
    飲食話文化: 第六課 團圓火鍋 Lesson 6 Hotpot Culture in Taiwan
    • Learning
    Free
    On Air