分野 | 自然科学

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Calculus (3)

Having discussed Calculus on functions of a single (real) variable in MATH4006-7, this course turns to an introduction (and applications) of multivariable (mainly 2- and 3-variable) Calculus, which is the foundation for various disciplines in Science and Engineering. Topics to be discussed include : 
 - Partial derivatives, 
 - Continuous and differentiable functions in multivariables, 
 - Chain rule and directional derivatives, 
 - Second derivative test for two-variable functions and the method of Lagrange multipliers, 
 - Double and triple integrations. 

 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

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    Staff/スタッフ

      • 講師
      Tsoi Kwok-Wing
      Department of Mathematics

    Competency/コンピテンシー

    • リテラシー
    • 論理的思考力

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