R-107-2-0291004-Calculus (Ⅱ)
Course Period:Now ~ Any Time
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Course Introduction
Course Plan
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Course description, requirements and last semester course review
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Derivative, Derivative Function and Differentiation
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Derivative Function and Derivative Rule of Common Elementary Function
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Differential Technique 1 - Logarithmic Derivative Method, Composition Function (Chain Law)
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Differential Technique 2 - Inverse Function and Implicit Function
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Differential Technique 3 - Higher Derivative and Differential Mean-Valued Theorem
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Properties of Differentials and Applications 1 - Seeking for Indefinite Limits (Law of Robusta)
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Properties of Differentials and Applications 2 - The Existence and Uniqueness of Differential Equations and the Inequality
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Midterm
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Properties of Differentials and Applications 3 - Extrema and Drawing for Functions
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Anti - derivative and Indefinite Integral - Indefinite Integral of Common Elementary Function
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Integration techniques 1 - variable transformation (integration by substation) method - irrational function integration
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Integration techniques 2-triangle substitution method and more than two types of elementary functions of the integration (integration by parts)
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Integration techniques 3 - rational function integration (integration by fractional)
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Fundamental Theorem of Calculus and Its Calculating Integral Rule and Integral Mean-Valued Theorem
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The Property of Integrals and Applications 1 - Calculate the Limit of Accumulation and Multiplication and Find the Area of Plane Function
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The Property of Integrals and Applications 2 - Volume of the solid-revolution of the region enclosed by the plane functions - disk and cylindrical shell methods
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Final
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Course description, requirements and last semester course review
-
Derivative, Derivative Function and Differentiation
-
Derivative Function and Derivative Rule of Common Elementary Function
-
Differential Technique 1 - Logarithmic Derivative Method, Composition Function (Chain Law)
-
Differential Technique 2 - Inverse Function and Implicit Function
-
Differential Technique 3 - Higher Derivative and Differential Mean-Valued Theorem
-
Properties of Differentials and Applications 1 - Seeking for Indefinite Limits (Law of Robusta)
-
Properties of Differentials and Applications 2 - The Existence and Uniqueness of Differential Equations and the Inequality
-
Midterm
-
Properties of Differentials and Applications 3 - Extrema and Drawing for Functions
-
Anti - derivative and Indefinite Integral - Indefinite Integral of Common Elementary Function
-
Integration techniques 1 - variable transformation (integration by substation) method - irrational function integration
-
Integration techniques 2-triangle substitution method and more than two types of elementary functions of the integration (integration by parts)
-
Integration techniques 3 - rational function integration (integration by fractional)
-
Fundamental Theorem of Calculus and Its Calculating Integral Rule and Integral Mean-Valued Theorem
-
The Property of Integrals and Applications 1 - Calculate the Limit of Accumulation and Multiplication and Find the Area of Plane Function
-
The Property of Integrals and Applications 2 - Volume of the solid-revolution of the region enclosed by the plane functions - disk and cylindrical shell methods
-
Final
Teacher / 鮑永誠