通過條件
成 績 :60 分
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微積分一、二
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=== 練習題(T) ===
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exercise T.01
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exercise T.02
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exercise T.03
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exercise T.04
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exercise T.05
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exercise T.06
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exercise T.07
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exercise T.08
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exercise T.09
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exercise T.10
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exercise Total
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=== 習題解答(T) ===
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solution T.01
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solution T.02
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solution T.03
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solution T.04
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solution T.05
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solution T.06
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solution T.07
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solution T.08
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solution T.09
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solution T.10
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solution Total-1
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solution Total-2
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=== 練習題(P) ===
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exercise p.01
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exercise p.02
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exercise p.03
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exercise p.04
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exercise p.05
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exercise p.06
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exercise p.07
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exercise p.08
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=== 測驗題目 ===
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evaluation 1
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evaluation 2
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evaluation 3
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=== 測驗詳解 ===
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solution 1
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solution 2
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solution 3
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=== 投影片 ===
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參考來源:請點入參閱\\\
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Ch1. Prerequisites for Calculus
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1.1 Lines
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1.2 Functions and Graph
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1.3 Exponential Functions
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1.4 Parametric Equations
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1.5 Functions and Logarithms
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1.6 Trigonometric
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Ch2. Limits and Continuity
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2.1 Rates of Change and Limits
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2.2 Limits Involving Infinity
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2.3 Continuity
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2.4 Rates of Change and Tangent Lines
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Ch3. Derivatives
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3.1 Derivative of a Function
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3.2 Differentiability
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3.3 Rules for Differentiation
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3.4 Velocity and Other Rates of Change
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3.5 Derivatives of Trigonometric Functions
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3.6 Chain Rule
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3.7 Implicit Differentiation
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3.8 Derivatives of Inverse Trigonometric Functions
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3.9 Derivatives of Exponential and Logarithmic Functions
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Ch4. Applications of Derivatives
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4.1 Extreme Values of Functions
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4.2 Mean Value Theorem
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4.3 Connecting f\\\' and f\\\'\\\' with the Graph of f
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4.4 Modelling and Optimization
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4.5 Linearization and Newton\\\'s Method
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4.6 Related Rates
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Ch5. The Definite Integral
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5.1 Definite Integrals
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5.2 Definite Integrals and Antiderivatives
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5.3 Fundamental Theorem of Calculus
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Ch6. Techniques of Integration
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6.1 Basic Integration Formulas
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6.2 Integration by Parts
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6.3 Integration of Rational Functions by Partial Fractions
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6.4 Trigonometric Integrals
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6.5 Trigonometric Substitutions
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6.6 Inegral Tables and Computer Algebra Systems
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