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週次 |
日期 |
單元主題 |
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第1週 |
9/16,9/18 |
[1.5] Exponential Functions
[1.6] Inverse Functions and Logarithms
[2.1] The Tangent and Velocity Problems
[2.2] The Limit of a Function
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第2週 |
9/23,9/25 |
[2.3] Calculating Limits Using the Limit Laws
[2.4] The Precise Definition of a Limit
[2.5] Continuity
[2.6] Limits at Infinity; Horizontal Asymptotes
[2.7] Derivatives and Rates of Change
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第3週 |
9/30,10/02 |
[2.8] The Derivative as a Function
[3.1] Derivatives of Polynomials and Exponential Functions
3. Differentiation Rules
[3.2] The Product and Quotient Rules
[3.3] Derivatives of Trigonometric Functions
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第4週 |
10/07,10/09 |
[3.4] The Chain Rule
[3.5] Implicit Differentiation
[3.6] Derivatives of Logarithmic Functions
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第5週 |
10/14,10/16 |
[3.7] Rates of Change in the Natural and Social Sciences（※）
[3.8] Exponential Growth and Decay
[3.9] Related Rates
[3.10] Linear Approximations and Differentials
[3.11] Hyperbolic Functions（※）
[4.1] Maximum and Minimum Values
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第6週 |
10/21,10/23 |
[4.2] The Mean Value Theorem
[4.3] How Derivatives Affect the Shape of a Graph
[4.4] Indeterminate Forms and L’Hospital’s Rule
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第7週 |
10/28,10/30 |
[4.5] Summary of Curve Sketching
[4.6] Graphing with Calculus and Calculators
[4.7] Optimization Problems
[4.8] Newton’s Method（※）
[4.9] Antiderivatives
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第8週 |
11/04,11/06 |
[5.1] Areas and Distances
[5.2] The Definite Integral
[5.3] The Fundamental Theorem of Calculus
[5.4] Indefinite Integrals and the Net Change Theorem
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第9週 |
11/11,11/13 |
[5.5] The Substitution Rule
[6.1] Areas between Curves
6. Applications of Integration
[6.2] Volumes
[6.3] Volumes by Cylindrical Shells
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第10週 |
11/18,11/20 |
[6.4] Work（※）
[6.5] Average Value of a Function
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第11週 |
11/25,11/27 |
[7.1] Integration by Parts
[7.2] Trigonometric Integrals
[7.3] Trigonometric Substitution
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第12週 |
12/02,12/04 |
[7.4] Integration of Rational Functions by Partial Fractions
[7.5] Strategy for Integration
[7.6] Integration Using Tables and Computer Algebra Systems
[7.7] Approximate Integration
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第13週 |
12/09,12/11 |
[7.8] Improper Integrals
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第14週 |
12/16,12/18 |
[8.1] Arc Length
[8.2] Area of a Surface of Revolution
9. Differential Equations
[9.1] Modeling with Differential Equations
[9.2] Direction Fields and Euler’s Method
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第15週 |
12/23,12/25 |
[9.3] Separable Equations
[9.4] Models for Population Growth
[9.5] Linear Equations
[9.6] Predator-Prey Systems （※）
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第16週 |
12/30,1/01 |
[10.1] Curves Defined by Parametric Equations
[10.2] Calculus with Parametric Curves
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第17週 |
1/06,1/08 |
[10.3] Polar Coordinates
[10.4] Areas and Lengths in Polar Coordinates
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