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週次 |
日期 |
單元主題 |
|
第1週 |
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[1.5] Exponential Functions [1.6] Inverse Functions and Logarithms
2. Limits and Derivatives
[2.1] The Tangent and Velocity Problems
[2.2] The Limit of a Function
[2.3] Calculating Limits Using the Limit Laws |
|
第2週 |
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[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 |
|
第3週 |
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[2.8] The Derivative as a Function [3.1] Derivatives of Polynomials and Exponential Functions
[3.2] The Product and Quotient Rules
[3.3] Derivatives of Trigonometric Functions |
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第4週 |
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[3.4] The Chain Rule
[3.5] Implicit Differentiation |
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第5週 |
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[3.6] Derivatives of Logarithmic Functions
[3.8] Exponential Growth and Decay
[3.9] Related Rates
[3.10] Linear Approximations and Differentials |
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第6週 |
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[4.1] Maximum and Minimum Values
[4.2] The Mean Value Theorem |
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第7週 |
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[4.3] How Derivatives Affect the Shape of a Graph
[4.4] Indeterminate Forms and L’Hospital’s Rule
[4.5] Summary of Curve Sketching
[4.7] Optimization Problems |
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第8週 |
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[4.9] Antiderivatives
[5.1] Areas and Distances |
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第9週 |
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期中考 |
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第10週 |
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[5.2] The Definite Integral
[5.3] The Fundamental Theorem of Calculus
[5.4] Indefinite Integrals and the Net Change Theorem
[5.5] The Substitution Rule |
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第11週 |
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[6.1] Areas Between Curves
[6.2] Volumes
[6.3] Volumes by Cylindrical Shells
[6.5] Average Value of a Function |
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第12週 |
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[7.1] Integration by Parts
[7.2] Trigonometric Integrals
[7.3] Trigonometric Substitution
[7.4] Integration of Rational Functions by Partial Fractions |
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第13週 |
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[7.5] Strategy for Integration
[7.8] Improper Integrals
[8.1] Arc Length |
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第14週 |
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[8.2] Area of a Surface of Revolution
[9.1] Modeling with Differential Equations
[9.2] Direction Fields and Euler’s Method |
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第15週 |
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[9.3] Separable Equations
[9.4] Models for Population Growth
[9.5] Linear Equations |
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第16週 |
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[10.1] Curves Defined by Parametric Equations
[10.2] Calculus with Parametric Curves |
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第17週 |
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[10.3] Polar Coordinates
[10.4] Areas and Lengths in Polar Coordinates
[10.6] Conic Sections in Polar Coordinates |
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第18週 |
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期末考 |