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週次 |
日期 |
單元主題 |
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第1週 |
9/16,9/18 |
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[1.5] Exponential Functions<br>
[1.6] Inverse Functions and Logarithms<br>
[2.1] The Tangent and Velocity Problems<br>
[2.2] The Limit of a Function<br>
[2.3] Calculating Limits Using the Limit Laws<br>
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第2週 |
9/23,9/25 |
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[2.4] The Precise Definition of a Limit<br>
[2.5] Continuity<br>
[2.6] Limits at Infinity; Horizontal Asymptotes<br>
[2.7] Derivatives and Rates of Change<br>
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第3週 |
9/30,10/02 |
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[2.8] The Derivative as a Function<br>
[3.1] Derivatives of Polynomials and Exponential Functions<br>
[3.2] The Product and Quotient Rules<br>
[3.3] Derivatives of Trigonometric Functions<br>
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第4週 |
10/07,10/09 |
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[3.4] The Chain Rule<br>
[3.5] Implicit Differentiation<br>
10/7(三) Quiz 1 <br>
10/9(五) 國慶紀念日遇例假日補假
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第5週 |
10/14,10/16 |
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[3.5] Implicit Differentiation<br>
[3.6] Derivatives of Logarithmic Functions<br>
[3.7] Rates of Change in the Natural and Social Sciences（※）<br>
[3.8] Exponential Growth and Decay<br>
[3.9] Related Rates<br>
[3.10] Linear Approximations and Differentials<br>
[3.11] Hyperbolic Functions（※）<br>
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第6週 |
10/21,10/23 |
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<body>
緩衝時間<br>
[4.1] Maximum and Minimum Values<br>
[4.2] The Mean Value Theorem<br>
10/21(三) Quiz 2 <br>
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第7週 |
10/28,10/30 |
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[4.3] How Derivatives Affect the Shape of a Graph<br>
[4.4] Indeterminate Forms and L’Hospital’s Rule<br>
[4.5] Summary of Curve Sketching<br>
[4.6] Graphing with Calculus and Calculators（※）<br>
[4.7] Optimization Problems<br>
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第8週 |
11/04,11/06 |
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[4.8] Newton’s Method（※）<br>
[4.9] Antiderivatives<br>
[5.1] Areas and Distances<br>
緩衝時間<br>
11/4(三) Quiz 3 <br>
期中考 11/7(六) 09:00∼11:30 考試範圍 1.5∼4.9 (英文命題)<br>
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第9週 |
11/11,11/13 |
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[5.2] The Definite Integral<br>
[5.3] The Fundamental Theorem of Calculus<br>
[5.4] Indefinite Integrals and the Net Change Theorem<br>
[5.5] The Substitution Rule<br>
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第10週 |
11/18,11/20 |
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[6.1] Areas Between Curves<br>
[6.2] Volumes<br>
[6.3] Volumes by Cylindrical Shells<br>
[6.4] Work（※）<br>
[6.5] Average Value of a Function<br>
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第11週 |
11/25,11/27 |
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[7.1] Integration by Parts<br>
[7.2] Trigonometric Integrals<br>
[7.3] Trigonometric Substitution<br>
[7.4] Integration of Rational Functions by Partial Fractions<br>
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第12週 |
12/02,12/04 |
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[7.5] Strategy for Integration<br>
[7.6] Integration Using Tables and Computer Algebra Systems（※）<br>
[7.7] Approximate Integration（※）<br>
[7.8] Improper Integrals<br>
[8.1] Arc Length<br>
12/2(三) Quiz 4 <br>
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第13週 |
12/09,12/11 |
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緩衝時間<br>
[8.2] Area of a Surface of Revolution<br>
[8.3] Applications to Physics and Engineering<br>
[8.4] Applications to Economics and Biology（※）<br>
[8.5] Probability（※）<br>
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第14週 |
12/16,12/18 |
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[9.1] Modeling with Differential Equations<br>
[9.2] Direction Fields and Euler's Method <br>
[9.3] Separable Equations<br>
[9.4] Models for Population Growth<br>
12/16(三) Quiz 5 <br>
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第15週 |
12/23,12/25 |
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[9.5] Linear Equations<br>
[9.6] Predator-Prey Systems（※）<br>
緩衝時間<br>
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第16週 |
12/30,1/01 |
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[10.1] Curves Defined by Parametric Equations<br>
[10.2] Calculus with Parametric Curves<br>
1/1(五) 開國紀念日放假一天<br>
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第17週 |
1/06,1/08 |
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[10.3] Polar Coordinates<br>
[10.4] Areas and Lengths in Polar Coordinates<br>
[10.6] Conic Sections in Polar Coordinates<br>
緩衝時間<br>
1/6(三) Quiz 6 <br>
期末考 1/9(六) 09:00∼11:30 考試範圍 5.1∼10.6 (英文命題)<br>
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