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週次 |
日期 |
單元主題 |
|
第1週 |
9/17,9/19 |
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<title>
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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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</html> |
|
第2週 |
9/24,9/26 |
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<title>
</title>
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<body>
[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 |
10/01,10/03 |
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<title>
</title>
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<body>
[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 |
10/08,10/10 |
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<body>
[3.4] The Chain Rule <br>
[3.5] Implicit Differentiation <br>
10/10(五)國慶紀念日放假一天 <br>
</body>
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|
第5週 |
10/15,10/17 |
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<title>
</title>
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<body>
[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>
</body>
</html> |
|
第6週 |
10/22,10/24 |
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<title>
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<body>
緩衝時間 <br>
[4.1] Maximum and Minimum Values <br>
[4.2] The Mean Value Theorem <br>
</body>
</html>
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|
第7週 |
10/29,10/31 |
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<body>
[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>
</body>
</html> |
|
第8週 |
11/05,11/07 |
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<title>
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<body>
[4.8] Newton’s Method（※） <br>
[4.9] Antiderivatives <br>
[5.1] Areas and Distances <br>
緩衝時間 <br>
11/8 (六) 09:00~11:30 期中考 (1.5~4.9)<br>
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|
第9週 |
11/12,11/14 |
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<title>
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<body>
[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>
</body>
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|
第10週 |
11/19,11/21 |
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<body>
[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>
</body>
</html> |
|
第11週 |
11/26,11/28 |
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<body>
[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>
</body>
</html> |
|
第12週 |
12/03,12/05 |
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<body>
[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>
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|
第13週 |
12/10,12/12 |
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<body>
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>
</body>
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|
第14週 |
12/17,12/19 |
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<title>
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<body>
[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>
</body>
</html> |
|
第15週 |
12/24,12/26 |
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[9.5] Linear Equations <br>
[9.6] Predator-Prey Systems（※）<br>
緩衝時間 <br>
</body>
</html> |
|
第16週 |
12/31,1/02 |
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<title>
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<body>
[10.1] Curves Defined by Parametric Equations <br>
[10.2] Calculus with Parametric Curves <br>
[10.3] Polar Coordinates <br>
[10.4] Areas and Lengths in Polar Coordinates <br>
[10.6] Conic Sections in Polar Coordinates <br>
</body>
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|
第17週 |
1/07,1/09 |
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緩衝時間 <br>
1/10 (六) 09:00~11:30 期末考(5.1~10.6)<br>
</body>
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|
第20週 |
|
餘零班投影片 |
|
第20-2週 |
|
餘零班講義 |