|
週次 |
日期 |
單元主題 |
|
第1週 |
9/12,9/16 |
1.4Exponential Functions
1.5Inverse Functions and Logarithms
9/16(五)中秋節調整放假 |
|
第2週 |
9/19,9/23 |
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.4 The Precise Definition of a Limit
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|
第3週 |
9/26,9/30 |
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
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|
第4週 |
10/03,10/07 |
3.1 Derivatives of Polynomials and Exponential Functions
3.2 The Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
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|
第5週 |
10/10,10/14 |
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3.8 Exponential Growth and Decay
3.9 Related Rates
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第6週 |
10/17,10/21 |
3.10 Linear Approximations and Differentials
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
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第7週 |
10/24,10/28 |
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
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|
第8週 |
10/31,11/04 |
4.7 Optimization Problems
4.9 Antiderivatives
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|
第9週 |
11/07,11/11 |
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10週 |
11/14,11/18 |
5.5 The Substitution Rule
6.1 Areas Between Curves
6.2 Volume
6.3 Volumes by Cylindrical Shells
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|
第11週 |
11/21,11/25 |
6.5 Average Value of a Function
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
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第12週 |
11/28,12/02 |
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
7.8 Improper Integrals
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第13週 |
12/05,12/09 |
8.1 Arc Length
8.2 Area of a Surface of Revolution
8.3 Applications to Physics and Engineering
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第14週 |
12/12,12/16 |
9.1 Modeling with Differential Equations
9.2 Direction Fields and Euler''s Method
9.3 Separable Equations
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第15週 |
12/19,12/23 |
9.4 Models for Population Growth
9.5 Linear Equations
9.6 Predator-Prey Systems
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第16週 |
12/26,12/30 |
10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves
10.3 Polar Coordinates
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|
第17週 |
1/02,1/06 |
10.4
Areas and Lengths in Polar Coordinates
10.6
Conic Sections in Polar Coordinates
緩衝時間
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