週次 |
日期 |
單元主題 |
第6週 |
10/18-10/22 |
[4.1] Maximum and Minimum Values
[4.2] The Mean Value Theorem |
第9週 |
11/08-11/12 |
[5.4] Indefinite Integrals and the Net Change Theorem
[5.5] The Substitution Rule |
第14週 |
12/13-12/17 |
[8.1] Arc Length
[8.2] Area of a Surface of Revolution
[8.5] Probability (※) |
第17週 |
01/03-01/07 |
[10.3] Polar Coordinates
[10.4] Areas and Lengths in Polar Coordinates |
第1-2週 |
09/13-09/17 |
[2.1] The Tangent and Velocity Problems.
[2.2] The Limit of a Function.(LN 1.10) |
第2-1週 |
09/20-09/24 |
09/22(三) 中秋節放假一天 |
第2-2週 |
09/20-09/24 |
[2.3] Calculating Limits Using the Limit Laws.
[2.4] The Precise Definition of a Limit.[LN.2.4] |
第3-1週 |
09/27-10/01 |
[2.5] Continuity.
[2.6] Limits at Infinity; Horizontal Asymptotes.
[2.7] Derivatives and Rates of Change.[LN.2.6] |
第3-2週 |
09/27-10/01 |
[2.8] The Derivative as a Function.
[3.1] Derivatives of Polynomials and Exponential Functions.[LN.2.9] |
第4-1週 |
10/04-10/08 |
[3.2] The Product and Quotient Rules.
[3.3] Derivatives of Trigonometric Functions.[LN.3.3] |
第4-2週 |
10/04-10/08 |
[3.4] The Chain Rule.
[3.5] Implicit Differentiation.[LN. 3.6] |
第5-1週 |
10/11-10/15 |
[3.6] Derivatives of Logarithm Functions.
[3.7] Rates of Change in the Natural and Social Science (※)
[3.8] Exponential Growth and Decay. |
第5-2週 |
10/11-10/15 |
[3.9] Related Rates
[3.10] Linear Approximation and Differentials
[3.11] Hyperbolic Functions (※) |
第7-1週 |
10/25-10/29 |
[4.3] How Derivatives Affect the Shape of a Graph.
[4.4] Indeterminate Forms and L’Hospital’s Rule. |
第7-2週 |
10/25-10/29 |
[4.5] Summary of Curve Sketching
[4.6] Graphing with Calculus and Calculators
[4.7] Optimization Problems |
第8-1週 |
11/01-11/05 |
[4.8] Newton’s Method (※)
[4.9] Antiderivatives
[5.1] Areas and Distances |
第8-2週 |
11/01-11/05 |
[5.2] The Definite Integral
[5.3] The Fundamental Theorem of Calculus |
第10-1週 |
11/15-11/19 |
[6.1] Areas between Curves
[6.2] Volumes |
第10-2週 |
11/15-11/19 |
[6.3] Volumes by Cylindrical Shells
[6.4] Work (※) |
第11-1週 |
11/22-11/26 |
[6.5] Average Value of a Function
[7.1] Integration by Parts |
第11-2週 |
11/22-11/26 |
[7.2] Trigonometric Integrals |
第12-1週 |
11/29-12/03 |
[7.3] Trigonometric Substitution
|
第12-2週 |
11/29-12/03 |
[7.4] Integration of Rational Functions by Partial Fractions |
第13-1週 |
12/06-12/10 |
[7.5] Strategy for Integration
[7.6] Integration Using Tables and Computer Algebra Systems
[7.7] Approximate Integration |
第13-2週 |
12/06-12/10 |
[7.8] Improper Integrals |
第15-1週 |
12/20-12/24 |
[9.1] Modeling with Differential Equations
[9.2] Direction Fields and Euler’s Method |
第15-2週 |
12/20-12/24 |
[9.3] Separable Equations
[9.4] Models for Population Growth |
第16-1週 |
12/27-12/31 |
[9.5] Linear Equations
[9.6] Predator-Prey Systems (※) |
第16-2週 |
12/27-12/31 |
[10.1] Curves Defined by Parametric Equations
[10.2] Calculus with Parametric Curves |