|
週次 |
日期 |
單元主題 |
|
第1週 |
09/14 |
[1.5] Exponential Functions [1.6] Inverse Functions and Logarithms [2.1] The Tangent and Velocity Problems [2.2] The Limit of a Function |
|
第2週 |
09/21 |
[2.3] Calculating Limits Using the Limit Laws [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 |
09/28 |
[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 |
|
第4週 |
10/05 |
[3.4] The Chain Rule [3.5] Implicit Differentiation [3.6] Derivatives of Logarithmic Functions [3.7] Rates of Change in the Natural and Social Sciences（※）[3.8] Exponential Growth and Decay |
|
第5週 |
10/12 |
[3.9] Related Rates [3.10] Linear Approximations and Differentials [3.11] Hyperbolic Functions（※）[4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem |
|
第6週 |
10/19 |
[4.3] How Derivatives Affect the Shape of a Graph [4.4] Indeterminate Forms and L’Hospital’s Rule |
|
第7週 |
10/26 |
[4.5] Summary of Curve Sketching [4.6] Graphing with Calculus and Calculators [4.7] Optimization Problems [4.8] Newton’s Method（※）[4.9] Antiderivatives [5.1] Areas and Distances |
|
第8週 |
11/02 |
[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 |
|
第9週 |
11/09 |
[6.1] Areas between Curves [6.2] Volumes |
|
第10週 |
11/16 |
[6.3] Volumes by Cylindrical Shells [6.4] Work（※）[6.5] Average Value of a Function [7.1] Integration by Parts |
|
第11週 |
11/23 |
[7.2] Trigonometric Integrals [7.3] Trigonometric Substitution |
|
第12週 |
11/30 |
[7.4] Integration of Rational Functions by Partial Fractions [7.5] Strategy for Integration [7.6] Integration Using Tables and Computer Algebra Systems [7.7] Approximate Integration |
|
第13週 |
12/07 |
[7.8] Improper Integrals |
|
第14週 |
12/14 |
[8.1] Arc Length [8.2] Area of a Surface of Revolution [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method |
|
第15週 |
12/21 |
[9.3] Separable Equations [9.4] Models for Population Growth [9.5] Linear Equations [9.6] Predator-Prey Systems （※） |
|
第16週 |
12/28 |
[10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves |
|
第17週 |
01/04 |
[10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates |