|
週次 |
日期 |
單元主題 |
|
第1週 |
9/14,9/18 |
[1.5] Exponential Functions
[1.6] Inverse Functions and Logarithms
[2.1] The Tangent and Velocity Problems
[2.2] The Limit of a Function
[2.3] Calculating Limits Using the Limit Laws |
|
第2週 |
9/21,9/25 |
[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 |
9/28,10/02 |
[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 |
10/05,10/09 |
[3.4] The Chain Rule
[3.5] Implicit Differentiation |
|
第5週 |
10/12,10/16 |
[3.6] Derivatives of Logarithmic Functions
[3.8] Exponential Growth and Decay
[3.9] Related Rates
[3.10] Linear Approximations and Differentials |
|
第6週 |
10/19,10/23 |
[4.1] Maximum and Minimum Values
[4.2] The Mean Value Theorem |
|
第7週 |
10/26,10/30 |
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
[4.7] Optimization Problems |
|
第8週 |
11/02,11/06 |
[4.9] Antiderivatives
[5.1] Areas and Distances |
|
第9週 |
11/09,11/13 |
[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10週 |
11/16,11/20 |
[6.1] Areas Between Curves
[6.2] Volumes
[6.3] Volumes by Cylindrical Shells
[6.5] Average Value of a Function |
|
第11週 |
11/23,11/27 |
[7.1] Integration by Parts
[7.2] Trigonometric Integrals
[7.3] Trigonometric Substitution
[7.4] Integration of Rational Functions by Partial Fractions |
|
第12週 |
11/30,12/04 |
[7.5] Strategy for Integration
[7.8] Improper Integrals
[8.1] Arc Length |
|
第13週 |
12/07,12/11 |
[8.2] Area of a Surface of Revolution
[9.1] Modeling with Differential Equations
[9.2] Direction Fields and Euler’s Method |
|
第14週 |
12/14,12/18 |
[9.3] Separable Equations
[9.4] Models for Population Growth
[9.5] Linear Equations |
|
第15週 |
12/21,12/25 |
[10.1] Curves Defined by Parametric Equations
[10.2] Calculus with Parametric Curves |
|
第16週 |
12/28,1/01 |
[10.3] Polar Coordinates
[10.4] Areas and Lengths in Polar Coordinates
[10.6] Conic Sections in Polar Coordinates |
|
第17週 |
1/04,1/08 |
1/8期末考 5.1~10.6 |