|
週次 |
日期 |
單元主題 |
|
第1週 |
02/22 |
[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 |
03/01 |
[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 |
03/08 |
[2.7] Derivatives and Rates of Change
[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 |
03/15 |
[3.4] The Chain Rule
[3.5] Implicit Differentiation
[3.6] Derivatives of Logarithmic Functions
緩衝時間 |
|
第5週 |
03/22 |
[3.7] Rates of Change in the Natural and Social Sciences（※）
[3.8] Exponential Growth and Decay
[3.9] Related Rates
[3.10] Linear Approximations and Differentials
[3.11] Hyperbolic Functions（※）
[4.1] Maximum and Minimum Values |
|
第6週 |
03/29 |
[4.2] The Mean Value Theorem
[4.3] How Derivatives Affect the Shape of a Graph
[4.4] Indeterminate Forms and L’Hospital’s Rule |
|
第7週 |
04/05 |
週一至週三：溫書假
[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 |
|
第8週 |
04/12 |
[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 |
|
第9週 |
04/19 |
[5.5] The Substitution Rule
[6.1] Areas between Curves
[6.2] Volumes
[6.3] Volumes by Cylindrical Shells
期中考周
期中考04/?（六）9：00∼11：30 考試範圍?∼? |
|
第10週 |
04/26 |
緩衝時間
[6.4] Work（※）
[6.5] Average Value of a Function |
|
第11週 |
05/03 |
[7.1] Integration by Parts
[7.2] Trigonometric Integrals
[7.3] Trigonometric Substitution |
|
第12週 |
05/10 |
[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 |
05/17 |
[7.8] Improper Integrals, [8.1] Arc Length; [8.2] Area of a Surface of Revolution, [10.1] Curves Defined by Parametric Equations |
|
第14週 |
05/24 |
[10.2] Calculus with Parametric Curves
[10.3] Polar Coordinates
[10.4] Areas and Lengths in Polar Coordinates |
|
第15週 |
05/31 |
[9.1] Modeling with Differential Equations
[9.2] Direction Fields and Euler’s Method
[9.3] Separable Equations
[9.4] Models for Population Growth
|
|
第16週 |
06/07 |
[9.5] Linear Equations [9.6] Predator-Prey Systems （※）
1/1(五) 元旦放假 |
|
第17週 |
06/14 |
Review
期末考6/?（日）9：00∼11：30 考試範圍?∼? |