|
週次 |
日期 |
單元主題 |
|
Week 1 |
9/17,9/19 |
[1.5] Exponential Functions
[1.6] Inverse Functions and Logarithms
[2.1] The Tangent and Velocity Problems
[2.2] The Limit of a Function |
|
Week 2 |
9/24,9/26 |
[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 |
|
Week 3 |
10/01,10/03 |
[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 |
|
Week 4 |
10/08,10/10 |
QUIZ 1 during TA session.
[3.4] The Chain Rule
[3.5] Implicit Differentiation
[3.6] Derivatives of Logarithmic Functions
10/10(五) 國慶紀念日(放假一天) |
|
Week 5 |
10/15,10/17 |
[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 |
|
Week 6 |
10/22,10/24 |
[4.1] Maximum and Minimum Values
[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 |
|
Week 7 |
10/29,10/31 |
QUIZ 2 during TA session.
[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 |
|
Week 8 |
11/05,11/07 |
[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
[5.5] The Substitution Rule |
|
Week 9 |
11/12,11/14 |
緩衝時間
11/14(五)56節期中考，範圍：1∼5章 11/15(六)校慶 |
|
Week 10 |
11/19,11/21 |
[6.1] Areas between Curves
[6.2] Volumes
[6.3] Volumes by Cylindrical Shells
[6.4] Work |
|
Week 11 |
11/26,11/28 |
QUIZ 3 during TA session.
[6.5] Average Value of a Function
[7.1] Integration by Parts
[7.2] Trigonometric Integrals
[7.3] Trigonometric Substitution |
|
Week 12 |
12/03,12/05 |
[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 |
|
Week 13 |
12/10,12/12 |
QUIZ 4 during TA session.
[7.8] Improper Integrals
[8.1] Arc Length
[8.2] Area of a Surface of Revolution
[8.3] Applications to Physics and Engineering |
|
Week 14 |
12/17,12/19 |
[8.4] Applications to Economics and Biology
[8.5] Probability
[9.1] Modeling with Differential Equations
[9.2] Direction Fields and Euler’s Method |
|
Week 15 |
12/24,12/26 |
[9.3] Separable Equations
[9.4] Models for Population Growth
[9.5] Linear Equations
[9.6] Predator-Prey Systems |
|
Week 16 |
12/31,1/02 |
QUIZ 5 during TA session.
[10.1] Curves Defined by Parametric Equations
[10.2] Calculus with Parametric Curves
[10.3] Polar Coordinates
[10.4] Areas and Lengths in Polar Coordinates
1/1 (四)元旦放假 |
|
Week 17 |
1/07,1/09 |
緩衝時間 |