章節 週次 課程進度 1. Functions and
Models
第一週 9/17、9/19
[1.5] Exponential Functions
[1.6] Inverse Functions and Logarithms
2. Limits and Derivatives
[2.1] The Tangent and Velocity Problems [2.2] The Limit of a Function
[2.3] Calculating Limits Using the Limit Laws
第二週 9/24、9/26
[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
第三週 10/1、10/3
[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
3. Differentiation Rules
第四週 10/8、10/10
[3.4] The Chain Rule [3.5] Implicit Differentiation 10/10(五)國慶紀念日放假一天
第五週 10/15、10/17
[3.6] Derivatives of Logarithmic Functions
[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. Applications of Differentiation
第六週 10/22、10/24
緩衝時間
[4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem
第七週 10/29、10/31
[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
[4.6] Graphing with Calculus and Calculators（※）
[4.7] Optimization Problems
第八週 11/5、11/7
[4.8] Newton’s Method（※）
[4.9] Antiderivatives [5.1] Areas and Distances
5. Integrals
緩衝時間
期中考 11/8(六) 09:00～11:30 考試範圍 1.5～4.9 (英文命題)
第九週 11/12、11/14
[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
6. Applications of Integration
第十週 11/19、11/21
[6.1] Areas Between Curves [6.2] Volumes
[6.3] Volumes by Cylindrical Shells [6.4] Work（※）
[6.5] Average Value of a Function
7. Techniques of Integration
第十一週 11/26、11/28
[7.1] Integration by Parts [7.2] Trigonometric Integrals [7.3] Trigonometric Substitution
[7.4] Integration of Rational Functions by Partial Fractions
第十二週 12/3、12/5
[7.5] Strategy for Integration
[7.6] Integration Using Tables and Computer Algebra Systems（※）
[7.7] Approximate Integration（※）
[7.8] Improper Integrals [8.1] Arc Length
8. Further Applications of
Integration
第十三週 12/10、12/12
緩衝時間
[8.2] Area of a Surface of Revolution
[8.3] Applications to Physics and Engineering [8.4] Applications to Economics and Biology（※）
[8.5] Probability（※）
9. Differential Equations
第十四週 12/17、12/19
[9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method [9.3] Separable Equations
[9.4] Models for Population Growth
第十五週 12/24、12/26
[9.5] Linear Equations
[9.6] Predator-Prey Systems （※）
緩衝時間
10. Parametric Equations and Polar Coordinates
第十六週 12/31、1/2
[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 [10.6] Conic Sections in Polar Coordinates 第十七週
1/7、1/9
緩衝時間 緩衝時間
期末考 1/10(六) 09:00～11:30 考試範圍 5.1～10.6 (英文命題)
