1051 微甲06-10班
1.4 Exponential Functions
1.5 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 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 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 3.4 The Chain Rule
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions 3.8 Exponential Growth and Decay 3.9 Related Rates
3.10 Linear Approximations and Differentials 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 4.5 Summary of Curve Sketching
4.7 Optimization Problems 4.9 Antiderivatives
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
6.1 Areas Between Curves 6.2 Volume
6.3 Volumes by Cylindrical Shells 6.5 Average Value of a Function 7.1 Integration by Parts
7.2 Trigonometric Integrals 7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration
7.8 Improper Integrals 8.1 Arc Length
8.2 Area of a Surface of Revolution
8.3 Applications to Physics and Engineering 9.1 Modeling with Differential Equations 9.2 Direction Fields and Euler''s Method 9.3 Separable Equations
9.4 Models for Population Growth 9.5 Linear Equations
9.6 Predator-Prey Systems
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 期末考1/7(六) 13:30~16:00 考試範圍 5.1~10.6(英文命題) 第十四週
12/14, 12/16 第十五週 12/21, 12/23
10. Parametric equations and polar coordinates
第十六週 12/28, 12/30
第十七週 1/4, 1/6 9. Differential
equations
第十二週 11/30, 12/2
第十三週 12/7, 12/9 7. Techniques of
integration
8. Further applications of
integration
緩衝時間 緩衝時間
期中考 11/5(六) 09:00~11:30 考試範圍 1.4~4.9(英文命題)
5. Integrals
第九週 11/9, 11/11
第十週 11/16, 11/18 6. Applications of
integration
第十一週 11/23, 11/25 3. Differentiation
rules
第四週 10/5, 10/7
第五週 10/12, 10/14
第六週 10/19, 10/21
4. Applications of differentiation
第七週 10/26, 10/28
第八週 11/2, 11/4
Stewart, Calculus: Early Transcendentals 第八版
1. Functions and models
第一週
9/14, 9/16 9/16(五)中秋節調整放假
2. Limits and derivatives
第二週 9/21, 9/23
第三週 9/28, 9/30
