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11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests

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1061 微甲01-02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 3.11 Hyperbolic Functions

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 Laplace Transform Laplace Transform 8.1 Arc Length

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 9.1 Modeling with Differential Equations 9.3 Separable Equations

9.4 Models for Population Growth (✽) 9.5 Linear Equations

17.1 Second-Order Linear Equations 17.2 Nonhomogeneous Linear Equations 緩衝時間

Stewart, Calculus: Early Transcendentals 第八版

4. Applications of differentiation

5. Integrals

第二週 9/20, 9/22

第三週 9/27, 9/29

第四週 10/4, 10/6

第一週 9/13, 9/15

期中考 11/4(六) 09:00~11:30 考試範圍 1.4~4.9(英文命題) 第五週

10/11, 10/13

第六週 10/18, 10/20

第七週 10/25, 10/27

10/4 中秋節放假

11/15 校慶停課 第八週

11/1, 11/3

第九週 11/8, 11/10

第十週 11/15, 11/17

第十三週 12/6, 12/8 8. Further

applications of

integration 第十四週

12/13, 12/15 第十一週 11/22, 11/24

第十二週 11/29, 12/1

期末考1/6(六) 09:00~11:30 考試範圍 5.1~10.4+17.1~17.2(英文命題) 10. Parametric

equations and polar coordinates

第十六週 12/27, 12/29

第十七週

1/3, 1/5 緩衝時間 第十五週

12/20, 12/22 9. Differential

equations 17. Second-order

differential equations 1. Functions and

models

2. Limits and derivatives

3. Differentiation rules

6. Applications of integration

7. Techniques of integration

(2)

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 3.11 Hyperbolic Functions (✽)

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

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 9.1 Modeling with Differential Equations 9.3 Separable Equations

9.4 Models for Population Growth 9.5 Linear Equations

17.1 Second-Order Linear Equations (✽) 17.2 Nonhomogeneous Linear Equations (✽) 11/15 校慶停課

第十四週 12/13, 12/15

第十五週 12/20, 12/22

緩衝時間

期中考 11/4(六) 09:00~11:30 考試範圍 1.4~4.9(英文命題)

第九週 11/8, 11/10

第十週 11/15, 11/17

第十一週 11/22, 11/24

第十二週 11/29, 12/1

10. Parametric equations and polar coordinates

8. Further applications of

integration

第十三週 12/6, 12/8

第八週 11/1, 11/3

5. Integrals

6. Applications of integration

7. Techniques of integration

緩衝時間

期末考1/6(六) 09:00~11:30 考試範圍 5.1~10.4(英文命題) 第十六週

12/27, 12/29 第十七週

1/3, 1/5 9. Differential

equations

17. Second-order differential

equations

Stewart, Calculus: Early Transcendentals 第八版

第一週 9/13, 9/15

第二週 9/20, 9/22

第三週 9/27, 9/29 1061 微甲03-04班

1. Functions and models

2. Limits and derivatives

3. Differentiation rules

第五週 10/11, 10/13

第六週 10/18, 10/20

4. Applications of differentiation

第七週 10/25, 10/27

10/4 中秋節放假 第四週

10/4, 10/6

(3)

1061 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 3.11 Hyperbolic Functions (✽)

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 9.1 Modeling with Differential Equations 9.3 Separable Equations

9.4 Models for Population Growth 9.5 Linear Equations

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 Stewart, Calculus: Early Transcendentals 第八版

第一週 9/13, 9/15

第二週 9/20, 9/22

第三週 9/27, 9/29

第四週 10/4, 10/6

10/4 中秋節放假

第五週 10/11, 10/13

第六週 10/18, 10/20

4. Applications of differentiation

第七週 10/25, 10/27

第八週

11/1, 11/3 緩衝時間

第十週 11/15, 11/17

11/15 校慶停課 6. Applications of

integration

第十一週 11/22, 11/24 7. Techniques of

integration

第十二週 11/29, 12/1

緩衝時間

期末考1/6(六) 09:00~11:30 考試範圍 5.1~10.4(英文命題) 1. Functions and

models

2. Limits and derivatives

3. Differentiation rules

8. Further applications of

integration

第十三週 12/6, 12/8

9. Differential equations

第十四週 12/13, 12/15

第十五週 12/20, 12/22 10. Parametric

equations and polar coordinates

第十六週 12/27, 12/29

第十七週 1/3, 1/5

期中考 11/4(六) 09:00~11:30 考試範圍 1.4~4.9(英文命題)

5. Integrals

第九週 11/8, 11/10

(4)

1062 微甲01-04班、06-10班

11.1 Sequences 11.2 Series

11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests

11.5 Alternating Series

11.6 Absolute Convergence and the Ratio and Root Tests 11.7 Strategy for Testing Series

11.8 Power Series

11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series

11.11 Applications of Taylor Polynomials 12. Vectors and

the geometry of space

12.6 Cylinders and Quadric Surfaces 13.1 Vector Functions and Space Curves

13.2 Derivatives and Integrals of Vector Functions 3/31 補上課 13.3 Arc Length and Curvature

14.1 Functions of Several Variables 14.2 Limits and Continuity

14.3 Partial Derivatives

14.4 Tangent Planes and Linear Approximation 14.5 The Chain Rule

14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values

14.8 Lagrange Multipliers

15.1 Double Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates 15.4 Applications of Double Integrals 15.5 Surface Area

15.6 Triple Integrals

15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals 16.1 Vector Fields

16.2 Line Integrals

16.3 The Fundamental Theorem for Line Integrals 16.4 Green''s Theorem

16.5 Curl and Divergence

16.6 Parametric Surfaces and Their Areas 16.7 Surface Integrals

16.8 Stokes'' Theorem

16.9 The Divergence Theorem 16.10 Summary

第十七週 6/20, 6/22

期末考 6/23(六) 09:00~11:30 考試範圍 15.1~16.10(英文命題) Stewart, Calculus: Early Transcendentals 第八版

第一週 2/28, 3/2

第二週 3/7, 3/9

第三週 3/14, 3/16

第四週 3/21, 3/23

第六週 4/4, 4/6

第十六週 6/13, 6/15

第十一週 5/9, 5/11 第十二週 5/16, 5/18

第十三週 5/23, 5/25

第十四週 5/30, 6/1 第十五週 6/6, 6/8

第七週 4/11, 4/13

第八週 4/18, 4/20

第十週 5/2, 5/4 13. Vector

functions 11. Infinite sequences and

series

15. Multiple integrals

16. Vector calculus

緩衝時間

期中考 4/28(六) 09:00~11:30 考試範圍 11.1~14.8(英文命題) 緩衝時間 第九週

4/25, 4/27 14. Partial

derivatives

4/4 兒童節放假

第五週

3/28, 3/30

4/6 調整放假(於3月31日星期六補上班、上課) 2/28 和平紀念日放假

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