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
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
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
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
