7.1 Curves Defined by Parametric Equations, 7.2 Calculus with Parametric Curves

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Syllabus and Teaching Philosophy線上觀看MP4下載
Preliminaries and Notations線上觀看MP4下載
Chapter 1 Limits and Derivatives
1.1 Limits of Sequences
1.2 Limits of Functions
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1.2 Limits of Functions
1.3 Evaluating Limits Analytically
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1.3 Evaluating Limits Analytically線上觀看MP4下載
1.4 Continuous Functions線上觀看MP4下載
1.5 Limits at infinity; Asymptotes
1.6 Differentiation
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1.6 Differentiation線上觀看MP4下載
1.6 Differentiation

Chapter 2 Rules of Differentiation
2.1 Rules of Differentiation
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2.1 Rules of Differentiation
2.2 Chain Rule
2.3 Implicit Differentiation
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2.3 Implicit Differentiation
2.4 The Differentiation of the Inverse Functions
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2.4 The Differentiation of the Inverse Functions
2.5 Differential and Linear Approximation

Chapter 3 Applications of Differentiation
3.1 Extreme Values on an Interval
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3.1 Extreme Values on an Interval線上觀看MP4下載
3.2 The First Derivative Test
3.3 Concavity and the Second Derivative Test
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3.3 Concavity and the Second Derivative Test
3.4 Summary of Curve Sketching
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3.4 Summary of Curve Sketching
3.5 Rolle’s Theorem and the Mean Value Theorem
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3.5 Rolle’s Theorem and the Mean Value Theorem
3.6 Indeterminate Forms and L'Hospital’s Rule
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3.6 Indeterminate Forms and L'Hospital’s Rule
3.7 Antiderivative
4.4 Indefinite Integrals

Chapter 5 Techniques of Integrals
(1)The Substitution Rule
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Chapter 5 Techniques of Integrals
(1)The Substitution Rule
(2) Integration by Parts
(3) Trigonometric Integrals I
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Chapter 5 Techniques of Integrals
Review of (1)-(3)
(4) Trigonometric Integrals II
(5) Trigonometric Substitution
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Chapter 5 Techniques of Integrals
(5) Trigonometric Substitution
(6) Half-Angle Substitution
(7) Integration of Rational Functions by Partial Fractions
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Chapter 5 Techniques of Integrals
(7) Integration of Rational Functions by Partial Fractions
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Chapter 4 Integration
4.1 Area
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4.1 Area
4.2 Properties of Integrals
4.3 Fundamental Theorem of Calculus
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Chapter 5 Techniques of Integrals
(8) Improper Integrals
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Chapter 6 Applications of Integration
6.1 Area of a Region Between Two Curves
6.2 Volume
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6.2 Volume
6.3 Arc Length
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7.1 Curves Defined by Parametric Equations
7.2 Calculus with Parametric Curves
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7.3 Polar Coordinates
7.4 Calculus with Parametric Curves
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Polar Curves線上觀看MP4下載
Review線上觀看MP4下載
Chapter 9 Vector and the Geometry of Space
9.1 Vectors in the Plane
9.2 Vectors in Space
9.3 The Dot Product of Two Vectors in Space
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