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Chapter 5 Techniques of Integrals: (8) Improper Integrals

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

Chapter 2 Rules of Differentiation
2.1 Rules of Differentiation		線上觀看
2.1 Rules of Differentiation
2.2 Chain Rule
2.3 Implicit Differentiation		線上觀看
2.3 Implicit Differentiation
2.4 The Differentiation of the Inverse Functions		線上觀看
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 		線上觀看
3.1 Extreme Values on an Interval線上觀看
3.2 The First Derivative Test
3.3 Concavity and the Second Derivative Test		線上觀看
3.3 Concavity and the Second Derivative Test
3.4 Summary of Curve Sketching 		線上觀看
3.4 Summary of Curve Sketching
3.5 Rolle’s Theorem and the Mean Value Theorem		線上觀看
3.5 Rolle’s Theorem and the Mean Value Theorem
3.6 Indeterminate Forms and L'Hospital’s Rule		線上觀看
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 		線上觀看
Chapter 5 Techniques of Integrals
(1)The Substitution Rule
(2) Integration by Parts
(3) Trigonometric Integrals I 		線上觀看
Chapter 5 Techniques of Integrals
Review of (1)-(3)
(4) Trigonometric Integrals II
(5) Trigonometric Substitution		線上觀看
Chapter 5 Techniques of Integrals
(5) Trigonometric Substitution
(6) Half-Angle Substitution
(7) Integration of Rational Functions by Partial Fractions		線上觀看
Chapter 5 Techniques of Integrals
(7) Integration of Rational Functions by Partial Fractions 		線上觀看
Chapter 4 Integration
4.1 Area		線上觀看
4.1 Area
4.2 Properties of Integrals
4.3 Fundamental Theorem of Calculus		線上觀看
Chapter 5 Techniques of Integrals
(8) Improper Integrals		線上觀看
Chapter 6 Applications of Integration
6.1 Area of a Region Between Two Curves
6.2 Volume		線上觀看
6.2 Volume
6.3 Arc Length		線上觀看
7.1 Curves Defined by Parametric Equations
7.2 Calculus with Parametric Curves		線上觀看
7.3 Polar Coordinates
7.4 Calculus with Parametric Curves		線上觀看
Polar Curves線上觀看
Review線上觀看
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		線上觀看
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