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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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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週次	課程內容	課程影音
	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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