4.1 Area, 4.2 Properties of Integrals, 4.3 Fundamental Theorem of Calculus

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課程內容	課程影音	課程下載
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	線上觀看	MP4下載
1.2 Limits of Functions 1.3 Evaluating Limits Analytically	線上觀看	MP4下載
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	線上觀看	MP4下載
1.6 Differentiation	線上觀看	MP4下載
1.6 Differentiation Chapter 2 Rules of Differentiation 2.1 Rules of Differentiation	線上觀看	MP4下載
2.1 Rules of Differentiation 2.2 Chain Rule 2.3 Implicit Differentiation	線上觀看	MP4下載
2.3 Implicit Differentiation 2.4 The Differentiation of the Inverse Functions	線上觀看	MP4下載
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	MP4下載
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	線上觀看	MP4下載
3.3 Concavity and the Second Derivative Test 3.4 Summary of Curve Sketching	線上觀看	MP4下載
3.4 Summary of Curve Sketching 3.5 Rolle’s Theorem and the Mean Value Theorem	線上觀看	MP4下載
3.5 Rolle’s Theorem and the Mean Value Theorem 3.6 Indeterminate Forms and L'Hospital’s Rule	線上觀看	MP4下載
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	MP4下載
Chapter 5 Techniques of Integrals (1)The Substitution Rule (2) Integration by Parts (3) Trigonometric Integrals I	線上觀看	MP4下載
Chapter 5 Techniques of Integrals Review of (1)-(3) (4) Trigonometric Integrals II (5) Trigonometric Substitution	線上觀看	MP4下載
Chapter 5 Techniques of Integrals (5) Trigonometric Substitution (6) Half-Angle Substitution (7) Integration of Rational Functions by Partial Fractions	線上觀看	MP4下載
Chapter 5 Techniques of Integrals (7) Integration of Rational Functions by Partial Fractions	線上觀看	MP4下載
Chapter 4 Integration 4.1 Area	線上觀看	MP4下載
4.1 Area 4.2 Properties of Integrals 4.3 Fundamental Theorem of Calculus	線上觀看	MP4下載
Chapter 5 Techniques of Integrals (8) Improper Integrals	線上觀看	MP4下載
Chapter 6 Applications of Integration 6.1 Area of a Region Between Two Curves 6.2 Volume	線上觀看	MP4下載
6.2 Volume 6.3 Arc Length	線上觀看	MP4下載
7.1 Curves Defined by Parametric Equations 7.2 Calculus with Parametric Curves	線上觀看	MP4下載
7.3 Polar Coordinates 7.4 Calculus with Parametric Curves	線上觀看	MP4下載
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	線上觀看	MP4下載

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