週次 | 課程內容 | 課程影音 | 課程下載 |
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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 | 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 |