1.5 Limits at infinity; Asymptotes, 1.6 Differentiation
| Week | Course Content | Course Video |
|---|---|---|
| Syllabus and Teaching Philosophy | Watch Online | |
| Preliminaries and Notations | Watch Online | |
| Chapter 1 Limits and Derivatives 1.1 Limits of Sequences 1.2 Limits of Functions | Watch Online | |
| 1.2 Limits of Functions 1.3 Evaluating Limits Analytically | Watch Online | |
| 1.3 Evaluating Limits Analytically | Watch Online | |
| 1.4 Continuous Functions | Watch Online | |
| 1.5 Limits at infinity; Asymptotes 1.6 Differentiation | Watch Online | |
| 1.6 Differentiation | Watch Online | |
| 1.6 Differentiation Chapter 2 Rules of Differentiation 2.1 Rules of Differentiation | Watch Online | |
| 2.1 Rules of Differentiation 2.2 Chain Rule 2.3 Implicit Differentiation | Watch Online | |
| 2.3 Implicit Differentiation 2.4 The Differentiation of the Inverse Functions | Watch Online | |
| 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 | Watch Online | |
| 3.1 Extreme Values on an Interval | Watch Online | |
| 3.2 The First Derivative Test 3.3 Concavity and the Second Derivative Test | Watch Online | |
| 3.3 Concavity and the Second Derivative Test 3.4 Summary of Curve Sketching | Watch Online | |
| 3.4 Summary of Curve Sketching 3.5 Rolle’s Theorem and the Mean Value Theorem | Watch Online | |
| 3.5 Rolle’s Theorem and the Mean Value Theorem 3.6 Indeterminate Forms and L'Hospital’s Rule | Watch Online | |
| 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 | Watch Online | |
| Chapter 5 Techniques of Integrals (1)The Substitution Rule (2) Integration by Parts (3) Trigonometric Integrals I | Watch Online | |
| Chapter 5 Techniques of Integrals Review of (1)-(3) (4) Trigonometric Integrals II (5) Trigonometric Substitution | Watch Online | |
| Chapter 5 Techniques of Integrals (5) Trigonometric Substitution (6) Half-Angle Substitution (7) Integration of Rational Functions by Partial Fractions | Watch Online | |
| Chapter 5 Techniques of Integrals (7) Integration of Rational Functions by Partial Fractions | Watch Online | |
| Chapter 4 Integration 4.1 Area | Watch Online | |
| 4.1 Area 4.2 Properties of Integrals 4.3 Fundamental Theorem of Calculus | Watch Online | |
| Chapter 5 Techniques of Integrals (8) Improper Integrals | Watch Online | |
| Chapter 6 Applications of Integration 6.1 Area of a Region Between Two Curves 6.2 Volume | Watch Online | |
| 6.2 Volume 6.3 Arc Length | Watch Online | |
| 7.1 Curves Defined by Parametric Equations 7.2 Calculus with Parametric Curves | Watch Online | |
| 7.3 Polar Coordinates 7.4 Calculus with Parametric Curves | Watch Online | |
| Polar Curves | Watch Online | |
| Review | Watch Online | |
| 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 | Watch Online |
COURSE
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