3.11 Linear Approximations and Differentials
| 週次 | 課程內容 | 課程影音 |
|---|---|---|
| 第一章 Functions and Model 1.5 Exponential Functions | 線上觀看 | |
| 1.6 Inverse Functions and Logarithms | 線上觀看 | |
| 第二章 Limits and derivatives 2.2 The Limit of a Function | 線上觀看 | |
| 2.3 Calculating Limits Using the Limit Laws | 線上觀看 | |
| 2.4 The Precise Definition of a Limit | 線上觀看 | |
| 2.5 Continuity | 線上觀看 | |
| 2.6 Limits at Infinity, Horizontal Asymptotes | 線上觀看 | |
| 2.8 Derivatives | 線上觀看 | |
| 2.9 The Derivative as a Function | 線上觀看 | |
| 第三章 Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions | 線上觀看 | |
| 3.2 The Product and Quotient Rules | 線上觀看 | |
| 3.4 Derivatives of Trigonometric Functions | 線上觀看 | |
| 3.5 The Chain Rule | 線上觀看 | |
| 3.6 Implicit Differentiation | 線上觀看 | |
| 3.7 Higher Derivatives | 線上觀看 | |
| 3.8 Derivatives of Logarithmic Functions | 線上觀看 | |
| 3.10 Related Rates | 線上觀看 | |
| 3.11 Linear Approximations and Differentials | 線上觀看 | |
| 第四章 The Properties of Gases 4.1 Maximum and Minimum Values | 線上觀看 | |
| 4.2 The Mean Value Theorem | 線上觀看 | |
| 4.3 How Derivatives Affect the Shape of a Graph 4.5 Summary of Curve Sketching | 線上觀看 | |
| 4.4 Indeterminate Forms a nd L’Hospital’s Rule | 線上觀看 | |
| 4.7 Optimization Problems | 線上觀看 | |
| 4.10 Antiderivatives | 線上觀看 | |
| 第五章 Integrals 5.1 Areas and Distances | 線上觀看 | |
| 5.2 The Definite Integral | 線上觀看 | |
| 5.3 The Fundamental Theorem of Calculus | 線上觀看 | |
| 5.4 Indefinite Integrals and the Total Change Theorem | 線上觀看 | |
| 5.5 The Substitution Rule | 線上觀看 | |
| 5.6 The Logarithm Defined as an Integral | 線上觀看 | |
| 第六章 Applications of Integration 6.1 Areas between Curves | 線上觀看 | |
| 6.2 Volumes | 線上觀看 | |
| 第七章 Techniques of Integration 7.1 Integration by Parts | 線上觀看 | |
| 7.2 Trigonometric Integrals | 線上觀看 | |
| 7.3 Trigonometric Substitution | 線上觀看 | |
| 7.4 Integration of Rational Functions by Partial Fractions | 線上觀看 | |
| 7.7 Approximate Integration | 線上觀看 | |
| 7.8 Improper Integrals | 線上觀看 | |
| 第八章 Further Applications of Integration 8.1 Arc Length | 線上觀看 | |
| 8.2 Area of a Surface of Revolution | 線上觀看 | |
| 8.3 Applications to Physics and Engineering | 線上觀看 | |
| 第十章 Parametric Equations and Polar Coordinates 10.1 Curves Defined by Parametric Equations | 線上觀看 | |
| 10.2 Calculus with Parametric Curves | 線上觀看 | |
| 10.3 Polar Coordinates | 線上觀看 | |
| 10.4 Areas and Lengths in Polar Coordinates | 線上觀看 | |
| 重點回顧 | 線上觀看 |
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