5.3 The Fundamental Theorem of Calculus
| Week | Course Content | Course Video |
|---|---|---|
| 課程介紹 | Watch Online | |
| Week 01 | 1.5 Exponential Functions | Watch Online |
| Week 01 | 1.6 Inverse Functions and Logarithms | Watch Online |
| Week 01 | 2.2 The Limit of a Function | Watch Online |
| Week 01 | 2.3 Calculating Limits Using the Limit Laws | Watch Online |
| Week 02 | The Concept of limit --- revisit | Watch Online |
| Week 02 | 2.4 The Precise Definition of a Limit | Watch Online |
| Week 03 | 2.5.1 Continuity | Watch Online |
| Week 03 | 2.5.2 Concept on limit and continuity | Watch Online |
| Week 03 | 2.6 Limits at Infinity: Horizontal Asymptotes | Watch Online |
| Week 04 | 2.7 The Derivative of a Function | Watch Online |
| Week 04 | 2.7.1 Derivatives and the Tangent Lines | Watch Online |
| Week 04 | 3.10 Linear Approximations and Differentials | Watch Online |
| Week 04 | 3.2 The Product and Quotient Rules | Watch Online |
| Week 04 | 3.1 Derivatives of Polynomials and Exponential Functions 3.3 Derivatives of Trigonometric Functions | Watch Online |
| Week 05 | Revisit on differentiability | Watch Online |
| Week 05 | 3.4 The Chain Rule | Watch Online |
| Week 06 | 3.5 Implicit Differentiation | Watch Online |
| Week 06 | 3.5 (Continue) Derivatives of Inverse trigonometric Functions 3.6 Derivatives of Logarithmic Functions | Watch Online |
| Week 06 | 3.9 Related Rates | Watch Online |
| Week 07 | 4.1 Maximum and Minimum Values | Watch Online |
| Week 07 | 4.2 The Mean Value Theorem | Watch Online |
| Week 08 | 4.3 How Derivatives Affect the Shape of a Graph | Watch Online |
| Week 08 | 4.4-1 Indeterminate Forms and L’Hospital’s Rule | Watch Online |
| Week 08 | 4.4-2 Indeterminate Forms and L’Hospital’s Rule | Watch Online |
| Week 09 | 4.9 Antiderivatives | Watch Online |
| Week 10 | 5.1 Areas and Distances | Watch Online |
| Week 10 | 5.2 The Definite Integral | Watch Online |
| Week 10 | 5.3 The Fundamental Theorem of Calculus | Watch Online |
| Week 10 | 5.4 Indefinite Integrals and the Total Change Theorem | Watch Online |
| Week 11 | 5.5 The Substitution Rule | Watch Online |
| Week 11 | 6.1 Areas between Curves | Watch Online |
| Week 11 | 補充 :Logarithm Defined as an integral | Watch Online |
| Week 12 | 6.2 Volumes | Watch Online |
| Week 12 | 6.3 Volumes by Cylindrical Shells | Watch Online |
| Week 12 | 6.5 Average Value of a Function | Watch Online |
| Week 12 | 7.1 Integration by Parts | Watch Online |
| Week 12 | 7.2 Trigonometric Integrals | Watch Online |
| Week 13 | 7.3 Trigonometric Substitution | Watch Online |
| Week 13 | 7.4 Integration of Rational Functions by Partial Fractions | Watch Online |
| Week 14 | 7.7 Approximate Integration | Watch Online |
| Week 14 | 7.8 Improper Integrals | Watch Online |
| Week 14 | 8.1 Arc Length | Watch Online |
| Week 14 | 8.2 Area of a Surface of Revolution | Watch Online |
| Week 15 | 10.3 Polar Coordinates | Watch Online |
| Week 15 | 10.1 Curves Defined by Parametric Equations | Watch Online |
| Week 16 | 10.2 Calculus with Parametric Curves | Watch Online |
| Week 16 | 10.4 Areas and Lengths in Polar Coordinates (I) | Watch Online |
| Week 16 | 10.4 Areas and Lengths in Polar Coordinates (II) | Watch Online |
COURSE
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