第 4 节，共 27 节
Calculus 2 Lecture 6.4: Derivatives and Integrals of General Exponential Functions
课时27 节课
- 1Calculus 2 Lecture 6.1: The Natural Log Function
- 2Calculus 2 Lecture 6.2: Derivatives of Inverse Functions
- 3Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions
- 4Calculus 2 Lecture 6.4: Derivatives and Integrals of General Exponential Functions
- 5Calculus 2 Lecture 6.5: Calculus of Inverse Trigonometric Functions
- 6Calculus 2 Lecture 6.6: A Discussion of Hyperbolic Functions
- 7Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms
- 8Calculus 2 Lecture 7.1: Integration By Parts
- 9Calculus 2 Lecture 7.2: Techniques For Trigonometric Integrals
- 10Calculus 2 Lecture 7.3: Integrals By Trigonometric Substitution
- 11Calculus 2 Lecture 7.4: Integration By Partial Fractions
- 12Calculus 2 Lecture 7.6: Improper Integrals
- 13Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables
- 14Calculus 2 Lecture 9.1: Convergence and Divergence of Sequences
- 15Calculus 2 Lecture 9.2: Series, Geometric Series, Harmonic Series, and Divergence Test
- 16Calculus 2 Lecture 9.3: Using the Integral Test for Convergence/Divergence of Series, P-Series
- 17Calculus 2 Lecture 9.4: The Comparison Test for Series and The Limit Comparison Test
- 18Calculus 2 Lecture 9.5: Showing Convergence With the Alternating Series Test, Finding Error of Sums
- 19Calculus 2 Lecture 9.6: Absolute Convergence, Ratio Test and Root Test For Series
- 20Calculus 2 Lecture 9.7: Power Series, Calculus of Power Series, Ratio Test for Int. of Convergence
- 21Calculus 2 Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series
- 22Calculus 2 Lecture 9.9: Approximation of Functions by Taylor Polynomials
- 23Calculus 2 Lecture 10.2: Introduction to Parametric Equations
- 24Calculus 2 Lecture 10.3: Calculus of Parametric Equations
- 25Calculus 2 Lecture 10.4: Using Polar Coordinates and Polar Equations
- 26Calculus 2 Lecture 10.5: Calculus of Polar Equations
- 27Numerical Integration With Trapezoidal and Simpson's Rule