Calculus 2 (Professor Leonard)
- Course audio
- Course audio: English
- Level
- Intermediate
- Length
- 27 lessons · 50.1 hours
What you'll be able to do
- Integrate by parts, trigonometric substitution and partial fractions
- Test infinite series for convergence
- Build Taylor and power series for functions
- Work with parametric and polar equations
About this course
Professor Leonard's full-length Calculus 2 lectures, recorded in his classroom: 27 videos, many over two hours, about 50 hours in all. Numbered by textbook section, it starts with the natural log function, derivatives of inverse functions, exponential and general exponential functions, inverse trigonometric and hyperbolic functions, and goes on through integration techniques (by parts, trigonometric integrals and substitution, partial fractions), improper integrals, sequences and series with convergence tests, power and Taylor series, parametric equations and polar coordinates, ending with numerical integration by the trapezoidal and Simpson's rules. Patient, example-heavy teaching.
Before you start: Calculus 1
Syllabus
27 lessons · 50:03:22 in total
- 1Calculus 2 Lecture 6.1: The Natural Log Function2:22:46
- 2Calculus 2 Lecture 6.2: Derivatives of Inverse Functions44:09
- 3Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions1:30:52
- 4Calculus 2 Lecture 6.4: Derivatives and Integrals of General Exponential Functions1:15:21
- 5Calculus 2 Lecture 6.5: Calculus of Inverse Trigonometric Functions1:52:50
- 6Calculus 2 Lecture 6.6: A Discussion of Hyperbolic Functions1:16:06
- 7Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms1:40:42
- 8Calculus 2 Lecture 7.1: Integration By Parts1:54:37
- 9Calculus 2 Lecture 7.2: Techniques For Trigonometric Integrals2:21:10
- 10Calculus 2 Lecture 7.3: Integrals By Trigonometric Substitution2:09:24
- 11Calculus 2 Lecture 7.4: Integration By Partial Fractions2:55:43
- 12Calculus 2 Lecture 7.6: Improper Integrals2:48:31
- 13Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables2:49:22
- 14Calculus 2 Lecture 9.1: Convergence and Divergence of Sequences2:27:29
- 15Calculus 2 Lecture 9.2: Series, Geometric Series, Harmonic Series, and Divergence Test2:01:40
- 16Calculus 2 Lecture 9.3: Using the Integral Test for Convergence/Divergence of Series, P-Series1:11:52
- 17Calculus 2 Lecture 9.4: The Comparison Test for Series and The Limit Comparison Test1:34:42
- 18Calculus 2 Lecture 9.5: Showing Convergence With the Alternating Series Test, Finding Error of Sums1:19:45
- 19Calculus 2 Lecture 9.6: Absolute Convergence, Ratio Test and Root Test For Series1:46:22
- 20Calculus 2 Lecture 9.7: Power Series, Calculus of Power Series, Ratio Test for Int. of Convergence2:29:49
- 21Calculus 2 Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series3:01:45
- 22Calculus 2 Lecture 9.9: Approximation of Functions by Taylor Polynomials1:34:10
- 23Calculus 2 Lecture 10.2: Introduction to Parametric Equations1:38:26
- 24Calculus 2 Lecture 10.3: Calculus of Parametric Equations1:34:19
- 25Calculus 2 Lecture 10.4: Using Polar Coordinates and Polar Equations2:01:36
- 26Calculus 2 Lecture 10.5: Calculus of Polar Equations1:12:46
- 27Numerical Integration With Trapezoidal and Simpson's Rule27:08
What to take next
Related courses
Videos by Professor Leonard, played from their official YouTube channel. Subscribe on YouTube
Official upload by the teacher or institution on their own channel, shown with YouTube's embedded player.
Lessons listed from the official YouTube playlist. Full playlist on YouTube
Lessons last checked Oct 2026. Course summary and lesson structure by Sabaq.
Report a problem or a rights request