MTH142 covers Chapters 6 through 11 of Single Variable Calculus, UB Edition (2002) (or Calculus, Early Transcendentals, 4th Edition), by James Stewart.
This site contains streaming video excerpts from the Spring 2003 lectures in MTH 142BB, Professor Ann Piech's class. The excerpts cover basic calculus concepts, with examples. The site is updated with new material following each class meeting.
INSTRUCTIONS: Click on the name of the topic to go to the handouts and video clips for each lecture.
| Date | Section | Topic |
| 01/13/03 | 6.1 | Areas Between Curves |
| 01/15/03 | 6.2 | Volumes |
| 01/17/03 | 6.3 | Volumes by Cylindrical Shells |
| 01/22/03 | 6.5 | Average Value of a Function |
| Date | Section | Topic |
| 01/24/03 | 7.1 | Integration by Parts |
| 01/27/03 | 7.2 | Trigonometric Integrals |
| 01/29/03 | 7.3 | Trigonometric Substitutions |
| 01/31/03 | 7.4 | Integration of Rational Functions by Partial Fractions |
| 02/07/03 | 7.7 | Approximate Integration |
| 02/12/03 | 7.8 | Improper Integrals |
| Date | Section | Topic |
| 02/14/03 | 8.1 | Arc Length |
| 02/17/03 | 8.2 | Area of a Surface of Revolution |
| Date | Section | Topic |
| 02/19/03 | 9.4 | Exponential Growth and Decay |
| Date | Section | Topic |
| 02/21/03 | 10.1 | Curves Defined by Parametric Equations |
| 02/24/03 | 10.2 | Tangents and Areas |
| 02/26/03 | 10.3 | Arc Length and Surface Area |
| 03/05/03 | 10.4 | Polar Coordinates |
| 03/07/03 | 10.5 | Areas and Lengths in Polar Coordinates |
| Date | Section | Topic |
| 03/17/03 | 11.1 | Sequences |
| 03/19/03 | 11.2 | Series |
| 03/21/03 | 11.3 | The Integral Test and Estimates of Sums |
| 03/24/03 | 11.4 | The Comparison Tests |
| 03/26/03 | 11.5 | Alternating Series |
| 04/04/03 | 11.6 | Absolute Convergence and the Ratio and Root Tests |
| 04/07/03 and 04/09/03 | 11.8 | Power Series |
| 04/11/03 | 11.9 | Representations of Functions as Power Series |
| 04/14/03 | 11.10 (pt. 1) | Taylor and Maclaurin Series |
| 04/16/03 | 11.10 (pt. 2) | Taylor and Maclaurin Series |
| 04/18/03 | 11.11 | The Binomial Series |
| 04/21/03 | 11.12 | Applications of Taylor Polynomials |
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