Single Variable Calculus
by Prof. David Jerison
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Description
This introductory calculus course covers differentiation and integration of functions of one variable, with applications *Note: Lectures 8, 17, 27, 33 were the exams and therefore have no videos.
| Name | Description | Released | Price | ||
|---|---|---|---|---|---|
| 1 | VideoLecture 01: Derivatives, slope, velocity, rate of change | -- | 1/14/09 | Free | View In iTunes |
| 2 | VideoLecture 02: Limits, continuity. Trigonometric limits. | -- | 1/14/09 | Free | View In iTunes |
| 3 | VideoLecture 04: Chain rule. Higher derivatives. | -- | 1/14/09 | Free | View In iTunes |
| 4 | VideoLecture 03: Derivatives of products, quotients, sine, cosine. | -- | 1/14/09 | Free | View In iTunes |
| 5 | VideoLecture 05: Implicit differentiation, inverses. | -- | 1/14/09 | Free | View In iTunes |
| 6 | VideoLecture 06: Exponential and log. Logarithmic differentiation; hyperbolic functions. | -- | 1/14/09 | Free | View In iTunes |
| 7 | VideoLecture 07: Continuation and Review | -- | 1/14/09 | Free | View In iTunes |
| 8 | VideoLecture 09: Linear and quadratic approximations | -- | 2/19/09 | Free | View In iTunes |
| 9 | VideoLecture 10: Curve sketching | -- | 2/19/09 | Free | View In iTunes |
| 10 | VideoLecture 11: Max-min problems | -- | 2/19/09 | Free | View In iTunes |
| 11 | VideoLecture 12: Related rates | -- | 2/19/09 | Free | View In iTunes |
| 12 | VideoLecture 13: Newton's method and other applications | -- | 4/14/09 | Free | View In iTunes |
| 13 | VideoLecture 14: Mean value theorem; Inequalities | -- | 4/14/09 | Free | View In iTunes |
| 14 | VideoLecture 15: Differentials, antiderivatives | -- | 4/14/09 | Free | View In iTunes |
| 15 | VideoLecture 16: Differential equations, separation of variables | -- | 8/3/09 | Free | View In iTunes |
| 16 | VideoLecture 18: Definite integrals | -- | 8/13/09 | Free | View In iTunes |
| 17 | VideoLecture 19: First fundamental theorem of calculus | -- | 8/13/09 | Free | View In iTunes |
| 18 | VideoLecture 20: Second fundamental theorem | -- | 8/13/09 | Free | View In iTunes |
| 19 | VideoLecture 21: Applications to logarithms and geometry | -- | 8/13/09 | Free | View In iTunes |
| 20 | VideoLecture 22: Volumes by disks and shells | -- | 8/13/09 | Free | View In iTunes |
| 21 | VideoLecture 23: Work, average value, probability | -- | 8/13/09 | Free | View In iTunes |
| 22 | VideoLecture 24: Numerical integration | -- | 8/13/09 | Free | View In iTunes |
| 23 | VideoLecture 25: Exam 3 review | -- | 8/13/09 | Free | View In iTunes |
| 24 | VideoLecture 27: Trigonometric integrals and substitution | -- | 9/10/09 | Free | View In iTunes |
| 25 | VideoLecture 28: Integration by inverse substitution; completing the square use | -- | 9/10/09 | Free | View In iTunes |
| 26 | VideoLecture 29: Partial fractions | -- | 9/10/09 | Free | View In iTunes |
| 27 | VideoLecture 30: Integration by parts, reduction formulae | -- | 9/10/09 | Free | View In iTunes |
| 28 | VideoLecture 31: Parametric equations, arclength, surface area | -- | 9/10/09 | Free | View In iTunes |
| 29 | VideoLecture 32: Polar coordinates; area in polar coordinates | -- | 9/10/09 | Free | View In iTunes |
| 30 | VideoLecture 33: Exam 4 review | -- | 9/10/09 | Free | View In iTunes |
| 31 | VideoLecture 35: Indeterminate forms - L'Hôspital's rule | -- | 9/10/09 | Free | View In iTunes |
| 32 | VideoLecture 36: Improper integrals | -- | 9/10/09 | Free | View In iTunes |
| 33 | VideoLecture 37: Infinite series and convergence tests | -- | 9/10/09 | Free | View In iTunes |
| 34 | VideoLecture 38: Taylor's series | -- | 9/10/09 | Free | View In iTunes |
| 35 | VideoLecture 39: Final review | -- | 9/10/09 | Free | View In iTunes |
| Total: 35 Episodes |
Customer Reviews
Forever Grateful
Thank you MIT OCW for being generations ahead in your humanity!
Nice work
These are some of the clearest explanations I've seen of these concepts. Add to that the ability to pause or rewind and view clearly displayed formulas on the chalkboard and I feel like I'm grasping this subject fully for the first time.
Ruslan
David Jerison is simply the best. Calculus has never been so easy before. Thanks MIT OCW
