Math100Videos
Topic | Video link | Video contents | |
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Limits | Limits and tangent lines | [1] | Average and Instantaneous Velocity; secant and tangent line; limit notation |
One-sided limits | [2] | A simple example motivating one-sided limits | |
Limits, continued | [3] | Sometimes limits don't exist; one-sided limits; calculating limits | |
Limits at Infinity | [4] | Limits at infinity
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Continuity | Intro to Continuity | [5] | Before we learn the formal definition of a continuous function, dwell a little on what it means for a function's limit to differ from its value at a point. Being used to this behaviour will help you build intuition about continuity. |
Limits, Continuity, IVT | [6] | Strategies for evaluating limits; continuity; Intermediate Value Theorem
</tr>
<tr>
<td> Extra: continuity </td>
<td> <a href='100/video/dirichlet-video.mp4'>video</a> <tr>
<td rowspan=3> Derivatives </td>
<td> Intro to Derivatives </td>
<td> <a href='100/video/ReviewSept_21_15.mp4'>video</a> </td> </tr>
<tr>
<td rowspan=4> Differentiation </td>
<td> Product and Quotient Rules </td>
<td> <a href='100/video/ReviewSept25_15.mp4'>video</a> </td> </tr>
<tr>
<td> Exponential </td>
<td> <a href='100/video/Sept28.mp4'>video</a> </td> </tr>
<tr>
<td> Trigonometric </td>
<td> <a href='100/video/ReviewSept30_15.mp4'>video</a> </td> </tr>
<tr>
<td> Chain Rule </td>
<td> <a href='100/video/chain.mp4'>video</a> </td> </tr>
<tr>
<td> Review </td>
<td> Inverse Functions </td>
<td> <a href='100/video/inverses.mp4'>video</a> </td> </tr>
<tr>
<td> Differentiation </td>
<td> Logarithms </td>
<td> <a href='100/video/logarithmic.mp4'>video</a> </td> </tr>
<tr>
<td> Rates of Change </td>
<td> Rates of Change </td>
<td> <a href='100/video/RatesofChange.mp4'>video</a> </td> </tr>
<tr>
<td rowspan=2> Exponential change </td>
<td> Rates of Change </td>
<td> <a href='100/video/decay.mp4'>video</a> </td> </tr>
<tr>
<td> Newton's Law of Cooling </td>
<td> <a href='100/video/cooling.mp4'>video</a> </td> </tr>
<tr>
<td> Related Rates </td>
<td> Related Rates </td>
<td> <a href='100/video/RelatedRates.mp4'>video</a> </td> </tr>
<tr>
<td rowspan=3> Polynomial Approximations </td>
<td> First Approximations </td>
<td> <a href='100/video/Approx1.mp4'>video</a> </td> </tr>
<tr>
<td rowspan=2> Error Bounding </td>
<td> <a href='100/video/sqrt.mp4'>video</a> </td> </tr>
<tr>
<td> <a href='100/video/ln.mp4'>video</a> </td> </tr>
<tr>
<td> Mean Value Theorem </td>
<td> <a href='100/video/MVT.mp4'>video</a> </td> </tr>
<tr>
<td rowspan=3> Curve Sketching </td>
<td> Curve Sketching 1 </td>
<td> <a href='100/video/sketch1.mp4'>video</a>
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[7] | Approximating a rational function near the origin. | ||
[8] | Approximating a rational function for large x. Introduction to Hill functions. | ||
[9] | Sketching Hill functions by hand and by Desmos (see Hill functions demo). Comparing Hill functions with different parameter values. | ||
See video [1] above for an introduction to even and odd functions and also Sec 1.2.3 and Appendix C.D of the course notes. | |||
[10] | Average rate of change and secant lines. Instantaneous rate of change. | ||
[11] | Definition of the derivative. | ||
[12] | Continuity - definition and examples of three types of discontinuities. | ||
[13] | Examples of computing the derivative of a function from the definition of the derivative.
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