View source for Pre-lecture videos

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|id="week1"|Week 1
|[https://www.educreations.com/lesson/view/power-functions/23591979/?s=T9jC77&ref=app] 
|Power functions - when is $x^n>x^m$ and where do they intersect. Introduction to even and odd functions.

|- class="OddWeek"
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|[http://www.educreations.com/lesson/view/cell-size/23429678/?s=6FnDiS&ref=app]
|Cell size and nutrient balance: cell volume and area and the role of power functions in describing cell size limitations.

|- class="OddWeek"
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|[http://www.educreations.com/lesson/view/graphing-a-simple-polynomial/23126849/?s=W2B6ko&ref=app]
|Sketching simple polynomials (y=x^3-ax). 

|- class="NewWeek EvenWeek"
|id="week2"|Week 2
|[http://youtu.be/v13aqQaMaSE]
|Approximating a rational function near the origin.

|- class="EvenWeek"
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|[http://youtu.be/cXYCX8YBEVw]
|Approximating a rational function for large x. Introduction to Hill functions.

|- class="EvenWeek"
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|[http://youtu.be/kuMWI8kL1wI]
|Sketching Hill functions by hand and by Desmos ([[Videos and demos|see Hill functions demo]]). Comparing Hill functions with different parameter values.

|- class="EvenWeek"
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|See video [1] above for an introduction to even and odd functions and also Sec 1.4 and Appendix C.D of the course notes.

|- class="EvenWeek"
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|[https://www.youtube.com/watch?v=-yXuSU_jHQ4&list=UUNHASevzeyPH-OZMax8iMAA]
|Average rate of change and secant lines. Instantaneous rate of change.

|- class="EvenWeek"
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|[https://www.youtube.com/watch?v=PT2XNveWFoI&list=UUNHASevzeyPH-OZMax8iMAA]
|Definition of the derivative.

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|[https://www.youtube.com/watch?v=2Yn05jvl0vI&list=UUNHASevzeyPH-OZMax8iMAA]
|Continuity - definition and examples of three types of discontinuities.

|- class="EvenWeek"
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|[https://www.youtube.com/watch?v=z4ED7eiNhBM&list=UUNHASevzeyPH-OZMax8iMAA]
|Examples of computing the derivative of a function from the definition of the derivative.

|- class="NewWeek OddWeek"
|id="week3"|Week 3
|[https://www.youtube.com/watch?v=E-owZqDrTkE&list=UUNHASevzeyPH-OZMax8iMAA]
|Derivatives: analytic, and geometric (zoom in on a point). Sketching $f'(x)$ given $f(x)$ (intro).

|- class="OddWeek"
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|[https://www.educreations.com/lesson/view/using-a-spreadsheet-to-graph-a-function-and-its-de/24158741/?s=5I7yPP&ref=app] 
|Using a spreadsheet to graph a function and its (approximate) derivative.

|- class="OddWeek"
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|[https://www.youtube.com/watch?v=HNXv3bmMGZ0&index=2&list=UUNHASevzeyPH-OZMax8iMAA]
|Derivatives of polynomials.

|- class="OddWeek"
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|[https://www.youtube.com/watch?v=giENfOUvE08&list=UUNHASevzeyPH-OZMax8iMAA&index=1]
|Rules of differentiation:  Product and quotient rules. 

|- class="NewWeek EvenWeek"
|id="week4"|Week 4
|[https://www.youtube.com/watch?v=twnyZasD-d4&index=3&list=UUNHASevzeyPH-OZMax8iMAA]
|Rules of differentiation:  Antiderivatives of polynomials.

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/equation-of-a-tangent-line/23143393/?s=JD4d1l&ref=app]
|Equation of a Tangent line.

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/generic-tangent-line-and-intro-to-newton-s-method/23145498/?s=Ha5C44&ref=app]
|Generic Tangent line and intro to Newton's method.

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/linear-approximation/23185994/?s=AN5Da8&ref=app]
|Tangent lines and linear approximation.

|- class="EvenWeek"
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|[http://youtu.be/teRQpllWtaI]
|Introduction to Newton’s method - how it works and the formula for successive estimates. 

|- class="NewWeek OddWeek"
|id="week5"|Week 5
|[http://youtu.be/TcPb4zkWEfo]
|Introduction to Newton’s method - how to carry it out with a spreadsheet.

|- class="OddWeek"
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|[http://youtu.be/9nRU0V_3vjw]
|Introduction to Newton’s method - how to choose a good $x_0$.

|- class="OddWeek"
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|[https://www.youtube.com/watch?v=sDSt0G6dpzg]
|Increasing, decreasing and critical points.

|- class="OddWeek"
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|[http://youtu.be/_bRBbdsV7Hs]
|Concavity and inflection points.

|- class="OddWeek"
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|[https://www.youtube.com/watch?v=wNMK92GVTO8]
|Largest area of a rectangle inscribed in a semicircle

|- class="OddWeek"
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|[https://www.youtube.com/watch?v=JIQTPlBs154]
|Absolute Maximum and Minimum Values of a Function - Calculus I

|- class="NewWeek EvenWeek"
|id="week6"|Week 6
|[http://www.educreations.com/lesson/view/kepler-s-wedding/23147433/?s=uq5ffc&ref=app]
|Kepler's Wedding - A wine optimization problem. (Blooper alert: want to get most wine for given budget)

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/optimal-foraging/23177297/?s=UledUg&ref=app]
|Optimal Foraging.

|- class="NewWeek OddWeek"
|id="week7"|Week 7
|[http://youtu.be/MB5zGQuDK5s]
|Least Squares -  finding the best fitting line y=ax through a set of data points. See also the [[Course notes/Fitting data - least squares| Fitting data]] supplement to the course notes.

|- class="OddWeek"
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|[https://www.youtube.com/watch?v=-1A7ZbO5dDY&feature=youtu.be]
|Chain Rule: general introduction with examples

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|[http://www.educreations.com/lesson/view/optimization-problem/14708865/?s=SmFwgM&ref=app]
|Chain Rule: an applications to optimization problems involving plovers and crocodiles.

|- class="NewWeek EvenWeek"
|id="week8"|Week 8
|[https://www.youtube.com/watch?v=CPIt13UItqI]
|Implicit differentiation.

|- class="EvenWeek"
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|[https://www.youtube.com/watch?v=ERZAbNW3x0w]
|Related Rates.

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/exponential-functions-and-doublings/23173031/?s=tzmKvB&ref=app]
|Exponential functions and doubling.

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/derivative-of-a-x/23176738/?s=hQQTNF&ref=app]
|Exponential functions: derivative of $a^x$.

|- class="NewWeek OddWeek"
|id="week9"|Week 9
|[https://www.youtube.com/watch?v=qrEuGgjVuqI&feature=youtu.be]
|Inverse functions and logarithm, applications of logs.

|- class="OddWeek"
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|[http://www.educreations.com/lesson/view/differential-equation-for-exponential-growth-and-d/23382026/?s=GyshbX&ref=app]
|Differential equations for growth and decay.

|- class="OddWeek"
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|[http://youtu.be/5UFVLtEjUKo]
|A differential equation for human population growth.

|- class="OddWeek"
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|[http://www.educreations.com/lesson/view/simple-differential-equation-problem/14300182/?s=GCrISn&ref=app]
|A simple differential equation problem.

|- class="NewWeek EvenWeek"
|id="week10"|Week 10
|[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app]
|Geometry of change: (I) Slope fields.

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/geometry-of-change-ii/23430914/?s=T8tWAw&ref=app]
|Geometry of change: (II) State space. This one is more relevant to the pre-lecture questions but you should watch both.

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/logistic-equation/23431216/?s=2GkGkB&ref=app]
|The Logistic equation I (state space and slope field).

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/slope-field-for-a-differential-equation/14300653/?s=c6aBLN&ref=app]
|The Logistic equation II (state space and slope field).

|- class="NewWeek OddWeek"
|id="week11"|Week 11
|[http://www.educreations.com/lesson/view/solving-a-diffl-eq-dy-dt-a-by/23385476/?s=ObLqjR&ref=app].
|Solving differential equations of the type $dy/dt=a-by$.

|- class="OddWeek"
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|[https://www.youtube.com/watch?v=Yga2chpiLtc]
|Solving differential equations approximately using Euler's Method - theory.

|- class="OddWeek"
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|[https://www.youtube.com/watch?v=z7Kbp8hl950]
|Solving differential equations approximately using Euler's Method - spreadsheet.

|- class="NewWeek EvenWeek"
|id="week12"|Week 12
|[http://www.educreations.com/lesson/view/disease-dynamics-i/23465001/?s=pJChZV&ref=app]
|Disease dynamics I

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/disease-dynamics-ii/23465479/?s=EG7QeI&ref=app]
|Disease dynamics II

|- class="EvenWeek"
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|[https://www.youtube.com/watch?v=vg1hmGI2WDM], [https://www.youtube.com/watch?v=XZ6O4dWaeZ0]
|Introduction to Trigonometric Functions and review of trigonometric identities.

|- class="EvenWeek"
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|[http://www.educreations.com/lesson/view/periodic-function/14693344/?s=kxJDte&ref=app] (LEK),EC
|Trigonometric Functions and cyclic processes, phase, amplitude, etc. (fitting a sin or cos to a cyclic process), Inverse trig functions.

|- class="NewWeek OddWeek"
|id="week13"|Week 13
|[http://youtu.be/mdYuQ2NDVgA]
|Derivatives of trig functions, related rates examples.

|- class="OddWeek"
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|[http://www.educreations.com/lesson/view/visual-angles/23504229/?s=0mhFFb&ref=app][https://www.educreations.com/lesson/view/visual-angles-part-2-escape-response/26980643/?s=YzbN0D&ref=app]
|The Escape Response and trigonometric related rates. 

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