Difference between revisions of "Pre-lecture videos"

Latest revision as of 13:17, 12 September 2017

	Video link	Video contents
Week 1	[1]	Power functions - when is $x^n>x^m$ and where do they intersect. Introduction to even and odd functions.
	[2]	Cell size and nutrient balance: cell volume and area and the role of power functions in describing cell size limitations.
	[3]	Sketching simple polynomials (y=x^3-ax).
Week 2	[4]	Approximating a rational function near the origin.
	[5]	Approximating a rational function for large x. Introduction to Hill functions.
	[6]	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 1.4 and Appendix C.4 of the OpenBook (a.k.a."Course Notes").
	[7]	Average rate of change and secant lines. Instantaneous rate of change.
	[8]	Definition of the derivative.
	[9]	Continuity - definition and examples of three types of discontinuities.
	[10]	Examples of computing the derivative of a function from the definition of the derivative.
Week 3	[11]	Derivatives: analytic, and geometric (zoom in on a point). Sketching $f'(x)$ given $f(x)$ (intro).
	[12]	Using a spreadsheet to graph a function and its (approximate) derivative.
	[13]	Derivatives of polynomials.
	[14]	Rules of differentiation: Product and quotient rules.
Week 4	[15]	Rules of differentiation: Antiderivatives of polynomials.
	[16]	Equation of a Tangent line.
	[17]	Generic Tangent line and intro to Newton's method.
	[18]	Tangent lines and linear approximation.
	[19]	Introduction to Newton’s method - how it works and the formula for successive estimates.
Week 5	[20]	Introduction to Newton’s method - how to carry it out with a spreadsheet.
	[21]	Introduction to Newton’s method - how to choose a good $x_0$.
	[22]	Increasing, decreasing and critical points.
	[23]	Concavity and inflection points.
	[24]	Largest area of a rectangle inscribed in a semicircle
	[25]	Absolute Maximum and Minimum Values of a Function - Calculus I
Week 6	[26]	Kepler's Wedding - A wine optimization problem. (Blooper alert: want to get most wine for given budget)
	[27]	Optimal Foraging.
Week 7	[28]	Least Squares - finding the best fitting line y=ax through a set of data points. See also the Fitting data supplement to the course notes.
	[29]	Chain Rule: general introduction with examples
	[30]	Chain Rule: an applications to optimization problems involving plovers and crocodiles.
Week 8	[31]	Implicit differentiation.
	[32]	Related Rates.
	[33]	Exponential functions and doubling.
	[34]	Exponential functions: derivative of $a^x$.
Week 9	[35]	Inverse functions and logarithm, applications of logs.
	[36]	Differential equations for growth and decay.
	[37]	A differential equation for human population growth.
	[38]	A simple differential equation problem.
Week 10	[39]	Geometry of change: (I) Slope fields.
	[40]	Geometry of change: (II) State space. This one is more relevant to the pre-lecture questions but you should watch both.
	[41]	The Logistic equation I (state space and slope field).
	[42]	The Logistic equation II (state space and slope field).
Week 11	[43].	Solving differential equations of the type $dy/dt=a-by$.
	[44]	Solving differential equations approximately using Euler's Method - theory.
	[45]	Solving differential equations approximately using Euler's Method - spreadsheet.
Week 12	[46]	Disease dynamics I
	[47]	Disease dynamics II
	[48], [49]	Introduction to Trigonometric Functions and review of trigonometric identities.
	[50] (LEK),EC	Trigonometric Functions and cyclic processes, phase, amplitude, etc. (fitting a sin or cos to a cyclic process), Inverse trig functions.
Week 13	[51]	Derivatives of trig functions, related rates examples.
	[52][53]	The Escape Response and trigonometric related rates.

Difference between revisions of "Pre-lecture videos"

Latest revision as of 13:17, 12 September 2017

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+<!-- Number of views as of Sept 6, 2016: 78,801 -->
 {| width=100% class="calendar plainlinks"
 |-
 !width=8%|
-!width=7%|Date
 !width=10%|Video link
 !width=75%|Video contents
@@ Line 9: / Line 10: @@
 |- class="NewWeek OddWeek"
 |id="week1"|Week 1
-|Sept 3
 |[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"
-|
 |
 |[http://www.educreations.com/lesson/view/cell-size/23429678/?s=6FnDiS&ref=app]
@@ Line 21: / Line 20: @@
 |- class="OddWeek"
 |
-|Sept 5
 |[http://www.educreations.com/lesson/view/graphing-a-simple-polynomial/23126849/?s=W2B6ko&ref=app]
 |Sketching simple polynomials (y=x^3-ax).
@@ Line 27: / Line 25: @@
 |- class="NewWeek EvenWeek"
 |id="week2"|Week 2
-|Sept 8
 |[http://youtu.be/v13aqQaMaSE]
 |Approximating a rational function near the origin.
 |- class="EvenWeek"
-|
 |
 |[http://youtu.be/cXYCX8YBEVw]
@@ Line 38: / Line 34: @@
 |- class="EvenWeek"
-|
 |
 |[http://youtu.be/kuMWI8kL1wI]
-|Sketching Hill functions by hand and by Desmos ([[Online_interactive_tools|see Hill functions demo]]). Comparing Hill functions with different parameter values.
+|Sketching Hill functions by hand and by Desmos ([[Videos and demos|see Hill functions demo]]). Comparing Hill functions with different parameter values.
 |- class="EvenWeek"
 |
 |
-|
+|See video [1] above for an introduction to even and odd functions and also Sec 1.4 and Appendix C.4 of the OpenBook (a.k.a."Course Notes").
-|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.
 |- class="EvenWeek"
 |
-|Sept 10
 |[https://www.youtube.com/watch?v=-yXuSU_jHQ4&list=UUNHASevzeyPH-OZMax8iMAA]
 |Average rate of change and secant lines. Instantaneous rate of change.
 |- class="EvenWeek"
-|
 |
 |[https://www.youtube.com/watch?v=PT2XNveWFoI&list=UUNHASevzeyPH-OZMax8iMAA]
@@ Line 63: / Line 55: @@
 |- class="EvenWeek"
 |
-|Sept 12
 |[https://www.youtube.com/watch?v=2Yn05jvl0vI&list=UUNHASevzeyPH-OZMax8iMAA]
 |Continuity - definition and examples of three types of discontinuities.
 |- class="EvenWeek"
-|
 |
 |[https://www.youtube.com/watch?v=z4ED7eiNhBM&list=UUNHASevzeyPH-OZMax8iMAA]
@@ Line 75: / Line 65: @@
 |- class="NewWeek OddWeek"
 |id="week3"|Week 3
-|Sept 15
 |[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).
@@ Line 81: / Line 70: @@
 |- class="OddWeek"
 |
-|Sept 17-19
+|[https://www.educreations.com/lesson/view/using-a-spreadsheet-to-graph-a-function-and-its-de/24158741/?s=5I7yPP&ref=app]
-|[https://www.educreations.com/lesson/view/using-a-spreadsheet-to-graph-a-function-and-its-de/24158741/?s=5I7yPP&ref=app] NEW!!
 |Using a spreadsheet to graph a function and its (approximate) derivative.
 |- class="OddWeek"
-|
 |
 |[https://www.youtube.com/watch?v=HNXv3bmMGZ0&index=2&list=UUNHASevzeyPH-OZMax8iMAA]
@@ Line 92: / Line 79: @@
 |- class="OddWeek"
-|
-|
-|[https://www.youtube.com/watch?v=twnyZasD-d4&index=3&list=UUNHASevzeyPH-OZMax8iMAA]
-|Rules of differentiation:  Antiderivatives of polynomials.
-|- class="OddWeek"
-|
 |
 |[https://www.youtube.com/watch?v=giENfOUvE08&list=UUNHASevzeyPH-OZMax8iMAA&index=1]
@@ Line 105: / Line 85: @@
 |- class="NewWeek EvenWeek"
 |id="week4"|Week 4
-|Sept 22
+|[https://www.youtube.com/watch?v=twnyZasD-d4&index=3&list=UUNHASevzeyPH-OZMax8iMAA]
+|Rules of differentiation:  Antiderivatives of polynomials.
+|- class="EvenWeek"
+|
 |[http://www.educreations.com/lesson/view/equation-of-a-tangent-line/23143393/?s=JD4d1l&ref=app]
 |Equation of a Tangent line.
 |- class="EvenWeek"
-|
 |
 |[http://www.educreations.com/lesson/view/generic-tangent-line-and-intro-to-newton-s-method/23145498/?s=Ha5C44&ref=app]
@@ Line 116: / Line 99: @@
 |- class="EvenWeek"
-|
 |
 |[http://www.educreations.com/lesson/view/linear-approximation/23185994/?s=AN5Da8&ref=app]
@@ Line 123: / Line 105: @@
 |- class="EvenWeek"
 |
-|Sept 24
 |[http://youtu.be/teRQpllWtaI]
 |Introduction to Newton’s method - how it works and the formula for successive estimates.
-|- class="EvenWeek"
+|- 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="EvenWeek"
+|- class="OddWeek"
-|
 |
 |[http://youtu.be/9nRU0V_3vjw]
 |Introduction to Newton’s method - how to choose a good $x_0$.
-|- class="EvenWeek"
+|- class="OddWeek"
-|
 |
 |[https://www.youtube.com/watch?v=sDSt0G6dpzg]
 |Increasing, decreasing and critical points.
+|- class="OddWeek"
-|- class="EvenWeek"
 |
-|Sept 26
 |[http://youtu.be/_bRBbdsV7Hs]
 |Concavity and inflection points.
-|- class="NewWeek OddWeek"
-|id="week5"|Week 5
-|Sept 29
-|
-|
 |- class="OddWeek"
 |
-|Sept 30
+|[https://www.youtube.com/watch?v=wNMK92GVTO8]
-|
+|Largest area of a rectangle inscribed in a semicircle
-|<span class="emphasize">'''MIDTERM 1: 6-7 pm'''</span>
 |- class="OddWeek"
 |
-|Oct 1
+|[https://www.youtube.com/watch?v=JIQTPlBs154]
-|EC
+|Absolute Maximum and Minimum Values of a Function - Calculus I
-|Finish sketching functions. Introduce simple optimization problem(s).
-|- class="OddWeek"
-|
-|Oct 3
-|
-|More optimization examples including those with a constraint and those on bounded intervals. Distinction between absolute (global) and local minima and maxima.
 |- class="NewWeek EvenWeek"
 |id="week6"|Week 6
-|Oct 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)
@@ Line 184: / Line 145: @@
 |- class="EvenWeek"
 |
-|Oct 8
 |[http://www.educreations.com/lesson/view/optimal-foraging/23177297/?s=UledUg&ref=app]
 |Optimal Foraging.
-|- class="EvenWeek"
-|
-|Oct 10
-|[http://youtu.be/MB5zGQuDK5s],[http://slesse.math.ubc.ca/Teaching/Screencasts/LinearRegression1.mov],[http://slesse.math.ubc.ca/Teaching/Screencasts/LinearRegression2.mov]
-|Least Squares - finding the mean of a data set. See also the [[Course notes/Fitting data - least squares| Fitting data]] supplement to the course notes.
 |- class="NewWeek OddWeek"
 |id="week7"|Week 7
-|Oct 13
+|[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.
-|THANKSGIVING - no classes.
 |- class="OddWeek"
 |
-|Oct 15
+|[https://www.youtube.com/watch?v=-1A7ZbO5dDY&feature=youtu.be]
-|See Oct 10
+|Chain Rule: general introduction with examples
-||Least Squares - finding the best fitting line y=ax through a set of data points.
 |- class="OddWeek"
 |
-|Oct 17
+|[http://www.educreations.com/lesson/view/optimization-problem/14708865/?s=SmFwgM&ref=app]
-|[http://www.educreations.com/lesson/view/optimization-problem/14708865/?s=SmFwgM&ref=app], [https://www.youtube.com/watch?v=-1A7ZbO5dDY&feature=youtu.be]
+|Chain Rule: an applications to optimization problems involving plovers and crocodiles.
-|Chain Rule: examples, applications to optimization problems.
 |- class="NewWeek EvenWeek"
 |id="week8"|Week 8
-|Oct 20
+|[https://www.youtube.com/watch?v=CPIt13UItqI]
-|[https://www.youtube.com/watch?v=CPIt13UItqI][https://www.youtube.com/watch?v=ERZAbNW3x0w]
+|Implicit differentiation.
-|More Chain Rule: Related Rates and Implicit differentiation.
 |- class="EvenWeek"
 |
-|Oct 22
+|[https://www.youtube.com/watch?v=ERZAbNW3x0w]
-|[http://www.educreations.com/lesson/view/exponential-functions-and-doublings/23173031/?s=tzmKvB&ref=app]
+|Related Rates.
-|Exponential functions: intro and motivation, derivative of exponential functions.
 |- class="EvenWeek"
 |
-|Oct 22
+|[http://www.educreations.com/lesson/view/exponential-functions-and-doublings/23173031/?s=tzmKvB&ref=app]
-|[http://www.educreations.com/lesson/view/derivative-of-a-x/23176738/?s=hQQTNF&ref=app]
+|Exponential functions and doubling.
-|Exponential functions: intro and motivation, derivative of exponential functions.
 |- class="EvenWeek"
 |
-|Oct 24
+|[http://www.educreations.com/lesson/view/derivative-of-a-x/23176738/?s=hQQTNF&ref=app]
-|[https://www.youtube.com/watch?v=qrEuGgjVuqI&feature=youtu.be]
+|Exponential functions: derivative of $a^x$.
-|Inverse functions and logarithm, applications of logs.
 |- class="NewWeek OddWeek"
 |id="week9"|Week 9
-|Oct 27
+|[https://www.youtube.com/watch?v=qrEuGgjVuqI&feature=youtu.be]
-|[http://www.educreations.com/lesson/view/differential-equation-for-exponential-growth-and-d/23382026/?s=GyshbX&ref=app]
+|Inverse functions and logarithm, applications of logs.
-|Exponential growth and decay, intro to differential equations, population growth and/or other examples.
 |- class="OddWeek"
 |
+|[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"
 |
 |[http://youtu.be/5UFVLtEjUKo]
-|Exponential growth and decay, intro to differential equations, population growth and/or other examples.
+|A differential equation for human population growth.
 |- class="OddWeek"
-|
 |
 |[http://www.educreations.com/lesson/view/simple-differential-equation-problem/14300182/?s=GCrISn&ref=app]
-|Exponential growth and decay, intro to differential equations, population growth and/or other examples.
+|A simple differential equation problem.
-|- class="OddWeek"
-|
-|Oct 29
-|[http://www.educreations.com/lesson/view/solving-de-checking-that-a-function-is-a-solution/23384860/?s=qwZb1k&ref=app]
-|Solving differential equations of the type $dy/dt=a-by$.
-|- class="OddWeek"
-|
-|Oct 29
-|[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"
-|
-|Oct 31
-|LEK
-|Newton's Law of Cooling (Murder Mystery example).
 |- class="NewWeek EvenWeek"
 |id="week10"|Week 10
-|Nov 3
+|[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app]
-|
+|Geometry of change: (I) Slope fields.
-|Complete and/or review above topics.
 |- class="EvenWeek"
 |
-|Nov 4
+|[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.
-|<span class="emphasize">'''MIDTERM 2: 6-7 pm'''</span>
 |- class="EvenWeek"
 |
-|Nov 5
+|[http://www.educreations.com/lesson/view/logistic-equation/23431216/?s=2GkGkB&ref=app]
-|[https://www.youtube.com/watch?v=Yga2chpiLtc], [http://slesse.math.ubc.ca/Teaching/Screencasts/EulersMethod.mov]
+|The Logistic equation I (state space and slope field).
-|Solving differential equations approximately using Euler's Method.
 |- class="EvenWeek"
 |
-|Nov 7
+|[http://www.educreations.com/lesson/view/slope-field-for-a-differential-equation/14300653/?s=c6aBLN&ref=app]
-|[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app]
+|The Logistic equation II (state space and slope field).
-|Geometry of change: (I) Slope fields.
-|- class="EvenWeek"
-|
-|
-|[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="NewWeek OddWeek"
 |id="week11"|Week 11
-|Nov 10
+|[http://www.educreations.com/lesson/view/solving-a-diffl-eq-dy-dt-a-by/23385476/?s=ObLqjR&ref=app].
-|[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app]
+|Solving differential equations of the type $dy/dt=a-by$.
-|Geometry of change: (I) Slope fields.
 |- class="OddWeek"
 |
-|
+|[https://www.youtube.com/watch?v=Yga2chpiLtc]
-|[http://www.educreations.com/lesson/view/geometry-of-change-ii/23430914/?s=T8tWAw&ref=app]
+|Solving differential equations approximately using Euler's Method - theory.
-|Geometry of change: (II) State space.
 |- class="OddWeek"
 |
-|Nov 11
+|[https://www.youtube.com/watch?v=z7Kbp8hl950]
-|
+|Solving differential equations approximately using Euler's Method - spreadsheet.
-|Remembrance Day. University closed.
-|- class="OddWeek"
+|- class="NewWeek EvenWeek"
-|
+|id="week12"|Week 12
-|Nov 12
-|[http://www.educreations.com/lesson/view/logistic-equation/23431216/?s=2GkGkB&ref=app]
-|The Logistic equation (state space and slope field).
-|- class="OddWeek"
-|
-|
-|[http://www.educreations.com/lesson/view/slope-field-for-a-differential-equation/14300653/?s=c6aBLN&ref=app]
-|The Logistic equation (state space and slope field).
-|- class="OddWeek"
-|
-|Nov 14
 |[http://www.educreations.com/lesson/view/disease-dynamics-i/23465001/?s=pJChZV&ref=app]
-|Disease dynamics
+|Disease dynamics I
-|- class="OddWeek"
+|- class="EvenWeek"
-|
 |
 |[http://www.educreations.com/lesson/view/disease-dynamics-ii/23465479/?s=EG7QeI&ref=app]
-|Disease dynamics
+|Disease dynamics II
-|- class="NewWeek EvenWeek"
-|id="week12"|Week 12
-|Nov 17
-|
-|Review of differential equations and/or complete above topics.
 |- class="EvenWeek"
 |
-|Nov 19
 |[https://www.youtube.com/watch?v=vg1hmGI2WDM], [https://www.youtube.com/watch?v=XZ6O4dWaeZ0]
 |Introduction to Trigonometric Functions and review of trigonometric identities.
@@ Line 358: / Line 255: @@
 |- class="EvenWeek"
 |
-|Nov 21
 |[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.
@@ Line 364: / Line 260: @@
 |- class="NewWeek OddWeek"
 |id="week13"|Week 13
-|Nov 24
 |[http://youtu.be/mdYuQ2NDVgA]
 |Derivatives of trig functions, related rates examples.
@@ Line 370: / Line 265: @@
 |- class="OddWeek"
 |
-|Nov 26
 |[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.
-|- class="OddWeek"
-|
-|Nov 28
-|
-|Second order ODEs. Complete and/or review trig.
 |}