Difference between revisions of "Pre-lecture videos"

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(New version of table)
(New version of table)
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|Week 1
 
|Week 1
 
|Sept 3
 
|Sept 3
|[http://www.educreations.com/lesson/view/basic-power-functions/23046395/?s=Y7yMAU&ref=app OML 1]  
+
|[http://www.educreations.com/lesson/view/basic-power-functions/23046395/?s=Y7yMAU&ref=app]  
 
|Power functions.
 
|Power functions.
  
Line 403: Line 403:
 
|
 
|
 
|
 
|
|[http://www.educreations.com/lesson/view/cell-size/23429678/?s=6FnDiS&ref=app OML 2]
+
|[http://www.educreations.com/lesson/view/cell-size/23429678/?s=6FnDiS&ref=app]
 
|Cell size and nutrient balance: volume, area. Power functions.
 
|Cell size and nutrient balance: volume, area. Power functions.
  
Line 409: Line 409:
 
|
 
|
 
|Sept 5
 
|Sept 5
|[http://www.educreations.com/lesson/view/graphing-a-simple-polynomial/23126849/?s=W2B6ko&ref=app OML 3]
+
|[http://www.educreations.com/lesson/view/graphing-a-simple-polynomial/23126849/?s=W2B6ko&ref=app]
 
|Power functions (cont). Sketching simple polynomials (y=x^3-ax). Example of graphing with spreadsheet.
 
|Power functions (cont). Sketching simple polynomials (y=x^3-ax). Example of graphing with spreadsheet.
  
Line 415: Line 415:
 
|Week 2
 
|Week 2
 
|Sept 8
 
|Sept 8
|[http://youtu.be/v13aqQaMaSE OML 4]
+
|[http://youtu.be/v13aqQaMaSE]
 
|Approximating a rational function near the origin.
 
|Approximating a rational function near the origin.
  
Line 421: Line 421:
 
|
 
|
 
|
 
|
|[http://youtu.be/cXYCX8YBEVw OML 5]
+
|[http://youtu.be/cXYCX8YBEVw]
 
|Approximating a rational function for large x. Introduction to Hill functions.
 
|Approximating a rational function for large x. Introduction to Hill functions.
  
Line 427: Line 427:
 
|
 
|
 
|
 
|
|[http://youtu.be/kuMWI8kL1wI OML 6]
+
|[http://youtu.be/kuMWI8kL1wI]
 
|Sketching Hill functions by hand and by Desmos ([ Demos demo]). Comparing Hill functions with different parameter values.
 
|Sketching Hill functions by hand and by Desmos ([ Demos demo]). Comparing Hill functions with different parameter values.
  
Line 433: Line 433:
 
|
 
|
 
|Sept 10
 
|Sept 10
|[https://www.youtube.com/watch?v=-yXuSU_jHQ4&list=UUNHASevzeyPH-OZMax8iMAA OML 7]
+
|[https://www.youtube.com/watch?v=-yXuSU_jHQ4&list=UUNHASevzeyPH-OZMax8iMAA]
 
|Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
 
|Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
  
Line 439: Line 439:
 
|
 
|
 
|
 
|
|[https://www.youtube.com/watch?v=PT2XNveWFoI&list=UUNHASevzeyPH-OZMax8iMAA OML 8]
+
|[https://www.youtube.com/watch?v=PT2XNveWFoI&list=UUNHASevzeyPH-OZMax8iMAA]
 
|Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
 
|Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
  
Line 445: Line 445:
 
|
 
|
 
|Sept 12
 
|Sept 12
|[https://www.youtube.com/watch?v=2Yn05jvl0vI&list=UUNHASevzeyPH-OZMax8iMAA OML 9]
+
|[https://www.youtube.com/watch?v=2Yn05jvl0vI&list=UUNHASevzeyPH-OZMax8iMAA]
 
|Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition.
 
|Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition.
  
Line 451: Line 451:
 
|
 
|
 
|
 
|
|[https://www.youtube.com/watch?v=z4ED7eiNhBM&list=UUNHASevzeyPH-OZMax8iMAA OML 10]
+
|[https://www.youtube.com/watch?v=z4ED7eiNhBM&list=UUNHASevzeyPH-OZMax8iMAA]
 
|Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition.
 
|Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition.
|}
 
  
{|
 
 
|- class="NewWeek OddWeek"
 
|- class="NewWeek OddWeek"
 
|Week 3
 
|Week 3
 
|Sept 15
 
|Sept 15
|Derivatives: analytic, and geometric (zoom in on a point). Sketching $f'(x)$ given $f(x)$ (intro).<br/><span class="emphasize">'''OSH 2 due!'''</span> (Section 105, due Tuesday.)
 
|Sec 3.1-3.2
 
|
 
 
|[https://www.youtube.com/watch?v=E-owZqDrTkE&list=UUNHASevzeyPH-OZMax8iMAA]
 
|[https://www.youtube.com/watch?v=E-owZqDrTkE&list=UUNHASevzeyPH-OZMax8iMAA]
|WM
+
|Derivatives: analytic, and geometric (zoom in on a point). Sketching $f'(x)$ given $f(x)$ (intro).
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Sept 17
 
|Sept 17
|Derivatives (cont): computational (spreadsheet example in class). More examples of sketching $f'(x)$ given $f(x)$ (intro).
 
|Sec 3.2-3.3
 
|
 
 
|[https://www.youtube.com/watch?v=aDJ0J9Z239s&feature=youtu.be]
 
|[https://www.youtube.com/watch?v=aDJ0J9Z239s&feature=youtu.be]
|LEK
+
|Derivatives (cont): computational (spreadsheet example in class). More examples of sketching $f'(x)$ given $f(x)$ (intro).
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Sept 19
 
|Sept 19
 +
|WM
 
|Rules of differentiation:  Product and quotient rules. Antiderivatives of power functions. Application to falling ball, motion of Listeria. Sketching $f(x)$ given $f'(x)$ (intro).
 
|Rules of differentiation:  Product and quotient rules. Antiderivatives of power functions. Application to falling ball, motion of Listeria. Sketching $f(x)$ given $f'(x)$ (intro).
|Chap 4
 
|A3: 29,33,34,30,31,22,23,32
 
|
 
|WM
 
  
 
|- class="NewWeek EvenWeek"
 
|- class="NewWeek EvenWeek"
 
|Week 4
 
|Week 4
 
|Sept 22  
 
|Sept 22  
|Tangent lines and linear approximation.<br/>
+
|[http://www.educreations.com/lesson/view/equation-of-a-tangent-line/23143393/?s=JD4d1l&ref=app]
|Chap 5
+
|Tangent lines and linear approximation.
|A2: 22, A3: 14,15,16,17, A4: 4,5. A11: 19,20, A12: 4,6.
+
 
|[http://www.educreations.com/lesson/view/equation-of-a-tangent-line/23143393/?s=JD4d1l&ref=app], [http://www.educreations.com/lesson/view/generic-tangent-line-and-intro-to-newton-s-method/23145498/?s=Ha5C44&ref=app],[http://www.educreations.com/lesson/view/linear-approximation/23185994/?s=AN5Da8&ref=app].
+
|- class="EvenWeek"
|LEK
+
|
 +
|
 +
|[http://www.educreations.com/lesson/view/generic-tangent-line-and-intro-to-newton-s-method/23145498/?s=Ha5C44&ref=app]
 +
|Tangent lines and linear approximation.
 +
 
 +
|- class="EvenWeek"
 +
|
 +
|
 +
|[http://www.educreations.com/lesson/view/linear-approximation/23185994/?s=AN5Da8&ref=app]
 +
|Tangent lines and linear approximation.
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Sept 24
 
|Sept 24
 +
|[http://youtu.be/teRQpllWtaI NM1]
 
|Introduction to Newton’s method. Sketching the graph of a function using calculus tools: increasing, decreasing, critical points.
 
|Introduction to Newton’s method. Sketching the graph of a function using calculus tools: increasing, decreasing, critical points.
|End of Chap 5, Sec 6.1
 
|A12: 7,8,11,12 (NM). A3: 20,21,26,27, A4: 3 (slope).
 
|[http://youtu.be/teRQpllWtaI NM1], [http://youtu.be/TcPb4zkWEfo NM2],[http://youtu.be/9nRU0V_3vjw NM3]
 
|EC
 
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
|Sept 26
 
|Sketching the graph of a function using calculus tools (cont): concavity and inflection points.
 
|Sec 6.2-6.3
 
|A4: 10,11,15,20,25
 
 
|
 
|
 +
|[http://youtu.be/TcPb4zkWEfo NM2]
 +
|Introduction to Newton’s method. Sketching the graph of a function using calculus tools: increasing, decreasing, critical points.
 +
 +
|- class="EvenWeek"
 +
|
 +
|
 +
|[http://youtu.be/9nRU0V_3vjw NM3]
 +
|Introduction to Newton’s method. Sketching the graph of a function using calculus tools: increasing, decreasing, critical points.
 +
 +
|- class="EvenWeek"
 +
|
 +
|Sept 26
 
|EC
 
|EC
 +
|Sketching the graph of a function using calculus tools (cont): concavity and inflection points.
  
 
|- class="NewWeek OddWeek"
 
|- class="NewWeek OddWeek"
 
|Week 5
 
|Week 5
 
|Sept 29
 
|Sept 29
|Complete and/or review above topics.<br/><span class="emphasize">'''OSH 3 due!'''</span> (Section 105, due Tuesday.)
 
|
 
|
 
 
|
 
|
 
|
 
|
Line 522: Line 523:
 
|
 
|
 
|Sept 30
 
|Sept 30
|<span class="emphasize">'''MIDTERM 1: 6-7 pm'''</span>
 
|
 
|
 
|
 
 
|
 
|
 +
|<span class="emphasize">'''MIDTERM 1: 6-7 pm'''</span>
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Oct 1
 
|Oct 1
|Finish sketching functions. Introduce simple optimization problem(s).
 
|Sec 6.3-6.4, 7.1
 
|A3: 25, A4: 1,5,7 (rough sketches). A3: 35, A4: 6,8,9,18,19,27 (crit pts, local min/max).
 
|
 
 
|EC
 
|EC
 +
|Finish sketching functions. Introduce simple optimization problem(s).
 +
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Oct 3
 
|Oct 3
 +
|
 
|More optimization examples including those with a constraint and those on bounded intervals. Distinction between absolute (global) and local minima and maxima.
 
|More optimization examples including those with a constraint and those on bounded intervals. Distinction between absolute (global) and local minima and maxima.
|7.1-7.3
 
|A1: 13, A5: 17, A6: 4,12 ?? (constraint, bndd. int.). A4: 28, 29, 30, 31, 32 (global).
 
|
 
|
 
  
 
|- class="NewWeek EvenWeek"
 
|- class="NewWeek EvenWeek"
 
|Week 6
 
|Week 6
 
|Oct 6
 
|Oct 6
 +
|[http://www.educreations.com/lesson/view/kepler-s-wedding/23147433/?s=uq5ffc&ref=app]
 
|Kepler's Wedding - A wine optimization problem.
 
|Kepler's Wedding - A wine optimization problem.
|Sec 7.2
 
|A1: 11, A6: 14. Leah made up new Q's
 
|[http://www.educreations.com/lesson/view/kepler-s-wedding/23147433/?s=uq5ffc&ref=app]
 
|LEK
 
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Oct 8
 
|Oct 8
 +
|[http://www.educreations.com/lesson/view/optimal-foraging/23177297/?s=UledUg&ref=app]
 
|Optimal Foraging.
 
|Optimal Foraging.
|Sec 7.4
 
| Leah made up new Q's
 
|[http://www.educreations.com/lesson/view/optimal-foraging/23177297/?s=UledUg&ref=app]
 
|LEK
 
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Oct 10
 
|Oct 10
 +
|EC
 
|Least Squares - finding the mean of a data set.
 
|Least Squares - finding the mean of a data set.
|Wiki
 
|
 
|
 
|EC
 
  
 
|- class="NewWeek OddWeek"
 
|- class="NewWeek OddWeek"
 
|Week 7
 
|Week 7
 
|Oct 13
 
|Oct 13
 +
|
 
|THANKSGIVING - no classes.
 
|THANKSGIVING - no classes.
 +
 +
|- 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"
 
|- class="OddWeek"
 
|
 
|
|Oct 15
+
|Oct 29
|Least Squares - finding the best fitting line y=ax through a set of data points.<br/><span class="emphasize">'''OSH 4 due!'''</span> (Section 105, due Tuesday.)
+
|[http://www.educreations.com/lesson/view/solving-a-diffl-eq-dy-dt-a-by/23385476/?s=ObLqjR&ref=app]
|Wiki
+
|Solving differential equations of the type $dy/dt=a-by$.
|
+
|
+
|EC
+
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Oct 17
 
|Oct 17
 +
|[http://www.educreations.com/lesson/view/optimization-problem/14708865/?s=SmFwgM&ref=app](LEK),WM
 
|Chain Rule: examples, applications to optimization problems.
 
|Chain Rule: examples, applications to optimization problems.
|Chap 8
 
|A7: 1,4 (chain). Need opt ex using chain.
 
|[http://www.educreations.com/lesson/view/optimization-problem/14708865/?s=SmFwgM&ref=app](temporary-LEK)
 
|WM
 
  
 
|- class="NewWeek EvenWeek"
 
|- class="NewWeek EvenWeek"
 
|Week 8
 
|Week 8
 
|Oct 20
 
|Oct 20
 +
|WM
 
|More Chain Rule: Related Rates and Implicit differentiation.
 
|More Chain Rule: Related Rates and Implicit differentiation.
|Chap 9
+
 
|A6: 12, A7: 6, 8, 10, 14 (Imp diff). A7: 15, 17, 18 (related rates with chain).
+
|- class="EvenWeek"
 
|
 
|
|WM
+
|Oct 22
 +
|[http://www.educreations.com/lesson/view/exponential-functions-and-doublings/23173031/?s=tzmKvB&ref=app]
 +
|Exponential functions: intro and motivation, derivative of exponential functions.
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Oct 22
 
|Oct 22
 +
|[http://www.educreations.com/lesson/view/derivative-of-a-x/23176738/?s=hQQTNF&ref=app]
 
|Exponential functions: intro and motivation, derivative of exponential functions.
 
|Exponential functions: intro and motivation, derivative of exponential functions.
|Sec 10.1-10.2
 
|A8: 27, (need more on doubling). A7: 21, 22, A8: 17, 23 (exp deriv).
 
  
 
|[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]
 
|LEK
 
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Oct 24
 
|Oct 24
 +
|WM
 
|Inverse functions and logarithm, applications of logs.
 
|Inverse functions and logarithm, applications of logs.
|Sec 10.3-10.4
 
|A8: 3, 4, 6, 7, 9. (log and log deriv). A8: 5, 12, 13, A7: 23 (work with exp/log).
 
  
|
+
|- class="NewWeek OddWeek"
|WM
+
|Week 9
 +
|Oct 27
 +
|[http://www.educreations.com/lesson/view/differential-equation-for-exponential-growth-and-d/23382026/?s=GyshbX&ref=app]
 +
|Exponential growth and decay, intro to differential equations, population growth and/or other examples.
  
 
|- class="NewWeek OddWeek"
 
|- class="NewWeek OddWeek"
 
|Week 9
 
|Week 9
 
|Oct 27
 
|Oct 27
|Exponential growth and decay, intro to differential equations, population growth and/or other examples.<br/><span class="emphasize">'''OSH 5 due!'''</span> (Section 105, due Tuesday.)
+
|[http://youtu.be/5UFVLtEjUKo]
|Sec 11.1-11.2 or 11.3
+
|Exponential growth and decay, intro to differential equations, population growth and/or other examples.
|A8: 14 (bacterial growth). A8: Problem 29, 30, 34, 35 (simple ODE ex). A8: 32 (2x time). A8: 33, A9: 4,5,6 (radio decay).
+
 
|[http://www.educreations.com/lesson/view/differential-equation-for-exponential-growth-and-d/23382026/?s=GyshbX&ref=app],[http://youtu.be/5UFVLtEjUKo],[http://www.educreations.com/lesson/view/simple-differential-equation-problem/14300182/?s=GCrISn&ref=app]
+
|- class="NewWeek OddWeek"
| LEK
+
|Week 9
 +
|Oct 27
 +
|[http://youtu.be/5UFVLtEjUKo],[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.
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Oct 29
 
|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 $dy/dt=a-by$.
 
|Solving differential equations of the type $dy/dt=a-by$.
|Sec 12.1-12.3
 
|A9: 7, 14 (write ODE, solve - maybe not pre-L). A9: 2, 3, 8, A11: 18 ($dy/dt=a-by$).
 
|[http://www.educreations.com/lesson/view/solving-de-checking-that-a-function-is-a-solution/23384860/?s=qwZb1k&ref=app], [http://www.educreations.com/lesson/view/solving-a-diffl-eq-dy-dt-a-by/23385476/?s=ObLqjR&ref=app]
 
|LEK
 
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
|Oct 31
+
|Oct 29
|Newton's Law of Cooling (Murder Mystery example).
+
|[http://www.educreations.com/lesson/view/solving-a-diffl-eq-dy-dt-a-by/23385476/?s=ObLqjR&ref=app]
|Sec 12.4
+
|Solving differential equations of the type $dy/dt=a-by$.
|A9: 11, A11: 17.
+
 
 +
|- class="OddWeek"
 
|
 
|
 +
|Oct 31
 
|LEK
 
|LEK
 +
|Newton's Law of Cooling (Murder Mystery example).
  
 
|- class="NewWeek EvenWeek"
 
|- class="NewWeek EvenWeek"
 
|Week 10
 
|Week 10
 
|Nov 3
 
|Nov 3
|Complete and/or review above topics.
 
|Chaps 11-12
 
|
 
|
 
 
|
 
|
 +
|Complete and/or review above topics.
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Nov 4
 
|Nov 4
 +
|
 
|<span class="emphasize">'''MIDTERM 2: 6-7 pm'''</span>
 
|<span class="emphasize">'''MIDTERM 2: 6-7 pm'''</span>
|
 
|
 
|
 
|
 
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Nov 5
 
|Nov 5
 +
|[http://slesse.math.ubc.ca/Teaching/Screencasts/EulersMethod.mov]
 
|Solving differential equations approximately using Euler's Method.
 
|Solving differential equations approximately using Euler's Method.
|Sec 12.4
 
|No pre-lecture problems. (day after midterm) (A9: 15, A10: 1,2.)
 
|[http://slesse.math.ubc.ca/Teaching/Screencasts/EulersMethod.mov]
 
|EC
 
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Nov 7
 
|Nov 7
 +
|[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app],LEK
 
|Go over midterm. Introduction to nonlinear ODEs, qualitative analysis.
 
|Go over midterm. Introduction to nonlinear ODEs, qualitative analysis.
|Sec 13.1
+
 
|A11: 23, A12: 22.
+
|- class="NewWeek OddWeek"
 +
|Week 11
 +
|Nov 10
 
|[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app]
 
|[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app]
|LEK
+
|Geometry of change: (I) Slope fields, (II) State space .
  
 
|- class="NewWeek OddWeek"
 
|- class="NewWeek OddWeek"
 
|Week 11
 
|Week 11
 
|Nov 10
 
|Nov 10
|Geometry of change: (I) Slope fields, (II) State space .<br/><span class="emphasize">'''OSH 6 due!'''</span> (Section 105, due Thursday.)
+
|[http://www.educreations.com/lesson/view/geometry-of-change-ii/23430914/?s=T8tWAw&ref=app]
|Sec 13.2
+
|Geometry of change: (I) Slope fields, (II) State space .
|A12: 20, 21, 25, 26 (log. growth). A11: 2, A12: 16,17.
+
|[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app],
+
[http://www.educreations.com/lesson/view/geometry-of-change-ii/23430914/?s=T8tWAw&ref=app]
+
|LEK
+
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Nov 11
 
|Nov 11
|Remembrance Day. University closed.
 
|Sec 13.2
 
|
 
 
|
 
|
 +
|Remembrance Day. University closed.
 +
 +
|- class="OddWeek"
 
|
 
|
 +
|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"
 
|- class="OddWeek"
 
|
 
|
 
|Nov 12
 
|Nov 12
 +
|[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).
 
|The Logistic equation (state space and slope field).
|Sec 13.2
 
|A11: 24,25 (ss). A12: 18,23 (slope fields). A12: 24 (stability).
 
|[http://www.educreations.com/lesson/view/logistic-equation/23431216/?s=2GkGkB&ref=app],[http://www.educreations.com/lesson/view/slope-field-for-a-differential-equation/14300653/?s=c6aBLN&ref=app]
 
|LEK
 
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Nov 14
 
|Nov 14
 +
|[http://www.educreations.com/lesson/view/disease-dynamics-i/23465001/?s=pJChZV&ref=app]
 
|Disease dynamics  
 
|Disease dynamics  
|Sec 13.3
+
 
 +
|- class="OddWeek"
 
|
 
|
|[http://www.educreations.com/lesson/view/disease-dynamics-i/23465001/?s=pJChZV&ref=app],
+
|Nov 14
[http://www.educreations.com/lesson/view/disease-dynamics-ii/23465479/?s=EG7QeI&ref=app]
+
|[http://www.educreations.com/lesson/view/disease-dynamics-ii/23465479/?s=EG7QeI&ref=app]
|LEK
+
|Disease dynamics
  
 
|- class="NewWeek EvenWeek"
 
|- class="NewWeek EvenWeek"
 
|Week 12
 
|Week 12
 
|Nov 17
 
|Nov 17
|Review of differential equations and/or complete above topics.
 
|Chaps 11-13
 
|
 
|
 
 
|
 
|
 +
|Review of differential equations and/or complete above topics.
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Nov 19
 
|Nov 19
 +
|EC
 
|Introduction to Trigonometric Functions.
 
|Introduction to Trigonometric Functions.
|Sec 14.1-14.2
 
|A9: 16,17,18,19. A10: 6,7,10.
 
|
 
|EC
 
  
 
|- class="EvenWeek"
 
|- class="EvenWeek"
 
|
 
|
 
|Nov 21
 
|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.
 
|Trigonometric Functions and cyclic processes, phase, amplitude, etc. (fitting a sin or cos to a cyclic process), Inverse trig functions.
|Sec 14.2-14.3
 
|A9: 22, A10: 5, 12.
 
|[http://www.educreations.com/lesson/view/periodic-function/14693344/?s=kxJDte&ref=app] (LEK, temporary)
 
|EC
 
  
 
|- class="NewWeek OddWeek"
 
|- class="NewWeek OddWeek"
 
|Week 13
 
|Week 13
 
|Nov 24
 
|Nov 24
 +
|WM
 
|Derivatives of trig functions, related rates examples.<br/><span class="emphasize">'''OSH 7 due!'''</span> (Section 105, due Tuesday.)
 
|Derivatives of trig functions, related rates examples.<br/><span class="emphasize">'''OSH 7 due!'''</span> (Section 105, due Tuesday.)
|Sec 15.1-15.2
 
|A10: 15,16, A11: 3 (trig deriv). A11: 5,6,7,10 (trig rel rate).
 
|
 
|WM
 
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Nov 26
 
|Nov 26
 +
|[http://www.educreations.com/lesson/view/visual-angles/23504229/?s=0mhFFb&ref=app]
 
|The Escape Response and trigonometric related rates.  
 
|The Escape Response and trigonometric related rates.  
|Sec 15.3
 
|A10: 8,9,13,14 (inv trig). A10: 18,19,20, A11: 1,9 (inv trig deriv)
 
|[http://www.educreations.com/lesson/view/visual-angles/23504229/?s=0mhFFb&ref=app]
 
|LEK
 
  
 
|- class="OddWeek"
 
|- class="OddWeek"
 
|
 
|
 
|Nov 28
 
|Nov 28
|Second order ODEs. Complete and/or review trig.
 
|Sec 15.4
 
|A10: 17 (2nd order ODE).
 
|
 
 
|
 
|
 +
|Second order ODEs. Complete and/or review trig.
 +
 
|}
 
|}

Revision as of 14:05, 29 August 2014

Date Topic Notes Pre-L WeBWorK Videos By
Week 1 Sept 3 Cell size: volume, area. Power functions. Sec 1.1-1.2 A1:22 [1],[2] LEK
Sept 5 Power functions (cont). Sketching simple polynomials (y=x^3-ax). Example of graphing with spreadsheet. Sec 1.1, 1.4,1.6 A1:23 [3] LEK
Week 2 Sept 8 Sketching simple polynomials (cont). Rational functions, Michaelis-Menten and Hill functions, “limits” at infinity.
OSH 1 due! (Section 105, due Tuesday.)
Sec 1.4, 1.5 A1: 21,18,29 SRF1, SRF2, SRF3 EC
Sept 10 Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change. Sec 2.2-2.5 [4] [5] WM
Sept 12 Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition. Sec 2.5, Sec 3.2, Appendix D. A3:28 [6] [7] WM
Week 3 Sept 15 Derivatives: analytic, and geometric (zoom in on a point). Sketching $f'(x)$ given $f(x)$ (intro).
OSH 2 due! (Section 105, due Tuesday.)
Sec 3.1-3.2 [8] WM
Sept 17 Derivatives (cont): computational (spreadsheet example in class). More examples of sketching $f'(x)$ given $f(x)$ (intro). Sec 3.2-3.3 [9] LEK
Sept 19 Rules of differentiation: Product and quotient rules. Antiderivatives of power functions. Application to falling ball, motion of Listeria. Sketching $f(x)$ given $f'(x)$ (intro). Chap 4 A3: 29,33,34,30,31,22,23,32 [10] [11] [12] WM
Week 4 Sept 22 Tangent lines and linear approximation.
Chap 5 A2: 22, A3: 14,15,16,17, A4: 4,5. A11: 19,20, A12: 4,6. [13], [14],[15]. LEK
Sept 24 Introduction to Newton’s method. Sketching the graph of a function using calculus tools: increasing, decreasing, critical points. End of Chap 5, Sec 6.1 A12: 7,8,11,12 (NM). A3: 20,21,26,27, A4: 3 (slope). NM1, NM2,NM3 EC
Sept 26 Sketching the graph of a function using calculus tools (cont): concavity and inflection points. Sec 6.2-6.3 A4: 10,11,15,20,25 EC
Week 5 Sept 29 Complete and/or review above topics.
OSH 3 due! (Section 105, due Tuesday.)
Sept 30 MIDTERM 1: 6-7 pm
Oct 1 Finish sketching functions. Introduce simple optimization problem(s). Sec 6.3-6.4, 7.1 A3: 25, A4: 1,5,7 (rough sketches). A3: 35, A4: 6,8,9,18,19,27 (crit pts, local min/max). EC
Oct 3 More optimization examples including those with a constraint and those on bounded intervals. Distinction between absolute (global) and local minima and maxima. 7.1-7.3 A1: 13, A5: 17, A6: 4,12 ?? (constraint, bndd. int.). A4: 28, 29, 30, 31, 32 (global).
Week 6 Oct 6 Kepler's Wedding - A wine optimization problem. Sec 7.2 A1: 11, A6: 14. Leah made up new Q's [16] LEK
Oct 8 Optimal Foraging. Sec 7.4 Leah made up new Q's [17] LEK
Oct 10 Least Squares - finding the mean of a data set. Wiki EC
Week 7 Oct 13 THANKSGIVING - no classes.
Oct 15 Least Squares - finding the best fitting line y=ax through a set of data points.
OSH 4 due! (Section 105, due Tuesday.)
Wiki EC
Oct 17 Chain Rule: examples, applications to optimization problems. Chap 8 A7: 1,4 (chain). Need opt ex using chain. [18](temporary-LEK) WM
Week 8 Oct 20 More Chain Rule: Related Rates and Implicit differentiation. Chap 9 A6: 12, A7: 6, 8, 10, 14 (Imp diff). A7: 15, 17, 18 (related rates with chain). WM
Oct 22 Exponential functions: intro and motivation, derivative of exponential functions. Sec 10.1-10.2 A8: 27, (need more on doubling). A7: 21, 22, A8: 17, 23 (exp deriv).


[19],[20] LEK
Oct 24 Inverse functions and logarithm, applications of logs. Sec 10.3-10.4 A8: 3, 4, 6, 7, 9. (log and log deriv). A8: 5, 12, 13, A7: 23 (work with exp/log). WM
Week 9 Oct 27 Exponential growth and decay, intro to differential equations, population growth and/or other examples.
OSH 5 due! (Section 105, due Tuesday.)
Sec 11.1-11.2 or 11.3 A8: 14 (bacterial growth). A8: Problem 29, 30, 34, 35 (simple ODE ex). A8: 32 (2x time). A8: 33, A9: 4,5,6 (radio decay). [21],[22],[23] LEK
Oct 29 Solving differential equations of the type $dy/dt=a-by$. Sec 12.1-12.3 A9: 7, 14 (write ODE, solve - maybe not pre-L). A9: 2, 3, 8, A11: 18 ($dy/dt=a-by$). [24], [25] LEK
Oct 31 Newton's Law of Cooling (Murder Mystery example). Sec 12.4 A9: 11, A11: 17. LEK
Week 10 Nov 3 Complete and/or review above topics. Chaps 11-12
Nov 4 MIDTERM 2: 6-7 pm
Nov 5 Solving differential equations approximately using Euler's Method. Sec 12.4 No pre-lecture problems. (day after midterm) (A9: 15, A10: 1,2.) [26] EC
Nov 7 Go over midterm. Introduction to nonlinear ODEs, qualitative analysis. Sec 13.1 A11: 23, A12: 22. [27] LEK
Week 11 Nov 10 Geometry of change: (I) Slope fields, (II) State space .
OSH 6 due! (Section 105, due Thursday.)
Sec 13.2 A12: 20, 21, 25, 26 (log. growth). A11: 2, A12: 16,17. [28],

[29]

LEK
Nov 11 Remembrance Day. University closed. Sec 13.2
Nov 12 The Logistic equation (state space and slope field). Sec 13.2 A11: 24,25 (ss). A12: 18,23 (slope fields). A12: 24 (stability). [30],[31] LEK
Nov 14 Disease dynamics Sec 13.3 [32],

[33]

LEK
Week 12 Nov 17 Review of differential equations and/or complete above topics. Chaps 11-13
Nov 19 Introduction to Trigonometric Functions. Sec 14.1-14.2 A9: 16,17,18,19. A10: 6,7,10. EC
Nov 21 Trigonometric Functions and cyclic processes, phase, amplitude, etc. (fitting a sin or cos to a cyclic process), Inverse trig functions. Sec 14.2-14.3 A9: 22, A10: 5, 12. [34] (LEK, temporary) EC
Week 13 Nov 24 Derivatives of trig functions, related rates examples.
OSH 7 due! (Section 105, due Tuesday.)
Sec 15.1-15.2 A10: 15,16, A11: 3 (trig deriv). A11: 5,6,7,10 (trig rel rate). WM
Nov 26 The Escape Response and inverse trig functions. Sec 15.3 A10: 8,9,13,14 (inv trig). A10: 18,19,20, A11: 1,9 (inv trig deriv) [35] LEK
Nov 28 Second order ODEs. Complete and/or review trig. Sec 15.4 A10: 17 (2nd order ODE).


New version of table

Date Video link Topic
Week 1 Sept 3 [36] Power functions.
[37] Cell size and nutrient balance: volume, area. Power functions.
Sept 5 [38] Power functions (cont). Sketching simple polynomials (y=x^3-ax). Example of graphing with spreadsheet.
Week 2 Sept 8 [39] Approximating a rational function near the origin.
[40] Approximating a rational function for large x. Introduction to Hill functions.
[41] Sketching Hill functions by hand and by Desmos ([ Demos demo]). Comparing Hill functions with different parameter values.
Sept 10 [42] Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
[43] Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
Sept 12 [44] Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition.
[45] Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition.
Week 3 Sept 15 [46] Derivatives: analytic, and geometric (zoom in on a point). Sketching $f'(x)$ given $f(x)$ (intro).
Sept 17 [47] Derivatives (cont): computational (spreadsheet example in class). More examples of sketching $f'(x)$ given $f(x)$ (intro).
Sept 19 WM Rules of differentiation: Product and quotient rules. Antiderivatives of power functions. Application to falling ball, motion of Listeria. Sketching $f(x)$ given $f'(x)$ (intro).
Week 4 Sept 22 [48] Tangent lines and linear approximation.
[49] Tangent lines and linear approximation.
[50] Tangent lines and linear approximation.
Sept 24 NM1 Introduction to Newton’s method. Sketching the graph of a function using calculus tools: increasing, decreasing, critical points.
NM2 Introduction to Newton’s method. Sketching the graph of a function using calculus tools: increasing, decreasing, critical points.
NM3 Introduction to Newton’s method. Sketching the graph of a function using calculus tools: increasing, decreasing, critical points.
Sept 26 EC Sketching the graph of a function using calculus tools (cont): concavity and inflection points.
Week 5 Sept 29
Sept 30 MIDTERM 1: 6-7 pm
Oct 1 EC Finish sketching functions. Introduce simple optimization problem(s).
Oct 3 More optimization examples including those with a constraint and those on bounded intervals. Distinction between absolute (global) and local minima and maxima.
Week 6 Oct 6 [51] Kepler's Wedding - A wine optimization problem.
Oct 8 [52] Optimal Foraging.
Oct 10 EC Least Squares - finding the mean of a data set.
Week 7 Oct 13 THANKSGIVING - no classes.
Oct 29 [53] Solving differential equations of the type $dy/dt=a-by$.
Oct 29 [54] Solving differential equations of the type $dy/dt=a-by$.
Oct 17 [55](LEK),WM Chain Rule: examples, applications to optimization problems.
Week 8 Oct 20 WM More Chain Rule: Related Rates and Implicit differentiation.
Oct 22 [56] Exponential functions: intro and motivation, derivative of exponential functions.
Oct 22 [57] Exponential functions: intro and motivation, derivative of exponential functions.
Oct 24 WM Inverse functions and logarithm, applications of logs.
Week 9 Oct 27 [58] Exponential growth and decay, intro to differential equations, population growth and/or other examples.
Week 9 Oct 27 [59] Exponential growth and decay, intro to differential equations, population growth and/or other examples.
Week 9 Oct 27 [60],[61] Exponential growth and decay, intro to differential equations, population growth and/or other examples.
Oct 29 [62] Solving differential equations of the type $dy/dt=a-by$.
Oct 29 [63] Solving differential equations of the type $dy/dt=a-by$.
Oct 31 LEK Newton's Law of Cooling (Murder Mystery example).
Week 10 Nov 3 Complete and/or review above topics.
Nov 4 MIDTERM 2: 6-7 pm
Nov 5 [64] Solving differential equations approximately using Euler's Method.
Nov 7 [65],LEK Go over midterm. Introduction to nonlinear ODEs, qualitative analysis.
Week 11 Nov 10 [66] Geometry of change: (I) Slope fields, (II) State space .
Week 11 Nov 10 [67] Geometry of change: (I) Slope fields, (II) State space .
Nov 11 Remembrance Day. University closed.
Nov 12 [68] The Logistic equation (state space and slope field).
Nov 12 [69] The Logistic equation (state space and slope field).
Nov 14 [70] Disease dynamics
Nov 14 [71] Disease dynamics
Week 12 Nov 17 Review of differential equations and/or complete above topics.
Nov 19 EC Introduction to Trigonometric Functions.
Nov 21 [72] (LEK),EC Trigonometric Functions and cyclic processes, phase, amplitude, etc. (fitting a sin or cos to a cyclic process), Inverse trig functions.
Week 13 Nov 24 WM Derivatives of trig functions, related rates examples.
OSH 7 due! (Section 105, due Tuesday.)
Nov 26 [73] The Escape Response and trigonometric related rates.
Nov 28 Second order ODEs. Complete and/or review trig.