Difference between revisions of "Pre-lecture videos"

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{| width=100% class="calendar"
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|-
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!width=7%|
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!width=7%|Date
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!width=35%|Topic
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!width=10%|Notes
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!width=10%|Pre-L WeBWorK
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!width=10%|Videos
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!width=10%|By
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|- class="NewWeek OddWeek"
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|Week 1
 +
|Sept 3
 +
|Cell size: volume, area. Power functions.
 +
|Sec 1.1-1.2
 +
|A1:22
 +
|[http://www.educreations.com/lesson/view/basic-power-functions/23046395/?s=Y7yMAU&ref=app],[http://www.educreations.com/lesson/view/cell-size/23429678/?s=6FnDiS&ref=app]
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|LEK
 +
 +
|- class="OddWeek"
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|
 +
|Sept 5
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|Power functions (cont). Sketching simple polynomials (y=x^3-ax). Example of graphing with spreadsheet.
 +
|Sec 1.1, 1.4,1.6
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|A1:23
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|[http://www.educreations.com/lesson/view/graphing-a-simple-polynomial/23126849/?s=W2B6ko&ref=app]
 +
|LEK
 +
 +
|- class="NewWeek EvenWeek"
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|Week 2
 +
|Sept 8
 +
|Sketching simple polynomials (cont). Rational functions, Michaelis-Menten and Hill functions, “limits” at infinity.<br/><span class="emphasize">'''OSH 1 due!'''</span> (Section 105, due Tuesday.)
 +
|Sec 1.4, 1.5
 +
|A1: 21,18,29
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|[http://youtu.be/v13aqQaMaSE SRF1], [http://youtu.be/cXYCX8YBEVw SRF2], [http://youtu.be/kuMWI8kL1wI SRF3]
 +
|EC
 +
 +
|- class="EvenWeek"
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|
 +
|Sept 10
 +
|Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
 +
|Sec 2.2-2.5
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|
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|[https://www.youtube.com/watch?v=-yXuSU_jHQ4&list=UUNHASevzeyPH-OZMax8iMAA] [https://www.youtube.com/watch?v=PT2XNveWFoI&list=UUNHASevzeyPH-OZMax8iMAA]
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|WM
 +
 +
|- class="EvenWeek"
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|
 +
|Sept 12
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|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.
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|A3:28
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|[https://www.youtube.com/watch?v=2Yn05jvl0vI&list=UUNHASevzeyPH-OZMax8iMAA] [https://www.youtube.com/watch?v=z4ED7eiNhBM&list=UUNHASevzeyPH-OZMax8iMAA]
 +
|WM
 +
 +
|- class="NewWeek OddWeek"
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|Week 3
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|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]
 +
|WM
 +
 +
|- class="OddWeek"
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|
 +
|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]
 +
|LEK
 +
 +
|- class="OddWeek"
 +
|
 +
|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
 +
|
 +
|WM
 +
 +
|- class="NewWeek EvenWeek"
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|Week 4
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|Sept 22
 +
|Tangent lines and linear approximation.<br/>
 +
|Chap 5
 +
|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].
 +
|LEK
 +
 +
|- class="EvenWeek"
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|
 +
|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
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|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]
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|EC
 +
 +
|- class="EvenWeek"
 +
|
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|Sept 26
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|Sketching the graph of a function using calculus tools (cont): concavity and inflection points.
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|Sec 6.2-6.3
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|A4: 10,11,15,20,25
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|
 +
|EC
 +
 +
|- class="NewWeek OddWeek"
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|Week 5
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|Sept 29
 +
|Complete and/or review above topics.<br/><span class="emphasize">'''OSH 3 due!'''</span> (Section 105, due Tuesday.)
 +
|
 +
|
 +
|
 +
|
 +
 +
|- class="OddWeek"
 +
|
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|Sept 30
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|<span class="emphasize">'''MIDTERM 1: 6-7 pm'''</span>
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|
 +
|
 +
|
 +
|
 +
 +
|- class="OddWeek"
 +
|
 +
|Oct 1
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|Finish sketching functions. Introduce simple optimization problem(s).
 +
|Sec 6.3-6.4, 7.1
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|A3: 25, A4: 1,5,7 (rough sketches). A3: 35, A4: 6,8,9,18,19,27 (crit pts, local min/max).
 +
|
 +
|EC
 +
|- 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.
 +
|7.1-7.3
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|A1: 13, A5: 17, A6: 4,12 ?? (constraint, bndd. int.). A4: 28, 29, 30, 31, 32 (global).
 +
|
 +
|
 +
 +
|- class="NewWeek EvenWeek"
 +
|Week 6
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|Oct 6
 +
|Kepler's Wedding - A wine optimization problem.
 +
|Sec 7.2
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|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"
 +
|
 +
|Oct 8
 +
|Optimal Foraging.
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|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"
 +
|
 +
|Oct 10
 +
|Least Squares - finding the mean of a data set.
 +
|Wiki
 +
|
 +
|
 +
|EC
 +
 +
|- class="NewWeek OddWeek"
 +
|Week 7
 +
|Oct 13
 +
|THANKSGIVING - no classes.
 +
|
 +
|
 +
|
 +
|
 +
 +
|- class="OddWeek"
 +
|
 +
|Oct 15
 +
|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.)
 +
|Wiki
 +
|
 +
|
 +
|EC
 +
 +
|- class="OddWeek"
 +
|
 +
|Oct 17
 +
|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"
 +
|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
 +
 +
|- class="EvenWeek"
 +
|
 +
|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).
 +
 +
 +
|[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"
 +
|
 +
|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
 +
 +
|- class="NewWeek OddWeek"
 +
|Week 9
 +
|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.)
 +
|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).
 +
|[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]
 +
| LEK
 +
 +
|- class="OddWeek"
 +
|
 +
|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 ($dy/dt=a-by$).
 +
|[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"
 +
|
 +
|Oct 31
 +
|Newton's Law of Cooling (Murder Mystery example).
 +
|Sec 12.4
 +
|A9: 11, A11: 17.
 +
|
 +
|LEK
 +
 +
|- class="NewWeek EvenWeek"
 +
|Week 10
 +
|Nov 3
 +
|Complete and/or review above topics.
 +
|Chaps 11-12
 +
|
 +
|
 +
|
 +
 +
|- class="EvenWeek"
 +
|
 +
|Nov 4
 +
|<span class="emphasize">'''MIDTERM 2: 6-7 pm'''</span>
 +
|
 +
|
 +
|
 +
|
 +
 +
|- class="EvenWeek"
 +
|
 +
|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.)
 +
|[http://slesse.math.ubc.ca/Teaching/Screencasts/EulersMethod.mov]
 +
|EC
 +
 +
|- class="EvenWeek"
 +
|
 +
|Nov 7
 +
|Go over midterm. Introduction to nonlinear ODEs, qualitative analysis.
 +
|Sec 13.1
 +
|A11: 23, A12: 22.
 +
|[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app]
 +
|LEK
 +
 +
|- class="NewWeek OddWeek"
 +
|Week 11
 +
|Nov 10
 +
|Geometry of change: (I) Slope fields, (II) State space .<br/><span class="emphasize">'''OSH 6 due!'''</span> (Section 105, due Thursday.)
 +
|Sec 13.2
 +
|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"
 +
|
 +
|Nov 11
 +
|Remembrance Day. University closed.
 +
|Sec 13.2
 +
|
 +
|
 +
|
 +
 +
|- class="OddWeek"
 +
|
 +
|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).
 +
|[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"
 +
|
 +
|Nov 14
 +
|Disease dynamics
 +
|Sec 13.3
 +
|
 +
|
 +
|LEK
 +
 +
|- class="NewWeek EvenWeek"
 +
|Week 12
 +
|Nov 17
 +
|Review of differential equations and/or complete above topics.
 +
|Chaps 11-13
 +
|
 +
|
 +
|
 +
 +
|- class="EvenWeek"
 +
|
 +
|Nov 19
 +
|Introduction to Trigonometric Functions.
 +
|Sec 14.1-14.2
 +
|A9: 16,17,18,19. A10: 6,7,10.
 +
|
 +
|EC
 +
 +
|- class="EvenWeek"
 +
|
 +
|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.
 +
|[http://www.educreations.com/lesson/view/periodic-function/14693344/?s=kxJDte&ref=app] (LEK, temporary)
 +
|EC
 +
 +
|- class="NewWeek OddWeek"
 +
|Week 13
 +
|Nov 24
 +
|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"
 +
|
 +
|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)
 +
|
 +
|LEK
 +
 +
|- class="OddWeek"
 +
|
 +
|Nov 28
 +
|Second order ODEs. Complete and/or review trig.
 +
|Sec 15.4
 +
|A10: 17 (2nd order ODE).
 +
|
 +
|
 +
|}
 +
 +
 +
===New version of table===
 +
 
{| width=100% class="calendar"
 
{| width=100% class="calendar"
  

Revision as of 14:14, 26 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 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. [10], [11],[12]. 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 [13] LEK
Oct 8 Optimal Foraging. Sec 7.4 Leah made up new Q's [14] 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. [15](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).


[16],[17] 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). [18],[19],[20] 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 ($dy/dt=a-by$). [21], [22] 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.) [23] EC
Nov 7 Go over midterm. Introduction to nonlinear ODEs, qualitative analysis. Sec 13.1 A11: 23, A12: 22. [24] 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. [25],

[26]

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). [27],[28] LEK
Nov 14 Disease dynamics Sec 13.3 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. [29] (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) LEK
Nov 28 Second order ODEs. Complete and/or review trig. Sec 15.4 A10: 17 (2nd order ODE).


New version of table

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 [30],[31] 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 [32] 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 [33] [34] 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 [35] [36] 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 [37] 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 [38] 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 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. [39], [40],[41]. 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 [42] LEK
Oct 8 Optimal Foraging. Sec 7.4 Leah made up new Q's [43] 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. [44](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).


[45],[46] 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). [47],[48],[49] 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 ($dy/dt=a-by$). [50], [51] 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.) [52] EC
Nov 7 Go over midterm. Introduction to nonlinear ODEs, qualitative analysis. Sec 13.1 A11: 23, A12: 22. [53] 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. [54],

[55]

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). [56],[57] LEK
Nov 14 Disease dynamics Sec 13.3 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. [58] (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) LEK
Nov 28 Second order ODEs. Complete and/or review trig. Sec 15.4 A10: 17 (2nd order ODE).
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