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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
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| − | |Sept 3
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| − | |Cell size: volume, area. Power functions.
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| − | |Sec 1.1-1.2
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| − | |A1:22
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| − | |[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
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| − |
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| − | |- 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.
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| − | |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]
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| − | |LEK
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| − |
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| − | |- class="NewWeek EvenWeek"
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| − | |Week 2
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| − | |Sept 8
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| − | |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.)
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| − | |Sec 1.4, 1.5
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| − | |A1: 21,18,29
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| − | |[http://youtu.be/v13aqQaMaSE SRF1], [http://youtu.be/cXYCX8YBEVw SRF2], [http://youtu.be/kuMWI8kL1wI SRF3]
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| − | |EC
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| − |
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| − | |- class="EvenWeek"
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| − | |
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| − | |Sept 10
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| − | |Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
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| − | |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
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| − |
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| − | |- 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.
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| − | |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]
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| − | |WM
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| − |
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| − | |- class="NewWeek OddWeek"
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| − | |Week 3
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| − | |Sept 15
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| − | |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.)
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| − | |Sec 3.1-3.2
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| − | |
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| − | |[https://www.youtube.com/watch?v=E-owZqDrTkE&list=UUNHASevzeyPH-OZMax8iMAA]
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| − | |WM
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| − |
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| − | |- class="OddWeek"
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| − | |Sept 17
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| − | |Derivatives (cont): computational (spreadsheet example in class). More examples of sketching $f'(x)$ given $f(x)$ (intro).
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| − | |Sec 3.2-3.3
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| − | |[https://www.youtube.com/watch?v=aDJ0J9Z239s&feature=youtu.be]
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| − | |LEK
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| − |
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| − | |- class="OddWeek"
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| − | |Sept 19
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| − | |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).
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| − | |Chap 4
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| − | |A3: 29,33,34,30,31,22,23,32
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| − | |[https://www.youtube.com/watch?v=HNXv3bmMGZ0&index=2&list=UUNHASevzeyPH-OZMax8iMAA] [https://www.youtube.com/watch?v=twnyZasD-d4&index=3&list=UUNHASevzeyPH-OZMax8iMAA] [https://www.youtube.com/watch?v=giENfOUvE08&list=UUNHASevzeyPH-OZMax8iMAA&index=1]
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| − | |WM
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| − |
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| − | |- class="NewWeek EvenWeek"
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| − | |Week 4
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| − | |Sept 22
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| − | |Tangent lines and linear approximation.<br/>
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| − | |Chap 5
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| − | |A2: 22, A3: 14,15,16,17, A4: 4,5. A11: 19,20, A12: 4,6.
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| − | |[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].
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| − | |LEK
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| − |
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| − | |- class="EvenWeek"
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| − | |Sept 24
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| − | |Introduction to Newton’s method. Sketching the graph of a function using calculus tools: increasing, decreasing, critical points.
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| − | |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).
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| − | |[http://youtu.be/teRQpllWtaI NM1], [http://youtu.be/TcPb4zkWEfo NM2],[http://youtu.be/9nRU0V_3vjw NM3]
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| − | |EC
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| − |
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| − | |- class="EvenWeek"
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| − | |
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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
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| − |
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| − | |- class="NewWeek OddWeek"
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| − | |Week 5
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| − | |Sept 29
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| − | |Complete and/or review above topics.<br/><span class="emphasize">'''OSH 3 due!'''</span> (Section 105, due Tuesday.)
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| − | |
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| − |
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| − | |- class="OddWeek"
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| − | |
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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"
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| − | |Oct 1
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| − | |Finish sketching functions. Introduce simple optimization problem(s).
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| − | |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).
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| − | |
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| − | |EC
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| − | |- class="OddWeek"
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| − | |
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| − | |Oct 3
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| − | |More optimization examples including those with a constraint and those on bounded intervals. Distinction between absolute (global) and local minima and maxima.
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| − | |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).
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| − | |
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| − |
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| − | |- class="NewWeek EvenWeek"
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| − | |Week 6
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| − | |Oct 6
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| − | |Kepler's Wedding - A wine optimization problem.
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| − | |Sec 7.2
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| − | |A1: 11, A6: 14. Leah made up new Q's
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| − | |[http://www.educreations.com/lesson/view/kepler-s-wedding/23147433/?s=uq5ffc&ref=app]
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| − | |LEK
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| − |
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| − | |- class="EvenWeek"
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| − | |
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| − | |Oct 8
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| − | |Optimal Foraging.
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| − | |Sec 7.4
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| − | | Leah made up new Q's
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| − | |[http://www.educreations.com/lesson/view/optimal-foraging/23177297/?s=UledUg&ref=app]
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| − | |LEK
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| − |
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| − | |- class="EvenWeek"
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| − | |
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| − | |Oct 10
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| − | |Least Squares - finding the mean of a data set.
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| − | |Wiki
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| − | |
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| − | |
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| − | |EC
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| − |
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| − | |- class="NewWeek OddWeek"
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| − | |Week 7
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| − | |Oct 13
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| − | |THANKSGIVING - no classes.
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| − | |- class="OddWeek"
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| − | |
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| − | |Oct 15
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| − | |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.)
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| − | |Wiki
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| − | |
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| − | |
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| − | |EC
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| − |
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| − | |- class="OddWeek"
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| − | |
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| − | |Oct 17
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| − | |Chain Rule: examples, applications to optimization problems.
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| − | |Chap 8
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| − | |A7: 1,4 (chain). Need opt ex using chain.
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| − | |[http://www.educreations.com/lesson/view/optimization-problem/14708865/?s=SmFwgM&ref=app](temporary-LEK)
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| − | |WM
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| − |
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| − | |- class="NewWeek EvenWeek"
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| − | |Week 8
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| − | |Oct 20
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| − | |More Chain Rule: Related Rates and Implicit differentiation.
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| − | |Chap 9
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| − | |A6: 12, A7: 6, 8, 10, 14 (Imp diff). A7: 15, 17, 18 (related rates with chain).
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| − | |
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| − | |WM
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| − |
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| − | |- class="EvenWeek"
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| − | |
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| − | |Oct 22
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| − | |Exponential functions: intro and motivation, derivative of exponential functions.
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| − | |Sec 10.1-10.2
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| − | |A8: 27, (need more on doubling). A7: 21, 22, A8: 17, 23 (exp deriv).
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| − |
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| − |
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| − | |[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]
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| − | |LEK
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| − | |- class="EvenWeek"
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| − | |
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| − | |Oct 24
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| − | |Inverse functions and logarithm, applications of logs.
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| − | |Sec 10.3-10.4
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| − | |A8: 3, 4, 6, 7, 9. (log and log deriv). A8: 5, 12, 13, A7: 23 (work with exp/log).
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| − |
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| − | |
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| − | |WM
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| − |
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| − | |- class="NewWeek OddWeek"
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| − | |Week 9
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| − | |Oct 27
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| − | |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.)
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| − | |Sec 11.1-11.2 or 11.3
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| − | |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).
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| − | |[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]
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| − | | LEK
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| − |
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| − | |- class="OddWeek"
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| − | |
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| − | |Oct 29
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| − | |Solving differential equations of the type $dy/dt=a-by$.
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| − | |Sec 12.1-12.3
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| − | |A9: 7, 14 (write ODE, solve - maybe not pre-L). A9: 2, 3, 8, A11: 18 ($dy/dt=a-by$).
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| − | |[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]
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| − | |LEK
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| − |
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| − | |- class="OddWeek"
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| − | |
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| − | |Oct 31
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| − | |Newton's Law of Cooling (Murder Mystery example).
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| − | |Sec 12.4
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| − | |A9: 11, A11: 17.
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| − | |
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| − | |LEK
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| − |
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| − | |- class="NewWeek EvenWeek"
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| − | |Week 10
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| − | |Nov 3
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| − | |Complete and/or review above topics.
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| − | |Chaps 11-12
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| − | |
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| − | |
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| − | |
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| − |
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| − | |- class="EvenWeek"
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| − | |
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| − | |Nov 4
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| − | |<span class="emphasize">'''MIDTERM 2: 6-7 pm'''</span>
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| − | |
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| − | |
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| − | |
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| − |
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| − | |- class="EvenWeek"
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| − | |
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| − | |Nov 5
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| − | |Solving differential equations approximately using Euler's Method.
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| − | |Sec 12.4
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| − | |No pre-lecture problems. (day after midterm) (A9: 15, A10: 1,2.)
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| − | |[http://slesse.math.ubc.ca/Teaching/Screencasts/EulersMethod.mov]
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| − | |EC
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| − |
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| − | |- class="EvenWeek"
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| − | |
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| − | |Nov 7
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| − | |Go over midterm. Introduction to nonlinear ODEs, qualitative analysis.
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| − | |Sec 13.1
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| − | |A11: 23, A12: 22.
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| − | |[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app]
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| − | |LEK
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| − |
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| − | |- class="NewWeek OddWeek"
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| − | |Week 11
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| − | |Nov 10
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| − | |Geometry of change: (I) Slope fields, (II) State space .<br/><span class="emphasize">'''OSH 6 due!'''</span> (Section 105, due Thursday.)
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| − | |Sec 13.2
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| − | |A12: 20, 21, 25, 26 (log. growth). A11: 2, A12: 16,17.
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| − | |[http://www.educreations.com/lesson/view/geometry-of-change-i/23430270/?s=pB3DZB&ref=app],
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| − | [http://www.educreations.com/lesson/view/geometry-of-change-ii/23430914/?s=T8tWAw&ref=app]
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| − | |LEK
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| − |
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| − | |- class="OddWeek"
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| − | |
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| − | |Nov 11
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| − | |Remembrance Day. University closed.
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| − | |Sec 13.2
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| − | |
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| − |
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| − | |- class="OddWeek"
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| − | |
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| − | |Nov 12
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| − | |The Logistic equation (state space and slope field).
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| − | |Sec 13.2
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| − | |A11: 24,25 (ss). A12: 18,23 (slope fields). A12: 24 (stability).
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| − | |[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]
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| − | |LEK
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| − |
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| − | |- class="OddWeek"
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| − | |
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| − | |Nov 14
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| − | |Disease dynamics
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| − | |Sec 13.3
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| − | |
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| − | |[http://www.educreations.com/lesson/view/disease-dynamics-i/23465001/?s=pJChZV&ref=app],
| |
| − | [http://www.educreations.com/lesson/view/disease-dynamics-ii/23465479/?s=EG7QeI&ref=app]
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| − | |LEK
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| − |
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| − | |- class="NewWeek EvenWeek"
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| − | |Week 12
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| − | |Nov 17
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| − | |Review of differential equations and/or complete above topics.
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| − | |Chaps 11-13
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| − | |
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| − | |
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| − | |
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| − |
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| − | |- class="EvenWeek"
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| − | |
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| − | |Nov 19
| |
| − | |Introduction to Trigonometric Functions.
| |
| − | |Sec 14.1-14.2
| |
| − | |A9: 16,17,18,19. A10: 6,7,10.
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| − | |
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| − | |EC
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| − |
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| − | |- class="EvenWeek"
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| − | |
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| − | |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)
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| − | |EC
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| − |
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| − | |- class="NewWeek OddWeek"
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| − | |Week 13
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| − | |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).
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| − | |
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| − | |WM
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| − |
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| − | |- class="OddWeek"
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| − | |
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| − | |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)
| |
| − | |[http://www.educreations.com/lesson/view/visual-angles/23504229/?s=0mhFFb&ref=app]
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| − | |LEK
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| − |
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| − | |- class="OddWeek"
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| − | |
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| − | |Nov 28
| |
| − | |Second order ODEs. Complete and/or review trig.
| |
| − | |Sec 15.4
| |
| − | |A10: 17 (2nd order ODE).
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| − | |
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| − | |
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| − | |}
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| − |
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| − |
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| − | ===New version of table===
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| − |
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| | {| width=100% class="calendar" | | {| width=100% class="calendar" |
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Date
|
Video link
|
Topic
|
| Week 1
|
Sept 3
|
[1]
|
Power functions.
|
|
|
|
[2]
|
Cell size and nutrient balance: volume, area. Power functions.
|
|
|
Sept 5
|
[3]
|
Power functions (cont). Sketching simple polynomials (y=x^3-ax). Example of graphing with spreadsheet.
|
| Week 2
|
Sept 8
|
[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 ([ Demos demo]). Comparing Hill functions with different parameter values.
|
|
|
Sept 10
|
[7]
|
Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
|
|
|
|
[8]
|
Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change.
|
|
|
Sept 12
|
[9]
|
Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition.
|
|
|
|
[10]
|
Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition.
|
| Week 3
|
Sept 15
|
[11]
|
Derivatives: analytic, and geometric (zoom in on a point). Sketching $f'(x)$ given $f(x)$ (intro).
|
|
|
Sept 17
|
[12]
|
Derivatives (cont): computational (spreadsheet example in class). More examples of sketching $f'(x)$ given $f(x)$ (intro).
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|
|
Sept 19
|
[13]
|
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).
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|
|
|
[14]
|
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).
|
|
|
|
[15]
|
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
|
[16]
|
Tangent lines and linear approximation.
|
|
|
|
[17]
|
Tangent lines and linear approximation.
|
|
|
|
[18]
|
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.
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| Week 6
|
Oct 6
|
[19]
|
Kepler's Wedding - A wine optimization problem.
|
|
|
Oct 8
|
[20]
|
Optimal Foraging.
|
|
|
Oct 10
|
EC
|
Least Squares - finding the mean of a data set.
|
| Week 7
|
Oct 13
|
|
THANKSGIVING - no classes.
|
|
|
Oct 15
|
EC
|
Least Squares - finding the best fitting line y=ax through a set of data points.
|
|
|
Oct 17
|
[21](LEK),WM
|
Chain Rule: examples, applications to optimization problems.
|
| Week 8
|
Oct 20
|
WM
|
More Chain Rule: Related Rates and Implicit differentiation.
|
|
|
Oct 22
|
[22]
|
Exponential functions: intro and motivation, derivative of exponential functions.
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|
|
Oct 22
|
[23]
|
Exponential functions: intro and motivation, derivative of exponential functions.
|
|
|
Oct 24
|
WM
|
Inverse functions and logarithm, applications of logs.
|
| Week 9
|
Oct 27
|
[24]
|
Exponential growth and decay, intro to differential equations, population growth and/or other examples.
|
|
|
|
[25]
|
Exponential growth and decay, intro to differential equations, population growth and/or other examples.
|
|
|
|
[26]
|
Exponential growth and decay, intro to differential equations, population growth and/or other examples.
|
|
|
Oct 29
|
[27]
|
Solving differential equations of the type $dy/dt=a-by$.
|
|
|
Oct 29
|
[28]
|
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
|
[29]
|
Solving differential equations approximately using Euler's Method.
|
|
|
Nov 7
|
[30]
|
Go over midterm. Introduction to nonlinear ODEs, qualitative analysis.
|
| Week 11
|
Nov 10
|
[31]
|
Geometry of change: (I) Slope fields, (II) State space .
|
|
|
|
[32]
|
Geometry of change: (I) Slope fields, (II) State space .
|
|
|
Nov 11
|
|
Remembrance Day. University closed.
|
|
|
Nov 12
|
[33]
|
The Logistic equation (state space and slope field).
|
|
|
|
[34]
|
The Logistic equation (state space and slope field).
|
|
|
Nov 14
|
[35]
|
Disease dynamics
|
|
|
|
[36]
|
Disease dynamics
|
| Week 12
|
Nov 17
|
|
Review of differential equations and/or complete above topics.
|
|
|
Nov 19
|
EC
|
Introduction to Trigonometric Functions.
|
|
|
Nov 21
|
[37] (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.
|
|
|
Nov 26
|
[38]
|
The Escape Response and trigonometric related rates.
|
|
|
Nov 28
|
|
Second order ODEs. Complete and/or review trig.
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