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Class DayDateSectionReading Topic (pages)WeBWorK AssignmentSuggested Problems (these problems are for extra practice ONLY - they will not be collected)NOTES
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1Tuesday, 1/311.2First Order Equations (p.7–13)1-Reviewp.14: 1, 2(a–c,e–h), 4(a–f), 5, 6, [optional: 9]
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2Thursday, 2/22.1Linear First Order Equations (p.30–41)2-NonHomogeneousLinearp.41: 1–9 odd, 17–23 odd, 31–37 odd
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3Tuesday, 2/72.2Separable Equations (p.45–52)3-Separablep.52: 2, 3, 6, 12, 17–27 odd, 28, 35, 37
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4Thursday, 2/9
Classes cancelled due to snow
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5Tuesday, 2/142.4Transformation of Nonlinear Equations into Separable Equations (p.62–68)4-Bernoulli-nosub
4b-Homogeneous-YoverX		p.68: 1–4, 7–11 odd, 15–18, 23–27 odd
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6Thursday, 2/162.5Exact Equations (p.73–79)5-Exactp.79: 1–21 odd, 29, 30, 33, 34
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7Tuesday, 2/214.1 4.2Growth and Decay (p.130–137) Cooling and Mixing (p.140–147)6-Modeling1-PopulationAndCoolingp.138: 1–7 odd, 11, 13, 17 p.148: 1–11 odd, 15NOTE: This lecture took two days day in Spring 2017, instead of one as scheduled
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8Thursday, 2/234.1 4.2Growth and Decay (p.130–137) Cooling and Mixing (p.140–147)6-Modeling1-PopulationAndCoolingp.138: 1–7 odd, 11, 13, 17 p.148: 1–11 odd, 15NOTE: This lecture took two days day in Spring 2017, instead of one as scheduled
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9Tuesday, 2/28
EXAM 1 - through Sec 4.1
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10Thursday, 3/24.3Elementary Mechanics (p.151–160)6b-Modeling2-FallingObjectsp.160: 3, 5, 7, 10
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11Tuesday, 3/73.1Euler’s Method (p.96–106)7-Trench-EulersMethodp.106: 1–7 odd, 11–13, 15–19 odd, 20–22WeBWorK: Need to add additional problem(s) here
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12Thursday, 3/93.2The Improved Euler Method and related Methods (p.109–116)7b-Trench-ImprovedEulersMethodp.116: 1–7 odd, 11–13, 15–19 odd, 20–22WeBWorK: Need to add additional problem(s) here
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13Tuesday, 3/14
Classes cancelled due to snow
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14Thursday, 3/163.3The Runge-Kutta Method (p.119–124)p.124: 1–7 odd, 11–13, 15–19 odd, 20–22WeBWorK: Need to create a set with Runge-Kutta problems (or simply rely on project?)
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15Tuesday, 3/215.1 5.2Homogeneous Linear Equations (p.194–203)
Constant Coefficient Homogeneous Equations (p.210–217)		6-BasicSecondOrderp.203: 1–5 odd, 9–21 odd
p.217: 1–17 odd, 18–21		NOTE: I gave only the briefest introduction to 5.1, spent most of the day focussing on constant coefficient equation 5.2, covering the case where the characteristic equation has two distinct real roots
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16Thursday, 3/235.2Constant Coefficient Homogeneous Equations (p.210–217)7-SecondOrderRepeated
8-SecondOrderComplex		p.217: 1–17 odd, 18–21NOTE: I continued 5.2, covering repeated roots and complex roots
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17Tuesday, 3/285.3
5.4		Nonhomogeneous Linear Equations (p.221–227)
The Method of Undetermined Coefficients I (p.229–235)
9-Nonhomogeneous p.227: 1–5 odd, 9–13 odd, 16–20 even, 25–29 odd, 33–37 oddNOTE: Over the course of this lecture and the next I touched on the method of undetermined coefficients for forcing functions that are: exponential, polynomial, trigonometric, and some combinations (Sec 5.4, 5.5), with a focus on "guess a solution by observing the form of the forcing function". Did *not* cover every possiblity, and only a few examples for which the "obvious" guess was already a solution to the complementary equation. This matches the WeBWorK assignment (but book assignment should be updated).
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18Thursday, 3/305.4
5.5		The Method of Undetermined Coefficients I (p.229–235)
The Method of Undetermined Coefficients II (p238-244)		9-Nonhomogeneous p.235: 1–29 odd
(NEED TO ADD PROBLEMS FROM 5.5, remove some from 5.4)
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19Tuesday, 4/45.6Reduction of Order (p.248–252)10-Trench-ReductionOfOrderp.253 1–3, 5, 9, 13, 17, 19, 25, 31WeBWorK: Need to add additional problem(s), including nonhomogeneous (A good strategy would be: develop a nice problem format for homogeneous, adapt to nonhomogeneous, give 2 instances of each)
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20Thursday, 4/6
EXAM 2 - through Sec 5.4
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Spring Recess 4/10-4/18
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Thursday, 4/20
Monday Schedule
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5.7Variation of Parameters (p.255–262)p.262 1–5, 7, 11, 13, 31, 33, 34SKIP THIS FOR NOW TO MAKE UP TIME - CIRCLE BACK LATER IF POSSIBLE
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6.1 6.2Spring Problems I (p.268–277) Spring Problems II (p.279–284)p.277: 1, 3, 7–13 odd, 19, 21 p.288: 3, 4, 7–11 odd, 14–16SKIP THIS FOR NOW TO MAKE UP TIME - CIRCLE BACK LATER IF POSSIBLE
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6.2 6.3Spring Problems II (continued) (p.284–287) The RLC Circuit (p.290–295)p.288: 13, 17–20 p.295: 1–10SKIP THIS FOR NOW TO MAKE UP TIME - CIRCLE BACK LATER IF POSSIBLE
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21Tuesday, 4/257.1 7.2Review of Power Series (p.307–316) Series Solutions Near an Ordinary Point I (p.320–328)p.317: 1, 11, 13, 15–17 p.329: 1, 3, 8, 11–13, 19–25 oddToday I did a brief review of Taylor Series (following a "flipped class" style assignment over Spring Break, in which students watched several videos on Taylor Series and responded to a writing prompt on the OpenLab) - focussing on the idea of approximating a function at a point with polynomials. I then introduced the idea of series solutions to differential equations, and started an example (given this IVP, find the first 8 terms of the Taylor Series expansion and use them to approximate the value of y at given x).
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22Thursday, 4/277.3Series Solutions Near an Ordinary Point II (p.335–338)p.338: 1–5 odd, 19–23 odd, 33–37 odd, 41–45 oddToday I finished the example from yesterday. Then some followup discussion, introducing recurrence relations.
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23Tuesday, 5/27.4Regular Singular Points Euler Equations (p.344–346)p.347: 1–12
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24Thursday, 5/48.1Introduction to the Laplace Transform (p.394–402) [NOTE: use table on p.463 of textbook for homework]p.403: 1(a,b,d,e), 2(b,c,f,g,h,i), 4, 5, 18
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25Tuesday, 5/98.2The Inverse Laplace Transform (p.405–412) [NOTE: use table on p.463 of textbook for homework]p.412: 1(a,b,d,e), 2(a–e), 3(a–d), 4(a,d,e), 6(a), 7(a), 8(a,d)
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26Thursday, 5/11
EXAM 3 - through Sec 7.3(?)
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27Tuesday, 5/168.3Solution of Initial Value Problems (p.414–419) [NOTE: use table on p.463 of textbook for homework]p.419: 1–31 odd
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28Thursday, 5/188.6Convolutions (p.441–445) [NOTE: use table on p.463 of textbook for homework]p.450: 2(a,b,c,i,j,l,n), 3(a–c,e–g)
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29Tuesday, 5/23Review
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30Thursday, 5/25Final Exam
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