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2 | Session | Section and Topic - CURRENT SCHEDULE | Section and Topic - PLANNED | Pages | Suggested Textbook Problems (these problems are for extra practice ONLY - they will not be collected) | WeBWorK Assignment (tentative - each homework will be finalized before it is assigned) | |||||||||||||||
3 | 1 | Tuesday, 1/29 | 1.2 First Order Equations [OPTIONAL: 1.3 Direction Fields for First Order Equations] | 1.2 First Order Equations [OPTIONAL: 1.3 Direction Fields for First Order Equations] | 7-13 16-17 | p.14: 1, 2(a-c,e-h), 4(a-f), 5, 6, [optional: p. 14: 9 and p. 21: 1-11] | 1-Review | ||||||||||||||
4 | 2 | Thursday, 1/31 | 2.1 Linear First Order Equations | 2.1 Linear First Order Equations | 30-41 | p.41: 1-9 odd, 17-23 odd, 31-37 odd, 38, 40, 42 | 2-NonHomogeneousLinear | ||||||||||||||
5 | 3 | Tuesday, 2/5 | 2.2 Separable Equations | 2.2 Separable Equations | 45-52 | p.52: 2, 3, 6, 12, 17-27 odd, 28, 35, 37 | 3-Separable | ||||||||||||||
6 | 4 | Thursday, 2/7 | 2.4 Transformation of Nonlinear Equations into Separable Equations | 2.4 Transformation of Nonlinear Equations into Separable Equations | 62-68 | p.68: 1-4, 7-11 odd, 15-18, 23-27 odd | 4-Bernoulli-nosub 4b-Homogeneous-YoverX | ||||||||||||||
7 | Tuesday, 2/12 | Lincoln's Birthday | Lincoln's Birthday | ||||||||||||||||||
8 | 5 | Thursday, 2/14 | 2.5 Exact Equations | 2.5 Exact Equations | 73-79 | p.79: 1-21 odd, 29, 30, 33, 34 | 5-Exact | ||||||||||||||
9 | 6 | Tuesday, 2/19 | 4.1 Growth and Decay | 4.1 Growth and Decay 4.2 Cooling and Mixing 4.3 Elementary Mechanics | 130-137 140-147 151-160 | p.138: 1-7 odd, 11, 13, 17 p.148: 1-11 odd, 15 p.160: 3, 5, 7, 10 | 6-Modeling1-PopulationAndCooling | ||||||||||||||
10 | 7 | Thursday, 2/21 | 4.2 Cooling and Mixing | 4.1/4.2/4.3 cont'd | 6b-Modeling2-FallingObjects | ||||||||||||||||
11 | 8 | Tuesday, 2/26 | First Examination | First Examination | |||||||||||||||||
12 | 9 | Thursday, 2/28 | (finished "Cooling", started 3.1 Euler's Method) | 3.1 Euler's Method | 96-106 | p.106: 1-7 odd, 11-13, 15-19 odd, 20-22 | 7-Trench-EulersMethod | ||||||||||||||
13 | 10 | Tuesday, 3/5 | 3.1 Euler's Method cont'd | 3.2 The Improved Euler Method and Related Methods | 109-116 | p.116: 1-7 odd, 11-13, 15-19 odd, 20-22 | 7b-Trench-ImprovedEulersMethod | ||||||||||||||
14 | 11 | Thursday, 3/7 | 3.2 The Improved Euler Method and Related Methods | 3.3 The Runge-Kutta Method | 119-124 | p.124: 1-7 odd, 11-13, 15-19 odd, 20-22 | TBD | ||||||||||||||
15 | 12 | Tuesday, 3/12 | 3.3 The Runge-Kutta Method | 5.1 Homogeneous Linear Equations | 194-203 | p.203: 1-5 | 6-BasicSecondOrder | ||||||||||||||
16 | 13 | Thursday, 3/14 | 5.1, 5.2 Constant Coefficient Homogeneous | 5.2 Constant Coefficient Homogeneous Equations | 210-217 | p.217: 1-17 odd, 18-21 | 7-SecondOrderRepeated 8-SecondOrderComplex | ||||||||||||||
17 | 14 | Tuesday, 3/19 | 5.1, 5.2 Constant Coefficient Homogeneous | 5.3 Nonhomogeneous Linear Equations | 221-227 | p.227: 1-5 odd, 9-13 odd, 16-20 even, 25-29 odd, 33-37 odd | 9-Nonhomogeneous | ||||||||||||||
18 | 15 | Thursday, 3/21 | 5.3 Nonhomogeneous Linear Equations | 5.4 The Method of Undetermined Coefficients I | 229-235 | p.235: 1-29 odd | 9-Nonhomogeneous | ||||||||||||||
19 | 16 | Tuesday, 3/26 | 5.4 The Method of Undetermined Coefficients I | Second Examination | |||||||||||||||||
20 | 17 | Thursday, 3/28 | 5.6 Reduction of Order | 5.6 Reduction of Order | 248-252 | p.253: 1-3, 5, 9, 13, 17, 19, 25, 31 | 10-Trench-ReductionOfOrder | ||||||||||||||
21 | 18 | Tuesday, 4/2 | Second Examination | 5.7 Variation of Parameters | 255-262 | p.262: 1-5, 7, 11, 13, 31, 33, 34 | |||||||||||||||
22 | 19 | Thursday, 4/4 | 7.1 Review of Power Series 7.2 Series Solutions Near an Ordinary Point I | 6.1 Spring Problems I 6.2 Spring Problems II | 268-277 279-284 | p.277: 1, 3, 7-13 odd, 19, 21 p.288: 3, 4, 7-11 odd, 14-16 | TBD | ||||||||||||||
23 | 20 | Tuesday, 4/9 | 7.3 Series Solutions Near an Ordinary Point II | 6.2 Spring Problems II (continued) 6.3 The RLC Circuit | 284-287 290-295 | p.288: 13, 17-20 p.295: 1-10 | TBD | ||||||||||||||
24 | 21 | Thursday, 4/11 | 7.3 Series Solutions cont'd | 7.1 Review of Power Series 7.2 Series Solutions Near an Ordinary Point I | 307-316 320-328 | p.317: 1, 11, 13, 15-17 p.329: 1, 3, 8, 11-13, 19-25 odd | 11-Trench-SeriesSolutions | ||||||||||||||
25 | 22 | Tuesday, 4/16 | 7.4 Regular Singular Points Euler Equations | 7.3 Series Solutions Near an Ordinary Point II | 335-338 | p.338: 1-5 odd, 19-23 odd, 33-37 odd, 41-45 odd | TBD | ||||||||||||||
26 | 23 | Thursday, 4/18 | 5.7 Variation of Parameters | Third Examination | |||||||||||||||||
27 | Tuesday, 4/23 | Spring Break | |||||||||||||||||||
28 | Thursday, 4/25 | Spring Break | |||||||||||||||||||
29 | 24 | Tuesday, 4/30 | 8.1 Introduction to the Laplace Transform | 7.4 Regular Singular Points Euler Equations | 344-346 | p.347: 1-12 | 12-Trench-EulerEquations | ||||||||||||||
30 | 25 | Thursday, 5/2 | Third Examination | 8.1 Introduction to the Laplace Transform | 394-402 | p.403: 1(a,b,d,e), 2(b,c,f,g,h,i), 4, 5, 18 | 13-LaplaceTransforms-NoPiecewise | ||||||||||||||
31 | 26 | Tuesday, 5/7 | 8.2 The Inverse Laplace Transform [NOTE: use the table on p.463 of the textbook to do the homework] | 8.2 The Inverse Laplace Transform [NOTE: use the table on p.463 of the textbook to do the homework] | 405-412 | p.412: 1(a,b,d,e), 2(a-e), 3(a-d), 4(a,d,e), 6(a), 7(a), 8(a,d) | 14-InverseLaplaceTransforms | ||||||||||||||
32 | 27 | Thursday, 5/9 | 8.3 Solution of Initial Value Problems [NOTE: use the table on p.463 of the textbook to do the homework] | 8.3 Solution of Initial Value Problems [NOTE: use the table on p.463 of the textbook to do the homework] | 414-419 | p.419: 1-31 odd | 16-LaplaceIVP | ||||||||||||||
33 | 28 | Tuesday, 5/14 | 8.6 Convolutions [NOTE: use the table on p.463 of the textbook to do the homework] | 8.6 Convolutions [NOTE: use the table on p.463 of the textbook to do the homework] | 441-445 | p.450: 2(a,b,c,i,j,l,n), 3(a-c,e-g) | TBD | ||||||||||||||
34 | 29 | Thursday, 5/16 | Review | ||||||||||||||||||
35 | 30 | Tuesday, 5/21 | Final Examination | ||||||||||||||||||
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