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| text; Zill with Modeling syllabus 92236 | |||||||||
| Section | Topic | Page | Homework Assignment | ||||||
| 1.1 | Definition and terminology | 10 | 1-13odd | ||||||
| 1.2 | Initial Value Problem | 19 | 1,3-5,7-11119odd,21-25 | ||||||
| 1.3 | Diff Eqns as Mathematical Models | 31 | 1,5,7,9,15,17 | ||||||
| 2.1 | Solution Curves without solution | 47 | 1,3,5,7,15-25odd | ||||||
| 2.2 | Separable Variables | 57 | 1--29odd | ||||||
| 2.3 | Linear Equations | 69 | 1-29odd | ||||||
| 2.4 | Exact equations | 78 | 1-11odd,21,23,25 | ||||||
| 2.5 | Solutions by Substitution | 84 | 1,5,9-15odd,23,25 | ||||||
| 3.1 | modeling with linear equations | 103 | 1,3,5,7,11,13,17,119,21,29 | ||||||
| 3.2 | modeling with nonlinear equations | 105 | 1,3,9,13 | ||||||
| \ | |||||||||
| 4,1,1 | Initial Value and Boundary Value Problems | 151 | 1-11odd | ||||||
| 4.1.2 | Homogeneous Equations | 152 | 15-29odd | ||||||
| 4.1.3 | NonHomogeneous equations | 153 | 311,33,35 | ||||||
| 4.2 | Reduction of Order | 157 | 1,3,557,13,15 | ||||||
| 4.3 | Homog.Linear with constant coefficients | 163 | 1-13odd,19,23,25,31,33,35 | ||||||
| 4.4 | undetermined coefficients | 176 | 1-13odd,17,21,25,31,33 | ||||||
| 4.6 | variation of parameters | 192 | 1,5,9,13,19,21 | ||||||
| 4.7 | Cauchy Euler equations | 199 | 1-13odd | ||||||
| 4.8 | Solving systems of eqns with elimination | 205 | 1,3,5,7 | ||||||
| 4.9 | Nonlinear Equations | 211 | 1,3,5,7 | ||||||
| \\ | |||||||||
| 5.1.1 | Free undamped motion | 229 | 1-11 odd | ||||||
| 5.1.2 | Free damped motion | 231 | 17-27odd | ||||||
| 5.1.3 | Driven motion | 233 | 29-35odd | ||||||
| 5.1.4 | Series circuit Analogue | 236 | 45,47,49,51 | ||||||
| 7.1 | Definition of LaPLACE Transform | 312 | 1-35odd | ||||||
| 7.2 | Inverse Transform and Derivatives | 322 | 1,3,7,11,15,19,23,27,35,37,39 | ||||||
| 7.3.1 | Translation on the s-Axis | 333 | 1-19odd,23,27 | ||||||
| 7.3.2 | Translation on the t-Axis | 335 | 37-47odd,55,59,63,65 | ||||||
| 7.4 | Additionaal Operational Properties | 347 | 1,5,9,13,17,27,29 | ||||||
| 7.5 | Dirac Delta Function | 354 | 1,5,9,13 | ||||||
| 7.6 | systems of linear equations | 358 | 1,5,9 | ||||||
| 9.1 | Euler methods and error analysis | 415 | 1,5,7 | ||||||
| 9.2 | Runge-Kutta methods | 421 | 1,5,9 | ||||||
| \\\ | |||||||||
Copyright ©1998 Beverly J. Volicer and Steven F. Tello, UMass Lowell. You may freely edit these pages for use in a non-profit, educational setting. Please include this copyright notice on all pages.