Engineering Differential Equations
92.236 section 203
Fall 2009
Engineering Differential Equations 92.236 section 203 Fall 2009 |
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| HOME | SYLLABUS | SCHEDULE | MATERIALS | LINKS |
Date |
Topic |
Reading |
Assignment |
| 9/2 |
Differential equations and mathematical models | 1.1 | p. 8 #1, 4, 5, 10, 17, 20, 23, 34, 35 (No need to draw graphs for #
17, 20, 23) Due 9/11 |
| 9/3 |
No MATLAB session |
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| 9/4 |
Differential equations and
mathematical models (cont.) |
1.1 |
p. 8 #1, 4, 5, 10, 17, 20, 23, 34, 35 (No need to draw graphs for # 17, 20, 23) Due 9/11 |
| 9/7 | Labor Day - University closed | ||
| 9/9 | Integrals as general and particular solutions | 1.2 | p.16 #1, 5, 7, 8, 13, 25, 26, 31, 35 Due 9/14 |
| 9/10 |
MATLAB session on graphing | ||
| 9/11, 14 |
Separable equations and applications |
1.4 |
p.41 #1, 7, 10, 13, 19, 23, 26, 33, 37, 40, 43 Due 9/18 |
| 9/16 |
First-order linear equations |
1.5 |
p. 54 # 1, 4, 9, 13, 15, 27, 34, 37; p. 76 # 1, 5, 13 Please turn in both parts of the assignment at the same time. Due 9/28 |
| 9/17 |
MATLAB session on symbolic utilities | ||
| 9/18 |
First-order linear equations |
1.5 |
p. 54 # 1, 4, 9, 13, 15, 27, 34, 37; p. 76 # 1, 5, 13 Please turn in both parts of the assignment at the same time. Due 9/28 |
| 9/21 |
Homogeneous and exact equations | 1.6 | p.71 #2, 9, 10, 31, 35 p.76 #3, 7, 17 Please turn in both parts of the assignment at the same time. Due 10/5 |
| 9/23 |
Exam #1 on sections 1.1, 1.2, 1.4, 1.5 |
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| 9/24 | MATLAB session on take-home part of Exam 1 | |
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| 9/25 | Class canceled | ||
| 9/28, 30 | Homogeneous and exact equations (continued) | 1.6 | p.71 #2, 9, 10, 31, 35 p.76 #3, 7, 17 Please turn in both parts of the assignment at the same time. Due 10/5 |
| 10/1 | MATLAB session on numerical methods | |
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| 10/2, 5 |
Euler's method and the Runge-Kutta method |
2.4, 2.6 |
2.4: Problem on
class handout
2.6: Problem on
class handout |
| 10/5 | Slope fields and solution curves | 1.3 | p. 26 #1, 2, 7, 9 Use Polking's MATLAB utility
dfield6 Due 10/16 |
| 10/7 |
Equilibrium solutions and stability | 2.2 |
p.96 #1, 3, 6, 8, 9, 11, 21 In 1-11 do not solve for x(t) explicitly. Find lim x(t) assuming x(0)=1. Due 10/14 |
| 10/8 | MATLAB session on loglog plots for project | ||
| 10/9 |
Project reports due. Population models |
2.1 | p.86 #10, 11, 13, 21, 30 Hint for #21: See (7) p. 80; units of P are millions of people. Due 10/19 |
| 10/12 |
Columbus Day - University closed | ||
| 10/14 | Acceleration-velocity models |
2.3 |
p. 106 # 1, 2, 3, 7, 12 Due 10/21 |
| 10/15 |
MATLAB session on slope fields |
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| 10/16 | Introduction: Second-order linear equations General solutions of linear equations |
3.1 3.2 |
p.155 #3, 9, 33-41 odd;
p.167 #21, 23 Please turn in both
parts of this assignment at the same time. |
| 10/19 | Advising for spring registration starts | ||
| 10/19, 21 |
Homogeneous equations w. constant coefficients | 3.3 |
p.180 #1-15 odd, 25, 27, 29 Due 10/30 |
| 10/22 |
MATLAB session on take-home part of Exam #2 | |
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| 10/23 | Nonhomogeneous equations | 3.5 | p. 207 #1, 3, 7, 9, 24, 27, 47,
52, 58 Due 11/4 |
| 10/26 | Nonhomogeneous equations |
3.5 |
p. 207 #1, 3, 7, 9, 24, 27, 47,
52, 58 Due 11/4 |
| 10/28 |
Exam # 2 on sections 1.3, 1.6, 2.1 - 2.4, 2.6, 3.1, 3.2 | ||
| 10/29 |
MATLAB session on phase planes |
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| 10/30 | Advising period
ends Nonhomogeneous equations |
3.5 |
p. 207 #1, 3, 7, 9, 24, 27, 47,
52, 58 Due 11/4 |
| 11/2, 4 |
Mechanical vibrations |
3.4 | p.192 #1, 4, 15, 20, 34 For # 15 and 20 do not find u(t) and do not draw graphs. Due 11/13 |
| 11/5 | MATLAB session on damped response of mass-spring systems | ||
| 11/6, 9 |
Forced Oscillations and Resonance |
3.6 |
p.218 #1, 8, 11, 17, 19. Do not
draw graphs for #1, 8, or 11. For # 17 see (21) on p. 216 Due 11/16 |
| 11/11 | Veterans Day - University closed | ||
| 11/12 | MATLAB session on numerical methods for systems | ||
| 11/13 | Optional
revised project reports due. Last day to drop a course Electrical Circuits |
3.7 |
p.228 # 7, 11, 17, 23 |
| 11/16 |
First-order systems and
applications
Numerical methods for systems |
4.1
4.3 |
p.251 #1, 5, 7, 11, 14, 24, 26 Due 11/25 Problem on
class handout |
| 11/18 | Laplace transforms and inverse transforms | 7.1 | p.444 #1,7,11-15odd,23-31odd Due 11/30 |
| 11/19 | MATLAB session on take-home part of exam 3 | |
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| 11/20 | Exam # 3 on sections 3.3 - 3.7 | ||
| 11/23 |
Laplace transforms and inverse
transforms (continued) |
7.1 | p.444 #1,7,11-15odd,23-31odd Due 11/30 |
| 11/25 | Translation and partial fractions | 7.3 | p.465 #1-15 odd. Use any
method you like
to solve the problems -- you need not follow the directions. Due 12/2 |
| 11/26,
27 |
Thanksgiving
Holiday - University closed |
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| 11/30 | Transformation of initial value problems | 7.2 | p.455 #1-11 odd Due 12/4 |
| 12/2 |
Products of Transforms | 7.4 |
p. 474 # 1, 6, 7, 8, 37 Optional. Due 12/14 (No extensions) |
| 12/3 |
MATLAB session on Laplace transforms | ||
| 12/4 |
Periodic and piecewise continuous input functions |
7.5 |
p. 484 # 1, 5, 9, 13, 17, 33. Do not draw graphs. Optional. Due 12/14 (No extensions) |
| 12/7 |
Impulses and delta functions |
7.6 |
p. 495 # 1, 7, 15. Do not draw graphs. Optional. Due 12/14 (No extensions) |
| 12/9 |
Review and catch-up day | ||
| 12/10 |
No MATLAB session | |
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| 12/11, 14 |
Review and catch-up days |
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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.