Diff Eqns
92.236
Diff Eqns 92.236 |
|
| HOME | SYLLABUS | STUDENTS | SCHEDULE | MATERIALS | FORUM | LINKS |
The Final Exam (92.236 day class) will be celebrated on a day chosen by the registrar
The weekly coverage and exam schedule for the evening DE students (92.234) is listed at the end of this chart.
Date |
Topic |
Reading |
Assignment |
| 1/26 | Differential equations and mathematical models | 1.1 | p. 8 #1, 4, 5, 10, 17, 20, 23, 34, 35 |
| 1/27 | Model Sandcastle disintegration by waves. | Travel brochure | Book tickets to Ft. Lauderdale for Spring Break |
| 1/28 | Integrals as general and particular solutions | 1.2 | p.17 #1, 5, 7, 8, 13, 25, 26, 31, 35 |
| 1/29& 1/30 | Separable equations and applications | 1.4 | p.43 #1, 7, 10, 13, 19, 23, 26, 33, 37, 40, 43 |
| 2/5 | Modeling with ODE Architect | Chapter 1 ODEA | Exploration 1.1 (due the next Thursday, as are all labs) |
| 2/2& 2/4 | First-order linear equations | 1.5 | p. 56 # 1, 4, 9, 12, 13, 15, 27, 33, 34, 37 p. 78 # 1, 5, 13 |
| 2/6& 2/9 | Substitution methods and exact equations | 1.6 | p.74 #1, 5, 10, 31, 35 p.78 #3, 7, 17 |
| 2/12 | Solving a differential equation | ODEA Chapt 2 | Exploration 2.1 problems 1 and 2: Constants of integration |
| 2/11 | Slope fields and solution curves | 1.3 | p.27 #1, 2, 7, 9 Photocopy the slope fields and draw sketches on these. |
| 2/13& 2/17 | Numerical approximation: Euler's method | 2.4 | p.121 #5, 17 |
| 2/19 | Some cool ODE's (A dead body) | ODEA Chapt 3 | Exploration 3.1 , Problem 2 |
| 2/18 | Extended Euler's method | 2.5 | |
| 2/20 | The Runge-Kutta method | 2.6 | no hmwk p.142 #5, 17 |
| 2/23(Mon) | Exam #1 on sections 1.1, 1.2, 1.4, 1.5,1.6, 1.3 | ||
| 2/25 | Equilibrium solutions and stability | 2.2 | p.98 #1, 3, 6, 8, 9, 11, 13, 14, 21. In 1-11 do not solve for x(t) explicitly. Find lim x(t) as t goes to infinity, assuming x(0)=4. |
| 2/26 | Slope fields | ODEA Chapt 2 | Exploration 2.2, Prob 1 and 2. |
| 2/27 | Population models | 2.1 | p.87 #10, 11, 13, 22, 27 |
| 3/2 | Acceleration Velocity models | 2.3 | p.108 #1,2,3,7,10 |
| 3/5 | Logistic Model | ODEA Chapt 9 155-158 | Exploration 9.1 , Prob. 1,2,3 |
| 3/4 | Introduction: Second-order linear equations General solutions of linear equations |
3.1 3.2 |
p.158 #3, 9, 33-41 odd p.170 # 1, 3, 13, 15 |
| 3/6& 3/9 | General solutions of linear equations Homogeneous equations w. constant coefficients |
3.2 3.3 |
p.171 #21, 23
p.183 #1-15 odd, 25, 27, 29 |
| 3/12 | Harvesting a natural resource | ODEA Chapt 9 155-158 | Exploration 9.2 , Prob 1,2,3 |
| 3/11& 3/13 | Nonhomogeneous equations | 3.5 | p. 210 #1,3,7,9,10,24, 27, 31, 34, 47, 49, 52 |
| 3/23 & 3/25 | Mechanical vibrations | 3.4 | p.195 #1, 3, 4, 15, 17, 20 |
| 3/26 | Forced oscillations and resonance | 3.6 | p.222 #1, 8, 11, 17, 19 |
| 3/27 (in EB321) | Response to the forcing frequency (deferred to next week 4/3, when we will have developed the theory) | ODEA Chapter 4 | Exploration 4.2 ; Prob 1,2,3 |
| 4/1(Wed) | Exam # 2 on sections 1.6, 2.1-2.4, 3.1, 3.2,3.3 | ||
| 4/2 | Electrical Circuits | 3.7 | p.231 #1,5,7,11 |
| 4/3 (in EB321) | First-order systems and applications | 4.1 | p.255 #1, 5, 7, 11, 14, 24, 26 |
| 4/6 | Method of Elimination | 4.2 | p. 266 #1-5(odd), 9, 23-27 (odd) |
| 4/8 & 4/9 | Laplace transforms and inverse transforms | 7.1 | p.450 #1, 7, 11-15 odd, 23-31 odd |
| 4/10 (in EB321) | Tracking Pollution | ODEA Chap 8 (135-137) | Exploration 8.1, Prob 1,2,3 |
| 4/13 & 4/15 | Transformation of initial value problems | 7.2 | p.462 #1-11 ( odd) |
| 4/17 (in EB321) | First order linear systems (Interconnected Water Tanks) | ODEA Chap 6 (93-96) | Exploration 6.3 1,2,3 |
| 4/16 & 4/22 | Translation and partial fractions | 7.3 | p.472 #1-15 odd, 27, 29, 31.
|
| 4/27 (Mon) | Exam # 3 on sections 3.1 - 3.7,4.1, 4.2, 7.1, 7.2 | ||
| 4/29 & 4/30 | Products of transforms | 7.4 | p. 481 # 1, 6,7,8,37 |
| 5/1 (in EB321) | Compartment models (DE's, Drugs and GI tracts (no rock and roll)) | ODEA Chap 8 (137-139) | Exploration 8.2 () 1,2 |
| 5/4 & 5/6 | Periodic and piecewise continuous input functions | 7.5 | p. 491 # 1, 5, 9, 13, 17, 31, 33 |
| 5/7 & 5/8 (in EB321) | Impulses and delta functions | 7.6 | p. 502 # 1, 7,15 |
| May 15, 8:00am | Final Exam in Ball 210 | All chapters covered |
(Approximate Weekly) Evening Class (92.234) Schedule and Coverage
9/8: 1.1, 1.2, 1.4
9/15 1.4, 1.5
9/22: 1.6, 1.3
9/29: 2.4, 2.2
10/6: Exam 1, 2.1
10/13 Columbus day - no class - we meet on Wednesday which is Monday schedule
10/15: (Monday schedule) 2.3, 3.1, 3.2
10/20: 3.3, 3.5
10/27: 3.4, 3.6
11/3: Exam 2, 4.1 (Exam 2 will include material from weeks 1-8)
11/10: 4.2, 7.1
11/17: 7.2, 7.3
11/24: Exam 3, 7.4
12/1: 7.5
12/8: Final Exam
| © 2000 University of Massachusetts Lowell, Class Connections |
Graphics & Design by: Thomas Pimental & Michelle Christman In Association with: CLASS Connections |