| Date | Topic | Text Section | Assignment | |
| 9/5 | 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 9/12) | |
| 9/6 | MATLAB session on graphing | |||
| 9/7 | 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 9/12) | |
| 9/10 | Integrals as general and particular solutions | 1.2 | p. 15 # 1, 5, 7, 8, 13, 25, 26, 31, 35 (Due 9/14) | |
| 9/12 | Separable equations and applications | 1.4 | p. 40 # 1,7,10,13,19,23,26,33,37,40,43 (Due 9/19) | |
| 9/13 | MATLAB session on symbolic capabilities | |||
| 9/14 | Separable equations and applications | 1.4 | p. 40 # 1,7,10,13,19,23,26,33,37,40,43 (Due 9/19) | |
| 9/17 | First-order linear equations | 1.5 | p. 53 # 1, 4, 9, 13, 15, 27, 34, 37; p. 74 # 1, 5, 13 Please turn in both parts of this assignment together. (Due 9/26) | |
| 9/19 | First-order linear equations | 1.5 | p. 53 # 1, 4, 9, 13, 15, 27, 34, 37; p. 74 # 1, 5, 13 Please turn in both parts of this assignment together. (Due 9/26) | |
| 9/20 | MATLAB session on take-home part of Exam 1 (Due 9/28) | |||
| 9/21 | Homogeneous and exact equations | 1.6 | p. 69 # 2, 9, 10, 31, 35; p. 74 # 3, 7, 17. Please turn in both parts of this assignment together. (Due 10/3) | |
| 9/24 | Exam #1 on sections 1.1, 1.2, 1.4, 1.5 | |||
| 9/26 | Homogeneous and exact equations | 1.6 | p. 69 # 2, 9, 10, 31, 35; p. 74 # 3, 7, 17. Please turn in both parts of this assignment together. (Due 10/3) | |
| 9/27 | MATLAB session on numerical methods | 2.4 & 2.6 | HW problem for section 2.4 & HW problem for section 2.6 | |
| 9/28 | Homogeneous and exact equations | 1.6 | p. 69 # 2, 9, 10, 31, 35; p. 74 # 3, 7, 17. Please turn in both parts of this assignment together. (Due 10/3) | |
| 10/1 | Euler's method | 2.4 | Problem on class handout (Due 10/5) | |
| 10/3 | The Runge-Kutta method Slope fields and solution curves |
2.6 1.3 |
Problem on class handout
(Due 10/5) p. 27 # 1, 2, 7. Use the MATLAB utility dirfield (Due 10/10) |
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| 10/4 | MATLAB session on slope fields | 1.3 | p. 27 # 1, 2, 7. Use the MATLAB utility dirfield (Due 10/10) | |
| 10/5 | Equilibrium solutions and stability | 2.2 | p. 91 # 1, 3, 6, 8, 9, 11, 21. In 1-11 draw the phase line and solution curves separately. Do not solve for x(t). Instead, find lim x(t) assuming x(0)=1. (Due 10/12) | |
| 10/8 | Columbus Day - University closed | |||
| 10/10 | Population models | 2.1 | p. 82 # 10, 11, 13, 21, 30. Hint for # 21: See equation (7) on p. 77. The units of P are millions of people. (Due 10/15) | |
| 10/11 | Monday class schedule Acceleration-velocity models |
2.3 | p. 100 # 1, 2, 3, 7, 12. (Due 10/22) | |
| 10/12 | Introduction to second-order linear de's | 3.1, 3.2 | p. 147 # 3, 9, 33-41 odd; p. 159 # 21, 23. Please turn in both parts of this assignment together. (Due 10/24) | |
| 10/15 | Homogeneous equations with constant coefficients | 3.3 | p. 170 # 1-15 odd, 25, 27, 29. (Due 10/26) | |
| 10/17 | Nonhomogeneous equations | 3.5 | p. 195 # 1, 3, 7, 9, 24, 27, 47, 52, 58. (Due 10/29) | |
| 10/18 | MATLAB session on take-home part of Exam 2 (Due 11/2) | |||
| 10/19 | Exam #2 on sections 1.6, 2.1 - 2.3, 3.1, 3.2 | |||
| 10/22 | Spring semester advising period starts Nonhomogeneous equations |
3.5 | p. 195 # 1, 3, 7, 9, 24, 27, 47, 52, 58. (Due 10/29) | |
| 10/24 | Nonhomogeneous equations | 3.5 | p. 195 # 1, 3, 7, 9, 24, 27, 47, 52, 58. (Due 10/29) | |
| 10/25 | Optional MATLAB session on additional graphing commands | |||
| 10/26 | Project reports due Mechanical vibrations |
3.4 | p. 181 # 1, 4, 15, 20, 34. For # 15 and 20 do not find u(t) and do not draw graphs. For #34 use the results of problems 32 and 33. (Due 11/2) | |
| 10/29 | Mechanical vibrations | 3.4 | p. 181 # 1, 4, 15, 20, 34. For # 15 and 20 do not find u(t) and do not draw graphs. For #34 use the results of problems 32 and 33. (Due 11/2) | |
| 10/31 | Forced Oscillations | 3.6 | p. 206 # 1, 8, 11, 17, 19. Do not draw graphs for #1, 8, or 11. For # 17 see (21) on p. 219. (Due 11/7) | |
| 11/1 | MATLAB session on phase planes | Optional - due 11/9 | ||
| 11/2 | Forced Oscillations | 3.6 | p. 206 # 1, 8, 11, 17, 19. Do not draw graphs for #1, 8, or 11. For # 17 see (21) on p. 219. (Due 11/7) | |
| 11/5 | Advising period ends Electrical circuits First order systems |
3.7 4.1 |
p. 215 # 7, 11, 17, 23. (Due 11/19) p. 235 # 1, 9, 11, 17, 23, 30, 32. Do not draw direction field or curves for #11 or 14. (Due 11/26) |
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| 11/7 | First order systems | 4.1 | p. 235 # 1, 9, 11, 17, 23, 30, 32. Do not draw direction field or curves for #11 or 14. (Due 11/26) | |
| 11/8 | MATLAB session on numerical methods for systems | 4.3 | Problem on class handout (Due 11/28) | |
| 11/9 | Numerical methods for systems of de's | 4.3 | Problem on class handout (Due 11/28) | |
| 11/12 | Veterans Day - University closed | |||
| 11/14 | Last Day to Drop a Course Laplace transforms and inverse transforms |
7.1 | p. 445 # 1, 7, 11-15 odd, 23-31 odd. (Due 11/30) | |
| 11/15 | MATLAB session on take-home part of Exam 3 | |||
| 11/16 | Exam #3 on sections 3.3 - 3.7, 4.1 | |||
| 11/19 | Laplace transforms and inverse transforms | 7.1 | p. 445 # 1, 7, 11-15 odd, 23-31 odd. (Due 11/30) | |
| 11/21 | Thanksgiving Holiday - University closed | |||
| 11/22 | Thanksgiving Holiday - University closed | |||
| 11/23 | Thanksgiving Holiday - University closed | |||
| 11/26 | Translation and partial fractions | 7.3 | p. 464 # 1-15 odd. Use any method you like to solve the problems - you need not follow the directions. (Due 12/3) | |
| 11/28 | Transformation of initial value problems | 7.2 | p. 456 # 1, 3, 5, 7, 9, 10. (Due 12/5) | |
| 11/29 | Optional MATLAB session on Laplace transforms | |||
| 11/30 | Optional project revisions due Transformation of initial value problems |
7.2 | p. 456 # 1, 3, 5, 7, 9, 10. (Due 12/5) | |
| 12/3 | Derivatives, integrals, and products of transforms | 7.4 | p. 473 # 1, 6, 7, 8, 37. (Optional assignment. Due 12/12 - no grace period) | |
| 12/5 | Periodic and piecewise continuous input functions | 7.5 | p. 482 # 1, 5, 9, 13, 17, 33. Do not draw graphs. (Optional assignment. Due 12/12 - no grace period) | |
| 12/6 | No MATLAB session | |||
| 12/7 | Impulses and delta functions | 7.6 | p. 492 # 1, 7, 15. Do not draw graphs. (Optional assignment. Due 12/12 - no grace period) | |
| 12/10 | Catch-up/review day | |||
| 12/12 | Catch-up/review day | |||
| 12/13 | No MATLAB session | |||
| 12/14 | Reading Day |