| Date | Topic | Text Section | Assignment |
| 1/22 | 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 1/29) |
| 1/24 | 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 1/29) |
| 1/25 | MATLAB session on graphing | ||
| 1/26 | Integrals as general and particular solutions | 1.2 | p. 15 # 1, 5, 7, 8, 13, 25, 26, 31, 35 (Due 1/31) |
| 1/29 | Separable equations and applications | 1.4 | p. 40 # 1,7,10,13,19,23,26,33,37,40,43 (Due 2/5) |
| 1/31 | Separable equations and applications | 1.4 | p. 40 # 1,7,10,13,19,23,26,33,37,40,43 (Due 2/5) |
| 2/1 | MATLAB session on Symbolic Utilities | ||
| 2/2 | Add/Drop period ends 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 2/12) |
| 2/5 | 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 2/12) |
| 2/7 | Homogeneous 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 2/16) |
| 2/8 | Missed class because of weather | ||
| 2/9 | Exam #1 on sections 1.1, 1.2, 1.4, 1.5 | ||
| 2/12 | 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 2/16) |
| 2/14 | Euler's Method | 2.4 | Problem on class handout (Due 2/21) |
| 2/15 | MATLAB sesssion on numerical methods | 2.4 2.6 |
Problem on class handout
(Due 2/21) Problem on class handout (Due 2/21) |
| 2/16 | Runge-Kutta Method | 2.6 | Problem on class handout (Due 2/21) |
| 2/19 | President's Day - University closed | ||
| 2/20 | Monday class schedule Slope fields and solution curves |
1.3 | p. 24 # 1, 2, 7. Use the MATLAB script dirfield.m (Due 2/23) |
| 2/21 | 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 2/26) |
| 2/22 | MATLAB session on slope fields | 1.3 | p. 24 # 1, 2, 7. Use the MATLAB script dirfield.m (Due 2/23) |
| 2/23 | 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 2/28) |
| 2/26 | Acceleration-velocity models | 2.3 | p. 100 # 1, 2, 3, 7, 12. (Due 3/2) |
| 2/28 | 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 3/19) |
| 3/1 | MATLAB session on additional graphing commands | Optional, for extra homework credit. (Due 3/23) | |
| 3/2 | Homogeneous equations with constant coefficients | 3.3 | p. 170 # 1-15 odd, 25, 27, 29. (Due 3/21) |
| 3/5 | Nonhomogeneous equations | 3.5 | p. 195 # 1, 3, 7, 9, 24, 27, 47, 52, 58. (Due 3/28) |
| 3/7 | Exam #2 on sections 1.3, 1.6, 2.1 - 2.3, 3.1, 3.2 | ||
| 3/8 | University closed because of snow | ||
| 3/9 | University closed because of snow | ||
| 3/12 | Spring Break | ||
| 3/14 | Spring Break | ||
| 3/15 | Spring Break | ||
| 3/16 | Spring Break | ||
| 3/19 | Nonhomogeneous equations | 3.5 | p. 195 # 1, 3, 7, 9, 24, 27, 47, 52, 58. (Due 3/28) |
| 3/21 | Nonhomogeneous equations | 3.5 | p. 195 # 1, 3, 7, 9, 24, 27, 47, 52, 58. (Due 3/28) |
| 3/22 | MATLAB session on take-home part of Exam 2 (Due 3/30) | ||
| 3/23 | 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 3/30) |
| 3/26 | 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 3/30) |
| 3/28 | Forced oscillations and resonance | 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 4/9) |
| 3/29 | MATLAB session on numerical methods for systems | 4.3 | Problem on class handout (Due 4/11) |
| 3/30 | Electrical circuits | 3.7 | p. 215 # 7, 11, 17, 23. (Due 4/9) |
| 4/2 | Advising for fall term starts First-order systems and applications |
4.1 | p. 235 # 1, 9, 11, 17, 24, 30, 32. Do not draw dir field or curves for #17 or 24. (Due 4/11) |
| 4/4 | First-order systems and applications | 4.1 | p. 235 # 1, 9, 11, 17, 24, 30, 32. Do not draw dir field or curves for #17 or 24. (Due 4/11) |
| 4/5 | MATLAB session on take-home part of Exam 3. (Due 4/13) | ||
| 4/6 | Exam #3 on sections 3.3 - 3.7 | ||
| 4/9 | Last day to drop a course Laplace transforms |
7.1 | p. 445 # 1, 7, 11-15 odd, 23-31 odd. (Due 4/18) |
| 4/11 | Laplace transforms | 7.1 | p. 445 # 1, 7, 11-15 odd, 23-31 odd. (Due 4/18) |
| 4/12 | Optional MATLAB session on Laplace transforms | ||
| 4/13 | 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 4/23) |
| 4/16 | Patriots Day - University closed | ||
| 4/18 | 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 4/23) |
| 4/19 | MATLAB session on phase planes | Optional, for extra homework credit. (Due 4/27) | |
| 4/20 | Optional project revisions due Transformation of initial value problems |
7.2 | p. 456 # 1, 3, 5, 7, 9, 10. (Due 4/25) |
| 4/23 | Convolution | 7.4 | p. 473 # 1, 6, 7, 8, 37. (Optional assignment. Due 5/2 - no grace period.) |
| 4/25 | Periodic and piecewise continuous input functions | 7.5 | p. 482 # 1, 5, 9, 13, 17, 33. Do not draw graphs. (Optional assignment. Due 5/2 - no grace period.) |
| 4/26 | No MATLAB session | ||
| 4/27 | Impulses and delta functions | 7.6 | p. 492 # 1, 7, 15. Do not draw graphs. (Optional assignment. Due 5/2 - no grace period.) |
| 4/30 | Catch-up/Review | ||
| 5/2 | Catch-up/Review | ||
| 5/3 | No MATLAB session |