| Date | Topic | Text Section | Assignment | |
| 9/6 | 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 9/13) | |
| 9/7 | MATLAB session on graphing | |||
| 9/8 | 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 9/13) | |
| 9/11 | Integrals as general and particular solutions | 1.2 | p. 15 # 1, 5, 7, 8, 13, 25, 26, 31, 35 (Due 9/15) | |
| 9/13 | Separable equations and applications | 1.4 | p. 40 # 1,7,10,13,19,23,26,33,37,40,43 (Due 9/20) | |
| 9/14 | MATLAB session on graphing | |||
| 9/15 | Separable equations and applications | 1.4 | p. 40 # 1,7,10,13,19,23,26,33,37,40,43 (Due 9/20) | |
| 9/18 | 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 9/27) | |
| 9/20 | 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 9/27) | |
| 9/21 | MATLAB session on take-home part of Exam 1 (Due 9/29) | |||
| 9/22 | 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 10/2) | |
| 9/25 | Exam #1 on sections 1.1, 1.2, 1.4, 1.5 | |||
| 9/27 | 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 10/2) | |
| 9/28 | MATLAB session on numerical methods | 2.4 & 2.6 | HW problem for section 2.4 & HW problem for section 2.6 | |
| 9/29 | Euler's method | 2.4 | Problem on class handout (Due 10/6) | |
| 10/2 | The Runge-Kutta method | 2.6 | Problem on class handout (Due 10/6) | |
| 10/4 | Slope fields and solution curves | 1.3 | p. 27 # 1, 2, 7. Use the MATLAB utility dirfield (Due 10/11) | |
| 10/5 | MATLAB session on slope fields | 1.3 | p. 27 # 1, 2, 7. Use the MATLAB utility dirfield (Due 10/11) | |
| 10/6 | 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 10/13) | |
| 10/9 | Columbus Day - University closed | |||
| 10/11 | 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 10/16) | |
| 10/12 | MATLAB session on additional graphing commands | |||
| 10/13 | Acceleration-velocity models | 2.3 | p. 100 # 1, 2, 3, 7, 12. (Due 10/25) | |
| 10/16 | 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 10/27) | |
| 10/18 | Homogeneous equations with constant coefficients | 3.3 | p. 170 # 1-15 odd, 25, 27, 29. (Due 10/30) | |
| 10/19 | MATLAB session on take-home part of Exam 2 (Due 10/30) | |||
| 10/20 | Nonhomogeneous equations | 3.5 | p. 195 # 1, 3, 7, 9, 24, 27, 47, 52, 58. (Due 11/1) | |
| 10/23 | Spring semester advising period starts Exam #2 on sections 1.6, 2.1 - 2.3, 3.1, 3.2 |
|||
| 10/25 | Nonhomogeneous equations | 3.5 | p. 195 # 1, 3, 7, 9, 24, 27, 47, 52, 58. (Due 11/1) | |
| 10/26 | No MATLAB session | |||
| 10/27 | Project reports due Nonhomogeneous equations |
3.5 | p. 195 # 1, 3, 7, 9, 24, 27, 47, 52, 58. (Due 11/1) | |
| 10/30 | University closed due to weather | |||
| 11/1 | 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 11/8) | |
| 11/2 | MATLAB session on phase planes | Optional - due 11/10 | ||
| 11/3 | 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 11/8) | |
| 11/6 | Advising period ends 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 11/10) | |
| 11/8 | 3.7 | p. 215 # 7, 11, 17, 23. (Due 11/17) | ||
| 11/9 | MATLAB session on numerical methods for systems | 4.3 | Problem on class handout (Due 11/20) | |
| 11/10 | 4.1 | p. 235 # 1, 9, 11, 17, 23, 30, 32. Do not draw direction field or curves for #11 or 14. (Due 11/20) | ||
| 11/13 | First-order systems and applications Numerical methods for systems |
4.1 4.3 |
p. 235 # 1, 9, 11, 17, 23, 30, 32. Do not draw direction field or curves for #11 or 14. (Due 11/20) Problem on class handout (Due 11/20) |
|
| 11/15 | Last Day to Drop a Course Exam #3 on sections 3.3 - 3.7 |
|||
| 11/16 | MATLAB session on take-home part of Exam 3 | |||
| 11/17 | Laplace transforms and inverse transforms | 7.1 | p. 445 # 1, 7, 11-15 odd, 23-31 odd. (Due 11/29) | |
| 11/20 | Optional project revisions due Laplace transforms and inverse transforms |
7.1 | p. 445 # 1, 7, 11-15 odd, 23-31 odd. (Due 11/29) | |
| 11/22 | Thanksgiving Holiday - University closed | |||
| 11/23 | Thanksgiving Holiday - University closed | |||
| 11/24 | Thanksgiving Holiday - University closed | |||
| 11/27 | 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 12/1) | |
| 11/29 | 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 12/1) | |
| 11/30 | Optional MATLAB session on Laplace transforms | |||
| 12/1 | Transformation of initial value problems | 7.2 | p. 456 # 1, 3, 5, 7, 9, 10. (Due 12/8) | |
| 12/4 | Transformation of initial value problems | 7.2 | p. 456 # 1, 3, 5, 7, 9, 10. (Due 12/8) | |
| 12/6 | Derivatives, integrals, and products of transforms | 7.4 | p. 473 # 1, 6, 7, 8, 37. (Optional assignment. Due 12/13 - no grace period) | |
| 12/7 | No MATLAB session | |||
| 12/8 | Periodic and piecewise continuous input functions | 7.5 | p. 482 # 1, 5, 9, 13, 17, 33. Do not draw graphs. (Optional assignment. Due 12/13 - no grace period) | |
| 12/11 | Impulses and delta functions | 7.6 | p. 492 # 1, 7, 15. Do not draw graphs. (Optional assignment. Due 12/13 - no grace period) | |
| 12/13 | Catch-up/review day | |||
| 12/14 | Reading Day |