| # | Date | Topics | Homework |
|---|---|---|---|
| 0 | 01/30 (Tu) | Introduction. Equations and their solutions. Differential equations. ODE and PDE and their solutions. Order of a differential equation. | Reading: Ch. 1 |
| 1 | 02/01 (Th) | Separable ODEs. Homogeneous Equations. | Reading: Sec. 7
Assignment #1: p.49: 1(a,b,g,i), 3(a) Due Th. Feb. 8 |
| 02/06 (Tu) | Snow morning | ||
| 2 | 02/08 (Th) | Exact equations. | Reading: Sec. 8
Assignment #2: p.53-54: 1, 3, 9, 17, 22(a) Due Th. Feb. 15 |
| 3 | 02/13 (Tu) | Linear equations. Reduction of order. | Reading: Sec. 10, 11
Assignment #3: p.62: 2(a,f,g,h),
p.65: 1(g) Due Tu. Feb. 20 |
| 4 | 02/15 (Th) | Second order ODEs. General solution. Use of a known solution to find another. | Reading: Sec. 14, 15
Assignment #4: p.91: 3, 4, 6(a,b,c) Due Th. Feb. 22 |
| 5 | 02/20 (Tu) | Use of a known solution to find another. Homogeneous equations with constant coefficients. | Reading: Sec. 16, 17
Assignment #5: p.94: 3, 4, 9, p.97: 1(a), 2(b) Due Tu. Feb. 27 |
| 6 | 02/22 (Th) | The method of undetermined coefficients. Homogeneous equations with constant coefficients. | Reading: Sec. 17,18
Assignment #6: p.97: 1(e,j,r) p.103: 1(b,c,d) Due Th. Mar. 1 |
| 02/23 (Fr) | QUIZ #1 (First order ODE's. Chapter 2) | ||
| 7 | 02/27 (Tu) | The method of variation of parameters. | Reading: Sec. 19 Assignment #7: p.106: 2, 3(c), 4(a,d), 6(c) Due Tu. Mar. 6 |
| 8 | 03/01 (Th) | Applications: Mechanics; Vibrations. | Reading: Sec. 20 Assignment #8: p.113: 3,4,5,6 Due Th. Mar. 8 CANCELLED |
| 03/06 (Tu) | Snow day | ||
| 03/08 (Th) | Solving HW #8. | ||
| 03/09 (Fr) | Review for TEST #1 (Second order ODE's. Chapter 3) | ||
| 03/13 (Tu) | TEST #1 | ||
| 9 | 03/29 (Th) | Systems of first order ODEs. | Reading: Sec. 54, 55 Assignment #9: p.426: 5(a,c), 6(a,c), 7(a), 8, 9(a) Due Th. Apr. 5 |
| 10 | 04/03 (Tu) | Homogeneous linear systems with constant coefficients. | Reading: Sec. 56
Assignment #10: p.433: 1(a,b,c,d,f) Due Tu. Apr. 10 |
| 11 | 04/05 (Th) | Applications: Mathematical Modeling. Population models. Logistic model. Logistic model with harvesting. | No homework. |
| 12 | 04/10 (Tu) | Prey--predator model. Lotka--Volterra system. | Reading: Sec. 57
Assignment #11 Due Tu. Apr. 17 |
| 13 | 04/12 (Th) | Nonlinear equations and systems. Phase portrait. | Reading: Sec. 58
Assignment #12: p.446: 4(b,c,d) draw the phase portraits,
6(b), 7 Due Th. Apr. 19 |
| 14 | 04/17 (Tu) | Types of critical points. Nodes. Saddle points. Centers. Spirals (Foci). | Reading: Sec. 59
Assignment #13: p.454: 1(b,c,d), 2(a,c) Due Tu. Apr. 24 |
| 15 | 04/19 (Th) | Critical points for linear systems. | Reading: Sec. 60
Assignment #14: p.464: 1(a,c,d,f,g) Due Th. Apr. 26 |
| 04/26 (Th) |