| MONTH WEEK | DAY | Topic, Event | Section; Practice Problems | Assigned Problems | ||||
|---|---|---|---|---|---|---|---|---|
| January | ||||||||
| Chapter 2: First Order Equations | ||||||||
| WEEK 1 | 10-14 January | |||||||
| Mon 10 | Course Introduction; Differential Equations and Solutions | Chapter 1 §1.3 #3,5,7,13,21,27 §2.1 #8,12,16,18 | §2.1 #14,20 | |||||
| Tue 11 | Solutions to Separable Equations | §2.2 #3,9,13,17,27,39 | §2.2 #8,16 | |||||
| Thu 13 | Models of Motion | §2.3 #3,6,11,12 | §2.3 #8,14 | |||||
| Fri 16 | Linear Equations Quiz 1 (Pencil & Paper) Thru §2.2 | §2.4 #3,9,13,15,21,23,29,33,39 | §2.4 #10,20,26,32 | |||||
| WEEK 2 | 17-21 January | |||||||
| Mon 17 | Martin Luther King Day Holiday No class meeting | |||||||
| Tue 18 | Linear Equations (continued) | |||||||
| Thu 20 | Mixing Problems First Project Assignment: The Burning Lens Directions: [PostScript] [Acrobat] General Project Guidelines Team Assignments | §2.5 #1,2,3(a),9-11 | §2.5 #4,8,14 | |||||
| Fri 21 | Exact Differential Equations Quiz 2 Thru §2.4 | §2.6 #5,6,11,13,15,17,23,33,35 | §2.6 #10,24,38 | |||||
| WEEK 3 | 24-28 January | |||||||
| Mon 24 | Existence and Uniqueness of Solutions Dependence of Solutions on Initial Conditions | §2.7 #5,6,9,27 §2.8 #1,17 | §2.7 #28 §2.8 #16 | |||||
| Tue 25 | Autonomous Equations and Stability | §2.9 #3,5,7,9,17,19,23,25,27,31 | §2.9 #4,20,26,28 | |||||
| Chapter 4: Second Order Equations | ||||||||
| Thu 27 | Second Order Equations: Examples Solution to Problem 1 on Burning Lens Project Due. | §4.1 #3,7,11,14,15 | §4.1 #2,6,10,18 | |||||
| Fri 28 | Second Order Equations and Systems Linear, Homogeneous Equations with Constant Coefficients Quiz 3 Thru §2.6 | §4.2 #3,5,7, §4.3 #5,9,11,15,17,19-21,23,29,31,33 | §4.2 #6,18 §4.3 #4,10,16,22,26 | |||||
| WEEK 4 | 31 January - 4 February | |||||||
| Mon 31 | Harmonic Motion | §4.4 #7,9,11,15,21,25 | §4.4 #8,18 | |||||
| February | ||||||||
| Tue 1 | ||||||||
| Thu 3 | Inhomogeneous Equations; Method of Undetermined Coefficients Burning Lens Project Report Due. | §4.5 #1-3,5,7,8,15-17,19,23,27,29,39,41 | §4.5 #4,6,20,26,44 | |||||
| Fri 4 | Undetermined Coefficients, continued Quiz 4 Thru §4.3 | |||||||
| WEEK 5 | 7 - 11 February | |||||||
| Mon 7 | ||||||||
| Tue 8 | Variation of Parameters | §4.6 #3,5,7,13 | §4.6 #8,14 | |||||
| Thu 10 | Forced Harmonic Motion | §4.7 #1-3,13,15,17,31,43 | §4.7 #10,14,18,36 | |||||
| Chapter 5: The Laplace Transform | ||||||||
| Fri 11 | Definition of the Laplace Transform Quiz 5 Thru §4.5 | §5.1 #1-9 odd,13 | §5.1 #8,14 | |||||
| WEEK 6 | 14 - 18 February | |||||||
| Mon 14 | Basic Properties of the Laplace Transform The Inverse Laplace Transform | §5.2 #1-17 odd,21,23,27,33,37,41 §5.3 #1,5,9,13,17,21,25,29,33 | §5.2 #18,24,36,40 §5.3 #8,18,28 | |||||
| Tue 15 | Solving Differential Equations with the Laplace Transform | §5.4 #3,7,11,13,23,31,35,37 | §5.4 #10,16,24,36 | |||||
| Thu 17 | ||||||||
| Fri 18 | Discontinuous Forcing Terms Quiz 6 Thru §5.2 | §5.5 #3,13,15,17,25,27,31 | §5.5 #8,18,28,30 | |||||
| WEEK 7 | 21 - 25 February | |||||||
| Mon 21 | The Delta Function Review of Chapter 2. | §5.6 #3,7,9 | §5.6 #4,8 | |||||
| Chapter 7: Matrix Algebra | ||||||||
| Tue 22 | Vectors and Matrices Review of Chapter 4. | §7.1 #1,3,7,17,27,31,35,39,49,53 | §7.1 #16,30,54 | |||||
| Thu 24 | Review of Chapter 5. | |||||||
| Fri 25 | Midterm Exam Chapters 2, 4 and 5. My 1999 Midterm Exam: [PostScript] [Acrobat] (It did not cover Laplace transforms.) 2005 Exam, sample solutions: [PostScript] [Acrobat] | |||||||
| WEEK 8 | 28 February - 4 March | |||||||
| Mon 28 | Geometry of Linear Systems Solving Linear Systems | §7.2 #5,7 §7.3 #3,7,11,15,17 | §7.2 #6,8 §7.3 #16 | |||||
| March | ||||||||
| Tue 1 | Properties of Solution Sets Subspaces | §7.4 #3,5,9,11,15,19 | §7.4 #6,12,20 | |||||
| Chapter 8: An Introduction to Systems | ||||||||
| Thu 3 | Definitions, Examples Geometric Interpretation of Solutions Second Project Assignment: Sawtooth-Driven Oscillator Directions: [PostScript] [Acrobat] General Project Guidelines | §8.1 #5,7,11,13,19 §8.2 #5,11,13,29 | §8.1 #6,12 §8.2 #4,10 | |||||
| Fri 4 | Qualitative Analysis Quiz 7 Thru §7.3 | §8.3 #3,5,9,11 | §8.3 #2,10 | |||||
| WEEK 9 | 7 - 11 March | |||||||
| Mon 7 | Linear Systems | §8.4 #5,11,17 | §8.4 #10,12,16,18 | |||||
| Chapter 9: Linear Systems with Constant Coefficients | ||||||||
| Tue 8 | Determinants Constant-coefficient Linear Systems: Technique | §7.6 #7,9,15 §9.1 #1,5,9,13,17,21,25 | §7.6 #8 §9.1 #4,10,18 | |||||
| Thu 10 | Solution to Problems 1-2 on Sawtooth-Driven Oscillator Due. | |||||||
| Fri 11 | Quiz 8 Thru Chapter 8. | |||||||
| SPRING RECESS 14 - 18 MARCH | ||||||||
| WEEK 10 | 22 - 26 March | |||||||
| Mon 21 | Planar Systems | §9.2 #1,5,7,11,13,19,21,27,33,41,47 | §9.2 #6,12,24,30,38,44 | |||||
| Tue 22 | Phase Plane Portraits | §9.3 #1,5,9-12,17,21,25,29,33 | §9.3 #14,16,20,28,34 | |||||
| Thu 24 | Higher Dimensional Systems The Exponential of a Matrix Sawtooth-Driven Oscillator Report Due. | §9.4 #3,7,13,21,27 §9.5 #1,6,7,13,25,33,35 | §9.4 #22,28 §9.5 #16,20,26 | |||||
| Fri 25 | Qualitative Analysis of Linear Systems Quiz 9 Thru §9.2 | §9.6 #3,7,11 | §9.6 #6,10 | |||||
| WEEK 11 | 28 March - 1 April | |||||||
| Mon 28 | Higher-Order Linear Equations | §9.7 #11,15,19,23,27,31 | §9.7 #18,24,30 | |||||
| Tue 29 | Inhomogeneous Linear Systems | §9.8 #3,7,11,15,19,23,25 | §9.8 #2,6,14,20,24 | |||||
| Chapter 10: Nonlinear Systems | ||||||||
| Thu 31 | Linearization of a Nonlinear System | §10.1 #3,7,19 | §10.1 #8,18 | |||||
| April | ||||||||
| Fri 1 | Long-Term Behavior of Solutions Quiz 10 Thru §9.7 | §10.2 #3,7,11,15 | §10.2 #6,12 | |||||
| WEEK 12 | 4 - 8 April | |||||||
| Mon 4 | Nullclines and Invariant Sets | §10.3 #1,5,9,13,17 | §10.3 #2,6,10 | |||||
| Tue 5 | Long-Term Behavior in Planar Systems | §10.4 #3,5,7,11(a)-(c),23,25 | §10.4 #4,12 | |||||
| Thu 7 | Conserved Quantities | §10.5 #3,7,9,13,17,19,21,23,25 | §10.5 #2,12(i),22 | |||||
| Fri 8 | Nonlinear Mechanics Quiz 11 thru §10.3 | §10.6 #3,5,7,11,13,15,17 | §10.6 #4,12,18 | |||||
| WEEK 13 | 11 - 15 April | |||||||
| Mon 11 | Lyapunov's Method | §10.7 #3,7,11,15,17 | §10.7 #20,26 | |||||
| Tue 12 | Predator-Prey Systems | §10.8 #1,5,6 | ||||||
| Thu 14 | Third Project Assignment: Oscillations of Linear Molecules Directions: Project 9.10, pp. 539-544, Problems 1-8. General Project Guidelines Team Assignments | |||||||
| Chapter 11: Series Solutions to Differential Equations | ||||||||
| Fri 15 | Review of Power Series Quiz 12 Thru §10.6 | §11.1 #3,7,11,15,17,21,25,27,29 | §11.1 #22 | |||||
| WEEK 14 | 18 - 22 April TV Turnoff Week
| |||||||
| Mon 18 | Series solutions near ordinary points Legendre's Equation | §11.2 #1,5,9,13,17,23,25 §11.3 #5,7 | §11.2 #16 §11.3 #6 | |||||
| Tue 19 | ||||||||
| Thu 21 | ||||||||
| Fri 22 | Quiz 13 Thru §11.2 | |||||||
| WEEK 15 | 25 - 29 April | |||||||
| Mon 25 | REVIEW of Chapters 7-8 | |||||||
| Tue 26 | REVIEW of Chapter 9 | |||||||
| Thu 28 | REVIEW of Chapter 10 Oscillations of Linear Molecules Report Due. | |||||||
| Fri 29 | REVIEW of Chapter 11 Quiz 14 Thru §11.3 | |||||||
| May | ||||||||
| FINAL EXAM WEEK | 2 - 6 May | |||||||
| Wed 4 | FINAL EXAM 7-9PM, 1 Carver. Final Exam given Fall Semester, 1999: [PostScript] [Acrobat] | |||||||