This is our tentative weekly schedule and it will be updated as we advance in the semester, please check regularly. Students are expected to attend class regularly and to keep up with the material presented in the lecture and the assigned reading. As a general rule, the written homework assignment is due Fridays (for example, HW1 is due Friday, Sept 9, Week 2), unless otherwise stated.
| Week | Lectures (Assigned Reading) | Assignments |
| Week 1 8/29 - 9/4 |
1.1: Differential equations and math models 1.2: Integrals as general and particular solutions 1.4: Separable differential equations |
1.1: 26, 48
1.2: 8, 10, 44 1.4: 18, 28, 32, 36, 37, 39 |
| Week 2 9/5 - 9/11 |
No class on Sept 5 (Labor Day) 1.5: Linear first order differential equations 1.3: Slope fields and solutions curves |
1.3: 11, 14, 18, 27, 29, 30 1.5: 1, 6, 16, 19, 27, 38 |
| Week 3 9/12 - 9/18 |
1.3: Local Existence and Uniqueness of Solutions Intro: Diff Eq and Phase Portraits in Mathematica (.nb) 1.6: Substitution Methods and Exact Equations |
1.6: 8, 11, 21, 27, 29, 44 1.6: 47, 57, 58, Mathematica |
| Week 4 9/19 - 9/25 |
1.6: Substitution Methods and Exact Equations
(exact.pdf)
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due Monday, Oct 3 1.6: 33, 37, 38 2.1: 13, 23, 33 2.2: 8, 9 2.6: 25, 27 from exact.pdf |
| Week 5 9/26 - 10/2 |
2.1: Population models 2.2: Equilibrium solutions and stability 2.3: Acceleration-Velocity models |
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| Midterm 1 – Wednesday, October 5, 12 - 12:53pm, in class;
Midterm I Solutions
covers Chapter 1 and Sections 2.1 and 2.2 Practice Problems (Spring 2013) with Solutions |
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| Week 6 10/3 - 10/9 |
2.4: Numerical approximation: Euler's Method 3.1: Second order eq. with constant coeff. (see also 3.3) |
2.2: 19, 22 2.4: 1, 27 3.1: 39, 51, 52, 56 3.3: 9, 21, 23 |
| Week 7 10/10 - 10/16 |
3.1: Second order linear equations 3.2: Nth-order linear equations 3.3: Nth-order equations with constant coefficients |
3.1: 19, 29, 30, 32, 3.2: 28, 35, 36, 38, 43 3.3: 12, 15, 20 |
| Week 8 10/17 - 10/23 |
3.4: Mechanical vibrations 3.5: Nonhomogeneous eq. and undetermined coefficients |
3.4: 3, 14, 15 3.5: 5, 19, 21, 22, 34 Additional Exercises |
| Week 9 10/24 - 10/30 |
3.6: Forced Oscillations and Resonance 3.8: Endpoint Problems and Eigenvalues |
3.6: 1, 8, 11, 26, 27 3.8: 3, 6, 7, 13, 16 |
| Week 10 10/31 - 11/6 |
4.1: First Order Systems & The Elimination Method in 4.2 5.1: Matrices and Linear Systems 5.2: The Eigenvalue Method for Homogeneous Systems |
4.1: 19 5.1: 3, 23 4.2: 2 5.2: 1, 6, 17, 19 |
| Week 11 11/7 - 11/13 |
4.1: Fundamental Set of Solutions 5.5: The Eigenvalue Method: Repeated Eigenvalues |
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Midterm 2 – Wednesday, November 16, 12 - 12:55pm, in class
Midterm II Solutions
covers Sections 2.2, 2.4, Chapter 3, and Sections 4.1, 4.2, 5.1, 5.2 Practice Problems I with Solutions Practice Problems II with Solutions |
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| Week 12 11/14 - 11/20 |
Review on Monday 5.5: Repeated Eigenvalues |
TBA,
due Friday, Dec 2 5.5: 13, 16, 20, 33 5.6: 23, 25, 34, 35 Additional Exercises |
| Week 13 11/21 - 11/27 |
5.6: Matrix Exponentials and Linear Systems Thanksgiving Break! |
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| Week 14 11/28 - 12/4 |
5.6: Matrix Exponentials and Linear Systems 5.7: Nonhomogeneous Systems; Variation of Parameters Jordan canonical forms Lecture Notes! Mathematica Tutorial! |
Read the Lecture Notes attached and the Mathematica Tutorial! 5.7: 24, 31 Instructions 6.2: 1, 3, 10, 13, 15, 29, 33 |
| Week 15 12/5 - 12/11 |
6.1: Stability and the Phase Plane 6.2: Linear and Almost Linear Systems |
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| Final exam – Thursday, December 15, 5:30 - 8pm, in Harriman Hall 137 the final covers everything! Practice Final (2013) with Solutions Review Session on Monday, December 12, 11am - 1pm, in Javits 111 |
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