# Differential Equations : Math 2410,  Fall 2410

There will be bi-weekly quizzes (25% for all of them),  2 exams (each 20%) and the final (35%).
Quizzes and exams are scheduled on Tuesday (unless it happens to be a snow day).
Quiz dates: 9/12, 9/26, 10/24, 11/7
1st Exam: 10/10
2nd Exam: 11/30 (This is Thursday!)

Homework will not be collected.
Roughly, quizzes last for around 25-30 minutes. Exam should run for the whole 75 minutes.

#### The exact outline will be updated as we go along. The homework exercise in red will be changed later.

 Week Section Topic Exercises Lecture date Coming quiz/exam date 1 1.1 Modeling 8/29, 9/1 p.14: 2,3, 4, 5, 6, 7, 11, 21, 23 2 1.2 Separation of variables 9/1, 9/5 p.33: 1, 3, 7, 9, 11, 17, 28, 31, 34, 39, 41 1.3 Slope fields 9/5 p.47: 1, 5, 7, 8, 11, 12, 13, 15, 16, 18 1.4 Euler's method 9/7 p. 61: 2, 5, 6, 11, 14 3 1.5 Existence/Uniqueness 9/7, 9/12 p. 71: 1, 4, 9, 11, 13, 17 Quiz on 9/12: Up to and including section 1.4 1.6 The phase line 9/12: quiz 9/14 p. 89: 1, 3, 5, 7, 13, 15, 20, 22, 23, 29,           32, 33, 35, 39, 43 4 1.7 Bifurcations 9/14, 9/19 p. 106: 1, 3, 5, 7, 9, 17 1.8 Linear equations 9/19, 9/21 p. 121: 1, 3, 8, 9, 12, 19, 24 5 1.9 Integrating factor 9/21, 9/26 p.133: 1, 5, 7, 10, 24 Quiz on 9/26: Section 1.5 to 1.8. 2.1 Modeling via systems 9/26: quiz 9/28 p. 161: 1, 2, 3, 4, 7, 16, 20 2.2 Geometry of systems 9/28 p.178: 1, 3, 4, 7, 10, 12, 21, 27 6 2.4 Special systems 10/3 p.189: 1, 3, 13a, b, c 2.5 Euler's method for systems 10/3 p.202: 3, 5 2.6 Existence/Uniqueness for systems 10/5 p.208: 3, 4, 5, 7, 8 1st Exam on 10/10 7 Exam 1 10/10 3.1 Linear Systems 10/12 p.258: 5, 8, 11, 14, 17, 18, 24, 27, 29 8 3.2 Straight Line Solutions 10/17, 10/19 p. 277: 1, 4, 5, 7, 11b, 13b, 21 3.3 Real eigenvalues 10/19 p. 293:1, 4, 7, 9,11, 13, 19, 21 9 3.4 Complex Eigenvalues 10/19, 10/24, 10/26 p. 310: 1, 2, 3, 5, 9, 11, 15, 17, 19 (optional),             22, 23 Quiz on 10/24: Section 3.1 to 3.3 3.5 Repeated and zero eigenvalues 10/26 p.327: 1, 3, 5, 7, 11, 19, 22a 10 3.6 Second order linear equations 10/26, 10/31 p. 342: 1, 2, 4, 8, 9, 13, 15, 21, 23 4.1 Forced harmonic oscillators 11/2 p. 399: 1, 3, 7, 9, 13, 17, 21, 27, 31, 33,  36, 37 11 4.2 Sinusoidal Forcing 11/2, 11/7 p. 412: 1, 6, 9, 13, 15, 16, 19 Quiz on 11/7: Section 3.4 to 3.6 4.3 Resonance 11/9 p. 424: 1, 5, 9, 13 12 6.1 Laplace Transforms 11/9, 11/14 p. 577: 1, 3, 6, 7, 11, 13, 15, 17, 25 6.2 Discontinuous Functions 11/16 p. 585: 1, 3, 5,7, 9, 13, 15 11/19 to 11/25 Thanksgiving break review 11/28 Exam 2 11/30 6.3 Second order equations 12/5 p.600: 3, 5, 11, 15, 19, 21, 27, 29 some comment on final exam 12/7 Final Exam 6.4 Delta function and impulse forcing p.602: 3, 5