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 Lecture date
Exercises 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, 12/7
p.593: 3, 5, 6, 11, 15, 19, 20, 21, 27, 29


some comment on final exam
12/7




Final Exam










6.4
Delta function and impulse forcing

p.602: 3, 5