Fall 2015: MATH 330, Ordinary Differential Equations 
Assignments:
 
Homework Assignment #1: (Due Wednesday, 9/16, in class)
 
Section 1.1: 2, 8, 10, 12, 13, 14, 15, 16, 17, 22, 23
 
(Note: when they want you to sketch the direction field, sketch just six to 10 arrows in various parts of the plane.)
 
Section 1.2: 3, 4, 8, 13, 14
 
Section 1.3: 7, 10, 12, 18, 19, 20
 
Section 2.1: 4, 8, 9 (just part c for all three), 14, 15, 17, 30, 31, 35, 36, 40, 41
 


Homework Assignment #2:
 
Due Monday, 9/28, in class.
 
Section 2.2: 4, 5, 6, 7, 8, 22, 26, 27, 29
 
Now, read Exercise 30 carefully and use the method to solve 31 and 32 (only parts a and b in both).
 
Section 2.3: 2, 3, 7, 8, 9, 10, 16, 20ab, 21ab
 
Section 2.4: 2, 3, 9, 12, 23, 25, 28, 30
 
Section 2.5: 2, 4, 12, 15a, 22
 


Homework Assignment #3:
 
Due Monday, 10/5, in class
 
Section 2.6: 3, 5, 6, 12, 13, 16, 18
 
Section 2.7: Manually solve 1ad, 4ad
 
Section 2.8: Use Picard's method to find at least the fourth approximation and then find the function to which the series will converge. Problems 3, 5
 
Section 3.1: 4, 5, 10, 11, 20, 21, 23, 24, 27
 
Use MATLAB to solve the following initial value problems and to plot the solutions:
 
2.1:4 (no direction field, assume y(1)=1), 2.2:9, 2.3:5, 2.4:18 (use three different values for y0)
 


Homework Assignment #4:
 
Due Monday, October 12, in class
 
Section 2.9 (Miscellaneous): 36, 39, 44, 45
 
Note: We will discuss the method of solving the above four problems on Wednesday.
 
I did not have enough time today because of getting too much involved with computations :( :(
 
Section 3.2: 5, 8, 13, 16, 19, 23, 25, 28, 31, 33
 
Section 3.3: 12, 15, 19, 22, 24 (use MATLAB), 26 (use MATLAB)
 
Section 3.4: 2, 4, 11, 15abc (use MATLAB), 18, 23, 24
 
Section 3.5: 1, 5
 


Homework Assignment #5:
 
Due Monday, October 19, in class
 
Section 3.3: 34, 35, 36, 37
 
Section 3.4: 27, 28, 40, 41, 42
 
Section 3.5: 9, 15, 17, 18, 19, 21a, 22a, 23a, 26, 27, 29, 30, 34
 
Section 3.6: 2, 3, 4
 


Homework Assignment #6:
 
Due Wednesday, November 4, in class
 
Section 3.6: 5, 7, 8, 11, 12, 14, 15, 19
 
Section 3.7: Solve manually 3, 7, 8, 11, 12, 13, 15, 17
 
Use MATLAB to solve and plot the solution of 3.7: 7, 8, 11
 
Section 3.8: 2, 5, 6, 7a, b(MATLAB),c, 8a,b,c(MATLAB),d
 
Section 4.1: 4, 7, 13, 17, 18, 19