Math 306 Spring 2017 Section ZA

Syllabus

UBLearns

Homework #1:
Do the following problems from the book:
Section 1.1: 8, 36, 46
Section 1.2: 6, 2, 40
Section 1.3: 20, 24, 26, 30
The homework is to be handed in (on paper, in class) at the end of class (6:20 pm) on February 14. Do not submit through UBLearns. Multiple sheets of paper should be stapled together (no folding or paperclips, etc.). Homework problems are from the 3rd custom UB/5th standard edition, no points will be given for problems from other editions. The 3rd custom UB edition consists of Chapters 1-8 of the standard 5th edition (which is titled Differential Equations and Boundary Value Problems: Computing and Modeling).

Section 1.3 Slides

Homework #2:
Due: February 16, 6:20pm, in class.
Section 1.4: 12, 32, 48
Section 1.5: 19, 29, 34
Section 1.6: 12, 42, 54, 71

Homework #3:
Due: February 28, 6:20pm, in class.
Section 1.5: 22
Section 1.6: 37, 48
Section 2.2: 8, 18
Section 2.3: 3, 7, 10, 20, 26

Midterm 1 Curve:
The grade shown on UBLearns is your raw score out of 140 points. The curve is VERY ROUGHLY as follows:
101 to 140 points = A
79 to 100 points = B
56 to 78 points = C
34 to 55 points = D
0 to 33 points = F.

Homework #4:
Due: March 7, 6:20pm, in class.
Section 2.4:
Problem NB1:Apply Euler's Method to the initial value problem
dy/dx = 3 cos(2x)-2 sin(3y)
y(0)=1
on the interval [0,10]. Using N=5, compute the points and plot the approximate solution by hand (using a calculator for the computations). Then repeat the problem at N=10, N=50 and N=100 using one of Mathematica, Matlab or Maple; turn in both the commands/functions you used to compute the approximate solutions and their graphs.
Section 3.1: 26, 39
Section 3.2: 4, 15, 23
Section 3.3: 10, 16, 26, 30

Section 2.4 Slides

Homework #5:
Due: March 14, 6:20pm, in class.
Section 3.4: 6, 16
Section 3.5: 13, 31, 44, 59
Section 3.6: 14, 17, 21, 23

Homework #6:
Due: March 30, 6:20pm, in class.
Section 4.1: 6, 20, 32, 33
Section 4.2: 10, 16, 20, 24, 34, 40

Homework #7:
Due: April 11, 6:20pm, in class.
Section 5.1: 3, 4, 6, 10, 18, 22, 24, 28, 30, 40

Homework #8:
Due: April 18, 6:20pm, in class
Problem NB1: Consider the system of equations
x'=x
y'=y+z
z'=2x-2y+4z
Solve the system in two separate ways: First, using the method of elimination, then using the eigenvalue method.

Problem NB2: Using the eigenvalue method, solve the initial value problem
x'=4x-2y
y'=5x+2y
x(0)=1, y(0)=0
Write the solutions in terms of real-valued functions.

Problem NB3:
Use the (generalized) eigenvalue method to solve the system of equations
x'=15x+10y
y'=-8x+3y+6z
z'=24x+16y-3z
Hint: 15 is an eigenvalue.

Section 5.5: 34, 35
Section 6.1: 9, 16, 20
Section 6.2: 30, 32

Section 6.1 Slides

Homework #9:
Due: April 25, 6:20 pm, in class.
Section 6.4: 8, 10, 18
Section 8.1: 14, 18
Section 8.2: 5, 16, 20, 24, 30

Homework #10:
Due: May 2, 6:20pm, in class.
Section 8.3: 22, 28, 34
Section 7.1: 10, 20, 30, 32
Section 7.2: 6, 16, 24

Homework #11:
Due: May 9, 6:20pm, in class.
Section 7.3: 19, 35
Section 7.4: 13, 18, 26
Section 7.5: 4, 18, 25
Section 7.6: 4, 12