You are to submit written solutions to the assignment problems.
Also, certain individuals

are asked to prepare projects for presentation. Presenters should
also prepare a one-page

handout for distribution to the class.

Due Jan 15 1.1: 3d, 8, 10 1.2: 4, 8, 9 1.3: 1d, 2f, 3d

Projects: Heather Benz
1.1 Project #1 on page 9

James Cagney 1.2 Problems #10 on page 17

Due Jan 22 1.3: 7, 11, 12
1.4: 4, 6 Also, read
section 2.1 and discuss ONE (your

choice) of the problems 1 - 8 on page 63. Your discussion should
reference the

key terms and concepts from the reading.

Project: Claire Durante 1.3 Project #1 on page 34

Due Jan 29 2.2: 2, 4 2.3: 2, 3, 4

Due Feb 5 3.1: 5, 7 3.2: 2a (set up only) 3.3: 1, 2a, 4

Project: Nesrin Cengiz 2.3 Project #1 on pages 84-85

Due Feb 12 3.4: 7 (follow instructions preceding
#1, but don't transform data)

4.1: 1, 2, 3, 4, 5 (do #1(c, d, e) using least-squares)

4.2: Find the Newton form of the interpolating polynomial for the data:

(0, 4), (1, 8), (2, 10), (3, 4). Then, multiply it out to obtain
the standard

form.

Project: Chris Conrad 3.3: 3 on page 118

Due Feb 19 4.2: Find the polynomial which interpolates
(-1, 6), (1, 2), (4, 11), using

three methods:

(a) Newton form, using a Divided Difference table.

(b) Lagrange form

(c) Standard form, using matrix operations (by hand, or using technology)

Confirm that your three answers give the same polynomial.

4.3: 1, 2 (for each, if a low order polynomial is appropriate, find its
formula)

11

Optional: Here is a way to put a Div Diff table into TI-83 lists: Put x's
into L1

and y's into L2. Then use "seq" to get the 1st order differences
into L3,

as follows:

seq((L2(i+1) - L2(i))/(L1(i+1) - L1(i)), i, 1, n -1,1) -> L3

Do something similar for the higher order differences.

Project: Sandra Cover 4.3: 9 on page 159

Due Feb 26 4.4: 1a
Also, write the matrices which you are giving to your TI-83 (or other

software). Don't forget to graph the spline.

5.1: 2, 3, 5 In each of these problems, first describe
the experiment (or,

algorithm) in human language. Then give your TI-83 (or other

software) code. Finally, run your program "numerous" times

and summarize the results.

5.2: 2

Project #1: Ellen Eisele gathering temperature
data using a CBL.

Project #2: Joie Escuadro
#4 on page 185

Due March 12 5.3: 2 Describe
the algorithm in human language. Then give your TI-83

(or other software) code. Finally, run your program "numerous"

times and summarize the results.

5.3 Projects: 7 on page 193

5.5: 3 Show what Steps in the algorithm need changes
to keep track of:

QUEUE, the number of ships currently waiting in the harbor.

MAXQUE, the maximum number of ships simultaneously

waiting in a queue.

5.5 Projects: 1 on page 215 Give TI-83 (or other
software) code based

on the text's algorithm. Use a suitable normal (not uniform)

distribution to generate randon numbers:

round( randNorm(mean, std), 0).

Run your program six times with 100 ships each. Put your results

in a tabular format, similar to Table 5.15 on page 209.

5.3 Projects Craig Evans Choose any of the simulations
on pages 190 - 193,

except #4 and #7.

Due March 19 7.1: 1, 6 ( Just set up these problems,
you need not solve them.)

7.2: 2, 3, 4c

Due March 26 Use the simplex method on the 2-dimensional
problem (7.2: 2) and

the 3-dimensional problem (7.1: 1). Display the tableaus (and the
four-line

summary under each tableau) - following the example on pp 269 - 271.

7.3: 6(a, b, c, d)

7.5: 1

5.3 Projects Brian Goerge #2

5.4 Projects Ray Herek Choose any of
the simulations on pages 190 - 193,

except #2, #5, and #7.

Due April 2 10.1: 2, 3, 4 (To estimate M, recall that the inflection point occurs where P = M/2)

Project Gwen Rose 10.1: #7

Due April 9 10.1: 6 10.2: 1, 3, 5 10.4: 2, 4 Study slope field handout.

Project Heather Shaffer 10.2: #8 or CBL experiment

Due April 16 10.4(b, d, f) You may use your
SLOPE program. Also find, if possible, equations

of general solutions using separation of variables, and draw some of them

in your slope field.

10.4: 7

10.5: 3 Also use your EULER program to take 30 steps of size
h = 0.02, and

show a graph (with slope field). Compare/discuss the two approximations

of y(0.6), corresponding to the two step sizes.

10.5: 4 Also use your EULER program to take 30 steps of size
h = 0.05, and

show a graph (with slope field). Compare/discuss the two approximations

of y(0.5), corresponding to the two step sizes.

Three project presentations: Brian, Jon, and Andy

Next week I will do some review for the final exam and also give you
an opportunity to evaluate

this course.

The final exam will be Wednesday, April 23, 6:00 - 8:00, in the computer
lab 3394 Rood. You

should prepare one sheet of paper containing items that are hard to
remember. Of course, you

should bring your calculator, but you will also be able to use the
lab's PCs.