Post-6

Review Modules 6, 7 and 8. Include in your review the parts we did not cover in class.
Complete all in-class exercises in Modules 7 (from 12 onwards) and up through exercise 9 in Module 8. Don't forget to upload these in BB.
Do the self-check exercises 12, 13, 14, 17 in Chapter 2, on pages 117-120 of the textbook.
Consider the following sequence:
```
   1024, -512, 256, -128, 64, -32, ...
```
Can you figure out the next four terms in this sequence? Write a program called StrangeSequence.java that uses a for-loop to print the first 10 terms of this sequence?
Suppose that x is a real number between 0 and 1. Define the sequence Y_n as follows:
Write a program called YnSequence.java to print out the value of Y_n when given fixed values of of n and x. Here is a code template where n=10 and x=0.5:
In this case the resulting value should be approximately (but not exactly) 2.0. Next, change the value of x so that x=0.1 and see what you get for Y_n. You should get a number that's approximately equal to 0.123.
Write a program called YnSequencePlot.java that plots the value of Y_n as x varies between 0.1 and 0.9 in increments of 0.1. Set the range to be
```
	DrawTool.setXYRange (0,1, 0,100);
```
Don't forget that you need to have DrawTool.java in the same directory.
Write a program called PiEstimate.java that uses nested for-loops to compute an approximation for π using the first n terms of the following series:
Make sure n is a variable whose value you can change. Then print the results (you need to compute and print π from π/2) that you get for the following values of n: 10, 20, ..., 100.
Don't forget your reflection exercise!

Submission: For this assignment, we'll use Blackboard (BB) for submission. Go to assignments and then to post-6. Upload all your Java programs in a single zip file.

Recommended, but not required:
This week we'll explore computational biology - the intersection of biology and computer science.

Start by looking up the terms computational biology, and protein folding or protein folding simulation.
See this video on the protein folding problem.
Next, look at this short video (3.11 min) on the IBM Blue Gene project to see what kinds of resources are devoted to this problem.
Do you get a sense of why protein folding is a computational problem? And why it's a hard computational problem?
If you want a longer overview of the landscape in computational biology, try this longer video lecture (58 min)
Here's a related TED video (23.44 min)that covers the topic of cancer and explains how computational modeling can help.