This is now ready -- at high noon 14 Jan
The due date for project 1 is 21 Jan

General Rules for Maple projects.

1. Your name must appear on all printed pages as Maple input.
2. Assignments must be stabled (not paper clipped).
3. Maple output can be confusing if the worksheet is not executed
from top to bottom. Make sure you to execute the the worksheet
from top to bottom before printing.
4. Some Maple programs use too big font for printing. Be sure the
font size is reasonable.
5. The student version of maple has a "smartplot", do NOT use this.

Hints:
A. The semi-colon `;' -- Maple wants a semi-colon before it will do
anything. `2+2' does nothing `2+2;' prints 4.
B. The star `*' -- Maple does not understand x y as x * y. Maple
understands xy as a variable `xy' and not as x * y.
C. Echo. If Maple can't figure out what you are talking about, it will
assume you know what you are doing and echo your input. For example,
try miss typing sin(Pi); as sen(Pi);
D. Quoted text uses the backquote ` which is in different places on
different keyboards but is usually grouped with the ~ key.
E. Expressions x^2+2, x+y=3, in Maple are different from Maple functions
which are written like f:=x->x^2+2;

Project 1. (This is not a group project)
1. Enter your name as a comment like
> # The Good Doctor 
and enter your name as Maple Text (insert menu)
2. Find pi to thousand places. -- evalf(Pi,1000)
3. Find the solution of x^2-5=0 -- solve
4. Find the solution to a+b=10 a-b=2 -- use {} to group
5. Solve a+b+c=10 a-b-c=2 for a and b in terms of c -- {a,b} 2nd parameter
6. plot sin(x) for 0 <= x <= 10 with the title "Sin Function" --
plot(sin(x), x=0..10, title=`Sin Function`) [Note the backquote ` and
not the single quote ' or double quote ".]
7. plot sin(2*x), 2*sin(x), sin(x^2), (sin(x))^2 and sin(sin(x)) on the
same graph from 0 to two pi. -- {} to group, x=0..2*Pi
8. ploting x^3-x form -10..10 misses some detail, add a yrange say -5 to 5
to expose the detail. -- y=-5..5 
9. Define a function f(x) to be x^2 and then plot it from -3..3 --
f:=x->x^2; plot(f(x)...
10. Re-define f(x) so the plot looks like the picture below -- define
f(x) using piecewise.
                             +(3,2)
                            /
                           /
     (-2,1)               /
     +                   /
    /                   /
   /                   /
  /                   /
 /    (-2,0)         /
/     +-------------+ (1,0)
(-3,0)

Most likely your maple plot will have an addition vertical line from
(-2,1) to (-2,0) and you can remove it by adding "discont=true" in the
plot function.