Lab Suggestions for Calculus I, Math 241/251
Getting Started.
Introduce the students to the basics of DfW. Open the
program, explain what you see, big white work page, line where you enter
expression, pull down menus, tool bar, and special character pads. Next you
can start doing things.
Entering expressions and operations:
1. 3 + 5, enter, then simplify.
2. 1
/
3, enter, then show the diﬀerence between simplify and approximate.
3. Simplify (

1)
1
/
3
and solve
x
3
=

1.
4. Enter
x
3

a
3
x

a
, illustrate the need of parentheses to get exactly this expres
sion. Notice, when you simplify the program performs a long division.
5. Square roots can be entered using the special character pad, or using
the function
sqrt
.E
v
e
n
√
x

√
a
x

a
and
x
1
/
3

a
1
/
3
x

a
are simpliﬁed by long
division.
6. Mention the mathematical constants
π
, the Euler number
e
,andthe
factor
◦
=
π/
180 for converting degrees into radians on the pad for
special characters.
7. Enter the equation
x
3

5
x
2

x
+ 5 = 0, and ﬁnd its solutions al
gebraically using the command
solve
. You can solve other equations
numerically.
8. DfW knows a lot of functions. Just type sin
x
,tan
x
,andy
ouhav
e
the function to work with. The inverse functions are denoted by, e.g.,
asin
x
. You can ﬁnd a long list of functions by going to the help index
under Functions, Derive Functions.
9. You can use the substitute command to replace a variable by anything
of your choosing. So, if you substitute a number, then you can evaluate
a function at a point.
10. The program will implement some identities when you simplify, e.g.,
sin
2
x
+cos
2