User Guide – Calculus Made Easy
Topic 
Description 
Correct 
Incorrect 



1) General usage of the TI89/Voyage200 



a)
Multiplication of variables 
x*y^2, x*cos(x) 
xy^2, xcos(x) 

b)
Enter .5 instead of ½ to obtain decimal answers. 
use ½*x or .5*x 


c)
Roots: i.e. ^{3}√x 
x^(1/3) 
3√x 

d)
Denominators 
1/(x2) 
1/x2 

e)
Squaring sin(x) 
sin(x)^2 or (sin(5x))^2 
sin(x^2) sin^2(5x) 

f)
Parentheses: 
ln(sin(5x))/(x^21) 
lnsin(5x)/x^21 

g)
Euler Number 
e (using Diamond e^x) 
e (Alpha e) 










2)
General usage of CME 
a) Use
ESC to exit the current module or CME altogether. b)
Incorrect Entries – see above  yield the error message: “Invalid Entry”.
Press ENTER and correct expression. c) To force
decimal answers, use decimal input (see also 1b) d)
Provide 160,000 bytes of RAM and 290,000 of Flash ROM (to check:2^{nd} 6). Deleting or archiving files may be
necessary: use 2^{nd} “–“ (VARLINK), F4 to
select files, then F1 to delete or archive. Archiving might be a good way to
manage programs, variables, etc as a loss of battery power may delete any
unarchived files. e) When
using CME, its program files are temporarily placed in the MAIN folder. Thus,
empty MAIN folder when starting CME to prevent any file reoccurrences (and
thus loading error). f)
Should Calculus Made Easy not start (anymore) or act strange, reset ALL
memory (2^{nd} 6, then F1) as memory may be corrupted. g) Use
the latest Operating System (OS) using TI Connect. 



2)
An Answer Exceeds Screen (Ex: MRAM in Area Approximation Module) 
How to correct it: Use Decimal point for 1 entry.
Here, the left endpoint a=1.0 (not 1) 
Corrected display
fits screen: 









3)
Functions 
When asked
to enter f(x)
you must enter a term in terms of the variable x. 

1) f(x)=2*x*y 



4)
Continuity of piecewise defined functions. 
Enter
the two parts called y1(x) and y2(x) of a piecewise defined function. Include
the coefficient a (which is to be determined here to make this function
continuous). 

1) f(x)=ax 



5)
Implicit Differentiation problems 
Enter
an equality using x and y. 

1) xy=1 2) x^2+y^2 (forgot = and the right side) 



6)
Differential Equations (I) 
Enter a
differential equation in terms of x and y.


1) dy/dx=xy/2 



7)
Differential Equations (II) 
Enter a
differential equation in terms of y. 

1) dy/dx=ky 



8)
Volume Problems 
Enter
functions R(x) and r(x) both in terms of x. R(x) is the function with the
greater radius, r(x) has the smaller radius.
Lower bound
is a, upper bound is b. 





9)
Motion Problems 
Motion
problems such as s(t), v(t) or a(t) require
functions in terms of t. Lower
bound is a, upper bound is b. 





10)
Parametric Equations 
Enter parametric
equation in terms of t. 

1) xy=1 2) x^2+y^2 (forgot = and the right side) 



11)
Polar Equations 
Enter a
polar curve in terms of Ө. 

1) 2*cos(3x) (must use theta) 2) 45º (all angles are in radian.) 



12)
Sequences 
Enter
nth term = explicit formula of a sequence. 





13)
Power Series 
Enter
nth term of a Power Series. 





14)
Taylor Series 
Enter a
function in terms x to find the corresponding Taylor Series. 





15)
Multivariable Functions I f(x,y) 
Enter a
function in terms of x and y. 

1) xy 2) x^2+y^2 



16)
Multivariable Functions II f(x,y,z) 
Enter a
function f in terms of x,y
and z. 

1) xyz 



17)
Multivariable Functions III
f(x,y,z)

Enter a
function f in terms of x,y
and z. And enter x(t) and y(t) as
functions of t. 





18)
Vector Calculus (I) 
Typically,
use vector notation to enter Vector Functions. Similarly, use vector notation
to describe the variables involved. Ex: Divergence, Derivative, Integral. 





19)
Vector Calculus (II) 
Warning: At times a scalar functions (no
vector, no brackets) needs to be entered. I.e. when computing Gradients or
Directional Derivatives. So watch the displayed sample entries in the dialog
boxes closely. 









