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/(x-2)

1/x-2

e) Squaring sin(x)

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

sin(x^2)

sin^2(5x)

f) Parentheses:

ln(sin(5x))/(x^2-1)
(x^2-9)/(3+x^2)

lnsin(5x)/x^2-1
(x^2-9)/3+x^2

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:2nd 6). Deleting or archiving files may be necessary: use 2nd “–“ (VAR-LINK), 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 (2nd 6, then F1) as memory may be corrupted.

g) Use the latest Operating System (OS) using TI Connect.
h) Starting and ending CME may take 2 to 3 seconds due to loading/unloading of software files.

 3)        Garbage Collection Nothing to worry about. The calculator reorganizes memory for proper functioning of APPS such as CME. 1)        Incorrect Program Termination. If CME is not properly terminated using ESC, these two error messages may occur. Simply press ESC (up to 100 times) , then restart CME. If trouble persists: take out all 5 batteries and reinstall cme.

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
2) f(x)=x^n

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
(forgot * for multiplication.

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
(forgot * for multiplication.)

7)        Differential Equations (II)

Enter a differential equation in terms of y.

1) dy/dx=ky
(forgot * for multiplication.)

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
(forgot * for multiplication.

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 n-th term = explicit formula of a sequence.

13)    Power Series

Enter n-th 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
(forgot * for multiplication.

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
(forgot * for multiplication.

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.