Solution 24631: The Computer Algebra System (CAS) and Texas Instruments Graphing Calculators.
What is the Computer Algebra System (CAS) and how does it relate to Texas Instruments calculators?
CAS stands for "Computer Algebra System" and it is software that allows the manipulation of mathematical expressions in symbolic form. The principal difference between a calculator with CAS and one without CAS is the ability to deal with equations symbolically rather than numerically.
Texas Instruments products that have the Computer Algebra System include:
CURRENT PRODUCTS |
OTHER/DISCONTINUED PRODUCTS |
TI-Nspire™ CAS Teacher Software and |
TI-89 |
TI-Nspire™ CAS Navigator™ Teacher Software and |
TI-92 Plus |
TI-Nspire™ CAS Student Software and |
TI-92 |
TI-Nspire™ CX CAS graphing calculator |
TI-InterActive!™ |
TI-Nspire™ CX II CAS graphing calculator |
Derive 6™ |
TI-Nspire™ CX Premium Teacher Software |
Voyage 200™ |
TI-89 Titanium |
TI-Nspire™ CAS handheld (Clickpad) |
|
TI-Nspire™ CAS handheld with Touchpad |
Examples of symbolic manipulations include:
• Expanding expressions:
(x+2)^2 = x^2+4x+4
• Factoring expressions:
x^2-1 = (x+1)*(x-1)
•Simplification to the smallest expression:
a+a = 2*a
a*a = a^2
• Substitution of symbolic expressions:
When f(x) = x^2+x+6. Find f(a-b):
f(a-b) = a^2+a(1-2b)+b^2-b+6
• Precision: the ability to display a solution in exact (EXACT) and approximate (APPROX) form (in FIX and FLOAT decimal modes).
• Indefinite integration
• Limits computation
• Functions composition
• Derivatives and Differential Equations