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Algebra and PreCalculus with the TI-89

# Algebra and PreCalculus with the TI-89 - Copyright 2004...

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Copyright © 2004 1 Contents Welcome! ................................................................................................................. 2 Basic Preliminary Operations ............................................................................... 2 Power Keys ............................................................................................................. 2 Exponential - e x ................................................................................................. 2 Scientific Notation - EE .................................................................................. 2 Raise Any Number to a Power ^ ..................................................................... 3 Keys for Variables .................................................................................................. 3 Graphing Equations ............................................................................................... 4 Sequences and Series ............................................................................................. 5 Exponents and Polynomials .................................................................................. 7 Greatest Common Factor .................................................................................. 7 Least Common Multiple ................................................................................... 7 Expanding a Polynomial ................................................................................... 8 Expanding a Polynomial ................................................................................... 8 Reducing Expressions ....................................................................................... 9 Using Tables ................................................................................................... 10 Complex Numbers ................................................................................................ 11 Converting to Fractions .................................................................................. 12 Systems of Equations ........................................................................................... 13 Finding the Roots of Equations .......................................................................... 14 Using Logarithms to Solve Problems ................................................................. 15 Graph the Function ......................................................................................... 15 Trace the Curve .............................................................................................. 15 Trigonometric Functions ..................................................................................... 16 Secant, Cosecant, and Cotangent .................................................................... 16 Solving Equations ........................................................................................... 16 Polar & Parametric Equations ........................................................................ 16
Copyright © 2004 2 Welcome! Welcome to College Algebra & Precalculus with the TI-89 Calculator. This guide is intended as a tutorial for students of algebra who use a TI-89 calculator for their algebra class (and with trigonometry – this is know as Pre-Calculus). The goal of this guide is to provide the reader with a quick and easy way to get up to speed on the most commonly used algebraic commands, in the shortest possible amount of time possible. Basic Preliminary Operations Before you can begin to use your calculator for algebra and mathematics, you must first find a few basic keys and know how to use them:. Power Keys There are three main power keys - the “exponential” keys, the “10 to the power” keys, and the “raise to the power” key. Here’s how they work. Exponential - e x The exponential constant e is actually an irrational number that has the value 2.718 … You can find this button on the X key. To perform e computations press and then e x [X]. Lets square the value of e by pressing > e x [X] > 2 > ) > ENTER . The value e 2 appears on your screen. (To make sure it’s in decimal format and not fraction format you need to select MODE > Exact/Approx > APPROXIMATE .) Scientific Notation - EE Another extremely important power button is the “10 to the Power” key. To calculate a number like 5x10 2 all you have to do is press 5 > EE > 2 > ENTER . You find that 5x10 2 = 500. This method is known as scientific notation , and you will probably use this key thousands of times in the future.

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Copyright © 2004 3 Raise Any Number to a Power ^ To raise any number to power simply enter the number and use the ^ key. For example, to solve for 2 3 press 2 > ^ > 3 > ENTER . The result is that 2 3 = 8. Keys for Variables Often you need to make long calculations with many variables. Keeping track of variables can be time consuming. Also, you often have the same exact data values that need to be plugged into an equation many times. By using variables you can save lots of time by not having to enter the same information in, over and over again. This also leads to increased accuracy. Since a number is only entered once, the probability that you have entered the wrong data for one or more of your calculations is decreased.
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Algebra and PreCalculus with the TI-89 - Copyright 2004...

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