Texas Instruments TI-83 User Manual

EXPONENTS
Exponents can be handled using either the
2
x button or the caret key (^). For example, to
evaluate
2
5 simply type 5 and then push the
2
x button and hit ENTER. To evaluate
4
5 ,
type 5 ^ 4 and hit ENTER. NOTE: The
2
x button may only be used to raise a
quantity to the 2
nd
power.
To compute the reciprocal of a number use the
1−
x button. For example to compute
1
5
−
,
type 5 and then push the
1−
x button. Alternatively, you could use the caret key with
the “negative” button.
Notice the TI-83 automatically puts the solution in decimal form. Should you want your
answer to be in a fraction, use the FRAC option under the MATH menu. For example, to
compute the reciprocal of 5 with the solution in fraction
form, type: 5 and then push the
1−
x button, but instead of
hitting ENTER, press the MATH button and you see the
following menu:
2
x
Caret (^)
1−
x
“Negative”
button
MATH
button

Texas Instruments TI-83 Specifications

General

Programming	TI-BASIC
Processor	Zilog Z80, 6 MHz
Weight	7.4 oz (210 g)
Display	96x64 pixels, monochrome LCD
Power Source	4 AAA batteries, 1 CR1616 or CR1620 for backup
Memory	32 KB RAM
Connectivity	2.5mm I/O port for linking with other TI calculators

Summary

How to Use This Manual

Introduction to the TI-83

Basic calculator skills introduction for TI-83 users.

Turning the Calculator On and Off

Instructions for powering the TI-83 calculator on and off.

An Introduction to the TI83 Keyboard

Overview of the TI-83 calculator's keyboard layout and functions.

Exponents

Caret (^)

Explains the caret key for general exponentiation on TI-83.

Negative Button

Demonstrates using the negative button for reciprocals on TI-83.

Radicals

Exponentials and Logarithms

Trigonometric Functions

MODE

Setting calculator mode for degrees or radians for trig functions.

Other Features

1.2 Graphs of Equations

Example 3 Graphing an Equation on a Graphing Utility

Step-by-step guide to graphing an equation using the TI-83.

Using the Table Feature

TABLESET

Configuring table settings like start value and step on the TI-83.

Example 8 Using a Graphing Utility to Find Intercepts

Example 2 Using INTERSECT to Approximate Solutions of an Equation

Example 9 Solving an Inequality Involving Absolute Value

1.6 Lines

Square Screens

Adjusting the TI-83 viewing window for a square aspect ratio.

1.7 Scatter Diagrams; Linear Curve Fitting

Example 1 Drawing a Scatter Diagram

Step-by-step guide to drawing a scatter diagram using the TI-83.

Example 4 Finding the Line of Best Fit

2.2 Characteristics of Functions

Example 5 Using a Graphing Utility to Locate Local Maxima and Minima and to Determine Where a Function is Increasing and Decreasing

Finding extrema and monotonic intervals of functions on the TI-83.

2.3 Library of Functions; Piecewise-defined Functions

Example 1 Analyzing a Piecewise-defined Function

Analyzing a specific piecewise function using the TI-83.

2.5 Operations on Functions; Composite Functions

Example 2 Evaluating a Composite Function

Calculating composite function values using the TI-83.

3.1 Quadratic Functions; Curve Fitting

Example 11 Fitting a Quadratic Function to Data

Step-by-step guide for quadratic curve fitting on the TI-83.

3.2 Power Functions; Curve Fitting

Example 3 Fitting Data to a Power Function

Guide to fitting power functions to data using the TI-83.

3.3 Polynomial Functions; Curve Fitting

Example 7 A Cubic Function of Best Fit

Fitting a cubic function to data using the TI-83.

4.2 Complex Numbers; Quadratic Equations with a Negative Discriminant

Example 1 Adding and Subtracting Complex Numbers

Adding and subtracting complex numbers on the TI-83.

5.2 Exponential Functions

Example 1 Using a Calculator to Evaluate Powers of 2

Evaluating powers like 2^1.4 using the TI-83.

5.8 Exponential, Logarithmic, and Logistic Curve Fitting

Example 1 Fitting a Curve to an Exponential Model

Fitting an exponential model to data using the TI-83.

Example 2 Fitting a Curve to a Logarithmic Model

Example 3 Fitting a Curve to a Logistic Growth Model

6.1 Angles and Their Measure

Example 2 Converting Between Degrees, Minutes, Seconds and Decimal Forms

Practical conversion of angle measurements on the TI-83.

6.2 Trigonometric Functions: Unit Circle Approach

Example 9 Using a Calculator to Approximate the Value of Trigonometric Functions

Calculating approximate values for cos, tan, etc., on the TI-83.

6.6 Sinusoidal Graphs; Sinusoidal Curve Fitting

Example 10 Finding the Sine Function of Best Fit

Step-by-step guide for sinusoidal regression on the TI-83.

7.5 The Inverse Trigonometric Functions (I)

Example 3 Finding an Approximate Value of an Inverse Sine Function

Calculating arcsin values on the TI-83.

9.1 Polar Coordinates

Example 5 Converting from Polar Coordinates to Rectangular Coordinates

Converting polar points (r, θ) to rectangular (x, y) on TI-83.

Example 6 Converting from Rectangular Coordinates to Polar Coordinates

Converting rectangular points (x, y) to polar (r, θ) on TI-83.

9.2 Polar Equations and Graphs

Example 4 Graphing a Polar Equation Using a Graphing Utility

Step-by-step guide to graphing polar equations on the TI-83.

10.7 Plane Curves and Parametric Equations

Example 2 Graphing a Curve Defined by Parametric Equations Using a Graphing Utility

Guide to graphing parametric curves on the TI-83.

11.3 Systems of Linear Equations: Matrices

Example 6 Solving a System of Linear Equations Using Matrices

Detailed steps for solving linear systems via matrices on the TI-83.

11.4 Systems of Linear Equations: Determinants

Example 2 Using a Graphing Utility to Evaluate a 2 by 2 Determinant

Calculating the determinant of a 2x2 matrix using the TI-83.

Example 3 Solving a System of Linear Equations Using Determinants

Applying determinants and Cramer's rule to solve linear systems on TI-83.

11.5 Matrix Algebra

Example 3 Adding and Subtracting Matrices

Step-by-step guide for adding and subtracting matrices on the TI-83.

Example 13 Finding the Inverse of a Matrix

Example 15 Using the Inverse Matrix to Solve a System of Linear Equations

Section 11.8 Systems of Linear Inequalities; Linear Programming

Example 2 Graphing a Linear Inequality Using a Graphing Utility

Step-by-step guide to graph linear inequalities on the TI-83.

12.1 Sequences

Example 2 Using a Graphing Utility to Write the First Several Terms of a Sequence

Generating sequence terms and graphing them on the TI-83.

Example 7 Using a Graphing Utility to Write the Terms of a Recursively Defined Sequence

Example 12 Using a Graphing Utility to Find the Sum of a Sequence

12.5 The Binomial Theorem

Example 1 Evaluating

Calculating binomial coefficients like C(65, 15) on the TI-83.

13.2 Permutations and Combinations

Example 5 Computing Permutations

Calculating permutations, P(n, k), on the TI-83.

Example 8 Using Formula (2)

13.3 Obtaining Probabilities from Data

14.4 The Tangent Problem; The Derivative

EXAMPLE 3 Finding the Derivative of a Function

Step-by-step guide to finding f'(x) numerically on the TI-83.

14.5 The Area Problem; the Integral

EXAMPLE 3 Using a Graphing Utility to Approximate an Integral

Calculating definite integrals to find area under a curve on TI-83.

Appendix Section 1

EXAMPLE 9 Evaluating an Algebraic Expression

Evaluating algebraic expressions with stored variables on the TI-83.