The user manual—but shorter, clearer, and much more entertaining!

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An eBook copy of the previous edition, *Using the TI-83 Plus/TI-84 Plus (First Edition)*, is included at no additional cost. It will be automatically added to your Manning Bookshelf within 24 hours of purchase.

This easy-to-follow book includes terrific tutorials and plenty of exercises and examples that let you learn by doing. It starts by giving you a hands-on orientation to the TI-84 Plus calculator. Then, you'll start exploring key features while you tackle problems just like the ones you'll see in your math and science classes.

## preface

## acknowledgments

## about this book

# Part 1 Basics and algebra on the TI-84 Plus

## 1. What can your calculator do?

### 1.1. Five examples of what your calculator can do

#### 1.1.1. Calculating the volume of a cube

#### 1.1.2. Solving the Quadratic Formula

#### 1.1.3. Graphing sine and cosine

#### 1.1.4. Calculating the area under a curve

#### 1.1.5. Fitting a line to data

### 1.2. This book and your calculator

#### 1.2.1. Your calculator, a multipurpose tool

#### 1.2.2. What you’ll need

### 1.3. MathPrint vs. non-MathPrint calculators

### 1.4. Summary

## 2. Get started with your calculator

### 2.1. Before you begin

### 2.2. Performing basic calculations

#### 2.2.1. Simple arithmetic

#### 2.2.2. Dividing sums: demonstrating the importance of parentheses

#### 2.2.3. Using exponents

#### 2.2.4. Roots of numbers

#### 2.2.5. Continuing a calculation: Ans

### 2.3. More homescreen skills

#### 2.3.1. More on 2nd and ALPHA

#### 2.3.2. Editing an equation

#### 2.3.3. Repeating a calculation

#### 2.3.4. MathPrint focus: entering and displaying fractions

### 2.4. Finding functions

#### 2.4.1. Examples of homescreen math functions

#### 2.4.2. A guide to finding functions

### 2.5. Setting modes

### 2.6. Solving equations and checking your answers

#### 2.6.1. Using the Equation Solver tool

#### 2.6.2. Boolean algebra with the Test/Logic menu

### 2.7. Summary

## 3. Basic graphing

### 3.1. Getting started with graphing

### 3.2. Visualizing solutions and examining graphs

#### 3.2.1. A ball is thrown: maximum and minimum of a function

#### 3.2.2. Two trains: intersection of two functions

### 3.3. Manipulating graphs

#### 3.3.1. Viewing different parts of the graph

#### 3.3.2. Modifying graph format settings

#### 3.3.3. Graph styles, shading, and inequalities

### 3.4. Using the Table

#### 3.4.1. Examining graph values

#### 3.4.2. Graph-Table and Horizontal split screen

### 3.5. Summary

## 4. Variables, matrices, and lists

### 4.1. What are variables? Why do I need them?

#### 4.1.1. Plugging x into a polynomial

#### 4.1.2. Finding the volume of a box

#### 4.1.3. Testing the Pythagorean Theorem

### 4.2. Using sequences of numbers: lists

#### 4.2.1. Typing lists

#### 4.2.2. Storing lists into list variables

#### 4.2.3. Isolating a single list element

### 4.3. List operations and functions

#### 4.3.1. List-wise algebra operations

#### 4.3.2. List-wise math functions

#### 4.3.3. Element-wise list operations

### 4.4. Exploring 2D matrices

#### 4.4.1. Typing matrices on the homescreen

#### 4.4.2. Creating and using matrix variables

#### 4.4.3. Typing matrices in the matrix editor

### 4.5. Matrix operations and functions

#### 4.5.1. Matrix-wise algebraic operations

#### 4.5.2. Single-matrix operations

### 4.6. Summary

# Part 2 Precalculus and calculus

## 5. Expanding your graphing skills

### 5.1. Parametric mode

#### 5.1.1. Parametric example: graphing a circle

#### 5.1.2. Parametric example: throwing a baseball

#### 5.1.3. Parametric example: a Lissajous curve

### 5.2. Graphing polar functions

#### 5.2.1. Polar example: a spiral

#### 5.2.2. Polar example: polar rose

### 5.3. Graphing sequences

#### 5.3.1. Sequence example: a sequence of squares

#### 5.3.2. Sequence example: the Fibonacci series

### 5.4. Drawing on graphs

#### 5.4.1. Graphscreen drawing tools

#### 5.4.2. Using drawing tools on the homescreen

#### 5.4.3. Drawing graphlike functions: DrawInv, DrawF, and Shade

### 5.5. Saving graph settings and pictures

#### 5.5.1. Saving and recalling picture variables

#### 5.5.2. Saving and recalling graph databases

### 5.6. Summary

## 6. Precalculus and your calculator

### 6.1. Imaginary and complex numbers

#### 6.1.1. Complex number functions and symbols

#### 6.1.2. Complex roots with the Quadratic Formula

### 6.2. Experimenting with trigonometry

#### 6.2.1. Trig functions

#### 6.2.2. Trigonometry and the unit circle

### 6.3. Understanding limits

### 6.4. Exponents and logarithms

### 6.5. Summary

## 7. Calculus on the TI-83 Plus/TI-84 Plus

### 7.1. Derivatives and slope

#### 7.1.1. Calculating derivatives on the graphscreen

#### 7.1.2. Calculating derivatives on the homescreen

### 7.2. Finding minima, maxima, and inflection points

### 7.3. Integrals and area under a curve

#### 7.3.1. Computing integrals on the graphscreen

#### 7.3.2. Computing integrals on the homescreen

### 7.4. Summary

# Part 3 Statistics, probability, and finance

## 8. Calculating and plotting statistics

### 8.1. Working with data lists

### 8.2. Calculating properties of data

#### 8.2.1. Summarizing data

#### 8.2.2. 1-Var Stats and 2-Var Stats

### 8.3. Statistical plots

#### 8.3.1. Using Scatter and XYLine

#### 8.3.2. Plotting a histogram

#### 8.3.3. Understanding Box plots

#### 8.3.4. Normal probability plots

### 8.4. Regression: fitting lines to data

#### 8.4.1. Linear regression

#### 8.4.2. Exponential regression

#### 8.4.3. More regression: the many options

### 8.5. Summary

## 9. Working with probability and distributions

### 9.1. Calculating PDFs and CDFs

#### 9.1.1. Probability distribution functions

#### 9.1.2. Cumulative distribution functions

#### 9.1.3. Inverse CDFs

### 9.2. Drawing distributions

### 9.3. Combinatorics

### 9.4. Generating random numbers

### 9.5. Summary

## 10. Financial tools

### 10.1. Financial variables and tools

### 10.2. Solving finance problems

#### 10.2.1. Investments and interest

#### 10.2.2. Mortgages and loans

#### 10.2.3. Other finance tools

### 10.3. Summary

# Part 4 Going further with the TI-83 Plus/TI-84 Plus

## 11. Turbocharging math with programming

### 11.1. Hello World, your first program

#### 11.1.1. What’s a program?

#### 11.1.2. Creating and writing a program

#### 11.1.3. Testing the Hello World program

### 11.2. Writing a Quadratic Formula solver

#### 11.2.1. Coding and testing the Quadratic Formula solver

#### 11.2.2. Understanding the Quadratic Formula solver

### 11.3. A crash course in programming commands

#### 11.3.1. Input and output

#### 11.3.2. Conditional statements

#### 11.3.3. Menus, labels, and jumps

#### 11.3.4. Loops

### 11.4. Putting it all together: programming, SATs, math, and more

### 11.5. Summary: taking programming further

## 12. The TI-84 Plus CE and TI-84 Plus C Silver Edition

### 12.1. Arithmetic and algebra

#### 12.1.1. The homescreen and the Mode menu

#### 12.1.2. MathPrint features

#### 12.1.3. OS-wide Catalog Help

#### 12.1.4. The Equation Solver

### 12.2. Graphing features

#### 12.2.1. Your first graph in color

#### 12.2.2. Color graphing features

### 12.3. Drawing in color

### 12.4. Statistics features

#### 12.4.1. Using QuickPlot & Fit-EQ

#### 12.4.2. Using manual Stat Plots

### 12.5. Summary

## 13. Now what?

### 13.1. Connecting your calculator

#### 13.1.1. Transferring files to and from computers

#### 13.1.2. Transferring files between calculators

### 13.2. Finding and using Apps and programs

### 13.3. Writing and publishing your own programs

#### 13.3.1. Programming tools

#### 13.3.2. Forums and archives

### 13.4. Sensors, robots, and hardware

### 13.5. Final thoughts

## Appendix A: The SATs and your calculator

### A.1. Solving SAT math problems

#### A.1.1. Math problem categories

#### A.1.2. Reference programs

### A.2. Multiple-choice questions

### A.3. Student-produced response questions

## Appendix B: Calculator skills summary

### B.1. Arithmetic and basic calculator skills

#### B.1.1. Other important keys

#### B.1.2. Using Alpha-Lock

#### B.1.3. Answers as fractions

#### B.1.4. Functions

#### B.1.5. The Memory menu

#### B.1.6. Solving equations

#### B.1.7. Variables

### B.2. Graphing and drawing

#### B.2.1. Function graphing

#### B.2.2. Parametric graphing

#### B.2.3. Polar graphing

#### B.2.4. Sequence graphing

#### B.2.5. Finding a maximum, minimum, or zero of a graphed function

#### B.2.6. Finding the intersection of two functions

#### B.2.7. Using the Table tool

#### B.2.8. Drawing

### B.3. Precalculus

#### B.3.1. Complex and imaginary numbers

#### B.3.2. A quick guide to trig functions

#### B.3.3. Finding limits with graphs and the Table tool

### B.4. Other tools

#### B.4.1. Calculus

#### B.4.2. Statistics and probability

#### B.4.3. Finance: the TVM Solver

### B.5. Programming

## Appendix C: Something went wrong

### C.1. Troubleshooting big problems

#### C.1.1. My calculator won’t turn on

#### C.1.2. I can’t type anything

#### C.1.3. My settings are messed up

#### C.1.4. My math is coming out wrong

### C.2. Decoding error messages

#### C.2.1. Common error messages

#### C.2.2. Other error messages

## index

## About the book

With so many features and functions, the TI-84 Plus graphing calculator can be a little intimidating. But fear not if you have this book in your hand! In it you?ll find terrific tutorials ranging from mastering basic skills to advanced graphping and calculation techniques, along with countless examples and exercises that let you learn by doing.

*Using the TI-84 Plus, Second Edition* starts by making you comfortable with the screens, buttons, and special vocabulary you'll use every time you fire up the TI-84 Plus. Then, you'll master key features and techniques while you tackle problems just like the ones you'll see in your math and science classes. You'll even get tips for using the TI-84 Plus on the SAT and ACT math sections!

## What's inside

- Learn hands-on with real examples and exercises
- Find specific answers fast
- Compliant with all models of the TI-83 Plus and TI-84 Plus
- Full coverage of the color-screen TI-84 Plus CE and TI-84 Plus C Silver Edition

## About the author

**Christopher Mitchell PhD**is a research scientist studying distributed systems, the founder of the programming and calculator support site cemetech.net, and the author of Manning's

*Programming the TI-83 Plus/ TI-84 Plus*.