Section |
Page |
TI-82 Graping Calculator Guidebook |
1 |
Important & US FCC Information |
2 |
Table of Contents |
3 |
Getting Started: Do This First! |
3 |
Chapter 1: Operating the TI.82 |
3 |
Chapter 2: Math, Angle, and Test Operations |
4 |
Chapter 3: Function Graphing |
4 |
Chapter 4: Parametric Graphing |
4 |
Chapter 5: Polar Graphing |
4 |
Chapter 6: Sequence Graphing |
5 |
Chapter 7: Tables |
5 |
Chapter 8: DRAW Operations |
5 |
Chapter 9: Split Screen |
5 |
Chapter 10: Matrices |
6 |
Chapter 11: Lists |
6 |
Chapter 12: Statistics |
6 |
Chapter 13: Programming |
6 |
Chapter 14: Applications |
7 |
Chapter 15: Memory Management |
7 |
Chapter 16: Communication Link |
7 |
Appendix A: Tables |
7 |
Appendix B: Reference Information |
7 |
Index |
7 |
Using this Guidebook Effectively |
8 |
Structure of the Guidebook |
8 |
Page-Design Conventions |
8 |
Information-Mapping Conventions |
9 |
Reference Aids |
9 |
Glossary |
10 |
Getting Started: Do This First! |
11 |
TI-82 Menus |
12 |
Displaying a Menu |
12 |
Moving from One Menu to Another |
12 |
Selecting an Item from a Menu |
12 |
Leaving without Making a Selection |
12 |
First Steps |
13 |
Entering a Calculation: Compound Interest |
14 |
Defining a Function: Box with Lid |
16 |
Defining a Table of Values |
17 |
Zooming In on the Table |
18 |
Changing the Viewing WINDOW |
20 |
Displaying and Tracing the Graph |
21 |
Zooming on the Graph |
22 |
Finding the Calculated Maximum |
23 |
Other Features |
24 |
Graphing |
24 |
Sequences |
24 |
Tables |
24 |
Matrices |
24 |
Lists |
24 |
Statistics |
24 |
Programming |
24 |
Split Screen |
24 |
Chapter 1: Operating the TI-82 |
25 |
Turning the TI-82 On and Off |
26 |
Turning the Calculator On |
26 |
Turning the Calculator Off |
26 |
APD™ (Automatic Power Down™) |
26 |
Batteries |
26 |
Setting the Display Contrast |
27 |
Adjusting the Display Contrast |
27 |
When to Replace Batteries |
27 |
The Display |
28 |
Home Screen |
28 |
Displaying Entries and Answers |
28 |
Returning to the Home Screen |
28 |
Display Cursors |
29 |
Busy Indicator |
29 |
Entering Expressions and Instructions |
30 |
Expressions |
30 |
Entering an Expression |
30 |
Multiple Entries on a Line |
30 |
Entering a Number in Scientific Notation |
31 |
Functions |
31 |
Instructions |
31 |
Interrupting a Calculation |
31 |
TI-82 Edit Keys |
32 |
Setting Modes |
33 |
Checking MODE Settings |
33 |
Changing MODE Settings |
33 |
Leaving the MODE Screen |
33 |
Setting a MODE from a Program |
33 |
TI-82 Modes |
34 |
Normal, Sci, Eng |
34 |
Float, Fix |
34 |
Radian, Degree |
35 |
Func, Par, Pol, Seq |
35 |
Connected, Dot |
35 |
Sequential, Simul |
35 |
FullScreen, Split |
35 |
Variable Names |
36 |
Variables and Defined Items |
36 |
Storing and Recalling Variable Values |
37 |
Storing Values in a Variable |
37 |
Displaying a Variable Value |
37 |
RCL (Recall) |
37 |
Last Entry |
38 |
Using Last Entry |
38 |
Multiple Entries on a Line |
38 |
Reexecuting the Previous Entry |
39 |
Accessing a Previous Entry |
39 |
Last Answer |
40 |
Using Ans in an Expression |
40 |
Continuing an Expression |
40 |
Storing Answers |
40 |
TI-82 Menus |
41 |
Moving from One Menu to Another |
41 |
Selecting an Item from a Menu |
41 |
Leaving a Menu without Making a Selection |
41 |
VARS and Y-VARS Menus |
43 |
VARS Menu |
43 |
Y-VARS Menu |
43 |
Accessing a Name from a VARS or Y-VARS Menu |
43 |
EOS™ (Equation Operating System) |
44 |
Order of Evaluation |
44 |
Implied Multiplication |
45 |
Parentheses |
45 |
Negation |
45 |
Error Conditions |
46 |
Diagnosing an Error |
46 |
Correcting an Error |
46 |
Chapter 2: Math, Angle, and Test Operations |
47 |
Getting Started: Lottery Chances |
48 |
Keyboard Math Operations |
49 |
Using Lists with Functions |
49 |
+ (Add), – (Subtract), * (Multiply), / (Divide) |
49 |
Trig Functions |
49 |
^ (Power), ² (Square), (Square Root) |
49 |
-1 (Inverse) |
49 |
log, 10^, ln |
50 |
e^ |
50 |
- (Negation) |
50 |
abs |
50 |
(Pi) |
50 |
MATH MATH Operations |
51 |
MATH MATH Menu |
51 |
>Frac |
51 |
>Dec |
51 |
³ (Cube) |
52 |
(Cube Root) |
52 |
xth (Root) |
52 |
fMin(, fMax( |
52 |
nDeriv( |
53 |
fnInt( |
53 |
solve( |
54 |
Controlling the Solution for solve( |
54 |
MATH NUM (Number) Operations |
55 |
MATH NUM Menu |
55 |
round( |
55 |
iPart |
55 |
fPart |
55 |
int |
56 |
min(, max( |
56 |
MATH HYP (Hyperbolic) Operations |
57 |
MATH HYP Menu |
57 |
sinh, cosh, tanh |
57 |
sinh^ -1, cos^-1, tanh^-1 |
57 |
MATH PRB (Probability) Operations |
58 |
MATH PRB Menu |
58 |
rand |
58 |
nPr |
58 |
nCr |
58 |
! (Factorial) |
58 |
ANGLE Operations |
59 |
ANGLE Menu |
59 |
°( Degree) |
59 |
' (DMS Entry Notation) |
59 |
r (Radians) |
59 |
R>Pr(, R>Pq(, P>Rx(, P>Ry( |
60 |
TEST TEST (Relational) Operations |
61 |
TEST TEST Menu |
61 |
=, ne, >, ge>, <. le< |
61 |
Using Tests |
61 |
TEST LOGIC (Boolean) Operations |
62 |
TEST LOGIC Menu |
62 |
Boolean Operators |
62 |
and, or, xor |
62 |
not |
62 |
Using Boolean Operations |
62 |
Chapter 3: Function Graphing |
63 |
Getting Started: Graphing a Circle |
64 |
Defining a Graph |
65 |
Steps in Defining a Graph |
65 |
Exploring a Graph |
65 |
Saving a Graph |
65 |
Setting Graph Modes |
66 |
Checking and Changing Graphing Modes |
66 |
Setting Modes from a Program |
66 |
Defining Functions in the Y= List |
67 |
Displaying the Functions in the Y= List |
67 |
Defining a New Function |
67 |
Editing a Function |
68 |
Clearing a Function |
68 |
Defining Functions from the Home Screen or a Program |
68 |
Evaluating Y= Functions in Expressions |
68 |
Selecting Functions |
69 |
Turning a Function “On” or “Off” |
69 |
Leaving the Y= Edit Screen |
69 |
Selecting Functions from the Home Screen or a Program |
69 |
Defining the Viewing |
70 |
TI-82 Viewing WINDOW |
70 |
Checking the Viewing WINDOW |
70 |
Changing a WINDOW Variable Value |
70 |
Leaving the WINDOW Edit Screen |
71 |
Storing to a WINDOW Variable from the Home Screen or a Program |
71 |
Delta X and Delta Y |
71 |
Setting WINDOW FORMAT |
72 |
Checking WINDOW FORMAT |
72 |
Changing WINDOW FORMAT |
72 |
RectGC, PolarGC |
72 |
CoordOn, CoordOff |
72 |
GridOff, GridOn |
72 |
AxesOn, AxesOff |
72 |
LabelOff, LabelOn |
72 |
Displaying a Graph |
73 |
Displaying a New Graph |
73 |
Pausing a Graph |
73 |
Smart Graph |
73 |
Graphing a Family of Curves |
74 |
Exploring a Graph with the Free-Moving Cursor |
75 |
Free-Moving Cursor |
75 |
Graphing Accuracy |
75 |
Exploring a Graph with TRACE |
76 |
Beginning a Trace |
76 |
Moving along a Function |
76 |
Panning to the Left or Right |
76 |
QuickZoom |
76 |
Moving from Function to Function |
77 |
Leaving TRACE |
77 |
Using TRACE in a Program |
77 |
Exploring a Graph with ZOOM |
78 |
ZOOM Menu |
78 |
ZBox |
78 |
Zoom In, Zoom Out |
79 |
Zoom Out |
79 |
Leaving Zoom In or Zoom Out |
79 |
ZDecimal |
80 |
ZSquare |
80 |
ZStandard |
80 |
ZTrig |
80 |
ZInteger |
80 |
ZoomStat |
80 |
Using ZOOM MEMORY |
81 |
ZOOM MEMORY Menu |
81 |
ZPrevious |
81 |
ZoomSto |
81 |
ZoomRcl |
81 |
Using ZOOM MEMORY from the Home Screen or a Program |
81 |
Setting ZOOM FACTORS |
82 |
ZOOM FACTORS |
82 |
Checking XFact and YFact |
82 |
Changing XFact and YFact |
82 |
Leaving ZOOM FACTORS |
82 |
Using CALC (Calculate) Operations |
83 |
CALCULATE Menu |
83 |
value |
83 |
root |
84 |
minimum, maximum |
85 |
intersect |
85 |
dy/dx |
86 |
Integral f(x)dx |
86 |
Chapter 4: Parametric Graphing |
87 |
Getting Started: Path of a Ball |
88 |
Defining and Displaying a Parametric Graph |
89 |
Defining a Parametric Graph |
89 |
Setting Parametric Graph Modes |
89 |
Displaying Parametric Equations |
89 |
Defining Parametric Equations |
89 |
Selecting Parametric Equations |
90 |
Setting WINDOW Variables |
90 |
Setting the WINDOW FORMAT |
91 |
Displaying a Graph |
91 |
WINDOW Variables and Y-VARS Menus |
91 |
Exploring a Parametric Graph |
92 |
Free-Moving Cursor |
92 |
TRACE |
92 |
ZOOM |
92 |
CALC |
92 |
Chapter 5: Polar Graphing |
93 |
Getting Started: Polar Rose |
94 |
Defining and Displaying a Polar Graph |
95 |
Defining a Polar Graph |
95 |
Setting Polar Graph Modes |
95 |
Displaying Polar Equations |
95 |
Defining Polar Equations |
95 |
Selecting Polar Equations |
95 |
Setting WINDOW Variables |
96 |
Setting the WINDOW FORMAT |
96 |
Displaying a Graph |
97 |
WINDOW Variables and Y-VARS Menus |
97 |
Exploring a Polar Graph |
98 |
Free-Moving Cursor |
98 |
TRACE |
98 |
ZOOM |
98 |
CALC |
98 |
Chapter 6: Sequence Graphing |
99 |
Getting Started: Forest and Trees |
100 |
Defining and Displaying a Sequence Graph |
101 |
Defining a Sequence Graph |
101 |
Setting Sequence Graph Modes |
101 |
Displaying Sequence Functions |
101 |
Defining Sequence Functions |
101 |
Selecting Sequence Functions |
102 |
Setting the WINDOW Variables |
102 |
Setting WINDOW FORMAT |
103 |
Displaying a Graph |
103 |
Evaluating Un and Vn |
103 |
Exploring a Sequence Graph |
104 |
Free-Moving Cursor |
104 |
TRACE |
104 |
ZOOM |
104 |
CALC |
104 |
Chapter 7: Tables |
105 |
Getting Started: Roots of a Function |
106 |
Defining the Variables |
107 |
TABLE SETUP Screen |
107 |
TblMin and Delta Tbl |
107 |
Indpnt: Auto or Ask |
107 |
Depend: Auto or Ask |
107 |
Setting Up a Table from the Home Screen or a Program |
107 |
Defining the Dependent Variable |
108 |
From the Y= Editor |
108 |
From the Table Editor |
108 |
Displaying the Table |
109 |
The Table |
109 |
Displaying More Independent Values |
110 |
Displaying Other Dependent Variables |
110 |
Clearing the Table |
110 |
Chapter 8: DRAW Operations |
111 |
Getting Started: Shading a Graph |
112 |
DRAW DRAW Menu |
113 |
DRAW DRAW Menu |
113 |
Before Drawing on a Graph |
113 |
Drawing on a Graph |
113 |
Drawing Lines |
114 |
Directly on a Graph |
114 |
From the Home Screen or a Program |
114 |
Drawing Horizontal and Vertical Lines |
115 |
Directly on a Graph |
115 |
From the Home Screen or a Program |
115 |
Drawing Tangent Lines |
116 |
Directly on a Graph |
116 |
From the Home Screen or a Program |
116 |
Drawing Functions and Inverses |
117 |
Drawing a Function |
117 |
Drawing an Inverse of a Function |
117 |
Shading Areas on a Graph |
118 |
Shading a Graph |
118 |
Drawing Circles |
119 |
Directly on a Graph |
119 |
From the Home Screen or a Program |
119 |
Placing Text on a Graph |
120 |
Directly on a Graph |
120 |
From the Home Screen or a Program |
120 |
Split Screen |
120 |
Using Pen to Draw on a Graph |
121 |
Using Pen |
121 |
Drawing Points |
122 |
DRAW POINTS Menu |
122 |
Directly on a Graph |
122 |
Pt-Off(, Pt Change( |
122 |
From the Home Screen or a Program |
122 |
Drawing Pixels |
123 |
TI.82 Pixels |
123 |
Turning Pixels On and Off |
123 |
pxl-Test( |
123 |
Split Screen |
123 |
Storing and Recalling Graph Pictures |
124 |
DRAW STO Menu |
124 |
Storing a Graph Picture |
124 |
Recalling a Graph Picture |
124 |
Deleting a Graph Picture |
124 |
Storing and Recalling Graph Databases |
125 |
Graph Databases |
125 |
Storing a Graph Database |
125 |
Recalling a Graph Database |
125 |
Deleting a Graph Database |
125 |
Clearing a Drawing |
126 |
When a Graph is Displayed |
126 |
From the Home Screen or a Program |
126 |
Chapter 9: Split Screen |
127 |
Getting Started: Polynomial Coefficients |
128 |
Using Split Screen |
129 |
Setting Screen MODE |
129 |
Split Screen: Top |
129 |
Split Screen: Bottom |
129 |
Exceptions |
129 |
TI-82 Pixels |
130 |
DRAW Pixels Instructions |
130 |
DRAW Text Instruction |
130 |
PRGM Output Instruction |
130 |
Setting Screen MODE from the Home Screen or a Program |
130 |
Chapter 10: Matrices |
131 |
Getting Started: Systems of Linear Equations |
132 |
Defining a Matrix |
134 |
Selecting a Matrix |
134 |
Accepting or Changing Matrix Dimensions |
134 |
Viewing Matrix Elements |
135 |
Displaying Matrix Elements |
135 |
Leaving the MATRX Edit Screen |
135 |
Deleting a Matrix |
135 |
Editing Matrix Elements |
136 |
Viewing a Matrix |
136 |
Viewing Context Keys |
136 |
Editing a Matrix Element |
137 |
Editing Context Keys |
137 |
About Matrices |
138 |
Using a Matrix in an Expression |
138 |
Entering a Matrix in an Expression |
138 |
Displaying a Matrix |
139 |
Copying One Matrix to Another |
139 |
Accessing a Matrix Element |
139 |
Matrix Math Functions |
140 |
+ (Add), – (Subtract |
140 |
* (Multiply) |
140 |
- (Negate) |
140 |
abs |
140 |
round( |
141 |
-1 (Inverse) |
141 |
Powers |
141 |
Relational Operations |
141 |
iPart, fPart, int |
141 |
MATRX MATH Operations |
142 |
MATRX MATH Menu |
142 |
det |
142 |
T (Transpose) |
142 |
Accessing Matrix Dimensions with dim |
142 |
Creating a Matrix with dim |
143 |
Redimensioning a Matrix with dim |
143 |
Fill( |
143 |
identity |
143 |
randM( |
143 |
augment( |
144 |
Row Operations |
144 |
rowSwap( |
144 |
row+( |
144 |
*row( |
144 |
*row+( |
144 |
Chapter 11: Lists |
145 |
Getting Started: Generating a Sequence |
146 |
About Lists |
147 |
Using a List in an Expression |
147 |
Entering a List in an Expression |
147 |
Saving a List in Memory |
147 |
Displaying a List |
148 |
Copying One List to Another |
148 |
Accessing a List Element |
148 |
Lists in Graphing |
148 |
Notes about Using Math Functions with Lists |
149 |
LIST OPS Operations |
150 |
LIST OPS Menu |
150 |
SortA(, SortD( |
150 |
Accessing List Dimensions with dim |
151 |
Creating a List with dim |
151 |
Redimensioning a List with dim |
151 |
Fill( |
152 |
seq( |
152 |
LIST MATH Operations |
153 |
LIST MATH Menu |
153 |
min(, max( |
153 |
mean(, median( |
153 |
sum |
154 |
prod |
154 |
Sums and Products of Numeric Sequences |
154 |
Chapter 12: Statistics |
155 |
Getting Started: Building Height and City Size |
156 |
Setting Up a Statistical Analysis |
163 |
Steps |
163 |
Displaying the STAT List Editor |
163 |
Leaving the STAT List Editor |
163 |
Deleting a List |
163 |
Viewing List Elements |
164 |
Viewing Context Keys |
164 |
Editing List Elements |
165 |
Editing Context Keys |
165 |
Editing a List Element |
165 |
STAT EDIT Menu |
166 |
STAT EDIT Menu |
166 |
SortA(, SortD( |
166 |
ClrList |
166 |
Statistical Analysis |
167 |
STAT CALC Menu |
167 |
SET UP CALCS Screen |
167 |
Changing Settings |
167 |
Statistical Variables |
168 |
Q1 and Q3 |
168 |
Types of Statistical Analysis |
169 |
1-Var Stats |
169 |
2-Var Stats |
169 |
Med.Med |
169 |
LinReg (ax+b) |
169 |
QuadReg |
169 |
CubicReg |
169 |
QuartReg |
169 |
LinReg (a+bx) |
170 |
LnReg |
170 |
ExpReg |
170 |
PwrReg |
170 |
Statistical Analysis in a Program |
171 |
Entering Stat Data |
171 |
Statistical Calculations |
171 |
Statistical Plotting |
172 |
Steps |
172 |
Scatter Plot |
172 |
xyLine |
172 |
Boxplot |
173 |
Histogram |
173 |
Defining the Plots |
174 |
Turning Plots Off or On |
175 |
Defining the Viewing WINDOW |
175 |
Tracing a Stat Plot |
175 |
Statistical Plotting in a Program |
176 |
Stat Plots |
176 |
Defining a Stat Plot |
176 |
Displaying a Stat Plot |
176 |
Chapter 13: Programming |
177 |
Getting Started: Family of Curves |
178 |
About TI-82 Programs |
180 |
Notes about Programs |
180 |
\ |
180 |
Memory Management and Erasing Programs |
180 |
Creating and Executing Programs |
181 |
Creating a New Program |
181 |
Editing a Program |
181 |
Leaving the Program Editor |
181 |
Executing a Program |
181 |
Editing Programs |
182 |
Entering Program Commands |
182 |
Changing |
182 |
Inserting |
182 |
Deleting |
182 |
Copying a Program |
182 |
PRGM CTL (Control) Instructions |
183 |
PRGM CTL Menu |
183 |
Controlling Program Flow |
183 |
If |
183 |
If-Then |
184 |
If-Then-Else |
184 |
For( |
184 |
While |
185 |
Repeat |
185 |
End |
185 |
Pause |
186 |
Lbl, Goto |
186 |
IS>( |
186 |
DS<( |
186 |
Menu( |
187 |
prgm |
187 |
Return |
188 |
Stop |
188 |
PRGM I/O (Input/Output) Instructions |
189 |
PRGM I/O Menu |
189 |
Input |
189 |
Displaying a Graph with Input |
189 |
Storing a Variable Value with Input |
189 |
Disp |
190 |
Displaying the Home Screen |
190 |
Displaying Values and Messages |
190 |
Prompt |
191 |
DispGraph |
191 |
DispTable |
191 |
Output( |
191 |
getKey |
192 |
ClrHome |
193 |
ClrTable |
193 |
PrintScreen |
193 |
Get( |
193 |
Send( |
193 |
Calling Other Programs |
194 |
Calling a Program from Another Program |
194 |
Notes about Calling Programs |
194 |
Chapter 14: Applications |
195 |
Left-Brain, Right-Brain Test Results |
196 |
Problem |
196 |
Procedure |
196 |
Speeding Tickets |
198 |
Problem |
198 |
Procedure |
198 |
Buying a Car, Now or Later? |
199 |
Procedure |
199 |
Graphing Inequalities |
200 |
Procedure |
200 |
Solving a System of Nonlinear Equations |
201 |
Procedure |
201 |
Program: Sierpinski Triangle |
202 |
Program |
202 |
Cobweb Attractors |
203 |
Procedure |
203 |
Program: Guess the Coefficients |
204 |
Program |
204 |
The Unit Circle and Trigonometric Curves |
205 |
Problem |
205 |
Solution |
205 |
Ferris Wheel Problem |
206 |
Problem |
206 |
Solution |
206 |
Reservoir Problem |
208 |
Problem |
208 |
Procedure |
208 |
Predator-Prey Model |
210 |
Problem |
210 |
Procedure |
210 |
Fundamental Theorem of Calculus |
212 |
Problem 1 |
212 |
Procedure 1 |
212 |
Problem 2 |
213 |
Procedure 2 |
213 |
Finding the Area between Curves |
214 |
Procedure |
214 |
Chapter 15: Memory Management |
215 |
Checking Available Memory |
216 |
Displaying the MEM FREE Screen |
216 |
Deleting Items from Memory |
217 |
Deleting an Item |
217 |
Resetting the TI-82 |
218 |
Resetting |
218 |
Chapter 16: Communication Link |
219 |
Getting Started: Sending Variables |
220 |
TI-82 LINK |
221 |
Linking to Another TI-82 |
221 |
Linking to a CBL 2/CBL or CBR |
221 |
Linking to a PC or Macintosh |
221 |
Connecting the Cable |
221 |
Leaving a LINK Screen or Menu |
221 |
Selecting Items |
222 |
What You Can Send |
222 |
Selecting Items to Send |
223 |
Transmitting Items |
224 |
Transmitting Items |
224 |
Transmitting Items to an Additional TI-82 |
224 |
Error Conditions |
224 |
Receiving Items |
225 |
Receiving Unit |
225 |
Duplicate Name |
225 |
Insufficient Memory in Receiving Unit |
225 |
Backing Up Memory |
226 |
Memory Backup |
226 |
Receiving Unit |
226 |
Appendix A: Tables |
227 |
Table of Functions and Instructions |
228 |
A, C |
228 |
D |
230 |
E |
231 |
F |
232 |
G, H, I |
234 |
L |
236 |
M |
237 |
N |
238 |
O |
239 |
P |
240 |
Q |
241 |
R |
242 |
S |
243 |
T |
246 |
V, W, Z |
247 |
TI-82 Menu Map |
248 |
Table of Variables |
254 |
User Variables |
254 |
System Variables |
254 |
Appendix B: Reference Information |
255 |
Battery Information |
256 |
When to Replace the Batteries |
256 |
Effects of Replacing the Batteries |
256 |
Battery Precautions |
256 |
Replacing the Batteries |
257 |
In Case of Difficulty |
258 |
Handling a Difficulty |
258 |
Accuracy Information |
259 |
Computational Accuracy |
259 |
Graphing Accuracy |
259 |
Function Limits |
260 |
Function Results |
260 |
Error Conditions |
261 |
Support and Service Information |
265 |
Product Support |
265 |
Product Service |
265 |
Other TI Products and Services |
265 |
Warranty Information |
266 |
Customers in the U.S. and Canada Only |
266 |
Australia & New Zealand Customers only |
267 |
All Customers Outside the U.S. and Canada |
267 |
Index |
268 |
A, B, C |
268 |
D |
269 |
E, F |
270 |
G, H, I |
271 |
L, M |
272 |
N, O, P |
273 |
Q, R |
274 |
S |
275 |
T, U, V, W, X |
276 |
Y, Z |
277 |