Texas Instruments TI-83 Manual
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Summary of Contents for Texas Instruments TI-83
- Page 1 CONTENTS Calculator Page Texas Instruments TI-83 Texas Instruments TI-82 Texas Instruments TI-85 Texas Instruments TI-86...
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Page 2: Table Of Contents
THE TI-82 Item Page The Viewing Window Turning the Calculator On and Off Graphing in the Standard Viewing Window The TRACE Feature Changing the Dimensions of the Viewing Window Scale Marks Locating the Graph The ZOOM Feature Deleting a Function Step Size Piecewise Defined Functions and Dot Mode Split Screen... - Page 3 Item Page The Program RAND The Program RAND2 Histograms Statistics Line Plots and Histograms The Program DFIELD The Program EULER The Program EULERG The Program EULERS Editing a Program Quiting a Program Writing a New Program Using LINK Executing a Program Troubleshooting Keystrokes for the Program SEC A List of Programs...
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Page 4: The
Introduction Our goal in this manual is to show you what you need to know to obtain the screens in the text and to do the Explorations, not to make you an expert in using graphing calculators. We want you spending your time and energy learning calculus, rather than learning how to use your graphing calculator! We believe you will discover that very little effort is needed to perform quite remarkable tasks on the graphing calculators. -
Page 5: The Viewing Window
Section 1.0 in Text • The Viewing Window • The Standard Viewing Window • TRACE • Dimensions of the Viewing Window • Scale Marks • ZOOM • Deleting a Function To enter Y 2, press the keys • The Step Size X,T,θ... -
Page 6: The Trace Feature
Change the Dimensions of the Viewing Window Graph y = x 2 using a window with di- mensions [ 5, 14] by [ 2500, 1000]. (This is the second part of Example 1 in the text). Solution. Press the WINDOW key and you see The TRACE Feature Find points on the graph of the previous example. -
Page 7: Locating The Graph
point. So take a screen with dimensions [ 10, 10] by [0, 20] and obtain the following (Screen 1.3 in the text). Now press the GRAPH key. You now see the fol- lowing (Screen 1.2 in the text). Using the ZOOM Feature ZOOM about the point (0, 10) in the last screen. -
Page 8: Piecewise Defined Functions And Dot Mode
Now press the 5 key. The other inequality symbols Section 1.1 in Text are entered in a similar manner. Thus, to graph the • Piecewise Defined Functions and Dot Mode given function press the Y = key and type the follow- ing: •... -
Page 9: The Greatest Integer Function
Section 1.2 in Text • The root Operation • The intersect Operation The root Operation Find where the function y1 = 0.95x 300, 000 is zero. Refer to Example 2 and Exploration 1 in the text. Solution. First graph y1 using a screen with dimen- sions [0, 400000] by [ 300000, 100000]. -
Page 10: The Intersect Operation
You are asked for an Upper bound. This means place Now press the keys 2nd CALC 5 and obtain the the cursor to the right of the zero. Press the key following. ENTER and obtain the following. The blinking cursor is on one of the curves and you are You are asked for a guess. -
Page 11: Using Stat And Linreg
Now you are asked for a guess. Move the blinking cur- Place the blinking cursor over On and press ENTER . sor to a point near the intersection and press the key Make sure the other items are highlighted as shown in the previous screen. -
Page 12: The Table Operation
Sections 2.2-2.7 in Text To obtain the best fitting quadratic follow all the in- structions found in STAT above except select QuadReg. That is, press the keys STAT £ 6 . Section 3.1 in Text • The TABLE Operation • The value Operation •... -
Page 13: The Value Operation
At the bottom you see x =. Type 2.1 and press the .01 and press the ENTER key. You then see ENTER key. Then 2.1 appears on the first row under the x-column and 7.3 appears under the Y -column. x = .01 Y = .95499259 Repeat by inputting 2.01, 2.001, 1.999, 1.99, and 1.9. -
Page 14: The Program Eval
Solution. Input Y . Use a window with dimen- Using the EVAL Program sions [.8, 2] by [0, 4]. Execute the SEC program. Use the EVAL program to create a table of values for The program requests a value for x. Press the keys the function f (x) = x . -
Page 15: The Program Nderiv
Section 5.2 in Text • nDer2 • NDER2G nDer2 nDer2 gives a numerical second derivative. Find nDer2f (1) if f (x) = x Solution. To find nDer2f (1), input Y and ex- ecute the program NDER2. The program asks for c. Input 1 and press the ENTER key. -
Page 16: The Program Sum
RECT. Use the program SUM to find the left and right- hand sums for dx when n = 50. Solution. First input Y . Execute the program SUM. A lower limit (of integration) is requested. Press the 0 key and the ENTER key. An upper limit (of integration) is requested. -
Page 17: The Program Nint
The answer is 15. Section 7.3 in Text • The Program TRAP • The Program SIMP The Programs TRAP and SIMP Use the programs TRAP and SIMP to find the trapezoidal and Simpson approximation for dx = π for n = 100, 200, 400. Compare Press the GRAPH key and the graph will appear. -
Page 18: Graphing A Sequence
unfolds note carefully the y-coordinates. You obtain Screen 9.1. Repeat, if needed, and use T = .03 to step speed up the graphing. Section 10.3 in Text Reproduce Screen 10.12 Solution. Set your calculator on parametric and dot mode. Set x = t, y = (2t + 1)/t. - Page 19 by executing RAND2. Follow the same procedure as for RAND. The program RAND2 pauses after displaying the number of heads and the relative frequency and also after displaying the graph. You must press the key ENTER for the program to continue. Histograms Reproduce the histogram in the following figure (Figure 11.1 in the text).
- Page 20 (second item) in the second line and press ENTER . Place the blinking cursor over L1 in the third line and press ENTER . Place the blinking cursor over L2 in the fourth line and press ENTER . Place the blink- ing cursor over the last item in the fifth line and press ENTER .
- Page 21 TI-82 to your TI-82. Consult the Guide- The Program EULERS book that came with your calculator. Note that you can transfer programs from a TI-82 to a TI-83, but not The program EULERS finds and graphs the approxi- from a TI-83 to a TI82.
- Page 22 SEC but also all the keystrokes needed. Troubleshooting The screen is fading. Solution. With the calculator on, press the key 2nd and release. Now press the key and hold it. You should see the screen brighten and a number appear in the upper right-hand corner.
- Page 23 :If J < N + .5 PRGM 1 J 2nd MATH 5 N + . 5 ENTER :Goto 1 PRGM 0 1 ENTER Programs. The programs for the TI-82 are the same as for the TI-83, but are included here for completeness.
- Page 24 :If X ≤ B + H Program DFIELD Goto 1 Stop Output: A direction field for = f (x, y) or for the system Program EULERG = g(x, y), = h(x, y). In the later case, we take f (x, y) = h(x, y)/g(x, y). Output: The graph of an approximate solution to y = f (x, y), y(0) = x on the interval [x...
- Page 25 :Input H :Disp S :Disp “N” :STOP :Input N Program NDER2 :0 → J :Lbl 1 Output: A numerical approximation to f (c). :X → P :Y → Q Input: f (x) as Y :Pt-On(X,Y) :P → X :Disp “C” :Q →...
- Page 26 :Pause RAND :Pt-On(U, F ) Output: Simulates flipping a fair coin. Graphs the rel- :U + 1 → U ative frequencies for every P “flips.” :0 → M :Goto 1 Input: P. Set the dimensions of the screen to [0, 94] by [0.4, 0.6].
- Page 27 :ClrHome :Lbl 1 :HT → T /nDeriv(Y , X, X) → R :Disp “LEFT SUM” :If I > 500 :Disp T :Goto 3 :Disp “RIGHT SUM” :If abs (X R) ≤ abs(X/10 :Disp S :Goto 2 :R → X Program SEC See page 53. :I + 1 →...
- Page 28 :Input N Program TRAP :0 → S Output: Trapezoidal rule approximation A)/N → H C)/N → W f (x) dx. :A + H → X :C + W → Y Input: f (x) as Y , A as a, B as b, N as n :Lbl 1 :S + Y →...
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