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Page 3-37

Define this function by any of the means presented above, and check that

g(-3) = 3, g(-1) = 0, g(1) = 0, g(3) = 9.

Table of Contents

Default Chapter5
- Table of Contents5
Chapter 1 - Getting Started30
- Basic Operations30
  - Batteries30
  - Menus32
- Introducing the Calculator's Keyboard39
- Selecting cas Settings54
- Selecting Display Modes54
Chapter 2 - Introducing the Calculator59
- Calculator Objects59
- Editing Expressions in the Screen61
- Using the Equation Writer (EQW) to Create Expressions68
- Organizing Data in the Calculator90
- Variables104
- UNDO and CMD Functions119
- Flags120
Chapter 3 - Simple Calculations with Real Numbers , 3-1126
- Checking Calculator Settings126
- Checking Calculator Mode127
- Real Number Calculations127
- Real Number Functions in the MTH Menu132
- Calculator Constants141
- Operation with Units142
  - The UNITS Menu142
  - Available Units143
- Physical Constants in the Calculator154
- Special Physical Functions156
- Defining and Using Functions159
- Functions Defined by more than One Expression160
  - The IFTE Function161
  - Combined IFTE Functions161
Chapter 4 - Calculations with Complex Numbers163
- Definitions163
- Setting the Calculator to COMPLEX Mode163
  - Entering Complex Numbers164
  - Polar Representation of a Complex Number165
- Simple Operations with Complex Numbers166
  - Changing Sign of a Complex Number166
  - Entering the Unit Imaginary Number167
- The CMPLX Menus167
  - CMPLX Menu through the MTH Menu167
  - CMPLX Menu in Keyboard169
- Functions Applied to Complex Numbers170
  - Functions from the MTH Menu170
- Function DROITE: Equation of a Straight Line171
Chapter 5 - Algebraic and Arithmetic Operations172
- Entering Algebraic Objects172
- Simple Operations with Algebraic Objects173
- Functions in the ALG Menu174
- Operations with Transcendental Functions178
  - Expansion and Factoring Using Log-Exp Functions179
  - Expansion and Factoring Using Trigonometric Functions179
- Functions in the ARITHMETIC Menu180
- Applications of the ARITHMETIC Menu183
  - Modular Arithmetic183
- Polynomials189
- Fractions195
- The CONVERT Menu and Algebraic Operations198
Chapter 6 - Solution to Single Equations202
- Symbolic Solution of Algebraic Equations202
- Numerical Solver Menu206
  - Polynomial Equations207
  - Financial Calculations210
    - Solving Equations with One Unknown through NUM.SLV215
- The SOLVE Soft Menu228
Chapter 7 - Solving Multiple Equations235
- Rational Equation Systems235
- Solution to Simultaneous Equations with MSLV238
  - Example 1 - Example from the Help Facility239
  - Example 2 - Entrance from a Lake into an Open Channel240
- Using the Multiple Equation Solver (MES)244
  - Application 1 - Solution of Triangles244
  - Application 2 - Velocity and Acceleration in Polar Coordinates252
Chapter 8 - Operations with Lists256
- Definitions256
- Creating and Storing Lists256
- Composing and Decomposing Lists257
- Operations with Lists of Numbers258
  - Changing Sign258
    - Addition, Subtraction, Multiplication, Division258
- Real Number Functions from the Keyboard260
- Real Number Functions from the MTH Menu260
  - Examples of Functions that Use Two Arguments261
- Lists of Complex Numbers262
- Lists of Algebraic Objects263
- The MTH/LIST Menu263
- Manipulating Elements of a List265
  - List Size265
- Defining Functions that Use Lists268
- Applications of Lists269
Chapter 9 - Vectors276
- Definitions276
- Entering Vectors277
- Identifying, Extracting, and Inserting Vector Elements282
- Simple Operations with Vectors284
  - Changing Sign284
  - Addition, Subtraction284
    - Absolute Value Function285
- The MTH/VECTOR Menu285
- Application of Vector Operations291
- Row Vectors, Column Vectors, and Lists294
- Definitions301
Chapter 10 - Creating and Manipulating Matrices301
- Entering Matrices in the Stack302
  - Using the Matrix Writer302
  - Typing the Matrix Directly into the Stack303
- Creating Matrices with Calculator Functions303
- A Program to Build a Matrix out of a Number of Lists315
- Manipulating Matrices by Columns318
- Manipulating Matrices by Rows321
Chapter 11 - Matrix Operations and Linear Algebra327
- Operations with Matrices327
  - Addition and Subtraction328
  - Multiplication328
- Characterizing a Matrix (the Matrix NORM Menu)332
- Additional Matrix Operations (the Matrix OPER Menu)340
- Solution of Linear Systems342
- Eigenvalues and Eigenvectors370
- Matrix Factorization374
- Matrix Quadratic Forms377
  - The QUADF Menu378
- Linear Applications380
Chapter 12 - Graphics382
- Graphs Options in the Calculator382
- Plotting an Expression of the Form y = F(X)383
  - Some Useful PLOT Operations for FUNCTION Plots386
- Saving a Graph for Future Use388
- Graphics of Transcendental Functions389
  - Graph of Ln(X)389
  - Graph of the Exponential Function391
- The PPAR Variable392
- Inverse Functions and Their Graphs393
- Summary of FUNCTION Plot Operation394
- Plots of Trigonometric and Hyperbolic Functions and Their Inverses397
- Generating a Table of Values for a Function398
  - The TPAR Variable399
- Plots in Polar Coordinates400
- Plotting Conic Curves402
- Parametric Plots404
- Plotting the Solution to Simple Differential Equations407
- Truth Plots410
- Plotting Histograms, Bar Plots, and Scatterplots411
  - Bar Plots411
  - Scatter Plots413
- Slope Fields415
- Fast 3D Plots416
- Wireframe Plots418
- Ps-Contour Plots420
  - Y-Slice Plots422
  - Gridmap Plots423
  - Pr-Surface Plots424
    - The VPAR Variable425
  - Interactive Drawing425
- X,Y429
  - Repl429
  - Zooming in and out in the Graphics Display430
  - The SYMBOLIC Menu and Graphs432
    - The SYMB/GRAPH Menu433
  - Function DRAW3DMATRIX435
Chapter 13 - Calculus Applications436
- The CALC (Calculus) Menu436
- Limits and Derivatives436
- Function Lim437
- Application of Derivatives442
- Integrating an Equation453
- Techniques of Integration453
  - Substitution or Change of Variables453
- Integration with Units456
- Infinite Series458
Chapter 14 - Multi-Variate Calculus Applications462
- Multi-Variate Functions462
- Partial Derivatives462
  - Higher-Order Derivatives464
- Multiple Integrals469
  - Jacobian of Coordinate Transformation470
  - Double Integral in Polar Coordinates470
Chapter 15 - Vector Analysis Applications472
- Definitions472
- Gradient and Directional Derivative472
  - A Program to Calculate the Gradient473
  - Using Function HESS to Obtain the Gradient473
- Potential of a Gradient474
- Divergence475
- Laplacian475
- Curl476
  - Irrotational Fields and Potential Function476
- Vector Potential477
Chapter 16 - Differential Equations479
- Basic Operations with Differential Equations479
- The CALC/DIFF Menu482
- Solution to Linear and Non-Linear Equations482
  - Function LDEC483
  - Function DESOLVE485
    - The Variable ODETYPE486
- Laplace Transforms488
  - Definitions488
- Fourier Series505
  - Function FOURIER506
- Fourier Transforms521
  - Definition of Fourier Transforms524
  - Properties of the Fourier Transform526
- Fast Fourier Transform (FFT)527
  - Examples of FFT Applications528
- Solution to Specific Second-Order Differential Equations531
- Numerical and Graphical Solutions to Odes538
- Numerical Solution to Odes with the SOLVE/DIFF Menu547
Chapter 17 - Probability Applications554
- The MTH/PROBABILITY.. Sub-Menu - Part 1554
Chapter 18 - Statistical Applications572
- Pre-Programmed Statistical Features572
  - Entering Data572
  - The STAT Soft Menu586
    - The DATA Sub-Menu586
- The ΣPAR Sub-Menu587
- Determining Confidence Intervals598
  - Confidence Intervals for the Variance604
- Hypothesis Testing605
- Additional Notes on Linear Regression620
- Multiple Linear Fitting627
- Polynomial Fitting629
  - Selecting the Best Fitting633
- Definitions636
Chapter 19 - Numbers in Different Bases636
- The BASE Menu636
  - Conversion between Number Systems638
  - Wordsize639
    - Operations with Binary Integers639
- The LOGIC Menu640
- The BIT Menu641
- The BYTE Menu641
- Hexadecimal Numbers for Pixel References642
Chapter 20 - Customizing Menus and Keyboard643
- The PRG/MODES/MENU643
- Customizing the Keyboard647
Chapter 21 - Programming in User RPL Language650
- An Example of Programming650
- The PRG Menu654
- Programs for Generating Lists of Numbers662
- Examples of Sequential Programming664
  - Programs Generated by Defining a Function664
  - Programs that Simulate a Sequence of Stack Operations666
- Interactive Input in Programs668
- Identifying Output in Programs682
- Relational and Logical Operators692
  - Relational Operators692
  - Logical Operators693
- Program Branching695
  - Branching with if695
  - The CASE Construct700
- Program Loops702
- Errors and Error Trapping713
- User RPL Programming in Algebraic Mode715
Chapter 22 - Programs for Graphics Manipulation717
- The PLOT Menu717
  - User-Defined Key for the PLOT Menu717
  - Description of the PLOT Menu718
- Generating Plots with Programs730
  - Two-Dimensional Graphics730
  - Three-Dimensional Graphics731
- Drawing Commands for Use in Programming735
- Animating Graphics742
  - Animating a Collection of Graphics743
  - More Information on the ANIMATE Function745
- Graphic Objects (Grobs)746
  - The GROB Menu747
- A Program with Plotting and Drawing Functions749
  - Modular Programming752
- An Input Form for the Mohr's Circle Program756
Chapter 23 - Character Strings758
- String-Related Functions in the TYPE Sub-Menu758
- String Concatenation759
- The CHARS Menu759
- The Characters List760
Chapter 24 - Calculator Objects and Flags762
- Description of Calculator Objects762
- Function TYPE763
- Function VTYPE763
- Calculator Flags764
  - System Flags764
    - Functions for Setting and Changing Flags764
  - User Flags765
Chapter 25 - Date and Time Functions766
- The TIME Menu766
- Calculations with Dates768
- Alarm Functions769
Chapter 26 - Managing Memory770
- Memory Structure770
  - The HOME Directory771
  - Port Memory771
- Checking Objects in Memory771
- Backup Objects772
- Backing up Objects in Port Memory772
  - Backing up and Restoring HOME772
  - Storing, Deleting, and Restoring Backup Objects774
- Using Data in Backup Objects774
- Using Libraries775
- Appendix A - Using Input Forms778
- Appendix B - the Calculator's Keyboard782
- Appendix C - cas Settings795
- Appendix D Additional Character Set809
- Appendix E - the Selection Tree in the Equation Writer812
- Appendix F - the Applications (APPS) Menu816
- Appendix G - Useful Shortcuts822
- Appendix H - the cas Help Facility825
- Appendix I - Command Catalog List827
- Appendix J - the MATHS Menu828
- Appendix K - the MAIN Menu831
- Appendix L - Line Editor Commands836
- Appendix M Index841
  - String Concatenation857
Limited Warranty861
Service862
Regulatory Information864

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