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Graphing Calculator by Mathlab: User Manual
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  • Home
    • Introduction
    • PRO Features vs. FREE Version
    • Frequently Asked Questions, FAQs >
      • 1. How to Change the Number Format?
      • 2. How to Set Up the Separators Between Thousands?
      • 3. How to Set Precision?
      • 4. How to Send Feedback with Comments?
      • 5. How to import/export the library?
      • 6. How to Print Results?
      • 7. How to Make the Calculator Show the Results?
      • 8. How to Transport Calculation Results to other Programs?
      • 9. How to Transport Table to Other Platforms?
      • 10. How to Turn Off (or on) Vibration?
      • 11. How to Change the Language?
  • 1. Basics
    • 1.1. Navigation
    • 1.2. UI Elements
    • 1.3. Keyboard
    • 1.4. Input, Enter, Delete, Clear and UNDO Buttons
    • 1.5. Workspace Area
    • 1.6. Editing the Expression/Equation
    • 1.7. Using the Last Answer
    • 1.8. Writing Comments
    • 1.9. Clear, Copy & Paste Commands
    • 1.10. Rearranging Rows
  • 2. Settings
    • 2.1. General
    • 2.2. Calculator
    • 2.3. Graph
  • 3. Library
    • 3.1. Constants
    • 3.2. Functions
    • 3.3. How to Save Calculation Result/Graph to Library?
  • 4. Graph Mode
    • 4.1. 2D Graphing
    • 4.2. 3D Graphing
    • 4.3. Enlarging the Graph Area
    • 4.4. Changing to White Background
    • 4.5. Hide Keyboard
    • 4.6. Degree and Radian Scales
    • 4.7. Fixed Scale
    • 4.8. R-axis Scale
    • 4.9. Logarithmic Scale
    • 4.10. Tracing Values and Slopes
    • 4.11. Special Points: Roots and Criticals
    • 4.12. Intersections of Graphs
    • 4.13. Set Domain
    • 4.14. Show All - Roots, Critical Points and Intersections
    • 4.15. Fullscreen
  • 5. Table Mode
    • 5.1. Sharing of Functions
    • 5.2. 2D Table
    • 5.3. 3D Table
    • 5.4. Edit Functions
    • 5.5. Scroll Results
    • 5.6. Results Precision
    • 5.7. Zoom Controls
    • 5.8. Save and Load Table
    • 5.9. Table of Trigonometric Functions
  • 6. Numbers and Number Sense
    • 6.1. Decimals
    • 6.2. Fractions >
      • 6.2.1. Mixed Fractions
      • 6.2.2. Complex Fractions
      • 6.2.3. Converting Decimals to Fractions
      • 6.2.4. Converting Fractions to Decimals
    • 6.3. Percents
    • 6.4. Scientific Notation
    • 6.5. Engineering Notation
    • 6.6. Rounding Numbers
    • 6.7. Integer and Fractional Parts >
      • 6.7.1. Integer Part of a Number >
        • 6.7.1.1. Ceiling
        • 6.7.1.2. Floor
        • 6.7.1.3. Half Down
        • 6.7.1.4. Half to Even
        • 6.7.1.5. Half to Infinity
        • 6.7.1.6. Half to Odd
        • 6.7.1.7. Half to Zero
        • 6.7.1.8. Half Up
        • 6.7.1.9. Truncate
      • 6.7.2. Greatest Integer is the Floor Function
      • 6.7.3. Least Integer is the Ceiling Function
      • 6.7.4. Fractional Part of a Number
    • 6.8. Order of Operations
    • 6.9. Least Common Multiple
    • 6.10. Greatest Common Divisor
    • 6.11. Modulo
    • 6.12. Binary, Octal, Decimal, Hexadecimal Numbers
    • 6.13. Complex Numbers
    • 6.14. The Polar Form of Complex Numbers
    • 6.15. Polar to Rectangular Coordinates
  • 7. Introductory Algebra
    • 7.1. Arithmetic Operations
    • 7.2. Exponents
    • 7.3. Absolute Values
    • 7.4. Variables
    • 7.5. Evaluating Expressions
    • 7.6. Polynomials
    • 7.7. Roots
    • 7.8. Logarithms
  • 8. Equations in One Variable
    • 8.1. Linear Equation
    • 8.2. Absolute Value Equation
    • 8.3. Quadratic Equation
    • 8.4. Cubic Equation
    • 8.5. Polynomial Equation
    • 8.6. Rational Equation
    • 8.7. Radical Equation
    • 8.8. Exponential Equation
    • 8.9. Logarithmic Equation
  • 9. Inequalities in One Variable
    • 9.1. Inequality Symbols
    • 9.2. Linear Inequalities
    • 9.3. Absolute Value Inequalities
    • 9.4. Quadratic Inequality
    • 9.5. Polynomial Inequalities
    • 9.6. Rational Inequalities
    • 9.7. Compound Inequalities
    • 9.8. Inequalities with Constants
  • 10. Equations and Inequalities in Two Variables
    • 10.1. Linear Equations
    • 10.2. Systems of Linear Equations
    • 10.3. Graphing Inequalities
    • 10.4. Multiple Graphing of Inequalities
    • 10.5. Graphing Systems of Inequalities
    • 10.6. Solving Implicit Equations
  • 11. Algebraic Functions and Graphs
    • 11.1. Plotting Points
    • 11.2. How to Graph Functions?
    • 11.3. Setting the Applied Domain
    • 11.4. Linear Function
    • 11.5. Absolute Value Function
    • 11.6. Quadratic Function
    • 11.7. Polynomial Functions
    • 11.8. Rational Functions
    • 11.9. Radical Functions
    • 11.10. Logarithmic Functions
    • 11.11. Exponential Functions
    • 11.12. Sign Function
    • 11.13. Multiple Graphing
    • 11.14. Piecewise Functions
  • 12. Matrices and Vectors
    • 12.1. Matrix Operations
    • 12.2. Editing Matrix Entries
    • 12.3. Matrix Variables
    • 12.4. Matrix and Vector Forms
    • 12.5. Variable Matrix to System of Linear Equations
    • 12.6. Solving Systems of Linear Equations Using Matrix Equations
  • 13. Trigonometric Functions and Their Inverses
    • 13.1. Degrees and Radians >
      • 13.1.1. Degrees, Minutes and Seconds
      • 13.1.2. Bradis Table
    • 13.2. Trigonometric Function Keys
    • 13.3. Trigonometric Values of Special Angles >
      • 13.3.1. The 45- 45 - 90 Triangle
      • 13.3.2. The 30-60-90 Triangle
      • 13.3.3. Quadrantal Angles
      • 13.3.4. Coterminal Angles
    • 13.4. Trigonometric Values of 15 Degrees and Its Multiples
    • 13.5. Hyperbolic Function Keys
    • 13.6. Graphing Trigonometric Functions
    • 13.7. Graphing Hyperbolic Functions
    • 13.8. Graphing Inverse Functions
  • 14. Analytic Geometry
    • 14.1. Conic Sections
    • 14.2. Parametric Equations
    • 14.3. Polar Graphs >
      • 14.3.1. Limacon
      • 14.3.2. Cardioid
      • 14.3.3. Lemniscate
      • 14.3.4. Rose
      • 14.3.5. Other Polar Graphs
    • 14.4. 3D Graphing
  • 15. Limits
    • 15.1. Right - hand Limit
    • 15.2. Left - hand Limit
    • 15.3. Limit of a Function
    • 15.4. Limit of a Polynomial Function
    • 15.5. Limit of a Rational Function
    • 15.6. Limit of a Radical Function
    • 15.7. Limit of an Absolute Value Function
    • 15.8. Limit of a Trigonometric Function
    • 15.9. Limit of an Exponential and Logarithmic Function
    • 15.10. Limit of a Piece-wise Function
    • 15.11. Limits at Infinity
    • 15.12. Indeterminate Forms
    • 15.13. Limit of a Hyperbolic Function
  • 16. Derivatives
    • 16.1. First Derivative Key
    • 16.2. Second Derivative Key
    • 16.3. Third and Higher Derivative Keys
    • 16.4. Rules of Differentiation
    • 16.5. Derivatives of Polynomial Functions
    • 16.6. Derivatives of Rational Functions
    • 16.7. Dervatives of Trigonometric, Logarithmic and and Exponential Functions
    • 16.8. More on Derivatives
  • 17. Partial Derivatives
    • 17.1. Increments
    • 17.2. Dervative of a Function df (or dy))
    • 17.3. Derivative of a Function df (f not in terms of x)
    • 17.4. Other Partial Derivatives
    • 17.5. Higher Order Partial Derivatives
    • 17.6. Total Derivates
  • 18. Definite Integral
    • 18.1. Definite Integral of Algebraic Functions
    • 18.2. Definite Integral of Trigonometric Functions
  • 19. Basic Statistics
    • 19.1. Summation Notation
    • 19.2. Product Notation
    • 19.3. Minimum and Maximum
    • 19.4. Factorial, nCr and nPr
    • 19.5. Measures of Central Tendency >
      • 19.5.1. Mean from Ungrouped Data Set
      • 19.5.2. Mean from Frequency Distribution Table
      • 19.5.3. Median from Ungrouped Data Set
      • 19.5.4. Mode
    • 19.6. Measures of Variability >
      • 19.6.1. Range
      • 19.6.2. Interquartile Range and Quartile Deviation
      • 19.6.3. Mean Absolute Deviation
      • 19.6.4. Variance and Standard Deviation
      • 19.6.5. Coefficient of Variation
    • 19.7. Measures of Position
    • 19.8. Bivariate Data Analysis >
      • 19.8.1 Covariance
      • 19.8.2. Correlation Coefficient
      • 19.8.3. Scatter Plot and Regression Line
  • 20. Special Functions
    • 20.1. Gamma Function
    • 20.2. Logarithmic Gamma Function
    • 20.3. Digamma Function
  • 21. List of ALL Functions
    • 21.1. Arithmetics
    • 21.2. Algebra
    • 21.3. Trigonometry
    • 21.4. Statistics
    • 21.5. Calculus

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CONTENTS

Introduction
PRO Features vs. FREE Version
Frequently Asked Questions, FAQs

CHAPTER 1. BASICS

1.1 Navigation
1.2 UI Elements
1.3 Keyboard
1.4 Input, Enter, Delete, Clear and UNDO Buttons
1.5 Workspace Area
1.6 Editing Expressions/Equations
1.7 Using the Last Answer
1.8 Writing Comments
1.9 Clear, Copy & Paste Commands
1.10 Rearranging Rows

CHAPTER 2. SETTINGS

2.1 General
2.2 Calculator
2.3 Graph

CHAPTER 3. LIBRARY

3.1 Constants
3.2 Functions
3.3 How to Save Calculation Results/Graphs to Library

CHAPTER 4. GRAPH MODE

4.1 2D Graphing
4.2 3D Graphing
4.3 Enlarging the Graph Area
4.4 Changing to White Background
4.5 Hide Keyboard
4.6 Degree or Radian Scale
4.7 Fixed Scale
4.8 R-axis Scale
4.9 Logarithmic Scale
4.10 Tracing Values and Slopes of Graphs
4.11 Special Points: Roots and Critical Points
4.12 Intersections of Graphs
4.13 Set Domain
4.14 Show All - Roots, Critical Points and Intersections
4.15 Fullscreen

CHAPTER 5. TABLE MODE

5.1 Sharing of Functions
5.2 2D Table
5.3 3D Table
5.4 Edit Functions
5.5 Scroll Results
5.6 Results Precision
5.7 Zoom Controls
5.8 Save and Load Table
5.9 Table of Trigonometric Functions in Degrees

CHAPTER 6. NUMBERS AND NUMBER SENSE

6.1 Decimals
6.2 Fractions
6.3 Percents
6.4 Scientific Notation
6.5 Engineering Notation
6.6 Rounding Numbers
6.7 Integer and Fractional Parts
6.8 Order of Operations
6.9 Least Common Multiple
6.10 Greatest Common Divisor
6.11 Modulo
6.12 Binary, Octal, Decimal, Hexadecimal Numbers
6.13 Complex Numbers
6.14 The Polar Form of Complex Numbers
6.15 Polar to Rectangular Coordinates

CHAPTER 7. Introductory Algebra

7.1 Arithmetic Operations
7.2 Exponents
7.3 Absolute Values
7.4 Variables
7.5 Evaluating Expressions
7.6 Polynomials
7.7 Roots
7.8 Logarithms

CHAPTER 8. EQUATIONS IN ONE VARIABLE

8.1 Linear Equation
8.2 Absolute Value Equation
8.3 Quadratic Equation
8.4 Cubic Equation
8.5 Polynomial Equation
8.6 Rational Equation
8.7 Radical Equation
8.8 Exponential Equation
8.9 Logarithmic Equation

CHAPTER 9. INEQUALITIES IN ONE VARIABLE

9.1 Inequality Symbols
9.2 Linear Inequality
9.3 Absolute Value
Inequality
9.4 Quadratic Inequality
9.5 Polynomial Inequality
9.6 Rational Inequality
9.7 Compound Inequalities
9.8 Inequalities with Constants

CHAPTER 10. EQUATIONS AND INEQUALITIES IN TWO VARIABLES

10.1 Linear Equations
10.2 Systems of Linear Equations
10.3 Graphing Inequalities
10.4 Multiple Graphing of Inequalities
10.5 Graphing Systems of Inequalities
10.6 Solving Implicit Equations

CHAPTER 11. ALGEBRAIC FUNCTIONS AND THEIR GRAPHS

11.1 Plotting Points
11.2 How to Graph Functions?
11.3 Setting of Applied Domain
11.4 Linear Function
11.5 Absolute Value Function
11.6 Quadratic Function
11.7 Polynomial Function
11.8 Rational Function
11.9 Radical Function
11.10 Logarithmic Function
11.11 Exponential Function
11.12 Sign Function
11.13 Multiple Graphing
11.14 Piece-wise Function

CHAPTER 12. MATRICES AND VECTORS

12.1 Matrix Operations
12.2 Editing Matrix Entries
12.3 Matrix Variables
12.4 Matrix and Vector Forms
12.5 Variable Matrix to System of Linear Equations
12.6 Solving Systems of Linear Equations Using Matrix Equations

CHAPTER 13. TRIGONOMETRIC FUNCTIONS AND THEIR INVERSES

13.1 Degrees and Radians
13.2 Trigonometric Function Keys
13.3 Trigonometric Values of Special Angles
13.4 Trigonometric Values of 15° and Its Multiples
13.6 Graphing Trigonometric Function
13.7 Graphing Hyperbolic Function
13.8 Graphing Inverse Function

CHAPTER 14. ANALYTIC GEOMETRY

14.1 Conic Sections
14.2 Parametric Equations
14.3 Polar Graphs
14.4 3D Graphing

CHAPTER 15. LIMITS

15.1 Right-hand Limit
15.2 Left-hand Limit
15.3 Limit of a Function
15.4 Limit of a Polynomial Function
15.5 Limit of a Rational Function
15.6 Limit of a Radical Function
15.7 Limit of an Absolute Value Function
15.8 Limit of a Trigonometric Function
15.9 Limit of an Exponential and Logarithmic Functions
15.10 Limit of a Piece-wise Function
15.11 Limits at Infinity
15.12 Indeterminate Forms
15.13 Limit of a Hyperbolic Function

CHAPTER 16. DERIVATIVES

16.1 First Derivative Key
16.2 Second Derivative Key
16.3 Third and Higher Derivative Keys
16.4 Rules of Differentiation
16.5 Derivatives of Polynomial Functions
16.6 Derivatives of Rational Functions
16.7 Derivatives of Trigonometric, Logarithmic and Exponential Functions
16.8 More on Derivatives

CHAPTER 17. PARTIAL DERIVATIVES

17.1 Increments
17.2 Derivative of a Function df (or dy)
17.3 Derivative of a Function df (f not in terms of x)
17.4 Partial Derivatives
17.5 Higher Order Partial Derivatives
17.6 Total Derivatives

CHAPTER 18. INTEGRALS

18.1 Indefinite Integrals
18.2 Definite Integrals

CHAPTER 19. SOME STATISTICS TOPICS

19.1 Summation Notation
19.2 Product Notation
19.3 Minimum and Maximum
19.4 Factorial, nCr and nPr
19.5 Measures of Central Tendency
19.6 Measures of Variability
19.7 Measures of Position
19.8 Bivariate Data Analysis

CHAPTER 20. SPECIAL FUNCTIONS

20.1 Gamma Function
20.2 Logarithmic Gamma Function
20.3 Digamma Function

CHAPTER 21. LIST OF ALL FUNCTIONS

21.1 Arithmetics
21.2 Algebra
21.3 Trigonometry
21.4 Statistics
21.5 Calculus
​

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