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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. 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. Scatterplot 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

PRO vs. FREE Version

The free version of the app requires an internet connection. Once online, advertisements will show on the upper part of the screen. If you go offline, many of the features will not work.

If you want to have all of the benefits and features of the app, we recommend buying the PRO version. For a glimpse of what the app can offer, refer to the following table to see the distinctions between the free and PRO versions.

PRO FEATURES
  • Internet is not required
  • No advertisements
  • 3D graphs
  • Save your own constants, functions and expressions in your library
  • Real-world list of Physical constants
  • Full screen for graphs
  • 9 workspaces
  • Individual settings for each workspace (enabled in general settings)
  • History size of up to 100 entries
  • Entry length of up to 500 characters
  • Up to 10 graphs in 1 workspace
FREE VERSION FEATURES
  • Internet is required
  • Contains advertisements
  • No 3D graphs
  • Cannot save your own constants, functions and expressions in your library
  • Real-world list of Physical constants
  • No Full screen option for graphs
  • 3 workspaces
  • Workspaces keep the same calculator and graph settings
  • History size of up to only 10 entries
  • Entry length of up to only 100 characters
  • Up to 5 graphs in 1 workspace

SCIENTIFIC CALCULATOR:
  • Arithmetic expressions +,-,*,/,÷
  • Scientific notation, 12652 = 1.265E4
  • Decimal Operations, 1.5 * 2.45 = 3.675 
  • Percent calculation, 12% * 200 = 24
  • Rounding Numbers, round(12.6) = 13
  • Floor, Ceiling and Truncation   
            floor(12.6) = 12; ceil(12.6) = 13; trunc(12.6) = 12
  • Modulo  mod(12, 5) = 2
  • Least Common Multiple, lcm(12, 5) = 60
  • Greatest Common Divisor,  gcd(120, 232) = 8
  • Exponent evaluation, 3^3 = 27
  • Square root, cube and higher roots (hold ‘√’ key)
            sqrt(144) = 12, cbrt(125) = 5, root[4] (16) = 2
  • Absolute value   /-4 + 2 - 1/ = 3
  • Complex numbers  (3i - 4)(5i + 2) = -23 - 14i
  • Copy and Paste Command
  • Engineering Notation,  12652 = 12.65E3
    (enabled in Settings / Calculator menu)
  • Sign Functions,  sgn(12) = 1
  • Rounding modes (half up, half to even, half to infinity, half to odd, half to zero, etc.)
  • Integer Part
  • Fractional part, frac(1.5) = 0.5
  • Exponent, logarithms (ln, log, lg2, log [ ] )
SCIENTIFIC CALCULATOR:
  • Arithmetic expressions +,-,*,/,÷
  • Scientific notation
  • Decimal Operations
  • Percent calculation
  • Rounding Numbers
  • Floor, Ceiling and Truncation

  • Modulo
  • Least Common Multiple
  • Greatest Common Divisor
  • Exponent evaluation
  • Square root, cube and higher roots (hold ‘√’ key)
                                                                                                               
  • Absolute value
  • Complex numbers
  • Copy and Paste Command
  • Engineering Notations
    (enabled in Settings / Calculator menu)
  • Sign Functions
  • Rounding modes

  • Integer part
  • Fractional part, frac(1.5) = 0.5
  • Exponent, logarithms (ln, log, lg2, log [ ] )

FRACTION CALCULATOR:
  • Simple and complex fractions , 1/2 + 1/3 = 5/6
  • Mixed numbers - use space to enter values                 such as 3  1/2
FRACTION CALCULATOR:
  • Simple and complex fractions 1/2 + 1/3 = 5/6
  • Mixed numbers - use space to enter values                such as 3 1/2

ALGEBRA & CALCULUS CALCULATOR:
  • Algebraic expressions (2x + 3) - (-3x + 5) = 5x - 2
  • Polynomial expansion & factoring  (x^2-4) = (x+2)(x-2)
  • Solving equations
            Linear  x+1=2 --> x=1
            Quadratic  x^2 - 1 = 0 --> x = -1, 1
            Absolute Value /x - 2/ = 4 -- > x = -2, 6
            Radical sqrt(2x - 3) = 5 --> x = 14
            Polynomial  x^4 - x^3 - 7x^2 + x + 6 = 0 --> x = -2, -1, 1, 3
            Exponent 5^x = 625 --> x = 4
            Logarithmic log (3x - 4) = 2 -->  x = 34  2/3
  • Systems of linear equations                                            write one equation per line: x1+x2=1, x1-x2=2
  • Solving simultaneous equations
  • One-variable Inequalities
  • Complex numbers                                                                  (all functions support complex arguments)
  • Derivatives: sin x’ = cos x, … (hold x^n key)
  • Limits (hold x^ key to enter)  e.g. lim[x=0](sinx/x)=1
  • Partial Derivatives, (hold x^n key)                                       e.g. partial/partial (x) (2x^2 - 5) = 4x
  • Definite Integral
  • Special functions  - gamma(x): Γ(x), lngamma(x): lnΓ(x), digamma(x): ψ(x)
ALGEBRA & CALCULUS CALCULATOR:
  • Algebraic expressions
  • Polynomial expansion and factoring
  • Solving equations
             Linear equations x+1=2 --> x=1
             Quadratic equations x^2-1=0 --> x=-1,1
             Absolute Value
             Radical
             Polynomial
             Exponential
             Logarithmic
  • Systems of linear equations                                            write one equation per line: x1+x2=1, x1-x2=2
  • Solving simultaneous equations
  • One-variable Inequalities
  • Complex numbers                                                                  (all functions support complex arguments)
  • Derivatives: sin x’ = cos x, … (hold x^n key)
  • Limits (hold x^ key to enter)  e.g. lim[x=0](sinx/x)=1
  • Partial Derivatives

  • Definite Integral
  • Special functions - gamma(x): Г(x), lngamma(x): lnΓ(x), digamma(x): ψ(x)

 STATISTICS CALCULATOR:
  • Statistics functions (hold n! key to enter)
  • Factorials  (permutation and combination) nCr(5, 2)=10
  • Minimum and maximum, min(5, 3, 0, -2) = -2
  • Summation and Product Notations
  • Mean, Median and Mode for Ungrouped Data
  • Standard Deviation and Variance (Ungrouped)
  • Covariance and Correlation
            Examples
            A=[1 2 3 4 5]
            B=[2 3 4 5 6]
            sum(A) = 15
            avg(A) = 3
            median(A) = 3
            var(A) = 2.5
            varp(A) = 2
            stdev(A) = 1.58...
            stdevp(A) = 1.41...
            cov(A,B) = 2.5
            corr(A,B) = 1
STATISTICS CALCULATOR:
  • Statistics functions (hold n! key to enter)
  • Factorials (permutation and combination)
  • Minimum and maximum
  • Summation and Product Notations
  • Mean, Median and Mode for Ungrouped Data
  • Standard Deviation and Variance (Ungrouped)
  • Covariance and Correlation
            Examples
            A=[1 2 3 4 5]
            B=[2 3 4 5 6]
            sum(A) = 15
            avg(A) = 3
            median(A) = 3
            var(A) = 2.5
            varp(A) = 2
            stdev(A) = 1.58...
            stdevp(A) = 1.41...
            cov(A,B) = 2.5
            corr(A,B) = 1

MATRIX CALCULATOR:
  • Matrix and vector operations
  • Dot product (hold *), cross product
  • Determinant, inverse, norm, transpose, trace
MATRIX CALCULATOR:
  • Matrix and vector operations
  • Dot product (hold *), cross product
  • Determinant, inverse, norm, transpose, trace

GRAPHING CALCULATOR:
  • Graphing Algebraic Functions
  • Trigonometric functions sin π/2, cos 30°, …
  • Hyperbolic functions                                                          sinh, cosh, tanh, … (hold “e” key to switch)
  • Inverse functions (hold direct function key)
  • Multiple functions graphing
  • Tracing function values and slopes
  • Resizing graphs
  • Graph intersections (x^2=x+1)
  • Setting domain and range
  • Graphing one-variable inequalities
  • Graphing systems of inequalities
  • Scatter plots and regression lines
  • 3D Graphing
  • Fullscreen graphs in landscape orientation
  • Function tables
  • Save graphs as images
  • Save tables as csv file
  • Implicit functions up to 2nd degree                          (ellipse 2x^2+3y^2=1, etc.)
  • Conics
  • Polar graphs (r=cos2θ)
  • Parametric equations (enter each on new line)         x=cos t, y=sin t
  • Function roots, critical points and intersections    
           Select the checkbox on the left of the function to show              its coordinates on the graph. Click the graph button on              the upper menu to display their coordinates as a list.
  • Zoom controls
  • Change graph background
GRAPHING CALCULATOR:
  • Graphing Algebraic Functions
  • Trigonometric functions sin π/2, cos 30°, …
  • Hyperbolic functions                                                         sinh, cosh, tanh, … (hold “e” key to switch)
  • Inverse functions (hold direct function key)
  • Multiple functions graphing
  • Tracing function values and slopes
  • Resizing graphs
  • Graph intersections (x^2=x+1)
  • Setting domain and range
  • Graphing one-variable inequalities
  • Graphing systems of inequalities
  • Scatter plots and regression lines
  • NO 3D Graphing
  • NO Full screen graphs
  • Function tables
  • Save graphs as images
  • Save tables as csv file
  • Implicit functions up to 2nd degree                          (ellipse 2x^2+3y^2=1, etc.)
  • Conics
  • Polar graphs (r=cos2θ)
  • Parametric equations (enter each on a new line)      x=cos t, y=sin t
  • Function roots, critical points and intersections
           Select the checkbox on the left of the function to show              its coordinates on the graph. Click the graph button on              the upper menu to display their coordinates as a list.
  • Zoom controls
  • Change graph background

LIBRARY:
  • User defined constants and functions
  • Save/load expressions
  • Save graphs as images
  • Save tables as csv
  • Save/load history
LIBRARY:
  • User cannot define constants and functions
  • Save/load expressions
  • Save graphs as images
  • Save tables as csv
  • Save/load history

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