Module of MATHEMATICS

- New topic "Divisibility"

Rational numbers:
- Reduce to a common denominator
- Addition-subtraction of fractions with like denominators
- Addition-subtraction of fractions with unlike denominators
- Improper fractions to mixed numbers
- Mixed numbers to improper fractions
- Identifying mixed numbers of shaded shapes

Equations:
-Exponential equations:  Added a new type: a^x + a^(b-x) = c

Systems of non-linear equations:
-Systems of 2×2 equations (linear and quadratic): Added a new type: f·xy=k, ax+by=c

Complex numbers:
- Rectangular (cartesian) to polar conversion
- Polar to rectangular (cartesian) conversion

Plane analytical geometry:
- Conics I: Circle: Added exercise to find radical axis of two circles

Limits:
- Limits involving rational functions:  Added a new type: (x+b)/(x-a) - (x+c)/(x^2-a^2)
- Limits involving roots: Added a new type: sqr[(x-a)(x-b)] / sqr(x-a)
- Limits of powers: Added 3 new types:  [a^(x+d) + b^(x+f)]/[a^(x+g) + b^(x+h)],    (1 + a·sinx)^(b/x)   and    (b+1 - b·cosx)^(c/x^2)

Derivatives:
- Average rate of change of a function
- Derivative of functions VII: Added a new type y = [(ax+b)/(cx+d)]^n

Study of functions:
- Analyze function using the graph of its derivative (III)  (pseudo-quartic functions)

Graphing functions:
- Formula of a linear function given its graph
- Properties of a piecewise function given its graph I
- Properties of a piecewise function given its graph II
- Formula of a piecewise function given its graph
- Basic III: Piecewise functions. Linear and constant
- Basic IV: Piecewise functions. Linear and quadratic

Indefinite integrals:
- Integration by substitution I. Added 3 new types: e^x/sqr(e^x+a),  e^(2x)/sqr(e^x+a),  e^(3x)/sqr(e^x+a)





























New in version 1.18
New in version 1.18.3
- New toolbar design




























- Improved backward compatibility with worksheet files created with older versions (prior to 1.12).








New in version 1.12.1
- Automatic check for updates.

Module of MATHEMATICS
- Rational numbers: Placing fractions on the Number Line.
- Rational numbers: Identifying fractions on the Number Line.

- Real numbers: Placing real numbers on the Number Line.

- Equations: Simplifying linear and quadratic expressions.

- Systems of linear equations: Solving system of 2×2 linear equations by graphing.

- Complex numbers: Complex equations.
- Complex numbers: Complex equations + plotting answers.

- Plane analytical geometry: Conics: Matching equation of conic sections to their graphs.

- Study of functions: Matching linear functions to their graphs.
- Study of functions: Matching quadratic functions to their graphs.
- Study of functions: Matching cubic functions to their graphs.
- Study of functions: Matching functions to their graphs.

- Statistics: Two-variable statistics: Drawing the scatterplot and the regression line.

Modules of PHYSICS and CHEMISTRY
- Units and chemical formulae: Mass conversion (metric).
- Units and chemical formulae: Length conversion (metric).
- Units and chemical formulae: Area conversion I (metric).
- Units and chemical formulae: Area conversion II: Square meter and hectare.
- Units and chemical formulae: Volume conversion I: (metric).
- Units and chemical formulae: Volume conversion II (metric).
- Units and chemical formulae: Volume conversion III (metric).
- Units and chemical formulae: Temperature conversion I (Celsius - Fahrenheit).
- Units and chemical formulae: Temperature conversion II (Celsius - Fahrenheit - Kelvin).
- Units and chemical formulae: Length conversion (metric - imperial).
- Units and chemical formulae: Mass conversion (metric - imperial).


Module of CHEMISTRY
- Atomic and molecular structure: Number of protons, neutrons, and electrons for atoms (tabular format).
- Atomic and molecular structure: Number of protons, neutrons, and electrons for atoms and ions  (tabular format).
- Atomic and molecular structure: Lewis dot structure.
- Atomic and molecular structure: Lewis dot structure and molecular geometry.

- Organic chemistry: Hybridization state of carbon atoms.







New in version 1.12
Module of CHEMISTRY

- Fixed bugs in colligative properties.







New in version 1.12.2
Module of MATHEMATICS

New types of solutions in equations:
- Linear equations with integer coefficients. Integer solutions
- Linear equations with integer coefficients. Rational solutions

- Linear equations with rational coefficients. Integer solutions
- Linear equations with rational coefficients. Rational solutions

- Incomplete quadratic equations. Integer solutions
- Incomplete quadratic equations. Rational solutions
- Incomplete quadratic equations. Real solutions

- Complete quadratic equations. Integer solutions
- Complete quadratic equations. Rational solutions
- Complete quadratic equations. Real solutions

- Quadratic equations. Constants in the denominator. Integer solutions
- Quadratic equations. Constants in the denominator. Rational solutions
- Quadratic equations. Constants in the denominator. Real solutions

- Quadratic equations. Unknown in the denominator. Integer solutions
- Quadratic equations. Unknown in the denominator. Rational solutions
- Quadratic equations. Unknown in the denominator. Real solutions

- Biquadratic equations. Integer solutions
- Biquadratic equations. Rational solutions
- Biquadratic equations. Real solutions

New types of solutions in systems of equations:
- Systems of 2×2 linear equations. Integer solutions
- Systems of 2×2 linear equations. Rational solutions

- Solving system of 2×2 linear equations by graphing. Integer solutions

- Systems of 3×3 linear equations. Integer solutions
- Systems of 3×3 linear equations. Rational solutions

Diagonalization of matrices:
- Diagonalization of 2x2 matrices: Eigenvalues
- Diagonalization of 3x3 matrices: Eigenvalues
- Diagonalization of 2x2 matrices: Eigenvalues and eigenvectors
- Diagonalization of 3x3 matrices: Eigenvalues and eigenvectors

















New in version 1.13
Module of MATHEMATICS

- Matrices, determinants and systems of equations:

- Cayley-Hamilton Theorem: Powers of a matrix
- Cayley-Hamilton Theorem: Inverse and powers of a matrix
- Coordinates of a 2D-vector relative to a given basis
- Coordinates of a 3D-vector relative to a given basis
- Change of basis matrix for 2D-vectors
- Change of basis matrix for 3D- vectors

















New in version 1.14
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New in version 1.18.4
- Improved page browsing

Module of MATHEMATICS
- Added new topic: "Exponentials and logarithms"

- Added new subtopics in "Exponentials and logarithms" topic:
-- Exponential expression to logarithmic expression
-- Logarithmic expression to exponential expression
-- Simplifying logarithms
-- Evaluate logarithms from another one

- Added new topic: "Systems of inequalities"

- Added new subtopics in "Matrices, determinants and systems of equations" topic:
-- Determinants 3×3 (without parameters)
-- Determinants 4×4 (without parameters)
-- Determinants (with parameters)
-- Rank of matrices (without parameters)
-- Rank of matrices (with parameters)
-- Inverse matrix (without parameters)
-- Inverse matrix (with parameters)

- Added new topic: "Vector space"

- Added new subtopic in "Trigonometry" topic:
-- Reducing to the corresponding acute angle

- "Statistics" topic was renamed as "Descriptive statistics"

Module of CHEMISTRY
- Added 6 new organic chemistry reactions in "Organic chemistry" topic:
-- Oxidation of primary alcohol
-- Oxidation of secondary alcohol
-- Oxidation of aldehyde
-- Reduction of carboxylic acid
-- Reduction of aldehyde
-- Reduction of ketone

-Added 5 new electrodes in "Redox reactions" topic:
-- Fe+3 / Fe
-- Co+2 / Co
-- Mn+2 / Mn
-- Ti+3 / Ti
-- V+2 / V

-- Added  "diagrams of electrochemical cells" in "Redox reactions" topic / "Galvanic cell" subtopic.
New in version 1.18.5
Module of MATHEMATICS

- Added new subtopic in "Unit conversion" topic:
-- Time conversion

- "Angle calculations" topic was renamed as "Sexagesimal system"

- Added new subtopics in "Sexagesimal system" topic:
-- Time and clock (I)
-- Time and clock (II)

- In "Sexagesimal system" topic, the following subtopics now ask for angle and time calculations:
   - Addition 
   - Subtraction 
   - Multiplication by a whole number
   - Division by a whole number 

- Added new subtopics in "Equations" topic:
-- Linear equations word problems (integer coefficients)
-- Linear equations word problems (rational coefficients)

- Added new subtopic in "Definite integrals" topic:
-- Definite integrals

- Added new topic: "Differential equations"

- Added new subtopics in "Differential equations" topic:
  -- Separable
  -- Linear equations
  -- Homogeneous equations
  -- Exact equations
  -- Second order homogeneous linear equations with constant coefficients


Module of PHYSICS

- Added new subtopic in "Unit conversion" topic:
-- Time conversion

- Added new subtopic in "Dynamics" topic:
-- Hooke's Law word problems

- Added new subtopic in "Sound" topic:
-- Sound Intensity and Sound Level


Module of CHEMISTRY

- Added new subtopic in "Units and chemical formulae" topic:
-- Time conversion

- Added new subtopics in "Stoichiometry of chemical reactions" topic:
-- Simple stoichiometry of reactions I (pure reagents)
-- Simple stoichiometry of reactions II (impure reagents)
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New in version 1.20.0
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Module of MATHEMATICS

- Added new subtopics in "Divisibility" topic:
  - Gcm of natural numbers
  - Lcm of natural numbers

- Added new subtopic in "Rational numbers" topic:
  - Addition and subtraction of repeating decimal numbers

- Added new subtopics in "Powers and roots":
  - Writing radicals as rational exponents
  - Writing rational exponents as radicals
  - Addition and subtraction of cube roots

- Added new type of equation in "Equations" topic / "Equations involving roots" subtopic:
  - New type of equation: sqr(x+a) + sqr(x+b) = c

- Added 5 new types of Indefinite integrals in "Indefinite integrals" topic / " Integration by parts III" subtopic:
  - 5 new types of Indefinite integrals:
  x * arctan ax
  sin ln ax
  cos ln ax
  expx * sin ax
  expx * cos ax

- Added new topic: "Vector calculus":
  - Gradient
  - Divergence
  - Curl


Module of PHYSICS

- Added new topic: "Vector calculus":
  - Gradient
  - Divergence
  - Curl

- Added new subtopic in "Dynamics" topic:
  - Centripetal force


Module of CHEMISTRY

- Added new subtopics in "Units and chemical formulae" topic:
  - Determining empirical and molecular formula (without combustion)
  - Determining empirical and molecular formula (with combustion)

- Added new subtopic in "Gases" topic:
  - Problems of ideal gases III (Dalton's Law)
New in version 1.21
- New toolbar design

Module of MATHEMATICS

- Added new subtopics in "Natural numbers" topic:
  -- Simplifying powers of natural numbers I
  -- Simplifying powers of natural numbers II

- Added new subtopics in "Integer numbers" topic:
  -- Simplifying powers of integers numbers I. Positive exponents
  -- Simplifying powers of integers numbers II. Negative exponents

- Added new subtopics in "Rational numbers" topic:
  -- Multiplication and division with fractions
  -- Simplifying powers of integers numbers II. Negative exponents
  -- Simplifying powers of rational numbers I
  -- Simplifying powers of rational numbers II

- Added new subtopics in "Powers and roots" topic:
  -- Simplifying powers of integers numbers I. Positive exponents
  -- Simplifying powers of integers numbers II. Negative exponents

- Added new topic "Proportions and percentages"

- Added new subtopics in "Proportions and percentages" topic:
  -- Finding an unknown quantity in a proportion

- Added new topics:
  --  "Polynomials"
  --  "Algebraic fractions"

- Added new subtopics in "Polynomials" topic:
  -- Square binomials and difference of two squares

- Added 5 new equations in "Logarithmic equations" subtopic. ("Exponentials and logarithms" and "Equations. Other types" topics).

- Added new subtopics in "Equations. Other types" topic:
  -- Equations involving roots (2 square roots)
  -- Trigonometric equations

- Added new topics:
  -- Basic geometry I. Plane shapes
  -- Basic geometry II. Solid shapes

- Added new subtopics in "Basic geometry I. Plane shapes" topic:
  -- Similarity I. Ratios of lengths
  -- Similarity II. Ratios of areas

- Added new topic "Conic sections"

- Added new subtopics in "Descriptive statistics" topic:
  -- One-variable statistics: Ungrouped data (I)
  -- One-variable statistics: Grouped data (I)
  -- One-variable statistics: Grouped data (II)


Module of CHEMISTRY

- Added new topics:
  -- Organic nomenclature. Hydrocarbons
  -- Organic nomenclature. Oxygen-containing
  -- Organic nomenclature. Nitrogen-containing

- Added new subtopics in "Organic nomenclature. Oxygen-containing" topic:
  -- D: Alcohols
  -- N: Alcohols
  -- D: Ketones
  -- N: Ketones
  -- D: Aldehydes
  -- N: Aldehydes
  -- D: Ethers
  -- N: Ethers
  -- D: Phenols
  -- N: Phenols
  -- D: Acids
  -- N: Acids
  -- D: Esters
  -- N: Esters
  -- D: Multiple oxygen functional groups
  -- N: Multiple oxygen functional groups

- Added new subtopics in "Nitrogen-containing" topic:
  -- D: Amines
  -- N: Amines
  -- D: Amides
  -- N: Amides
  -- D: Nitriles
  -- N: Nitriles
  -- D: Nitro compounds
  -- N: Nitro compounds
  -- D: Multiple nitrogen (oxygen) functional groups
  -- N: Multiple nitrogen (oxygen) functional groups