Matrix algebra
Matricial equations: type AX+B=C
<R> Systems of 2×2 matricial linear equations
<R> Determinant and inverse matrix with a parameter
Discuss and solve system of 3×3 linear equations (without parameter)
<R> Discuss and solve system of 3×3 linear equations (with parameter)
Equations
Linear equations with integer coefficients
Linear equations with rational coefficients
<R> Word problems involving a linear equation
Incomplete quadratic equations
Complete quadratic equations
<R> Quadratic equations with constant in the denominator
<R> Quadratic equations with x as denominator
<R> Biquadratic equations
<R> Equations involving roots
<R> Exponential equations
<R> Logarithmic equations
<R> Trigonometric equations
Inequalities
Linear inequalities in 1 variable with integer coefficients
Linear inequalities in 1 variable with rational coefficients
<R> Inequalities in 2 variables
<R> Systems of 2 linear Inequalities in 2 variables
Systems of linear equations
Systems of 2×2 linear equations
<R> Systems of 3×3 linear equations
Systems of non-linear equations
<R> Systems of 2×2 equations (linear and quadratic)
Space analytical geometry
Vectors
Plane calculations
<R> Line calculations
<R> Alignment, coplanarity and distance of points
<R> Relative position of planes and lines (without parameter)
<R> Relative position of planes and lines (with parameter)
<R> Relative position of two lines (without parameters)
<R> Relative position of two lines (with parameters)
Limits
Limits involving rational functions
<R> Limits involving roots
<R> Limits involving subtraction of roots
<R> Limits of powers involving the number e
Functions and derivatives
Domain of a function I
Domain of a function II
<R> Inverse functions
<R> Function composition I
<R> Function composition II
<R> Derivative of functions I: without using the Chain rule
<R> Derivative of functions II: without using the Chain rule
<R> Derivative of functions III: using the Chain rule
<R> Derivative of functions IV: using the Chain rule
<R> Derivative of functions V: using the Generalized power rule
Tangent line to a curve at a point
Normal line to a curve at a point
<R> Finding polynomial functions involving derivatives
<R> Asymptotes I: Vertical
<R> Asymptotes II: Horizontal
<R> Asymptotes III: Oblique
<R> Asymptotes IV: Vertical, horizontal and oblique
<R> Maxima and minima of a function
<R> Monotonicity and extrema
<R> Inflection points of a function
<R> Concavity/convexity and inflection points
<R> Continuity I: Piecewise functions (without parameters)
<R> Continuity II: Piecewise functions (with 1 parameter)
<R> Continuity III: Piecewise functions (with 2 parameters)
<R> Derivability I: Without parameter
<R> Derivability II: With parameters
<R> Analyze function using the graph of its derivative (I)
<R> Analyze function using the graph of its derivative (II)
<R> Optimization
Indefinite integrals
Integration by direct method
<R> Integration by substitution
<R> Integration by parts I
<R> Integration by parts II
<R> Integration by parts III
Integrals of rational functions I
<R> Integrals of rational functions II
Definite integrals
<R> Area calculation involving one function
<R> Area calculation involving two functions
<R> Parameters calculation using definite integrals
<R> Find function by integration of its first derivative
<R> Find function by integration of its second derivative
Polynomials and algebraic fractions
Addition and subtraction of polynomials
<R> Multiplication and power of binomials
<R> Factoring polynomials
<R> Division of polynomials
<R> Division of polynomials involving parameters
<R> Algebraic fractions I: Simplifying algebraic fractions
<R> Algebraic fractions II: Multiplications and divisions
<R> Algebraic fractions III: Additions and subtractions
Statistics and probability
Single variable statistics for ungrouped data
<R> Single variable statistics for grouped data
<R> Two variable statistics: Linear regression analysis
<R> Normal distribution
Complex numbers
Adding and subtracting complex numbers
Multiplying and dividing complex numbers in cartesian form
Cartesian-polar conversions
Multiplying and dividing complex numbers in polar form
<R> Powers of complex numbers
<R> Root extraction of complex numbers
<R> Calculation of a parameter
Basic geometry
Pythagorean theorem I
<R> Pythagorean theorem II
Similarity
<R> Plane shapes I: straight line segments
<R> Plane shapes II: straight line segments
<R> Plane shapes III: curved line segments
<R> Plane shapes IV: curved line segments
<R> Solid shapes I: plane surfaces
<R> Solid shapes II: plane surfaces
<R> Solid shapes III: curved surfaces
<R> Solid shapes IV: curved surfaces
Trigonometry
Trigonometric values from another one
<R> Trigonometric values from two other known
<R> Trigonometric identities
<R> Trigonometric equations
<R> Solving triangles
<R> Solving plane shapes.
Plane analytical geometry
Vectors I
<R> Vectors II
<R> Lines I
<R> Lines II
<R> Conics I: Circle
<R> Conics II: Ellipse
<R> Conics III: Hyperbola
<R> Conics IV: Parabola
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Natural numbers
Addition and subtraction of natural numbers
Multiplication of natural numbers
Division of natural numbers
Rounding natural numbers
Expanding natural numbers in powers of 10
Repeated multiplications as powers
Powers as repeated multiplications
Finding set of divisors of a number
Prime factorization of a number
Converting numbers between scientific and normal notation
Lcm and gcm of natural numbers
Integer numbers
Addition and subtraction of integer numbers
Multiplication and division of integer numbers
Decimal numbers
Addition and subtraction of decimal numbers
Multiplication of decimal numbers
Division of decimal numbers
Rational numbers
Fraction of shaded shapes (I)
Fraction of shaded shapes (II)
Simplifying fractions
Sorting fractions
Addition and subtraction of fractions
Addition, subtraction, multiplication and division with fractions
Converting decimal numbers to fractions
Topics and types of problems / exercises
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Mathematics - Worksheet Generator
Real numbers
<R> Intervals I
<R> Intervals II
<R> Intervals III
<R> Intervals IV
Rounding real numbers
Convert from normal notation into scientific notation
Convert from scientific notation into normal notation
Addition and subtraction in scientific notation
Multiplication and division in scientific notation
Unit conversions
Mass conversion
Length conversion
Area conversion I
<R> Area conversion II: Square meter and hectare
<R> Volume conversion I: (Cubic meter)
<R> Volume conversion II (Litre)
<R> Volume conversion III (Cubic meter and litre)
Angle calculations
Adding angle measures
Subtracting angle measures
Multiplying angle measures
Dividing angle measures
Complementary and supplementary angle calculation
Angle calculation in triangles and other shapes
Powers and roots
Simplifying powers of natural numbers
Simplifying powers of rational numbers
Rationalization I: (square roots)
Rationalization II: (with n-th roots)
Addition and subtraction of square roots
Simplifying n-th roots
Percentages
Percentages: Direct calculations
Graphing functions
Basic I: Linear
Basic II: Quadratic
<R> Basic III: Exponential (non base e)
<R> Basic IV: Exponential (base e)
<R> Basic V: Logarithmic
<R> Basic VI: Simple rational
<R> Basic VII: Square root
<R> Advanced I: Cubic polynomial
<R> Advanced II: Rational
<R> Advanced III: Exponential
<R> Advanced IV: Logarithmic
MATHEMATICS
Secondary / Primary
K-12 / High School
- Graphing functions
- Matrix algebra
- Equations and inequalities
- Systems of equations
- Statistics and probability
- Basic geometry for
plane and spatial shapes
- Trigonometry
- Plane analytic geometry
- Space analytic geometry
- Limits, derivatives
- Maxima and minima
- Monotonicity
- Inflection points
- Concavity / convexity
- Inverse functions
- Composite functions
- Tangent and normal lines
- Continuity and derivability
- Indefinite integrals
- Definite integrals
- Numbers calculation
- Complex numbers
- Angles and polynomials
- Unit conversions
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