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 of 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
Inequations
Linear inequations with integer coefficients
Linear inequations with rational coefficients
Systems of equations
Systems of 2×2 linear equations
<R> Systems of 3×3 linear equations
<R> Systems of 2×2 equations (linear and quadratic)
Analytic geometry of the space
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
<R> Derivative of functions (I)
<R> Derivative of functions (II)
Tangent and normal lines to a curve at a point
<R> Finding polynomial functions involving derivatives
<R> Maximums and minimums of a function
<R> Continuity of a function
<R> Derivability of a function
Indefinite integrals
Integrals of rational functions (I)
<R> Integrals of rational functions (II)
<R> Integration by substitution or direct methods
<R> Integration by parts
Definite integrals
<R> Area calculation involving one function
<R> Area calculation involving two functions and/or parameters
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: Simplifying algebraic fractions
<R> Algebraic fractions III: Simplifying algebraic fractions
Statistic and probability
Single variable statistic for ungrouped data
<R> Single variable statistic for grouped data
<R> Two variable statistic: 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
Natural numbers
Addition and subtraction of natural numbers
Multiplication of natural numbers
Division of natural numbers
Lcm and gcm of natural numbers
Integer numbers
Addition and subtraction of integer numbers
Multiplication and division of integer numbers
Rational numbers
Addition and subtraction of fractions
Addition, subtraction, multiplication and division with fractions
Converting decimal numbers to fractions
Decimal numbers
Addition and subtraction of decimal numbers
Multiplication of decimal numbers
Division of decimal numbers
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
Basic geometry
Pythagorean theorem
Similarity
<R> Plane shapes (straight line segments)
<R> Plane shapes (curved line segments)
<R> Spatial shapes (plane surfaces)
<R> Spatial shapes (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
Topics and types of problems / exercises
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Free to try - 69 $ / 49 € to buy
- Tangent and normal line
- Polynomials
- Equations, inequations
- Systems of equations
- Analytic Geometry of the Space
- Natural numbers
- Integer numbers
- Gcm and Lcm calculation
- Complex numbers
- Angle calculations
- Limit, continuity and domain
- Maximums and minimums
- Indefinite Integral
- Algebra: matrix, determinant
- System of equations
- Definite Integral
- Area calculation
- Plane Analytical Geometry
- Basic Geometry
- Statistic and Probability
- Trigonometry
- Rational numbers
- Derivative and derivability
STATOOL - Statistic and probability tools
- Hypothesis testing - Confidence interval estimation - Statistic of 1 and 2 variables
- 5 curves regression - Histogram and bar charts - Total Probability Law and Bayes' Theorem.
- Probability distributions: Normal, binomial, t-Student, Poisson, chi-Square, F-Snedecor.
Win Titration - Acid / base titration calculator
- Strong and weak acid-base titrations (4 types).
- pH vs. volume titration curve and data table.
- 27 indicators (color changes according to the pH values).
ABEW - Acid-base equilibrium for Windows
- Acid, base, mixtures of acid+base, strong and weak acid/base
- Monoprotic, diprotic, triprotic acids - Buffer solutions - Salt hydrolysis.
- 26 types of graphics (8 pH vs. volume curves for titrations) - Each graph has its own data table.
McCabe - Thiele - Number of theoretical plates for distillation towers
- 2 ways for Vapor-Liquid equilibrium: Relative volatility or data table.
- McCabe-Thiele diagram - Full report - Equations of operational lines and q-line.
- Interactive McCabe-Thiele diagram to enter values and modify operational lines.
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MATHEMATICS
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- Algebra
- Equations and inequations
- Systems of equations
- Statistic and probability
- Basic geometry for
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- Trigonometry
- Analytic geometry of the
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- Limits, derivatives
- Maximums and minimums
- Tangent and normal lines
- Indefinite integrals
- Definite integrals
- Numbers calculation
- Complex numbers
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