Math theory - definitions, formulas, theorems

The database of the EMTeachline Mathematics Software contains approximately 5 000 000 of math problems. Math problems are graded in 11 difficulty classes and cover all skill levels from basic through advanced. The software modules are organized by subject. Covered subject areas are Arithmetic, Pre-algebra, Algebra I and II, Trigonometry and Hyperbolic Trigonometry. The Arithmetic and Pre-Algebra modules offer tasks on simplification and evaluation of numeric expressions, including fractional expressions, computational problems, proofs of numeric equalities. The Algebra modules offer simplification and evaluation problems, proofs of algebraic identities and inequalities, solutions of algebraic equations and inequalities; included are linear, quadratic, cubic, reciprocal, biquadratic and fractional expressions. The Trigonometry and Hyperbolic Trigonometry modules offer simplification and evaluation problems, proofs of trigonometric and hyperbolic identities, and solutions of trigonometric and hyperbolic equations; included are all the basic and inverse trigonometric and hyperbolic functions. All problems are solved or proved in full detail. Each module allows employing the database for development of math tests, quizzes, exams, revision exercises and homeworks. Currently available themes, chapters and sections, together with those in preparation, are listed below. Our free online demos allow viewing math examples online.

• Theorems and formulas related to algebraic structure.Theoretical identities

• Theorems and formulas related to algebraic structure.Definitions and axioms

• Theorems and formulas related to algebraic structure.Fractions

• Theorems and formulas related to algebraic structure.Formulas of short multiplication

• Theorems and formulas related to algebraic structure.Quadratic trinomial

• Theorems and formulas related to algebraic structure.Solutions of rational elementary equations

• Powers.Natural and integer powers

• Powers.Roots

• Powers.Fractional powers

• Powers.Real powers

• Exponential and logarithmic function.Identities related with exponential function

• Exponential and logarithmic function.Identities related with logarithmic function

• Trigonometric functions.Definitions. The main trigonometric identity and conclusions from it

• Trigonometric functions.Values of trigonometric functions

• Trigonometric functions.Reduction formulas

• Trigonometric functions.Addition formulas. Formulas of sum. Multiplication formulas

• Trigonometric functions.Evenness and period

• Trigonometric functions.Formulas of multiple argument. Formulas of depression

• Trigonometric functions.Formulas of half-argument

• Trigonometric functions.Universal trigonometric substitution

• Trigonometric functions.Expression of trigonometric functions through each other

• Trigonometric functions.Formula of shift of argument

• Trigonometric functions.Solution formulas of elementary trigonometric equations

• Trigonometric functions.Inverse trigonometric functions

• Trigonometric functions.Expression of inverse trigonometric functions through each other

• Hyperbolic functions.Definitions. The main hyperbolic identity and conclusions from it

• Hyperbolic functions.Addition formulas. Formulas of sum. Multiplication formulas

• Hyperbolic functions.Evenness

• Hyperbolic functions.Formulas of multiple argument. Formulas of depression

• Hyperbolic functions.Formulas of half-argument

• Hyperbolic functions.Universal hyperbolic substitution

• Hyperbolic functions.Expression of hyperbolic functions through each other

• Hyperbolic functions.Formula of shift of argument

• Hyperbolic functions.Solution formulas of elementary hyperbolic equations

• Inequalities.Properties of inequalities

• Inequalities.Common inequalities

• Equations.Properties of equations