Basic Math

Algebra, precalculus and calculus for college and university (candidate) students. Contains topics ranging from numbers to differentiation and integration.

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Course content

Numbers

Integers

Negative numbers

Fractions

Powers and roots

Ratios

Algebra

Variables

Calculating with exponents and roots

Expanding brackets

Factorization

Notable Products

Adding and subtracting fractions

Linear formulas and equations

Formulas

Linear functions

Linear equations and inequalities

Systems of linear equations

An equation of a line

Two equations with two unknowns

Quadratic equations

Parabola

Solving quadratic equations

Drawing parabolas

Intersection points of parabolas

Quadratic inequalities

Functions

Domain and range

Power functions

Higher degree polynomials

Power functions and root functions

Fractional functions

Exponential functions and logarithms

Exponential functions

Logarithmic functions

The base e and the natural logarithm

Trigonometry

Angles with sine, cosine and tangent

Trigonometric functions

Differentiation

The derivative

The derivative of power functions

Sum and product rule

Chain rule

The derivative of standard functions

Quotient rule

Mixed exercises differentiation

Applications of derivatives

Geometry

Lines

Circles

Parametric curves

Integration

Antiderivatives

The definite integral

Integration techniques

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