Chapters โ Full Course
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Numbers & Operations
Natural, integer, rational, irrational and complex numbers. Basic operations and their properties.
Algebraic Expressions
Polynomials, factorization, algebraic fractions. Abbreviated multiplication formulas.
Equations & Inequalities
Linear, quadratic, higher-degree equations. Systems. Linear and quadratic inequalities.
Functions & Graphs
Function concept, domain, codomain. Linear, quadratic, power, rational functions and their graphs.
Exponential & Logarithmic Functions
Exponential function and equation. Logarithm, its properties. Logarithmic equations and inequalities.
Plane Geometry
Triangle, quadrilateral, circle. Angles, parallel lines. Fundamentals of Euclidean geometry.
Solid Geometry
Plane in space, prism, pyramid, cylinder, cone, sphere. Volume and surface area.
Trigonometry
Trigonometric functions, their graphs. Basic formulas. Trigonometric equations.
Sequences & Series
Arithmetic and geometric progressions. General term and sum of series. Infinite geometric series.
Introduction to Calculus
Limit, continuity, derivative. Differentiation rules. Function analysis. Integral โ area.
Combinatorics & Probability
Permutation, combination, arrangement. Probability concept, classical definition. Conditional probability.
Statistics
Data collection and representation. Mean, median, mode. Dispersion, variance, standard deviation.
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