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محتوى الدورة

Chapter1: Review of Basic Concepts

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Set definition: union, intersection, belong, subset.

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Set of numbers – real (number) line

Order of Operations

Properties of real numbers

order on the number line – absolute value

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Rules of Exponents

Polynomials- Addition and subtraction

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Greatest common factor – factoring by grouping

factoring trinomials – factoring binomials – factoring by substitution

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Rational expressions – Lowest term

multiplication and division – addition and subtraction – complex fractions

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Negative Exponent and quotient rule and rational exponents

Radical Notations – Simplified radicals

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Radical Notations – Simplified radicals

Operations with radicals – Rationlizing denominators

Chapter2: Equations and Inequalities

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Basic Terminology – Solving Linear Equations

Identities – conditionals and contradictions – Solving for a specified variable

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Solving quadratic equation

Completing square – quadratic formula

solving for specified variable – discriminant

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Linear inequality – three part inequality

quadratic inequality

rational inequality

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Basic Concepts – Absolute value equations

absolute value Inequality – special cases

Chapter3: Graphs and Functions

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Reltaions and functions – determining wether relations are functions

Domain and range exercises Part (1)

Domain and range exercises Part (2)

function notation

increasing, decreasing and constant functions

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Graphing Linear Function

Standard form – slope

average rate of change – linear models

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Point-slope form

slope – intercept form

vertical and horizontal lines – parallel and perpendicular lines

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The identity, squaring, and cubing functions – square root and cube root function – absolute value functions – relation x = y^2 – piecewise defined functions

greatest integer functions

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streching and shrinking -reflecting

symmetry – even and odd functions

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arithmetic operations on functions

The difference quotient

composition of functions

Chapter4: Polynomial and Rational Functions

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Conic sections – Horizontal Parabolas

Geometric definition and equations of parabolas

application of parabolas

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