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مقدمة في الرياضيات(1)

Chapter1: Review of Basic Concepts

1.1Sets درس مجاني !

Set definition: union, intersection, belong, subset.

1.2Real Numbers and their properties درس مجاني !

Set of numbers – real (number) line

Order of Operations

Properties of real numbers

order on the number line – absolute value

1.3Polynomials درس مجاني !

Rules of Exponents

Polynomials- Addition and subtraction

1.4Factoring polynomials درس مجاني !

Greatest common factor – factoring by grouping

factoring trinomials – factoring binomials – factoring by substitution

1.5Rational Expressions درس مجاني !

Rational expressions – Lowest term

multiplication and division – addition and subtraction – complex fractions

1.6rational exponents درس مجاني !

Negative Exponent and quotient rule and rational exponents

Radical Notations – Simplified radicals

1.7Radical Expressions درس مجاني !

Radical Notations – Simplified radicals

Operations with radicals – Rationlizing denominators

Test Prep درس مجاني !

Chapter2: Equations and Inequalities

2.1Linear Equations

Basic Terminology – Solving Linear Equations

Identities – conditionals and contradictions – Solving for a specified variable

2.2Quadratic Equations

Solving quadratic equation

Completing square – quadratic formula

solving for specified variable – discriminant

2.3Inequalities

Linear inequality – three part inequality

quadratic inequality

rational inequality

2.4Absolute Value Equations and Inequalities

Basic Concepts – Absolute value equations

absolute value Inequality – special cases

Chapter3: Graphs and Functions

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

3.2Linear Functions

Graphing Linear Function

Standard form – slope

average rate of change – linear models

3.3Equations of Lines and Linear Models

Point-slope form

slope – intercept form

vertical and horizontal lines – parallel and perpendicular lines

3.4Graphs of Basic Functions

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

3.5Graphing Techniques

streching and shrinking -reflecting

symmetry – even and odd functions

3.6Function Operations and Composition

arithmetic operations on functions

The difference quotient

composition of functions

Chapter4: Polynomial and Rational Functions

Conic sections – Horizontal Parabolas

Geometric definition and equations of parabolas

application of parabolas

4.2Quadratic Functions and Models

quadratic functions

graphing techniques – completing the square

quadratic models

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set operations

مقدمة في الرياضيات(1)
1.1Sets
set operations

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