Download Final Suggested syllabus of Math Course GRC001

Course: GRC001
Course Title: Preparatory Mathematics I
Institution: Jeddah Community College
Department: General Required Courses (GRC) Dept.
Course Objectives:
Students when completing this course, they will be able to:
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Identify the properties of real numbers.
Perform order of operations when working with sets of real numbers.
Evaluate arithmetic expressions involving exponents and roots.
Define and perform operations on polynomials.
Simplify radical and exponential expressions.
Use radical and rational expressions to solve applied problems.
Solve linear equations and related applied problems.
Select and use appropriate formulas in solving practical applications.
Graph linear equations with 2 variables.
How to solve quadratic equations.
How to solve linear, quadratic, absolute value and rational
inequalities.
 Deal with functions, their domains and ranges, focusing on linear and
quadratic functions.
 Graph relations and functions.
 Use appropriate technology in solving problems.
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Course Description:
This course is designed to strengthen basic math skills. Topics include real
number system, sets and their representation, intervals, absolute values,
exponents, radicals,
quadratic polynomial factoring. It includes also
solving linear, quadratic, radical, absolute value equations and inequalities.
Moreover, function concept, linear and quadratic functions, graph of
functions, polynomial and rational functions are studied. This is besides
learning the basic ideas in probability theory. Upon the course completion,
students should be able to perform basic computations and apply the
concepts learned in problem solving using appropriate technology.
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Syllabus of Math Course GRC001
Topics
P.1 The real number
system
p.2 Integer and
rational number
exponents
p.3 Polynomials
p.4 Factoring
p.5 Rational
expressions
1.1
Linear and
absolute value
equations
Details
● Sets
● The sets of real numbers
● Set builder notation
● Union and intersection of sets
● Absolute value and distance
● Interval notation
● Definition & evaluation of exponential expression
● Order of operations agreement
● Simplifying variable expressions
● Properties of real numbers
● Properties of equality
●Properties of exponents
● Simplifying exponential expressions
● Decimal and Scientific Notations
●Rational exponents and radicals
● Properties of radicals
●Simplifying radical expressions
●Operations on polynomials
● Special product formulas
●Greatest Common Factor
● Factoring trinomials
● Factorization theorem
●Special factoring (difference of squares, perfect
square trinomials, sum or difference of cubes)
● Definition & properties of rational expressions
● Simplifying rational expressions
● Operations on rational expressions
● Determining the L.C.D of rational expressions
● Complex rational expressions & their simplification
● Ratio and proportion
● Percentage
●Linear equations & their solutions
●Absolute value equations & their solution
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No. of
Hours
6
4
3
4
4
3
1.2 Formulas and
applications
1.3 Quadratic
equations
●Formulas and applications
● Definition of a quadratic equation
● The zero product principle
● Solving quadratic equation by factoring,
● Solving them by taking square roots
● Solving them using quadratic formula
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1.4 Other types of
equations
●Polynomial equations
●Rational equations
● Radical equations
●Equations in quadratic form
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1.5 Inequalities
●Properties of inequalities
● Solving linear inequalities
●Compound inequalities
●Absolute value inequalities
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Chapter 2 : Functions & Graphs
2.1Two- dimensional
coordinate system
and graphs
2.2 Introduction to
functions
2.3 Linear functions
2.4 Quadratic
functions
2.5 Properties of
graphs
●Cartesian co-ordinate systems
●The distance and midpoint formulas
●Graph of an equation
● x and y intercepts
●Relations, functions and functional notation
● Domain and range of functions
●Graphs of functions
● Definition of a linear function
● Slopes of lines
● The equation and graph of a linear function
● Finding the equation of a straight line
● Parallel & perpendicular lines
●Definition of a quadratic function
●Standard form of quadratic functions
●Vertex, maximum & minimum of a quadratic
function (parabola)
●Symmetry
●Even and odd functions
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3
3
3
2
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