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Transcript
CPlanGRC 001.doc
KING ABDUL AZIZ UNIVERSITY
Jeddah Community College
COURSE PLAN
GRC 001
CONTENT

INSTRUCTOR’S DETAILS

COURSE SCHEDULE

SYNOPSIS

LEARNING OUTCOMES

COURSE OUTLINE

ASSESSMENT BREAKDOWN & POLICY

ATTENDANCE POLICY

REFERENCES
INSTRUCTO R’ S DETAILS
Name: jabr aljedani, (Course Coordinator)
Office: 2nd Floor, Jeddah Community College.
Telephone No: 2870026 Extn. 305
E-mail: jaljedani@hotmail .com
COURSE SCHEDULE
GRC 001 Group (1M)
Day
Time
S.MTW…
8:00-8:50
Room
111B
SYNOPSIS
This course studies The real number system, Integer and Rational number exponents, Polynomials,
Factoring, Rational expressions, Linear and absolute value equations, Formulas and applications, Quadratic
equations, Other types of equations, Inequalities, A two dimensional coordinate system and graphs, Functions
and their graphs, Linear functions, Quadratic functions, Properties of graphs, Basics of statistics.
This course will help prepare the student for an increasingly technical society and GRC 002
Mathematics Course.
LEARNING OUTCO MES
This course will address the following Student Ability, as being important for personal development:
King AbdulAziz University
Course Plan
1. Problem Solving - Problem solving is the process of identifying an obstacle or dilemma, using critical thinking
strategies and decision making skills, and applying appropriate measures needed to overcome or resolve the
obstacle or dilemma.
2. In this course, students will learn to analyze problems and develop
strategies to solve them. Students
will learn not only how to solve equations and inequalities, but also they will learn how to translate problems
into equations that can be solved.
COURSE OUTLINE
Section
Number
P.1
Topics
Hrs
6
THE REAL NUMBER SYSTEM
Demonstrate knowledge and usage of sets of
a)Natural numbers
b) Whole numbers
c) Integers
d) Rational numbers
e) Irrational numbers
f) Real numbers
g) Prime numbers
h)Composite numbers
Demonstrate knowledge and usage of
a) Sets
b) Union of sets c) Intersection of sets
d) Finite sets
e)Infinite sets
f)Null set
g)Set builder notation
h) List notation
i) Absolute value and distance
j) Interval Notation k)Order of Operations
Evaluate and simplify a variable expression ,Identify Properties of Real numbers
P.2
4
INTEGER AND RATIONAL NUMBER EXPONENTS
1. Demonstrate knowledge and usage of
a) Properties of Exponents
b) Rational exponents and radicals
2. Express a given number into Scientific Notation and vice versa, Simplify an
Expression Using Scientific Notation
3. Simplify Radical Expressions, Simplify Combined Radical Expressions, Multiply
Radical Expressions etc.
P.3
3
POLYNOMIALS
1.Identify different terms in the polynomial, Add polynomials, Multiply polynomials
2.Apply and use the following formulae
a)
b)
c)
3.Evaluate a polynomial
P.4
6
FACTORING
1.Find and factor out Greatest Common Factor
2.Factor a trinomial of the form
a)
b)
3.Factor the difference of squares, Factor a perfect square trinomial, Factor the sum
or difference of cubes, Factor by grouping, General factoring
P.5
1.
2.
3.
4.
5.
1.1
6
RATIONAL EXPRESSIONS
Simplify a rational expression
Divide a rational expression
Determine the LCD of rational expressions
Add and Subtract rational expressions
Simplify complex fractions
Review1
LINEAR AND ABSOLUTE VALUE EQUATIONS
3
Solve a linear equation of single variable by clearing fractions and applying
properties, Solve an absolute value equation
1.2
1
FORMULAS AND APPLICATIONS
Jeddah Community College
-2-
GRC001
King AbdulAziz University
Course Plan
Solve a formula for a specified variable
1.3
4
QUADRATIC EQUATIONS
1.Solve a quadratic equation by factoring
2.Solve a quadratic equation by taking square roots
3. Solve a quadratic equation by using quadratic formula
1.4
2
OTHER TYPES OF EQUATIONS
1.Solve a polynomial equation by factoring
2.Solve rational equations
3.Solve Radical equations
4.Solve the equations that are quadratic in Form .
1.5
2
INEQUALITIES
1.Solve linear inequalities
2.Solve compound inequalities
3.Solve absolute value inequalities
2.1
3
A TWO DIMENSIONAL COORDINATE SYSTEM AND GRAPHS
1. Demonstrate knowledge and usage of Cartesian Coordinate system
2. Find the midpoint and length of a line segment
3. Draw a graph by plotting points
4. Find x and y -intercepts
2.2
3
FUNCTIONS.
1. Evaluate functions
2. Graph a function by plotting points
3. Demonstrate knowledge and usage of vertical line test
4. Find domain of functions
5. Identify whether a set of ordered pairs is a function
2.3
3
LINEAR FUNCTIONS
1. Find the Slope of a line
2. Graph a linear function
3. Find the equation of a line using slope and y-intercept, using point-slope formula,
using two point formula
4. Demonstrate knowledge and usage of real solutions and x-intercepts theorem
2.4
4
QUADRATIC FUNCTIONS
1.Differentiate between Quadratic, Cubic and Quadratic functions
2.Find the standard form of a quadratic function by direct method/Using completing
the square method
3.Find the vertex and axis of the graph of the quadratic function
4.Draw the graph of quadratic function using the standard form
2.5
2
PROPERTIES OF GRAPHS
1. Determine symmetries of a graph ( With respect to origin , x-axis or(and) y-axis)
2. Determine whether a given function is either even ,odd or neither
3.1
6
SOME BASICS OF STATISTICS
1.Definition of some statistical terms as average, mean, median, mode, frequency,
standard deviation, ….etc.
2.Accuracy and error calculation
Review2
Total
52
WEEKLY PLAN
Dates
Week
Chapter
Jeddah Community College
Topic
-3-
Assignments
Remarks:
Submission Deadline for
Assignments
GRC001
King AbdulAziz University
Course Plan
25/10 –
1
P
The real number system
2/11–
2
P
Evaluate and simplify a variable
expression ,Identify Properties of Real
numbers
9/11 –
3
P
Integer and rational number exponents
16/11 –
4
P
Polynomials
23/11 –
5
P
Rational expressions
1/12 –
6
P
Rational expressions
& Revision
15/12 –
7
1
Linear and absolute value equations
& Formulas and applications
22/12 –
8
1
Quadratic equations
29/12 –
9
1
Other types of equations
7/1 –
10
1
Inequalities
14/1 –
11
2
A two dimensional coordinate system
and graphs
& Functions
21/1 –
12
2
Linear functions
& Quadratic functions
28/1 –
13
2&3
Properties of graphs
& Some basics of statistics
5/2 –
14
3
Some basics of statistics
26/2 –
15
Assignment 1
Forum 1
Forum 2
Forum 2 due 15/12
Assignment 2
Assignment 1 due 29/12
Forum 3
Forum 4
REVISION
3/3-
Forum 2 due 23/11
Assignment 2 &
Forum 3 due 23/2
Forum 4 due 30/2
FINAL EXAMINATION
ASSESSMENT BREAKDOWN & POLICY
Students’ assessments in this course are based on the following:
1)
Carry Marks
Jeddah Community College
-4-
GRC001
King AbdulAziz University
Course Plan

Assignments

Mid-Semester Examinations
5%
First Mid-Semester Examination
25%
Second Mid-Semester Examination 25%

2)
Quizzes
5%
Final Examination
40%
Total
100 %
A T T E N D A N C E POLICY
Attendance is mandatory. Instructor is required to keep attendance records and report absences. Due to the
interactive nature of this course, attendance is an essential part of the educational experience. JCC expects
students to exercise good judgment regarding attendance. Students accept full responsibility for ensuring that
work does not suffer from absence. All students are expected to attend every scheduled class on time.
Exceptions may be made for work related activities, illness or valid emergency situation.
If a student’s attendance is less than 80%, he/she may not be allowed to sit for the final examination.
Punctuality is important. The instructor may not allow student(s) to enter the classroom if he/she is a habitual
latecomer.
REFERENCES
Main Reference
R.N. Rufmann, V.C.Barker and R.D.Nation,"College Algebra and Trigonometry", 7th. Edition,
Houghton Mifflin Company, 2011.
Other Books
1. M. L. Lial, J. Hornby and D. I. Schneider, “College Algebra and Trigonometry”, (Third
edition),PearsonEducationInc.,2005.
2. M. Dugopolski, “College Algebra”, (Third edition), Pearson Education Inc., 2003.
Jeddah Community College
-5-
GRC001