Qatar University
The Foundation Program
Department of Math & Computer
Foundation Mathematics III - Math003
Fall 2011
Faculty Information:
Instructor’s Name:
Group Number:
Office:
Class Schedule:
Work Phone:
Office Hours:
E-mail:
Room:
Website:
th
Textbook: Algebra & Trigonometry, 9 Edition, Michael Sullivan, Pearson Prentice Hall
http://catalogue.pearsoned.co.uk/educator/product/Algebra-and-Trigonometry-InternationalEdition/9780321761224.page
Blackboard Address: Math003 will be delivered using Blackboard course management software.
http://mybb.qu.edu.qa/
Course Description: This course is the first half of preparatory course for students who wish to
register for a Calculus course. The course will start with a quick review of the essentials of Basic
Mathematics. Then we move on to basic operations on polynomials followed by basic operations on
rational expressions. Having done this, we look into techniques for solving quadratic equations. The
study of linear equations and inequalities is presented right after this. Absolute value in equations and
inequalities are also studied. Finally, we finish by introducing the equations of line.
Course Objectives: Math003 offers to students the opportunity to gain deeper understanding of
algebraic relationships and processes as well as new and improved algebraic skills. Students who
successfully complete the course will have the algebraic skills necessary for further study of
mathematics and for applications of algebraic techniques in other fields. In addition, the course
promotes to students independent and collaborative learning.
Learning Outcomes:
Upon successful completion of this course students will be able to:
Perform basic operation on rational functions and radicals.
Solve equations involving radicals, absolute values and quadratics.
Solve linear and quadratic word problems.
Describe various forms of equations of a line including the concept of slope.
Demonstrate the use of graphing techniques for linear equations.
Apply critical thinking strategies in various contexts.
Use technologies such as Black Board, webmail and the internet.
Work independently and collaboratively.
Evaluation Criteria (Grading):
There are several grades components, broken down as follows:
3 in-class
Quizzes
Class
Participation
Midterm exam
Mini Exams
Final Exam
6%
5%
30%
9%
50%
Additional
Attendance
Bonus
0 to 3 marks
Quizzes: There are 3 in-class quizzes and each quiz worth 2% of your final grade. All quizzes
will be counted and there will be NO makeup quizzes for absent students for any reason. The
quiz dates are fixed as follows:
Syllabus /Foundation Math III/ Fall 2011
Page 1 of 6
Qatar University
The Foundation Program
Department of Math & Computer
Quiz1
Week of Oct.9
Quiz2
th
Quiz3
th
Week of Oct.30
Week of Dec.11th
Mini Exams:
ME1
Week of Oct.16
ME2
th
Week of Oct.30
ME3
th
Week of Dec.18th
Please be notified that all Mini Exams will be counted. It is your responsibility to schedule your
mini-exam. Please refer to the separate mini-exams notice for more details.
(you should schedule your test time in advance)
Class Participation: This is NOT assigned for attendance but for active participation as
designed by your math teacher. More details will be provided later on regarding this part of
your grade by your math teacher.
Midterm Exam: The midterm exam will take place on Saturday November 26, 2011 –
Time and location will be announced later. This exam is worth 30% of your course grade.
Final Exam: The final exam will take place on Tuesday January 10, 2012 - Time and
location will be announced later. This exam is comprehensive and worth 50% of your course
grade.
Regulations:
►
Attendance is a very important factor in your performance and will be taken from the first day of
classes. Please note the following:
•
First day of classes is Sunday, September 25, 2011.
•
Last day of classes is Thursday, January 5, 2012.
•
Last day to withdraw from course is Thursday November 24, 2011.
•
Last day to withdraw from semester is Thursday December 8, 2011.
•
As Foundation Program mid-semester and final exams are announced well in advance, no
make-up mid-semester and final exams in Math and Computer are given to students in order
to take any certified exams (like IELTS, TOEFL, IC3, ACT, etc.) inside or outside Qatar
University.
•
University regulations state that student’s absence must not exceed 25% – This includes
absence for sickness, medical appointments … etc.
•
Students are expected to be punctual for every class and for all exams. Three late arrivals to
class will be counted as one hour absent. Note that a student who arrives late is one who
comes to class between 10 to 20 minutes after the scheduled start of the class. Any student
arriving after 20 minutes is considered absent.
•
Your teacher will send you a warning from his/her QU e-mail to your QU-email when your
absence rate gets close to 15% – This warning is considered official.
•
A student with absence rate exceeding 25%:
1) Will not be allowed to take the final exam, and if such a student shows up for the final
exam, his/her exam copy will not be graded.
2) Will however be allowed to attend the remaining sessions and even to take in class quizzes
and midterm exams.
3) Your teacher will send you a final notice from his/her QU e-mail to your QU-email when
your absence rate exceeds 25% – This notice is considered official.
Syllabus /Foundation Math III/ Fall 2011
Page 2 of 6
Qatar University
The Foundation Program
Department of Math & Computer
►
The University of Qatar implements the following grading system:
o
A
B+
B
C+
C
D+
D
F
90 –
85 – 89 80 – 84 75 – 79 70 – 74 65 – 69 60 – 64
0 – 59
100
F barred (FB) “‫ ”را وم‬is given to a student whose absence rate has exceeded 25%.
o
F absent (FA) “‫ ”را ب‬is given to a student whose absence rate is below 25%, but did not
show up for the final exam.
o
Incomplete (I) “" is given to a student whose absent rate is below 25% and has not
taken the final exam. This student must present an acceptable documented excuse to the
department in good time before the university deadline for recording the final course
results.
Attendance Bonus:
To encourage class attendance, student will earn a bonus mark for their attendance rates by the end
of the semester according to the following table:
Attendance Rate
Bonus mark
100%
From 96% but below 100%
From 92% but below 96%
Below 92%
3
2
1
0
Students with special needs:
Qatar University offers through its "Special needs Center" designated staff to assist students with
special needs throughout their time at the university. The students are provided with appropriate
services regarding their individual needs.
Male campus contact: 4403-3854
Female campus contact: 4403-3843
E-mail: [email protected]
Website: http://www.qu.edu.qa/students/services/special_needs/index.php
If you are a student with special needs please don’t hesitate contact the special needs center or the
Math & Computer Department for any assistant or inquires.
Academic Integrity Code:
By registering as a student at QU, all students acknowledge their awareness of the academic integrity
code and its procedures as stated in the QU Student Handbook.
QU expects its students to adopt and abide by the highest standards of conduct in their interaction
with their professors, peers, and the wider University community. As such, a student is expected not
to engage in behaviors that compromise his/her own integrity as well as that of QU. While the
University encourages its students to express themselves freely, this freedom is forfeited when it
infringes on the rights and respect of others. For full details about academic integrity and other related
issues, please refer to the QU student handbook at the following address:
http://www.qu.edu.qa/students/documents/handbook/undergraduate_student_handbook_20112012
_english.pdf
Syllabus /Foundation Math III/ Fall 2011
Page 3 of 6
Qatar University
The Foundation Program
Department of Math & Computer
Remark: The following list of homework is common to all groups. However, additional home works and
worksheets may be provided by your teacher.
Course Content Distribution:
Unit (1): Basic Algebraic Operations
Section R-0: Review of Basic Algebra
Estimated Time: 3 hrs
Section R-1: Real Numbers
Pages: 2 – 15
Estimated Time: 4 hrs
Objectives
Examples
1,2,3
Work with sets.
Classify Numbers.
Evaluate Numerical Expressions.
Work with properties of Real Numbers.
Section R-2: Algebra Essentials
Pages: 17 – 26
Homework
3,4,5,7,9,11,13,15,17,19
4,7
8,9,10
11-23
Objectives
Graph Inequalities and Find distance on the
Real Number Line.
Evaluate Algebraic Expressions
Determine the Domain of a Variable
Use Law of Exponents, Evaluate Square Roots.
21,22,23,24,25,26,39,41,43,45,47
51,55,57,59,61,65,67,73,79,81,83
87,89,91,93,97
Estimated Time: 4 hrs
Examples
1 ,2,3,4
Homework
7,8,11,15,17,21,23,25,27,29,31,33,37,
5
6
8,9,10,11,12
39,43,45,47,49,51,53,55,56
57,59,61,63,67
73-94 , 96-104
Section R-4: Polynomials
Pages: 39 – 47
Estimated Time: 4 hrs
Objectives
Recognize Monomials and Polynomials.
Add, Subtract and Multiply Polynomials.
Using Special Product Formulas.
Examples
1,2,3
4,5,6
7,8,9,10,11,15,16
Divide Polynomials Using Long Division.
12,13,14
Homework
1,4,5,7,9,11,14,16,17,19,20,21,23,26
27,29,31,35,37,39,43,45
47,49,51,55,59,63,65,67,69,71,75,79,85,87
89,93,95,97,99,101
Unit (2): Polynomials and Basic Operation
Section R-5: Factoring Polynomials:
Pages:49-56
Estimated Time: 4 hrs
Objectives
Identifying Common Monomial Factors.
Examples
1
3,5,7,9,11,13
Factor the Difference of Two Squares and
the Sum and Difference of two Cubes.
Factor Perfect Squares.
2, 3, 4, 5,
15,17,19,21,33,35,37
Factor Second Degree Polynomial.
6, 7,8
9,10,11,12,13
Homework
23,25,27,29,31
39 -49
2
ax +bx +c , a=1
Factor by Grouping
Factor Second Degree Polynomial.
14,15,16
17,18
51 -56,121
57,59,63,65,67,68,75,83,85,93,97,99,111,119,121
2
ax +bx +c , a≠1
Completing the Square
19
69,71,73
SectionR-7: Rational Expressions.
Pages: 62 -70
Objectives
Reduce Rational Expression to Lowest
Term.
Multiply and Divide Rational Expression.
Add and Subtract Rational Expression.
Syllabus /Foundation Math III/ Fall 2011
Estimated Time: 4 hrs
Examples
1,2
3
4,5,6
Homework
5,7,9,10,12,13,15
17,19,21,22,23,25,27,29,31,33
37,39,41,43,44,45,47,49,51
Page 4 of 6
Qatar University
The Foundation Program
Department of Math & Computer
Use the Least Common Multiple Method.
7,8,9
53,55,57,61,63,65,67,69,71
Simplify Complex Rational Expression.
10,11
73,74,75,77,79,81,82
Section R-8: nth Roots; Rational
Exponents
Pages: 73-77
Estimated Time: 4 hrs
Objectives
Work with nth Roots and Simplify
Radicals.
Rationalize Denominators.
Examples
1,3,4
Simplify Expressions with Rational
Exponents.
6,7,8
5
Homework
1,2,7,8,9,11,13,15,16,17,19,21,22,23,25,27,29,30,
31,33,35,36,37,38,39,41
43,45,47,48,49,52,53
55,57,59,61,63,65, 67 -74
Unit (3): Equations and Inequalities
Section 1.1: Linear Equations
Pages: 82-89
Objectives
Solve a linear equation.
Solve equations that lead to linear equations.
Solve applied problems involving linear
equations.
Section 1.2: Quadratic Equations
Pages: 92-100
Estimated Time: 4 hrs
Examples
1,2
4,5,6,7
Solve question
95
Objectives
Examples
1,2
3
Objectives
Use properties of inequalities.
Solve inequalities.
Solving combined inequalities.
Section 1.6: Equations and Inequalities
Involving Absolute Value
Pages: 130-132
Objectives
Solving equations involving absolute values.
43-48,49,51,53,55,56,57,59,77,78,79,80,81
96
Estimated Time: 4 hrs
Solve quadratic equations by factoring.
Solve quadratic equations by using square
root method.
Solving quadratic equations by completing
the square.
Solve quadratic equations using the quadratic
formula.
Section 1.4: Radical Equations; Equations
Quadratic in Form; Factorable Equations
Pages: 113-117
Objectives
Solve radical equations.
Solve equations that are quadratic in form.
Solve equations by factoring.
Section 1.5: Solving Inequalities
Pages: 119-126
Use interval notation.
Homework
7,8,9,11, 13,15, 17, 19, 22,23, 24,25,27,30,33
4
6,7,8,9
Homework
9,10,11,12,14,15,16,17,19,21,23,26
29-34
35,37
41,44,45,47,48,49,51,53,54,55,57,59,62,63,71,73
Estimated Time: 3 hrs
Examples
1,2,3
4,5,6
7,8
Homework
7,8,10,11,13,15,19,21,23,25,27,29,33,35,37
41,43,45,47,48,51,53,55,57,60
73,74,75,77,79,81,83
Estimated Time: 4 hrs
Examples
1,2
3,4,5,6
7,8
9,10
Homework
11,13,15,17,20,22,23,25,29,31,36,37
39,43,45,48,51
53,55,57,59,61,64,65,67
69,71,73,75,81,82
Estimated Time: 3 hrs
Examples
1
Homework
7, 9, 10, 11,13, 16, 17, 19,21,25,27,29,33
Solving inequalities involving absolute values.
2,3,4,5,6
35,37,39,41,43,45,47,52,53,55,57,58
Chapter 1: Review exercise.
Page 145
1,3,5,10,13,17,23,26,40,41,45,47,51,55,57,59
Syllabus /Foundation Math III/ Fall 2011
Page 5 of 6
Qatar University
The Foundation Program
Department of Math & Computer
Unit (4): Equations of a Line
Section 2.3: Lines
Pages: 167-177
Estimated Time: 4 hrs
Objectives
Examples
Calculate and interpret the slope of a line.
Graph lines given a point and a slope.
Finding equations of a line in different
1,2
3
forms
Identify the slope and y-Intercept of a line from
its equation.
Graph lines written in general form using
intercepts.
Find equations of parallel and perpendicular
lines.
Syllabus /Foundation Math III/ Fall 2011
Homework
4,5,6,10,11,13,15,17,21
23,25,27,29
4,5,6,7
37,39,45,47,49,51,53,55,57,58
8
71,73,75,77,79,81,83,85,87,89
9
91,93,95,97
10,11,12,13
41,44,45,59,61,63,65,67,69,70,103,104,105
Page 6 of 6