Mathematics
North-line Campus
Math 0312: Intermediate Algebra CRN 22120 – Fall-2012
9:00 AM -1:00PM | Sat Rm # 223
3 hour lecture course +1hour lab / 64 hours per semester/
16 weeks
Textbook: Intermediate Algebra by Lial, Hornsby, and McGinnis (11th edition)
ISBN-13: 9780321715418
The course ID for MyMathLab is jivan47145
Instructor: Mrs. Niloufer Jivan
Instructor Contact Information: niloufer.jivan@hccs.edu
Department phone number: 713-718-8000
MyMathLab Course ID to be used for registration purposes is jivan47145.
Office location and hours: N/A Please email me regarding whatever that pertains to the course. Please feel
free to contact me concerning any problems that you are experiencing in this course. You do not need to wait
until you have received a poor grade before asking for my assistance. Your performance in my class is very
important to me. I am available to hear your concerns and just to discuss course topics.
Feel free to e-mail me anytime
Credit: 3 hours credit (3 Lecture), and 1 hr Lab
Course Description
Intermediate Algebra: Topics include factoring techniques, radicals, algebraic fractions, complex numbers,
graphing linear equations and inequalities, quadratic equations, systems of equations, graphing quadratic
equations and an introduction to functions. Emphasis is placed on algebraic techniques, in order to
successfully complete Math 1314 College Algebra. A Departmental Final examination must be passed with a
score of 60% or more in order to pass this course.
Prerequisites
ASSET: Elementary Algebra Raw Score: 14-25; Scaled Score: 45-55; ASSET: Intermediate Algebra Raw
Score: 0-15; Scaled Score: 23-45; Math 0308: Pass with "C" or better
Course Goal
This is the final course in the developmental mathematics sequence and its purpose is to prepare students for
College Algebra.
Course Student Learning Outcomes (SLO)
1. Solve algebraic equations and inequalities involving rational expressions, radicals, quadratics, or linear
expressions.
2. Examine and interpret the linear and quadratic graphs of equations and inequalities.
3. Solve application problems.
4. Use and interpret function notation in both algebraic and graphical contexts.
Learning outcomes
Students will:
1.1 Add, subtract, multiply and divide polynomials
1.2 factor polynomials
1.3 Add, subtract, multiply and divide rational expressions
1.4 Simplify complex fractions
1.5 Solving equations involving rational expressions
1.6 Simplify equations involving rational exponents and simplify radicals
1.7 Add, subtract, multiply, divide expressions involving radicals and solve radical equations
1.8 Add, subtract, multiply and divide complex numbers
1.9 Solve quadratic equations by factoring, completing the square, quadratic formula and square root property
1.10 Solve systems of linear equations in two variables
2.1 Graph linear equations & linear inequalities in two variables
2.2 Find the slope of a line & write its equation
2.3 Graph quadratic functions and inequalities
3.1 Solve word problems
4.1 Recognize functional notation & evaluate functions
Textbook: INTERMEDIATE ALGEBRA (11th Ed). (The textbook is packaged together with the
Solutions manual and the MyMathLab access code at the bookstore)
Intermediate Algebra 11/e
• Lial,
Margaret | Hornsby, John | McGinnis, Terry
Textbook ISBN-10: 0321715411
• Publisher: Addison Wesley/Benjamin Cummings
HCC Course Withdrawal Policy
If you feel that you cannot complete this course, you will need to withdraw from the course prior to the final
date of withdrawal. Before, you withdraw from your course; please take the time to meet with the instructor
to discuss why you feel it is necessary to do so. The instructor may be able to provide you with suggestions
that would enable you to complete the course. Your success is very important. Beginning in fall 2007, the
Texas Legislature passed a law limiting first time entering freshmen to no more than SIX total course
withdrawals throughout their educational career in obtaining a certificate and/or degree.
To help students avoid having to drop/withdraw from any class, HCC has instituted an Early Alert process by
which your professor may “alert” you and HCC counselors that you might fail a class because of excessive
absences and/or poor academic performance. It is your responsibility to visit with your professor or a
counselor to learn about what, if any, HCC interventions might be available to assist you – online tutoring,
child care, financial aid, job placement, etc. – to stay in class and improve your academic performance.
Page 2 of 10
If you plan on withdrawing from your class, you MUST contact a HCC counselor or your professor prior to
withdrawing (dropping) the class for approval and this must be done PRIOR to the withdrawal deadline to
receive a “W” on your transcript. **Final withdrawal deadlines vary each semester and/or depending on class
length, please visit the online registration calendars, HCC schedule of classes and catalog, any HCC
Registration Office, or any HCC counselor to determine class withdrawal deadlines. Remember to allow a
24-hour response time when communicating via email and/or telephone with a professor and/or counselor.
Do not submit a request to discuss withdrawal options less than a day before the deadline. If you do not
withdraw before the deadline, you will receive the grade that you are making in the class as your final grade.
The final withdrawal deadline is 4:30 PM, November 2, 2012.
Note: (1) Students who repeat a course for a third or more times may soon face significant
tuition/fee increases at HCC and other Texas public colleges and universities. Please ask your
instructor / counselor about opportunities for tutoring / other assistance prior to considering
course withdrawal or if you are not receiving passing grades.
Student Services
(2) INTERNATIONAL STUDENTS: Receiving a W in a course may affect the status of your
student Visa. Once a W is given for the course, it will not be changed to an F because of the visa
consideration. Please contact the International Student Office at 713-718-8520 if you have any
questions about your visa status and other transfer issues.
PLEASE REMEMBER THAT AS A MEMBER OF THE HCCS ACADEMIC
COMMUNITY YOU ARE BOUNDED TO OBSERVE THE ACADEMIC
HONESTY CODE (SEE THE HCCS STUDENT HANDBOOK) IN ALL YOUR
SCHOOL WORK
Grading & Evaluation: Your grade will be determined based upon how many points that you
accumulate from quizzes, web activity, homework, and exams. The approximate number of
points is as follows:
(1) Four major examinations each is a 100 points.
(2) Departmental comprehensive final (100 points); the final exam will take place onsite.
(3) Homework via MYMATHLAB (100 points).All homework and quizzes must be completed
online using MYMATHLAB. The MyMathLab grade will be the equivalent of one test grade.
The MyMathLab Course ID to be used for registration purposes is jivan47145, and the school
zip code is 77022. To register for MyMathLab and to access the homework, go to
www.coursecompass.com
Final course average = 0.50 x average of 3 Tests + 0.25 x MYMATHLAB H.W
Homework + 0.25 x Final Exam
If the homework grade is not available, it will be replaced by the final exam
grade.
No make -up exams will be given. Make-ups are only available for extenuating
circumstances; instructor’s decision is final. If a student misses a TEST then that will be his/her
lowest TEST GRADE. If a student misses a second test, then that is a zero
Page 3 of 10
The final course average will be used in the usual manner.
Grading Scale
90 - 100 = A
80 - 89 = B
70 - 79 = C
60 - 69 = D
00- 59 = F
A grade of “IP” (In Progress) will not be given. If your final grade is a “D”, then you may be
eligible to take the bridge course MATH 0112 instead of repeating the class. To determine
eligibility, please email me. A grade of “F” is given if the final average is below 60 or the final
exam grade is below 60.
Final Examination:
The final examination is departmental and consists of 33 multiple-choice problems. The
problems cover all the material required in the course. If you score lower than 60% on the final
exam, you automatically are given a course grade of F, as noted under the grading policy. If your
score on the final exam is 60% or higher, then your grades are averaged using the formula
specified under grading policy. You MUST pass the final exam in order to pass the course.
.Your all over final grade will be available at
https://hccsaweb.hccs.edu:8080/psp/csprd/?cmd=login&languageCd=ENG&
Test Schedule:
Test: In Class
Test #1
Test #2
Test #3
Final Exam
Chapters Covered on
Test
Date
Chapter: 2.1, 2.2, 2.3,
2.5, 2.7
Chapter: 3.1 to 3.6
Chapter: 4.1
Chapter: 5.1, 5.3, 5.4, 5.5
Chapter: 6.1 to 6.5
Chapter: 7.1 to 7.5
Saturday
September 29 2012
Chapter: 8.1 to 8.7
Chapter:9.1, 9.2, 9.6,9.7
Chapter:11.5
Comprehensive
Saturday
Saturday
November 3 2012
December 6 2012
Saturday
December 15 2012
Fall 2012 Holiday Schedule:
Labor Day: September 3
Thanksgiving: November 22 –November 25
The final withdrawal deadline is 4:30 PM, November 2, 2012.
Page 4 of 10
Internet Course Policies:
You need, constantly on a daily basis, to check the calendar, course work, e-mail and other links
on your web page to ensure a successful and timely completion. Check the course calendar for
events, and examination dates. The results of the exam will be communicated to you within a
week through WebCT. If you have any question over any test grade and you would like to
review it, you must arrange an appointmet with me to discuss your grade. All students must
acquire access code to the Course Material.i.e.User name and Password. If you have any problem
with logging to the course website please contact one of the Distance Education Technicians
desupport@hccs.edu
It is extremely important that you take the exam during the scheduled time!!!!.
Communication is the most problematic area in distance education. Remember that we don't see
face to face, and so we are not able to read body languages and interact with each other as in a
traditional class room. It is important that you do your homework and practice in this course. It is
absolutely essential that you do as much of the homework as possible, if you don’t do the
assigned homework, I can almost guarantee that you will not be successful in this course. I
will be glad to answer questions about the homework problems during chat sessions and on the
Discussion Forums.
Caution: There is one word that best summarizes the major difficulty that most people have
taking a course online: procrastinaion! You will have great excitement and good intentions in
the beginning, but as the course progresses, there will be a tendency to put off it just one more
day while you do other urgent tasks. Soon the ‘one more day’ becomes a week and you are
hopelessly behind! I will do my best to help keep you on track, but of the discipline must come
from you. It is imperative that you follow the calendar that I will lay out for you if you plan to
succeed.
Resource Materials: Free tutoring is available .Additional help is also available through Student Support
Services. Students can get free assistance, 24 hours a day, 7 days a week, in Math, English and other subjects,
at www.hccs.askonline.net. Typically, posted questions are answered by an HCC tutor or faculty within 24
hours (usually under 6 hours). There are also several online math resources that you can find with an internet
search. You may also find information on the Learning Web site accessible through your specific HCCS
campus website. Also available is a student’s Solutions manual, which may be obtained from the Bookstore.
Math Lab Hours: (North East College) Please call 713-718-8000 for Northline mall Campus,
and 713- 718 -8400 for the Pinemont campus.
Note that almost every HCCS campus has a MATH LAB.
Please feel free to come to the North Line Mall Campus, and/or Pinemont Campus and take
advantage of our professional tutoring in the Math Lab. Also please feel free to email me for an
appointment.
Americans with Disabilities Act (ADA): "Any student with a documented disability (e.g.
physical, learning, psychiatric, vision, hearing, etc.) Who needs to arrange reasonable
accommodations must contact the appropriate Disability Support Service Counselor at the
beginning of each semester? Faculty is authorized to provide only the accommodations requested
by the Disability Support Services Office. Students who are requesting special testing
accommodations must first contact the appropriate Disability Support Service Counselor for
assistance. Please contact the Distance Education Counselor at 713-718-7014
Page 5 of 10
de.counseling@hccs.edu in order to be referred to the appropriate Disability Support Service
Counselor. Students who require testing accommodations need to schedule an appointment for
testing to ensure that staff will be available for proctoring and to arrange for any adaptive
equipment that may be required. Students should contact their distance education instructor's
"Instructional Support Specialist" the week prior to each of their exams throughout the semester
to confirm that the requested testing accommodations will be met. If you need assistance in
determining your instructor's Instructional Support Specialist, please contact your instructor or
the Distance Education Counselor."
HCC Policy Statements
Class Attendance - It is important that you come to class! Attending class regularly is the best
way to succeed in this class. Research has shown that the single most important factor in student
success is attendance. Simply put, going to class greatly increases your ability to succeed. You
are expected to attend all lecture and labs regularly. You are responsible for materials covered
during your absences. Class attendance is checked daily. Although it is your responsibility to
drop a course for nonattendance, the instructor has the authority to drop you for excessive
absences.
If you are not attending class, you are not learning the information. As the information that is
discussed in class is important for your career, students may be dropped from a course after
accumulating absences in excess of six (6) hours of instruction. The six hours of class time
would include any total classes missed or for excessive tardiness or leaving class early.
You may decide NOT to come to class for whatever reason. As an adult making the decision not
to attend, you do not have to notify the instructor prior to missing a class. However, if this
happens too many times, you may suddenly find that you have “lost” the class.
Poor attendance records tend to correlate with poor grades. If you miss any class, including the
first week, you are responsible for all material missed. It is a good idea to find a friend or a
buddy in class who would be willing to share class notes or discussion or be able to hand in
paper if you unavoidably miss a class.
Course Outline:
The lecture schedule contained in this outline is suggested for your usage. Instructors are free to
modify the schedule to meet their needs. However, all the sections listed below must be covered.
It is suggested that the even numbered problems be used as examples in class and allow the
students to practice the odd numbered problems for homework.
CHAPTER
2 LINEAR EQUATIONS, INEQUALITIES, AND APPLICATIONS
Topics to be covered include: linear equations in one variable and formulas with
applications. The unit concludes with absolute value equations and inequalities.
2.1 Linear Equations in One Variable -------------------------------------------------------------48
2.2 Formulas ----------------------------------------------------------------------------------------------56
2.3 Applications of Linear Equations------------------------------------------------------------- 67
2.5 Linear Inequalities in One Variable -----------------------------------------------------------91
Page 6 of 10
2.7 Absolute Value Equations and Inequalities ----------------------------------------------112
3 GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS
Topics to be covered include: graphing lines in the coordinate plane, the slope of a line,
equations of a line, linear inequalities and their graphs, relations and functions. The
section concludes with variation.
3.1 The Rectangular Coordinate System -------------------------------------------------------136
3.2 The Slope of a Line -------------------------------------------------------------------------------148
3.3 Linear Equations in Two Variables ----------------------------------------------------------161
3.4 Linear Inequalities in Two Variables --------------------------------------------------------175
3.5 Introduction to Functions ---------------------------------------------------------------------- 181
3.6 Functional Notation ------------------------------------------------------------------------------190
4 SYSTEMS OF LINEAR EQUATIONS
Topics to be covered include: solving systems by graphing, elimination, and substitution
methods. This unit only considers two by two systems of linear equation.
4.1 Systems of Linear Equations in Two Variables----------------------------------------- 210
5 EXPONENTS, POLYNOMIALS, & POLYNOMIAL FUNCTIONS
Topics to be covered include: integer exponents, scientific notation, polynomial
functions. This unit concludes with multiplying, and dividing polynomials.
5.1 Integer Exponents and Scientific Notation -----------------------------------------------264
5.3 Polynomial Functions ---------------------------------------------------------------------------284
5.4 Multiplying Polynomials ------------------------------------------------------------------------293
5.5 Dividing Polynomials ----------------------------------------------------------------------------303
6 FACTORING
Topics to be covered include: factoring out the GCF, factoring the difference of two
squares, factoring the general trinomial, factoring the sum and difference of two cubes,
and factoring by grouping.
6.1 Greatest Common Factors; Factoring by Grouping---------------------------------- 320
6.2 Factoring Trinomials ----------------------------------------------------------------------------326
6.3 Special Factoring ----------------------------------------------------------------------------------333
6.4 A General Approach to Factoring -----------------------------------------------------------339
6.5 Solving Equations by Factoring --------------------------------------------------------------343
7 RATIONAL EXPRESSIONS AND FUNCTIONS
Topics to be covered include: rational expressions and functions; multiplying, dividing,
adding and subtracting rational expressions; complex fractions. The unit concludes with
equations involving rational expressions and applications of rational expressions.
7.1 Rational Expressions and Functions; Multiplying and Dividing ------------------362
7.2 Adding and Subtracting Rational Expressions -----------------------------------------371
Page 7 of 10
7.3 Complex Fractions --------------------------------------------------------------------------------380
7.4 Equations with Rational Expressions and Graphs ------------------------------------386
7.5 Applications of Rational Expressions -----------------------------------------------------396
8 ROOTS, RADICALS, AND ROOT FUNCTIONS
Topics to be covered include: Radical expressions and exponents; simplifying radical
expressions; adding, subtracting, multiplying and dividing radical expressions; solving
equations involving radical expressions. This unit concludes with complex numbers.
8.1 Radical Expressions and Graphs ------------------------------------------------------------428
8.2 Rational Exponents -------------------------------------------------------------------------------435
8.3 Simplifying Radical Expressions-------------------------------------------------------------443
8.4 Adding and Subtracting Radical Expressions ------------------------------------------453
8.5 Multiplying and Dividing Radical Expressions ------------------------------------------458
8.6 Solving Equations with Radicals ------------------------------------------------------------468
8.7 Complex Numbers --------------------------------------------------------------------------------474
9 QUADRATIC EQUATIONS, INEQUALITIES, & FUNCTIONS
Topics to be covered include: solving quadratic equations by the square root property,
completing the square, and the quadratic formula; vertical parabolas. This unit
concludes with quadratic and rational inequalities.
9.1 The Square Root Property and Completing the Square ------------------------------496
9.2 The Quadratic Formula --------------------------------------------------------------------------505
9.6 More about Parabolas; Application (omit horizontal parabolas) ------------------541
9.7 Quadratic and Rational Inequalities --------------------------------------------------------552
11 NONLINEAR FUNCTIONS, CONIC SECTS, & NONLINEAR SYS
Topics to be covered include: second degree inequalities whose graphs involve circles
and parabolas only.
11.5 Second-Degree Inequalities & Sys of Inequalities (Omit Sys of Inequalities)
--------------------------------------------------------------------------------------------------------------------------------------- 665
STUDENTS WITH DISABILITIES:
"Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing,
etc) who needs to arrange reasonable accommodations must contact the appropriate HCC
Disability Support Service (DSS) Counselor at the beginning of each semester. Faculty is
authorized to provide only the accommodations requested by the Disability Support Services
Office.” Students who are requesting accommodations must first contact the appropriate (most
convenient) DSS Counseling office for assistance:
Central: 713.718.6164
Northwest: 713.718.5422
Northeast: 713.718.8420
Southeast: 713.718.7218
Southwest: 713.718.7909
System: 713.718.5165
Page 8 of 10
*Deaf and Hard of Hearing Services – Central
*Students living outside of the HCC District service areas - Central
After student accommodation letters have been approved by the DSS office and submitted to DE
Counseling, students will receive a confirmation email along with instructions regarding
completion of the requested accommodation(s).
DISTANCE EDUCATION ADVISING AND COUNSELING SERVICES:
Advising can be accomplished by telephone at 713/718-5275 - option # 4 or via email at
decounseling@hccs.edu. Confidential sessions with the distance education counselors will help
students understand admissions, registration, entrance testing requirements, degree planning,
transfer issues, and career counseling. HCC counselors also maintain a local referral base in
order to provide appropriate referrals to students with personal or family issues that may require
long-term solutions.
NOTICE FOR STUDENTS WHO LIVE OUTSIDE OF HOUSTON: Students who live outside
the Houston area and cannot take paper exams at one of our HCC testing locations MUST make
arrangements for a proctor. Please see the DE Student Services webpage for information at the
following URL: http://distance.hccs.edu/de counseling/student_out_houston.htm
VIRTUAL CLASSROOM CONDUCT: As with on-campus classes, all students in HCC
DE courses are required to follow all HCC Policies & Procedures, the Student Code of
Conduct, the Student Handbook, and relevant sections of the Texas Education Code when
interacting and communicating in a virtual classroom with faculty and fellow students. Students
who violate these policies and guidelines will be subject to disciplinary action that could include
denial of access to course-related email, discussion groups, and chat rooms or being removed
from the class.
USE OF CAMERAS OR RECORDING DEVICES:
Use of recording devices, including camera phones and tape recorders, is prohibited in
classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or
testing occurs. Students with disabilities who need to use a recording device as a reasonable
accommodation should contact the Office for Students with Disabilities for information
regarding reasonable accommodations.
Personal Communication Device Policy:
All personal communication devices (any device with communication capabilities including but not limited to
cell phones, blackberries, pagers, cameras, palmtop computers, lap tops, PDA's, radios, headsets, portable fax
machines, recorders, organizers, databanks, and electronic dictionaries or translators) must be muted or turned
off during class. Such activity during class time is deemed to be disruptive to the academic process. Personal
communication devices are to not be on the student desk during examinations. Usage of such devices during
exams is expressly prohibited during examinations and will be considered cheating (see academic honesty
section above).
Mathematics Bridge Course Statement for 0312:
Any student who earns a grade of D in Math 0312 is required to enroll in the Bridge Course-Math 0112.
Please visit with the instructor of your course for details.
Student Course Reinstatement Policy:
Page 9 of 10
Students have a responsibility to arrange payment for their classes when they register, either through cash,
credit card, financial aid, or the installment plan. Faculty members have a responsibility to check their class
rolls regularly, especially during the early weeks of a term, and reconcile the official class roll to ensure that
no one is attending class whose name does not appear on it. Students who are dropped from their courses for
nonpayment of tuition and fees who request reinstatement after the official date of record (OE Date) can be
reinstated by making payment in full and paying an additional \$75 per course reinstatement fee. A student
requesting reinstatement should present the registrar with a completed Enrollment Authorization Form with
the signature of the instructor, department chair, or dean who should verify that the student has been attending
class regularly. Students who are reinstated are responsible for all course policies and procedures, including
attendance requirements.
Page 10 of 10