mathematics (math 0312)
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INSTRUCTOR: |
Liciamma Jacob |
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CONTACT INFORMATION: |
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MYMATHLAB COURSE ID: |
Jacob67116 |
Office location and hours: Stafford campus,
Friday 12:00 pm – 1:00 pm (By appointment only)
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
MATH 0409: Pass with “C” or better; or equivalent score on the placement exam.
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)
- Define, represent, and perform operations on real and complex numbers.
- Recognize, understand, and analyze features of a function.
- Recognize and use algebraic (field) properties, concepts, procedures (including factoring), and algorithms to combine, transform, and evaluate absolute value, polynomial, radical, and rational expressions.
- Identify and solve absolute value, polynomial, radical, and rational equations.
- Identify and solve absolute value and linear inequalities.
- Model, interpret and justify mathematical ideas and concepts using multiple representations.
- Connect and use multiple strands of mathematics in situations and problems, as well as in the study of other disciplines.
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
Core Objectives
Given the rapid evolution of necessary knowledge and skills and the need to take into account global, national, state, and local cultures, the core curriculum must ensure that students will develop the essential knowledge and skills they need to be successful in college, in a career, in their communities, and in life. Through the Texas Core Curriculum, students will gain a foundation of knowledge of human cultures and the physical and natural world, develop principles of personal and social responsibility for living in a diverse world, and advance intellectual and practical skills that are essential for all learning.
Critical Thinking Skills: to include creative thinking, innovation, inquiry, and analysis, evaluation and synthesis of information.
Communication Skills: to include effective development, interpretation and expression of ideas through written, oral and visual communication.
Empirical and Quantitative Skills: to include the manipulation and analysis of numerical data or observable facts resulting in informed conclusions.
CHAPTER Approximate Time
SECTION NUMBERS TOPICS
1 LINEAR EQUATIONS, INEQUALITIES, AND APPLICATION (4 hours)
Topics to be covered include: linear equations in one variable and formulas with applications. The unit concludes with absolute value equations and inequalities.
1.1 Linear Equations in One Variable 44
1.2 Formulas and Percent 54
1.3 Applications of Linear Equations 66
1.5 Linear Inequalities in One Variable 90
1.7 Absolute Value Equations and Inequalities 111
2 LINEAR EQUATIONS, GRAPHS, AND FUNCTIONS (6 hours)
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.
2.1 Linear Equations in Two Variables 136
2.2 The Slope of a Line 148
2.3 Writing Equations of Lines 162
2.4 Linear Inequalities in Two Variables 179
2.5 Introduction to Relations and Functions 186
2.6 Functional Notation and Linear Functions 197
3 SYSTEMS OF LINEAR EQUATIONS (1.5 hours)
Topics to be covered include: solving systems by graphing, elimination, and substitution methods. This unit only considers a two by two systems of linear equation.
3.1 Systems of Linear Equations in Two Variables 216
4 EXPONENTS, POLYNOMIALS, & POLYNOMIAL FUNCTIONS (6 hours)
Topics to be covered include: integer exponents, scientific notation, polynomial functions. This unit concludes with multiplying, and dividing polynomials. You do not need to cover the polynomial graphs and composition from section 4.3.
4.1 Integer Exponents and Scientific Notation 266
4.3 Polynomial Functions 286
4.4 Multiplying Polynomials 298
4.5 Dividing Polynomials 307
5 FACTORING (6 hours)
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.
5.1 Greatest Common Factors; Factoring by Grouping 324
5.2 Factoring Trinomials 330
5.3 Special Factoring 338
5.4 A General Approach to Factoring 344
5.5 Solving Equations by the Zero-Factor Property 349
6 RATIONAL EXPRESSIONS AND FUNCTIONS (6 hours)
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. Graphing rational functions is not included.
6.1 Rational Expressions and Functions; Multiplying and Dividing 366
6.2 Adding and Subtracting Rational Expressions 376
6.3 Complex Fractions 385
6.4 Equations with Rational Expressions and Graphs 391
6.5 Applications of Rational Expressions 400
7 ROOTS, RADICALS, AND ROOT FUNCTIONS (6 hours)
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. Graphing radical functions is not included.
7.1 Radical Expressions and Graphs 434
7.2 Rational Exponents 442
7.3 Simplifying Radicals, the Distance Formula, and Circles 450
7.4 Adding and Subtracting Radical Expressions 463
7.5 Multiplying and Dividing Radical Expressions 468
7.6 Solving Equations with Radicals 479
7.7 Complex Numbers 485
8 QUADRATIC EQUATIONS, INEQUALITIES, & FUNCTIONS (3 hours)
Topics to be covered include: solving quadratic equations by the square root property, completing the square, and the quadratic formula; vertical parabolas.
8.1 The Square Root Property and Completing the Square 496
8.2 The Quadratic Formula 505
8.6 More about Parabolas; Application (omit horizontal parabolas) 541
APP GRAPHING QUADRATIC INEQUALITIES (1.5 hours)
Appendix: Graphing Quadratic Inequalities (1.5 hours)
Topics to be covered include: second degree inequalities whose graphs involve circles and parabolas only.
APPENDIX Graphing Quadratic Inequalities 664
Student Assignments
Homework assessments will be submitted online through MyMathLab. The MyMathLab Course ID to be used for registration purposes is Jacob67116 To register for MyMathLab and to access the homework, go to www.coursecompass.com.
An average of all the homework sections will be the grade for your homework.
No calculators or formula sheets will be allowed on any exam
Make-up exams
There is absolutely NO make up exams.
However one exam grade (excluding the final) will be dropped. In other words you may take only three exams and the final.
Resource Materials: In addition, this course has an associated CANVAS Model course. Course materials are available within the CANVAS Course Management System. Any student enrolled in Math 0312 at HCC has access to the Learning Resource Center (LRC) where they may get additional help in understanding the theory or in improving their skills. The LRC is staffed with mathematics faculty and/or student assistants, and offers tutorial help, videos and computer-assisted drills.
Final Exam Policy in Developmental Mathematics:
The following policy was adopted by Houston Community College regarding the system-wide Final Examinations in developmental mathematics courses:
- Students who score less than 60% on the Final Examination or who have an overall course average less than 70% will be awarded a grade of “IP” or “F.” The “IP” grade will be awarded to those students who took Math 0312 for the 1st time. The “F” grade will be awarded to those students who are repeating Math 0312.
- Students who score 60% or higher on the Final Examination and whose overall course average is equal to or greater than 70%, will have their grades averaged and awarded a grade based upon the standard 10 point scale.
AVERAGE GRADE
90% ≤ Final Average ≤ 100% A
80% ≤ Final Average < 90% B
70% ≤ Final Average < 80% C
0% ≤ Final Average < 70% IP or F
Note: The grade of “FX” is given when a student fails due to lack of attendance. A grade of “W” may be given on or before the official withdrawal date but not at the time of final grade submission.
Exams.
There will be 3 tests and a final departmental exam
Test |
Chapters Covered on Test |
Tentative Exam dates |
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Test #1 |
Chapters 1,2,and 3 |
Friday, October 6 |
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Test #2 |
Chapters 4 5 and 6 |
Friday, November10 |
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Test #3 |
Chapter ,7,and 8 |
Friday, December 1st |
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Final Exam |
Comprehensive (all sections) |
Friday December 15th, 800 am- 10:00 am |
Final Course Grade will be calculated as follows
Highest 2 tests + H.W Average + Final exam/4
HCC Policy Statement - ADA
Services to 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 Disability Services Office at his or her respective college at the beginning of each semester. Faculty members are authorized to provide only the accommodations requested by the Disability Support Services Office. Persons needing accommodations due to a documented disability should contact the ADA counselor for their college as soon as possible. For questions, please contact Donna Price at 713.718.5165. To visit the ADA Web site, please visit www.hccs.edu then click Future students, scroll down the page and click on the words Disability Information.
HCC Policy Statement: Title IX
HCC is committed to provide a learning and working environment that is free from discrimination on the basis of sex which includes all forms of sexual misconduct. Title IX of the Education Amendments of 1972 requires that when a complaint is filed, a prompt and thorough investigation is initiated. Complaints may be filed with the HCC Title IX Coordinator available at 713 718-8271 or email at [email protected].
Title IX of the Education Amendments of 1972 requires that institutions have policies and procedures that protect students’ rights with regard to sex/gender discrimination.
Information regarding these rights are on the HCC website under Students-Anti-discrimination. Students who are pregnant and require accommodations should contact any of the ADA Counselors for assistance.
It is important that every student understands and conforms to respectful behavior while at HCC.
Sexual misconduct is not condoned and will be addressed promptly. Know your rights and how to avoid these difficult situations.
Log in to www.edurisksolutions.org. Sign in using your HCC student email account, then go to the button at the top right that says Login and enter your student number.
HCC Policy Statement: Academic Honesty
Note: As with all developmental mathematics courses at HCC, the use of a calculator during an exam is prohibited and will be considered cheating.
A student who is academically dishonest is, by definition, not showing that the coursework has been learned, and that student is claiming an advantage not available to other students. The instructor is responsible for measuring each student's individual achievements and also for ensuring that all students compete on a level playing field. Thus, in our system, the instructor has teaching, grading, and enforcement roles. You are expected to be familiar with the University's Policy on Academic Honesty, found in the catalog. What that means is: If you are charged with an offense, pleading ignorance of the rules will not help you. Students are responsible for conducting themselves with honor and integrity in fulfilling course requirements. Penalties and/or disciplinary proceedings may be initiated by College System officials against a student accused of scholastic dishonesty. “Scholastic dishonesty”: includes, but is not limited to, cheating on a test, plagiarism, and collusion.
Cheating on a test includes:
- Copying from another students’ test paper;
- Using materials not authorized by the person giving the test;
- Collaborating with another student during a test without authorization;
- Knowingly using, buying, selling, stealing, transporting, or soliciting in whole or part the contents of a test not yet administered;
- Bribing another person to obtain a test that is to be administered.
Plagiarism means the appropriation of another’s work and the unacknowledged incorporation of that work in one’s own written work offered for credit.
Collusion mean the unauthorized collaboration with another person in preparing written work offered for credit. Possible punishments for academic dishonesty may include a grade of 0 or F in the particular assignment, failure in the course, and/or recommendation for probation or dismissal from the College System. (See the Student Handbook)
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 be on time at the beginning of each class period. For complete information regarding Houston Community College’s policies on attendance, please refer to the Student Handbook. 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 your work if you unavoidably miss a class
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.
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.
Repeat Course Fee
The State of Texas encourages students to complete college without having to repeat failed classes. To increase student success, students who repeat the same course more than twice, are required to pay extra tuition. The purpose of this extra tuition fee is to encourage students to pass their courses and to graduate. Effective fall 2006, HCC will charge a higher tuition rate to students registering the third or subsequent time for a course. If you are considering course withdrawal because you are not earning passing grades, confer with your instructor/counselor as early as possible about your study habits, reading and writing homework, test taking skills, attendance, course participation, and opportunities for tutoring or other assistance that might be available.
Classroom Behavior
Everyone will be expected to conduct themselves with courtesy and respect in this classroom.
Use of Camera and/or Recording Devices
As a student active in the learning community of this course, it is your responsibility to be respectful of the learning atmosphere in your classroom. To show respect of your fellow students and instructor, you will turn off your phone and other electronic devices, and will not use these devices in the classroom unless you receive permission from the instructor.
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
Instructor Requirements: Students are expected to submit homework online thru MyMathLab by the designated due dates and take all exams during the scheduled testing dates.
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).
Student Course Reinstatement Policy:
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.
Resources:
The Learning Emporium at the Central Campus is available to all HCC students for tutoring in Mathematics, among other subjects. You may visit them in SJAC 384 or contact them at 713-714-6356 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.
EGLS3 -- Evaluation for Greater Learning Student Survey System
At Houston Community College, professors believe that thoughtful student feedback is necessary to improve teaching and learning. During a designated time, you will be asked to answer a short online survey of research-based questions related to instruction. The anonymous results of the survey will be made available to your professors and division chairs for continual improvement of instruction. Look for the survey as part of the Houston Community College Student System online near the end of the term. Visit www.hccs.edu/EGLS3 for more information.
Administration contact information
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College - Level Math Courses |
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Chair of Math |
Jaime Hernandez |
SW Campus |
713-718-2477 |
Stafford, Scarcella, N108 |
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- Secretary |
Tiffany Pham |
SW Campus |
713-718-7770 |
Stafford, Scarcella, N108 |
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Math Assoc. Chair |
Clen Vance |
CE Campus |
713-718-6421 |
San Jacinto Building, Rm 369 |
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Math Assoc. Chair |
Ernest Lowery |
NW Campus |
713-718-5512 |
Katy Campus Building, Rm 112 |
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Math Assoc. Chair |
Mahmoud Basharat |
NE Campus |
713-718-2438 |
Codwell Hall Rm 105 |
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Developmental Math Courses |
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Chair of Dev. Math |
Susan Fife |
SE Campus |
713-718-7241 |
Felix Morales Building, Rm 124 |
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- Secretary |
Carmen Vasquez |
SE Campus |
713-718-7056 |
Felix Morales Building, Rm 124 |
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Dev. Math Assoc. Chair |
Marisol Montemayor |
SE Campus |
713-718-7153 |
Felix Morales Building, Rm 124 |
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Dev. Math Assoc. Chair |
Jack Hatton |
NE Campus |
713-718-2434 |
Northline Building, Room 321 |
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Technical Support Specialist |
Hien Nguyen |
NE Campus |
713-718-2440 |
Northline Building, Rm 321 |
For issues related to your class, please first contact your instructor.
If you need to contact departmental administration, then contact the appropriate Associate Chair.
If further administrative contact is necessary, then contact the appropriate Department Chair.
Course Information
A syllabus hasn't been posted for this course yet.