MATH-1000: Essentials of Algebra -Enhanced ( Online | Fall 2017 ) ( Online | Fall 2017 )

Download this syllabus as a PDF Document.

Instructor Information
Instructor Name

Khalil Rassy

Instructor Rank

Associate Professor

Instructor Email krassy@southwest.tn.edu
Instructor Website

http://faculty.southwest.tn.edu/krassy

Instructor Office

MW 31 Macon Cove

Office Hours

TBA

Instructor Phone

901-333-4127

Department Phone

(901) 333- 4474

Course Information
Course Description

This course covers essential algebra topics such as roots and radicals, factoring polynomials, functions (domain and range), simplifying and solving equations with rational expressions, solving and graphing quadratic equations, exponential and logarithmic expressions.

Note: This course will not satisfy general education math requirements for associate degrees or technical certificates.  This course is a prerequisite for MATH 1710 (Precalculus I) and MATH 1740 (Algebra and Trig I). Exception is made if the student has an ACT score of 19 or higher.  This course is not designed for transfer.

Student Learning Objectives

Module 1:

  1. Students will be able to find the greatest common factor from a group of monomials and polynomials.
  2. Students will be able to factor by grouping.
  3. Students will be able to factor trinomials of the form x^2+bx+c.

Module 2:

  1. Students will demonstrate the ability to factor trinomials of the form ax^2+bx+c using trial and error and the ac method.
  2. Students will be able to factor the difference of two squares, perfect square trinomials, and the sum or difference of two cubes.
  3. Students will be able to find the domain and range of a relation.
  4. Students will be able to express equations of functions using function notation.
  5. Students will demonstrate the ability to solve polynomial equations by factoring.
  6. Students will be able to evaluate rational functions.
  7. Students will be able to multiply, divide, add, subtract and simplify rational expressions.

 

Module 3:

  1. Students will be able to simplify complex rational expressions by first simplifying the numerator and denominator.
  2. Students will demonstrate the ability to simplify complex rational expressions by multiplying by a common denominator.
  3. Students will be able to identify and solve rational equations.
  4. Students will be able to use rational equations to solve application problems.
  5. Students will demonstrate the ability to solve problems involving direct and inverse variation.
  6. Students will be able to find square roots of perfect squares.
  7. Students will be able to approximate square roots.
  8. Students will be able to evaluate radical functions.
  9. Students will demonstrate the ability to use the definition for rational exponents of the form a^(1/n).

Module 4:

  1. Students will be able to use the definition for rational exponents of the form a^(m/n).
  2. Students will demonstrate the ability to add, subtract, and multiply radical expressions.
  3. Students will be able to rationalize denominators of radical expressions.
  4. Students will be able to solve equations involving one radical expression.
  5. Students will be able to use radical equations and models to solve application problems.
  6. Students will demonstrate the ability to simplify powers of i, and add, subtract, and multiply complex numbers.
  7. Students will be able to solve quadratic equations using factoring and the quadratic formula.

Module 5:

  1. Students will be able to solve quadratic equations using the square root property.
  2. Students will demonstrate the ability to solve quadratic equations by completing the square.
  3. Students will be able to identify the characteristics of a quadratic function from its graph, and graph quadratic functions using translations.
  4. Students will be able to solve applications involving geometric formulas.
  5. Students will be able to maximize quadratic functions to solve application problems.
  6. Students will demonstrate the ability to use vertical and horizontal shifts to graph functions.
  7. Students will be able to sketch the graphs of exponential functions using transformations.
  8. Students will demonstrate an understanding of the basic characteristics of exponential functions, including the natural exponential function.
  9. Students will demonstrate an understanding of the definition of a logarithmic function.
Prerequisites

Grade “C” or higher in MATH0820 or equivalent.

Corequisites

Students must register for the co-requisite course MATH 0100 Support Course for Essentials of Algebra unless they have made a grade of “C” or higher in MATH 1530 Probability and Statistics or MATH 1630 Finite Mathematics

Instructional / Learning Methods

This is an online course.  This is a modularized course that requires  competency based mastery learning.  All course assignments will require a mastery level that must be met before access to the next assignment will be permitted.

The instructional / learning methods employed in this course are a combination of reading, visual learning, and skills mastery.

This course provides individualized instruction through MyLabsPlus and is modularized.  There are five modules within the course.  Students will be required to meet mastery standards in each module before progressing to the next module. There will be a proctored midterm exam and a proctored final exam.

Specific Course Requirements

A purchased access code to MyLabsPlus and a graphing utility calculator.  The TI 83 or TI 85 is recommended.

Have a reliable computer and internet access

Possess the skills of a college-level student (which include, but are not limited to):

  • basic computer skills, the ability to follow written directions
  • the ability to read for comprehension
  • Possess good time-management skills.
  • Be able to come on campus to take the Midterm and Final Exams.

Textbooks, Supplementary Materials, Hardware, and Software Requirements
Required Text

A MyLabsPLUS student access code comes with the ebook: Intermediate Algebra, by Trigsted, Gallaher, Bodden, 1st Ed 

Other: A graphics calculator is required. The Texas Instruments model TI-83 plus or TI-84 is recommended.

Supplementary Materials

A graphics calculator is required. The Texas Instruments model TI-83 plus or TI-84 is recommended.

Cell phones may not be used as calculators.

Hardware Requirements

If this course requires the use of a computer, these are general recommendations for accessing any of the services that Southwest offers on the Web (e.g. My.Southwest, etc.).

  • minimum Pentium IV or higher processor (recommended)
  • SVGA monitor, minimum resolution 800x600 (1024x768 strongly recommended)
  • CD-ROM or DVD drive
  • floppy drive, zip drive, or CD-RW drive
  • Mouse or compatible pointing device
  • at least 512 MB of RAM (recommended)
  • (optional) printer
Software Requirements

The software listed below is recommended for any student accessing Southwest services through the internet. Your course may have specific software requirements.

  • Windows 7, Vista, XP
  • Mac OS X (up to 10.6) (OS 10.6 recommended)
  • Linux with a Supported Browser
  • Microsoft Edge+
  • IE 10 & 11: some issues+
  • Firefox (latest)+
  • Firefox ESR+
  • Chrome (latest)+
  • Current Anti-Virus protection
  • Reliable Internet connection (broadband recommended but not required)

Many instructors may require assignments to be submitted using Microsoft Excel or Microsoft Word. To learn how to obtain discounted software from Microsoft, visit http://southwest.tn.onthehub.com.

Assessment and Grading
Method of Evaluation

Homework, Self-Checks, Module Tests, Mid-term Exam, Final Exam.

  • Module 1 Test  (on MyLabsPlus) 4%
  • Module 2 Test  (on MyLabsPlus) 4%
  • Module 3 Test  (on MyLabsPlus) 4%
  • Module 4 Test  (on MyLabsPlus) 4%
  • Module 5 Test  (on MyLabsPlus) 4%
  • MIdterm Exam (Proctored on Campus) 40%

     

  • Final Exam (Proctored on Campus) 40%

    Final exam is comprehensive and covers all five modules

  • There is no extra credit available for this course.

Grading Scale

90-100: A

0-89: B

70-79: C

0-69: D

0-59: F

Note:  In order to withdraw from this course you must submit an official form to the admissions/records office.

Testing Procedure / Policy

The Mid-term Exam and Final Exam will be taken ONCE during dates, time, and location designated by your instructor.

They must be proctored on the Macon Campus.

The maximum time allowed for each exam is 1 hour and 30 minutes.

Make-up exams will not be given.

The Midterm exam will be 40% of the final average.  The Final exam will be 40% of the final average. Note:  No Testing or Quizzing is done on the  PAWS site.

Note: No Testing or quizzing is done on the PAWS site.

Major Assignments

Homework and Self-Check Assignments

Each Homework assignment is paired with a Self-Check assignment.

Homework: Homework assignments are worked in MyMathLab Plus. 80% mastery must be achieved on each Homework assignment before the corresponding Self-Check assignment may be accessed.

Self-Check assignments are worked in MyMathLab Plus and reinforce homework competencies.  80% mastery must be achieved on each Self-Check before the next Homework assignment may be accessed.

Grades from Homework and Self-Check assignments are not included in the final average, but their completion is necessary to prepare you for each Module Test.

Module Tests

This course consists of five modules.  At the end of each module is a Module Test.  Each test will be taken in MyMathLab Plus and counts as 4% of the final average.

Mid-Term and Final Exams  

The Midterm exam will be 40% of the final average.  The Final exam will be 40% of the final average.

Module 1: Review and Factoring

Section 1.1: 4.1 Rules of Exponents (Review)

4.3 Multiplying Polynomials (Review)

Section 1.2

4.4 Dividing Polynomials (Review)

5.1 Factoring: GCF and Factoring by Grouping

Section 1.3

5.2 Factoring Trinomials of the form  x squared +bx +cx

Factoring Review 5.1 – 5.2

Module 2: Factoring, Polynomial Equations, Rational Expressions, and Function

Section 2.15.2 Factoring Trinomials of the form ax^2 + bx + c

5.3 Special Case Factoring; A General Factoring Strategy

Section 2.2

5.4 Polynomial Equations and Models

2.2 Relations and Functions

2.3 Function Notation and Applications

Section 2.3

6.2 Multiplying and Dividing Rational Expressions

6.3 Adding and Subtracting Rational Expressions

5.1- 5.3 Factoring Review

Module 3: Rational and Radical Equations, Complex Numbers

Section 3.1

6.4 Complex Rational Expressions

6.5 Rational Equations and Models

Section 3.2

6.6 Variation

7.1 Radical Expressions and Graphs

7.2 Radical Functions

7.3 Rational Exponents and Simplifying Radical Expressions

7.4 Operations with Radicals

Section 3.3

7.4 Operations with Radicals(con’t)

7.5 Radical Equations and Models

7.6 Complex Number

Module 4: Quadratic, Exponential and Logarithmic Functions; Transformations

Section 4.1

8.1 Solving Quadratic Equations

8.2 Quadratic Functions and Their Graphs

Section 4.2

8.3 Applications and Modeling of Quadratic Functions

9.1 Transformations of Functions

Section 4.3

9.3 Exponential Functions

9.4 The Natural Exponential Function

9.5 Logarithmic Functions

5.1 –5.3 Factoring Review

Participation / Attendance Policy

Attendance Policy

Student attendance is documented by PAWS and MyLabsPlus logins.

Individual instructors determine specific make-up policies. Students absent from a class might not be allowed to make up missed tests, writing assignments, or other graded work. Missed work will adversely affect final course grades. Documentation of reason for absence is expected.

Participation Policy

Content discussions and content reading on PAWS are required. Also students are required to write timely progress reports to the instructor by email.

Policy on Student Professional Conduct

Students must do their own work on MyLabsPlus. Students whose grades are an A or B online and are mis-matched (D or F) on the proctored Final Exam may be challenged. Such students may be required to complete additional proctored testing to verify that their final grades are accurate.

Guidelines for Communications
Email Guidelines

Each student has been provided a Southwest e-mail account. Please do not email your classmates unless the topic relates specifically to this course. E-mails that contain advertisements, solicitations, personal interests, etc. are strictly forbidden. Below are a few guidelines that you should keep in mind when sending email:

  • Always include a subject line.
  • Typing in all CAPS is considered SHOUTING in Cyberspace. So please use upper and lower case characters when sending e-mails.
  • Remember, without facial expressions some comments may be taken the wrong way. Be careful in wording your e-mails and use good Netiquette
  • Use standard fonts.
  • Do not send large attachments without permission.
  • Respect the privacy of other class members.

Online instructors will respond to all e-mails within 48 hours.

Discussion Guidelines

Below are a few guidelines that should be adhered to when using the Discussion forum. Messages that contain advertisements, solicitations, personal interests, etc. are strictly forbidden.

  • Review the discussion threads thoroughly before entering the discussion.
  • Please try to maintain threads by using the "Reply" button rather starting a new topic.
  • Do not make insulting or inflammatory statements to other members of the class. Be respectful of others' ideas.
  • Be patient and read the comments of other group members thoroughly before entering your remarks.
  • Be positive and constructive in group discussions.
  • Respond in a thoughtful and timely manner.
Technical Support
Technical Support

My.Southwest: Submit a Student Technical Support Request. Please provide a full detailed explanation of the problem.

PAWS: For course related questions, contact your instructor. For technical issues with the PAWS website, contact the College Helpdesk at (901) 333-4357.

Student Services
Embedded Librarian Service This service may be found inside PAWS courses.
Two Southwest Librarians are assigned to work with you and your instructor throughout the course for the entire semester. The Librarians will suggest library resources and answer questions sent to "Ask A Librarian".

To contact a Librarian, go to the Classlist and select the "Ask A Librarian" tab.
Student Services Links

Academic Support

The Academic Support Center(ASC) provides free services and resources to help Southwest students successfully reach their academic and career goals. These services include tutoring by peer and master tutors, computer labs, success workshops, academic coaching, early alerts from your instructors and areas for individual or group study at numerous locations. The ASC also provides Supplemental Instruction in some of our general education classes and the Center is also responsible for Academic Progress Reporting so that you will be award of your academic standing during the 5th-6th week of the semester. Online tutoring services are offered through Smarthinking 24 hours a day, 7 days a week. Simply login to your PAWS to access this online tutoring resource.

Drop/Withdrawal Dates

See the official college catalog for the current withdrawal policies. Important semester drop and withdrawal dates can be found on the college Web site at http://www.southwest.tn.edu.

Academic Misconduct

Plagiarism, cheating, and other forms of academic dishonesty are prohibited. A student guilty of academic misconduct, either directly or indirectly, through participation or assistance, is immediately responsible to the instructor of the class. The instructor has the authority to assign an “F” grade or a zero for the exercise or examination, or to assign an “F” for the course. College sanctions for academic misconduct may include suspension or dismissal from the College. Please see the section in the current Catalog on Academic Misconduct.

Classroom Behavior: Any student engaged in disruptive conduct or conduct violating the general rules or regulations of the College may be ordered to temporarily leave the classroom. Extended or permanent exclusion from the classroom can be achieved only through appropriate procedures of the College.

Open Labs

Macon Cove

  • Academic Support Center: Available during working hours
  • Bert Bornblum Library: Available during library hours
  • Farris 2131: M-R 8-5:30, F 804:30

Union Avenue

  • Academic Support Center - F Building, Room 319, available during working hours
  • Parrish Library - Available during library hours
  • M105: 8-6:30

Gill

  • Computer Lab- Room 101 (Please note - this room is available when classes are not scheduled. Schedule fluctuates each semester.)
  • Library - Available during Library hours only.

Maxine Smith

  • Open Lab- Room 101.
  • Library - Available during Library hours only.

Whitehaven

  • Open Lab Building 6, Room 127
  • Library - Available during Library hours only.
Syllabus Updates The instructor reserves the right to make changes as necessary to this syllabus. If changes are necessitated during the term of the course, the instructor will immediately notify students of such changes.