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

Download this syllabus as a PDF Document.

Instructor Information
Instructor Name

Tami Murphy

Instructor Rank

Associate Professor

Instructor Email tmurphy@southwest.tn.edu
Instructor Website

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

Instructor Office

MT 116 Macon Cove

Instructor Phone

901-333-4436

Course Information
Course Description

This course is designed for math remediation prior to taking algebra-intensive courses. This course covers essential algebra topics such as roots and radicals, factoring polynomials, functions (domain and range), simplifying rational expressions and solving rational equations. It also covers solving quadratic equations, and graphing quadratic functions and exponential functions, and simplifying logarithmic expressions. Note: this course will not satisfy general education math requirements for associate degrees or technical certificates.(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.)

Student Learning Objectives

Through a blend of critical thinking skills and the use of technology:

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

Module 2:

 

  1. Students will demonstrate the ability to factor trinomials of the form  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.  Students will demonstrate the ability to simplify complex rational expressions by multiplying by a common denominator. Students will be able to identify and solve rational equations.

2. Students will be able to use rational equations to solve application problems.

3. Students will demonstrate the ability to solve problems involving direct and inverse variation.

4.Students will be able to find square roots of perfect squares.

5. Students will be able to approximate square roots.

6. Students will be able to evaluate radical functions.

7. Students will demonstrate the ability to use the definition for rational exponents of the form

8. Students will be able to use the definition for rational exponents of the form .

9. Students will demonstrate the ability to add, subtract, and multiply radical expressions.

10. Students will be able to rationalize denominators of radical expressions.

11. Students will be able to solve equations involving one radical expression.

12. Students will be able to use radical equations and models to solve application problems.

13. Students will demonstrate the ability to simplify powers of i, and add, subtract, and multiply complex numbers.

14. Students will be able to solve quadratic equations using factoring and the quadratic formula.

  1. Module 4:

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

Note: this course will not satisfy general education math requirements for associate degrees or technical certificates.(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 a modularized course that requires 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.

Specific Course Requirements

 

 Lecture

These are video lectures covering the topics in the homework assignment. These videos can be watched and rewatched. Students must make 100% (watch all videos) to move on in the module.

It is recommended that students watch these videos at home so that time in class can be spent working on math problems with  individualized instruction by their instructor.

 Homework

Students must make 80% or higher to move on in the curriculum.

Contains built-in tutorials, step-by-step instructions for each problem. Can be worked and reworked as much as needed.

Self-Check Quiz

Students must make a 70% or higher to move to the Exam Prep.

Students get 4 attempts.

The quiz is timed at 90 min.

 

Students should use the quiz to assess how well they understand the material without the built-in tutorials; and how prepared they are to take the closed-book exam.

More Practice

Students who do not make a 70% or higher on the quiz, must complete this homework assignment at 100% to move on.

Only missed quiz problems are included in this assignment, and it contains built-in tutorials, step-by-step instructions for each problem.

 Exam Prep

This assignment narrows down the topics and contains practice problems to prepare the students for the Module Exam. Students must make a 90% on this assignment before taking the Module Exam.

 

Contains built-in tutorials, step-by-step instructions for each problem. Can be worked and reworked as much as needed.

 Module Exams 20% of total average.  Each module exam counts as  5% of total average.

The module exams are not proctored, Students who make 70% or higher can move to their next module.

Students have exactly 3 attempts at the exam. The exam is timed at 90 min. This exam does not contain any built-in tutorials.

A Proctored Midterm Exam (40% of final average) and Final Exam (40% of your final average) are required regardless of your average.

Additional Course Requirements

  • A purchased access code to MyLabsPlus and a TI- 83 or TI-84 graphing utility calculator

  • 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, and good time-management skills.

  • Be able to come on campus to take the proctored Midterm and Final Exams.

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

MyLabsPlus student access code The ebook is embedded in the course: Intermediate Algebra, by Trigsted, Gallaher, and Bodden, 2nd edition.

Supplementary Materials

TI-83 (plus) or TI-84 (plus) graphing utility Homework Folders: Students are required to keep a 3-ring binder with dividers with the following sections: (1) Lecture Notes (2) Homework (3) any other materials that will help prepare you for module exams.

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

    Note:  Final exam is comprehensive and covers all four modules

Grading Scale
Assessment and Grading
Method of Evaluation

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

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

    Final exam is comprehensive and covers all four modules

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.

Incomplete Grades: Incomplete grades will be given only in very rare circumstances.   Generally, to receive a grade of “I”, a student must have taken all examinations, be passing, and after the last date to withdraw, have a personal tragedy occur which prevents course completion.

A student who receives an “I” grade must complete all required work and remove the incomplete “I” grade by the deadline indicated on the academic calendar. Failure to complete work by the deadline results in automatic failure. A grade of “F” will be posted for the course on the student’s permanent academic record. Upon the student’s completion of the required work, the instructor of record will calculate and post the student’s earned grade by filing a signed Change of Grade form with the Admissions and 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.

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.