COLLEGE ALGEBRA
MATH 110

Southwestern   
Adventist University 
 
   Distance Education Lawrence E. Turner, Jr., Ph.D.  


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Course Syllabus

ADP

autumn 2007—

I.   DESCRIPTION

MATH 110 COLLEGE ALGEBRA 3 credits

College Algebra is a study of equations, inequalities, certain classes of functions (polynomial, rational, exponential, and logarithmic), and their graphs and systems of equations.
Prerequisite:  MATH 012 with a grade of at least C, or high school algebra II with a grade of at least a C and acceptable M.A.P. recommendation, or permission of the department.

The Bulletin, 2007-2008, Southwestern Adventist University

II.  LEVEL

This course is equivalent in content to a high school algebra II course for university freshmen. Thus it builds upon the foundation provided by high school algebra I or an equivalent course. However, high school algebra II is recommended. This College Algebra course is considerably more demanding than the high school course. It meets the General Education mathematics requirement and all or a portion of the mathematics requirement for specific degree programs. It does not apply toward a Mathematics major or minor.

III.  OBJECTIVES

The general objectives of this class include:
  1. to provide practice in the operations of elementary algebra,
  2. to give experience in the application of algebra,
  3. to teach logical problem solving skills,
  4. to teach the properties and manipulation of real numbers,
  5. to introduce complex numbers,
  6. to discuss the graphs of simple functions,
  7. to present exponential and logarithmic functions,
  8. to show how to solve systems of linear equations.

This course is designed to meet fully or partially the following General Education objectives:

1.Expose students to broad areas of knowledge.
 a.Evaluate algebraic and numerical expressions
 b.Solve equations and inequalities
2.Encourage the improvement and refinement of students' academic skills.
  Utilize interpretive reasoning, strategic reasoning, and adative reasoning in all academic subjects.

As with any mathematics course the General Education objectives 1a, 1b, and 2 are addressed with every assignment and test.

IV.  TEXT

Required:

    Barnett, Raymond A., Ziegler, Michael R., and Byleen, Karl E., College Algebra, 7th ed., McGraw-Hill, Inc., 2001.   ISBN 0-07-236868-3


text, 7th edition


The text that was used for the video-taped lectures and the on-campus assignments is the 6th edition (1999) by Barnett, Ziegler, and Byleen. At the present this edition is hard to find as it has been superceded by later versions. Generally later editions are very similar in content with possible variations in the arrangement of the material and, typically, a new set of problems.

Using a later edition should present little difficulty for study except for the exact problem set for each homework assignment. The assignment set is from the 7th edition.

A later edition should serve you well!

V.  OUTLINE

The material will cover chapters 1 through 7 (with certain portions omitted) of the text.   
  1. Introduction
    1. Course requirements
    2. Grading

  2. Basic Algebraic Operations
    1. Review of elementary algebra
    2. Real numbers
    3. Polynomials
    4. Factoring
    5. Rational expressions
    6. Exponents
      1. integer
      2. rational
      3. radicals

  3. Equations
    1. Linear equations
    2. Absolute values
    3. Complex numbers
    4. Quadratic equations

  4. Inequalities
    1. Linear
    2. Absolute values

  5. Functions
    1. Domain and Range
    2. Rational functions
    3. Composition
    4. Inverse functions

  6. Graphs
    1. Straight lines
    2. Circles
    3. Graphing functions
      1. parabolas
      2. rational functions

  7. Polynomial Functions
    1. Long division
    2. Synthetic Division
    3. Remainder Theorem
    4. Factor Theorem
    5. Fundamental Theorem of Algebra
    6. Zeros of polynomials
      1. rational
      2. complex

  8. Exponential and Logarithmic Functions
    1. Exponential functions
    2. Logarithmic functions
    3. Logarithms

  9. Systems of Equations
    1. Linear equations
    2. Elementary solutions
    3. Cramer's Rule

  10. Matrices
    1. Augmented matrices
    2. Gauss-Jordan Elimination
    3. Operations
      1. addition
      2. multiplication by constant
      3. matrix multiplication
    4. Inverse
    5. Matrix equations
    6. Determinants

VI.  INSTRUCTOR

 Lawrence E. Turner, Jr., Ph.D.
Department of Mathematics and Physical Sciences
Southwestern Adventist University
Keene, TX   76059
Scales Hall 213A
phone:   (817) 202-6708
e-mail:turner@swau.edu

office hours

VII.  STRUCTURE

  1. Course Web Site

    Materials will be posted on the course web site:

    This web site includes such items as

    • syllabus
    • schedule and assignments
    • unit objectives
    • handouts
    • sample tests

    The course web site may also be accessed via the campus D2L services.

  2. Course Presentation

    The on-campus lectures were recorded (originally on VHS and now converted to DVD). These are available from the ADP Office and are normally sent to you when you register for this course. If you have not received them by the second week of the semester, then you should contact the ADP Office immediately.

    At the time the lectures were recorded the edition of the text in use was the 6th edition. Currently, this is now hard to obtain. The required text is the 7th edition. While the chapter and section structure of the two editions of text are the same, recorded references to specific page numbers or problem numbers may not be the same as your text—but should be close!

  3. Schedule

    A schedule of material covered from the text, homework assignments, and tests is provided. This schedule is adopted from the regular lecture oriented course taught on-campus; that is, the expectations, grading scheme, material covered, assignments, and tests are the same as or similar to in number and difficulty as for on-campus students. The office schedule of the teacher is also available to facilitate telephone calls.

  4. Deadlines

    The ADP or ADEC course is to be completed within the deadlines for the semester.

    You should arrange your study time to progress through the material in a regular and orderly fashion that permits sufficient time for assignments to be submitted, graded, and returned and tests taken by the ultimate deadline for the course. Mathematics is best studied in a regular progression. It is best not to allow to much time to elapse between the study of the material. It is best not to attempt to absorb a major portion of the course in a few days. You are urged to plan a regular study time and schedule at the pace that is appropriate for you and to adhere to that time schedule.

    Optimum progress through a mathematics course involves study, working on an assignment, getting feedback when the assignment is graded, more study and review, and finally sitting the test. The assignments provide opportunity to practice and prepare for the tests which are the primary determination of how well you understand the material. This is the primary reason that all homework for a particular section is due at or before the time of the test. For a regularly scheduled course on-campus this order is maintained by specific deadlines and class meetings. For the ADP or ADEC course, you have more flexibility. While it is possible to turn in all the homework at the time the test is sat, it is to your advantage to submit the homework as is it done so that it can be graded and returned before sitting the test.

  5. Communications

    Close communications between the student and teacher are important to success. The teacher has a responsibility to attempt to respond to all questions, assignments sent in for grading, requests for tests, etc. in a quick and timely manner and provide every student with feedback about his or her progress. You have a responsibility to inform the teacher of delays, problems, etc. that might affect the orderly study of the material and completion of the course requirements. If you fail to communicate or delay communicating with the teacher or the ADP office, then your grade may be affected. The best learning environment is where both the student and the teacher have an understanding of the pace and progress.

    The teacher may be contacted via mail, phone, or e-mail.

    Because of the semester time-scale, e-mail access is required to reduce the "turn-around" time for communications.

    Contact points:

     Homework AssignmentsSent directly to the teacher.
     Test RequestsMade to the teacher.
     Incomplete RequestsRequest made to the teacher and the ADP office.

    Generally graded homework assignments and Progress Reports are returned to you via snail-mail. E-mail is not normally used to send you grade information since it is less secure and private than regular mail. However, you may request, in writing, to have grade information sent to you via e-mail. There is a web-based form for you to fill it, print, and sign to authorize the sending of grade information via e-mail.

  6. Proctor

    Your proctor is an important part of the total process. It is important to select a proctor that is responsible to the needs of academic security and respectability. Each test that is mailed to your proctor will be enclosed in a sealed inner envelope that is to be opened only at the time you sit the test. Also enclosed is a Test Administration Form that is to be filled out by the proctor and returned with the test in the enclosed addressed envelope. The Test Administration Form must be filled out, signed, and returned in order for the test to be permanently recorded.

    If for some reason, you do not sit the test, then the test in its original sealed inner envelope should be returned to the teacher.

  7. Tutors

    You may desire to arrange for a local private tutor to help with the study of the material. This practice is recommended. However, it is important that the role of any tutor is only to help you understand the material. The tutor should not work homework assignments or "grade" them. It is a good study strategy to work other problems for practice with answers in the back of the book or to have the tutor check them; however, the assigned homework problems are part of the grading process. The tutor's role is only to explain, answer questions, work example problems, etc.

  8. Calculator

    A calculator may be used as an assistance for homework, tests, and the final exam. Usually, the answer will need to be expressed in terms of algebraic variables, and numerical values will need to be expressed in terms of integers, fractional values, or roots of integers. However, there are sections where a calculator will be required. These involve the exponential and logarithmic functions. While any scientific calculator that includes the usual mathematical functions may be used, a specific one that is suggested for use in the on-campus course is the SHARP EL-520VB.

  9. Academic Honesty

    All work turned in for credit including homework assignments, tests, and the final exam is to be the work of the individual. For homework, you ask questions, discuss the problem and solution, and provide or obtain minimal assistance. Copying of written answers, and solutions is contrary to the accepted procedure for this course. For the tests and the final exam, no consultation is permitted. Violation of the conditions for academic honesty will be dealt with according to the policies of Southwestern Adventist University and may result in an F being recorded for the course grade or other penalties.

VIII.   GRADING

  1. Homework
    1. All assigned activities are expected to be done and contribute toward the final grade.
    2. Homework is primarily an individual activity, and hence should reflect your unique solution.
      1. it is appropriate:
        1. to consult with others for assistance.
        2. to ask questions of the teacher.
        3. to get help on using computers, calculators, or other equipment.
      2. it is NOT appropriate:
        1. simply to copy the work of others.
        2. allow others to copy or have access to your work where copying might occur.
    3. For all problems, show work, not just final answers—the major portion of the points will be based upon the work and partial credit based upon the work shown will be given where appropriate.
      1. for lengthy solutions, provide a few-word description of each major step.
      2. for simple answers, provide a short explanation.
    4. All assignments should be turned before the test covering that material.
      1. generally, turn in assignments as they are done with sufficient time for them to be returned before a test—if time is short, then the last assignment or assignments may be turned in to the proctor of the test at the time the test is taken—they are sent in with the test.
      2. it is particularly important that the first assignment be sent in as soon as is it finished to have it graded and returned in order to find out if the expectations of the teacher are being met.
      3. partial assignments are to be discouraged; however, if additional problems are to be handed in later, then attach them with any graded returned problems from the same assignment set.
      4. nothing will be accepted, even for partial credit, after the beginning of the Final Exam.
    5. All material to be turned in must be neat.
      1. put on 8.5x11 inch paper—no "torn off" ragged-edged sheets from a spiral bound notebook.
      2. turn in final solutions only, not scratch paper (if necessary, recopy!)
      3. label all problems prominently, add verbal explanations, and mark final answers.
      4. arrange all material in order.
      5. do not mix problems from different assignment sets—if submitting several assignments at one time, begin each assignment on a new page.
      6. fasten all papers of a given assignment together with a staple in upper-left corner, make certain that your name and the assignment (chapter and section) are on the material, and mail to the teacher.
    6. Assignments that are the wrong set of problems (e.g. correct numbers from wrong chapter) may be redone for full credit.
      1. turn in correct set with original (wrong set) for regrading.
      2. deadline is the test covering that material.
    7. Extra credit assignments will be given.
      1. if the total earned for homework exceeds the total possible for homework, then the total possible is used in the grade calculation.
      2. extra effort on a particular problem may be rewarded with a few extra points given at the discretion of the teacher, that is, any such points should never be expected or demanded, they are solely a gift in recognition of extra effort.
    8. All assignments presented to the teacher will be given a final grade: that is, there is no "pre-grading" nor can assignments be "corrected" after grading for additional points.
    9. No makeup work on assignments on an individual basis—assigned extra credit is available for all students.
    10. Questions concerning grading should be addressed to the teacher as soon as possible up to one week after the assignment is returned—where appropriate, upward changes for errors in grading will be made.
    11. Counts 28% toward the final grade.

  2. Tests
    1. Four will be given.
    2. Will cover material designated, including homework and assigned reading in Text.
    3. Generally, one hour, no notes, closed book.
    4. A calculator may be used, and for some tests required.
    5. Typically problem, but may also include short answer, discussion, or explanation.
    6. The assigned homework should be done and submitted before sitting a test—ideally it can be returned in time for your test preparation. Some assignments must be submitted from the first section of the material before the first test is sent.
    7. You need to contact the teacher at least one week before you wish to sit a test and make arrangements for each test—the simplest means is to include a note with your last assignment for that section.
    8. The test will sent to the designated proctor—contact him or her to arrange for a time to sit the test.
    9. It is expected that the test will be taken within a week or two—if there is a delay, contact the teacher.
    10. Normally only one test is sent to a proctor at a time. An exception due to an impending deadline or anticipated delay due to the teacher being away from campus would be to have two outstanding tests or final at a given time.
    11. The Test Administration Form for the test must be filled out and signed by the proctor in order for the test score to be permanently recorded.
    12. Each counts 12% toward the final grade.

  3. Final Examination
    1. Approximately half covers the material of the last section, and half is comprehensive.
    2. 2 hours, no notes, closed book.
    3. A calculator may be used.
    4. Will be similar in format to the tests.
    5. Request the final exam from the teacher and arrange for a time with the proctor to sit the exam—if there is a delay, contact the teacher.
    6. Normally the final is not sent to a proctor until the last test has been received. An exception due to an impending deadline or anticipated delay due to the teacher being away from campus would be to have two outstanding tests or final at a given time.
    7. All materials to be submitted for grading should have been sent to the teacher prior to sitting the final exam or given to the proctor at the time of the final exam.
    8. The Test Administration Form for the final exam must be filled out and signed by the proctor in order for the exam score to be permanently recorded.
    9. Counts 24% toward the final grade.

  4. Summary

     Homework    28%
     Test 112%
     Test 212%
     Test 312%
     Test 412%
     Final  24%
      100%

    1. Grades will be distributed approximately:

       93.0%100%  A  65.0%  72.9%  C
       90.0%  92.9%  A–  62.0%  64.9%  C–
       87.0%89.9%  B+  59.0%  61.9%  D+
       79.0%86.9%  B  52.0%  58.9%  D
       76.0%78.9%  B–  50.0%  51.9%  D–
       73.0%75.9%  C+  0.0%  49.9%  F

    2. Plus and minus modifiers will be included on all midterm reports to the students; however, only the "letter" grade will be turned in to the Record's Office and is recorded on the official transcript.
    3. Generally the weighted percentage will be rounded to the nearest 0.1%. The grade intervals may be lowered slightly depending upon the final class distribution; that is, the A− grade may be lowered to 89 or 88%. The percent level for a given grade will not be raised.

  5. Progress Reports

    1. Regular progress reports will be sent to you—generally just after each test.
    2. These will give the total points earned to date in each grading category as well as the overall percentage and earned grade at that point in time.
    3. Generally plus and minus modifiers will be given to grades near the grade interval limits; however, only the letter grade is reported to the Record's Office and is recorded on the official transcript.

  6. Withdrawal

    If for some reason, you request a Withdrawal or it is decided to withdraw you administratively, then all test material that has been previously sent to the proctor needs to be returned to the teacher (in its original sealed envelope) before the Withdrawal is recorded. If the test material is not satisfactorily returned within one month, then a grade of F may be recorded.

  7. Incomplete

    Any Incomplete request will be dealt with in accordance to the university policy on incomplete grades.

 

© 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008 by Lawrence Turner