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                                                                                  CLINTON COMMUNITY COLLEGE

Plattsburgh , New York 12901

 

Course Syllabus

 

 

 

 

 

 

 Mat 100                                                                                  PROF. Helinger

Spring 2008                                                                          Introductory AlgebRA

Office:  Room 535                                                                 No. SemesterHours-4

Office Hours:                                                                        No. Credit Hours – 4

                                                                    

                                                                                               No. Contact Hours 4

      Mon.  12-12:50P.M. ;     

      Tues.9:30-10:20AM

      Wed. 10-10:50

      Thur. None

      Fri. 10-10:50 AM                        

                 

Telephone:  (518) 562-4196

E-mail:  michael.helinger@clinton.edu

 

I.    Course Description

This course covers basic algebraic skills essential to the study of mathematics.  Course topics include linear expressions, equations and inequalities; systems of equations and inequalities; polynomial, rational and radical expressions and equations; and graphing on the coordinate plane.  Applications to various fields of study will be explored.  This course counts as free elective credit only. 

Prerequisites: MAT098 – Prealgebra or equivalent

.

 

II.  REQUIRED TEXTBOOK AND MATERIALS: 

 

REQUIRED TEXTBOOK

Introductory Algebra, 3rd  edition; Alan S. Tussy and R. David Gustafson. Brooks/Cole.

ISBN #:0-534-40735-8

 

REQUIRED MATERIALS:

A scientific calculator with at least square, square root and memory functions will be required.

 

III. Course Objectives

Students satisfactorily completing this course will be able to:

  1. Communicate using the appropriate mathematical vocabulary
  2. Identify algebraic expressions and equations
  3. Use appropriate mathematical notation
  4. Translate word problems into mathematical expressions or equations and vice versa
  5. Complete tables of values using provided equations
  6. List the factors of a given number and give the prime factorization of a given number
  7. Build up a given fraction to an equivalent fraction with the indicated denominator and simplify a given fraction
  8. Convert an improper fraction to an equivalent mixed number and vice versa
  9. Perform operations with real numbers
  10. Convert between fractions, decimals and percentages
  11. Order given real numbers and graph given real numbers on the number line
  12. Use the order of operations to simplify algebraic expressions
  13. Evaluate an expression by substituting in given values
  14. Simplify a given expression by combining like terms and by using the distributive property
  15. Solve a given equation, formula and inequality
  16. Write clear, coherent solutions that demonstrate an understanding of the math concepts
  17. Logically determine if solutions make sense
  18. Solve word problems within the context of  business, economics, entertainment, health, science, sports, and technology applications
  19. Graph a given point on the coordinate plane and identify a point that has been graphed
  20. Determine the slope and intercepts of a linear equation
  21. Place a linear equation in each of the following forms:  slope-intercept form, point-slope form, or general form
  22. Write and graph linear relationships
  23. Determine if given linear functions are parallel, perpendicular or neither
  24. Evaluate functions at a point
  25. Determine if a mathematical relationship is a function
  26. Determine the domain and range of a function
  27. Simplify expressions involving exponents
  28. Convert numbers in standard notation to scientific notation and vice versa and use to simplify computations
  29. Determine if a given expression is a polynomial and the degree of a given polynomial
  30. Perform operations with polynomials
  31. Use various factoring techniques to factor polynomials (including factoring out GCF, factoring difference of squares, factoring by grouping, and factoring trinomials).
  32. Solve a quadratic equation by factoring and by using the quadratic formula
  33. Determine if a given ordered pair is a solution to a system of linear equations or inequalities
  34. Solve a system of linear equation by the graphing method, the substitution method and the addition method
  35. Solve linear inequalities and systems of linear inequalities and graph their solution set
  36. Simplify rational and radical expressions and complex fractions
  37. Perform operations with rational and radical expressions
  38. Solve simple radical and rational equations
  39. Convert expressions with rational exponents to radical form

 

IV. Course Organization and Methods

The material shall be presented by a combination of lecture together with class discussion.  The final grade will be computed by taking 60% of the average of 3 1-hour exams, 10% of the average of announced and unannounced quizzes, and 30% of the Final Exam Grade.

 

V.  Course Outline

 

1.                  An Introduction to Algebra (textbook chapter 1)

including describing numerical relationships, fractions and decimals, real numbers, operations with real numbers, solving equations, exponents and order of operations, algebraic expressions

2.                  Equations, Inequalities, and Problem Solving (textbook chapter 2)

including solving equations, problem solving, simplifying algebraic expressions, formulas, inequalities

3.                  Graphs, Linear Equations, and Functions (textbook chapter 3)

including graphing using the rectangular coordinate system, equations containing two variables, graphing linear equations, the slope of a line, describing linear relationships, writing linear equations, functions

4.                  Exponents and Polynomials (textbook chapter 4)

including integer exponents, scientific notation, polynomials, operations involving polynomials

5.                  Factoring and Quadratic Equations (textbook chapter 5)

including factoring out the greatest common factor, factoring by grouping, factoring trinomials, solving quadratic equations by factoring

6.                  Rational Expressions and Equations (textbook chapter 6)

including simplifying rational expressions, operations with rational expressions, complex fractions

7.                  Solving Systems of Equations and Inequalities (textbook chapter 7)

8.                  Roots and Radicals (textbook chapter 8)

including evaluations square and higher order roots, operations with radicals, solving radical equations and rational exponents

9.                  Quadratic Equations (textbook chapter 9)

solving equations using the Quadratic Formula

 

           

VI. Methods of Evaluation

Final Grades— The final grade will be computed by taking 60% of the average of 3 1-hour exams, 10% of the average of announced and unannounced quizzes, and 30% of the Final Exam Grade.

 

    These hour-exams will be announced at least one week in advance, and a complete outline of the hour exams will be given in class.  There will also be an optional review class before each hour exam.

 

In accordance with the College policy in the catalog, credit will be taken off for incorrect spelling.  Repeated errors in the same word on the same exam will not be taken off more than once.  If these errors appear on Part I, they will result in loss of all credit for that particular part of a problem.    Abbreviations will not be permitted as a substitute for correct spelling.

 

Ten per cent (10%) of your final grade will come from your average on the numerous quizzes.  These quizzes will be announced or unannounced.  If it is unannounced it can only go back one week in our work.  The quizzes will vary from extremely simple quizzes to very difficult quizzes to determine class comprehension and retention.  Hour tests will be graded one week after the hour exam, but quizzes will be graded at the earliest convenience of the instructor, usually before the relevant hour exam.

 

The final Exam has been scheduled for May 14 12:40-3:10 and Fri. May 16 12:40-3:10

 

 

 

Mid-semester Grades—Your mid-semester grade will be based on a straight percentage of the points accumulated thus far from both quizzes and hour tests.  For example, if there had been a one-hour exam and fifty points of quizzes by mid-semester, the total possible would be 150.  To get an “A” at mid-semester you would need 90% or 135 points in any combination.  Thus, you could get 85 on the hourly and 50 points on the quizzes and have an “A” for mid-semester.

 

VII. ATTENDANCE POLICY

The College policy on attendance states:

 

“When a student misses more than 15% of the class meetings for a particular course, his or her absence will be considered excessive.  Excessive absence may result in a student being involuntarily withdrawn from the course by the Registrar upon recommendation of the instructor and may in turn affect financial aid.  In such cases, the student will receive a grade of “WY.”

 

In this course, students exceeding 15% absence will be required to meet with the instructor in his            office to discuss reasons for absences and to evaluate the student’s situation and progress.  If possible, a strategy for completing the course will be jointly drawn up and signed.  Failure to comply with this procedure may result in the student’s being involuntarily withdrawn with a grade of “WY.”  When a student comes more than 10 minutes late, or leaves early for any reason, it will be counted as 1/3 of an absence.  When a students misses more than ½ of the class it will be counted as an absence.”

 

In general, I do not give “WY’s” past mid-semester grades.  If you disappear or exceed 15% absence after mid-semester grades, you can rest assured that you have an “F” for the semester.        According to the Spring 2008 Administrative Calendar, the last day to drop without penalty is April 2, 2008.  If you don’t want an “F” for a final grade, but have an average below 60%, you must accept the responsibility to WITHDRAW BY April 2, 2008.

 

 

                  IF CIRCUMSTANCES BEYOND YOUR CONTROL PREVENT YOU FROM COMING TO            AN EXAM OR QUIZ, YOU MUST NOTIFY ME BEFORE THE TIME OF THE EXAM OR                QUIZ OR AS SOON THEREAFTER AS POSSIBLE, SO THAT, IN GENERAL, YOU CAN TAKE THE EXAM OR QUIZ BEFORE THE REGULARLY SCHEDULED EXAM. MAKE-UPS WILL BE GIVEN ONLY FOR       DOCUMENTED ACADEMIC CONFLICTS (e.g.           field trips, athletic buses officially leaving before the exam) OR DOCUMENTED MEDICAL EMERGENCIES (e.g. I must see receipt signed by Doctor’s office stating you were there on the day and time of the exam), or         DOCUMENTED MECHANICAL EMERGENCIES (e.g. a receipt from the tow truck that jump started your car or towed it out of the ditch that indicates that your vehicle was not in service on the day and time of the exam).Obviously notes from Mommy or Daddy have no place in a college setting. APPOINTMENTS FOR MAKE-UPS MUST BE REQUESTED AS SOON AS POSSIBLE, BUT NOT LATER THAN YOUR FIRST DAY BACK TO CLASS AFTER THE EXAM. IF YOU NOT REQUEST THE MAKE-UP BY THE END OF YOUR FIRST DAY BACK TO CLASS, THE CONSEQUENCE WILL BE A ZERO, 0, FOR THE EXAM.

 

No more than one appointment will be scheduled per person per make-up, whether it is for an hour test or a quiz.  If you miss your appointment for a make-up, you receive a zero for the grade.

 

VIII. Academic Honesty

All students are expected to behave with academic honesty.  It is a serious matter (please see College catalog - "Academic honesty is expected of all Clinton Community College students. It is academically dishonest, for example, to misrepresent another person’s work as one’s own, to take credit for someone else’s work or ideas, to accept help on a test, to obtain advanced information on confidential test materials, or to intentionally harm another student’s chances for academic success.").

 

In this class students caught cheating will have three choices.

 

1.   The student may take an immediate grade of “F” for the course.

2.   The student may withdraw from the course immediately.

3.   The student and I will go immediately to the Office of the Vice President for Academic Affairs and I will hand him or his secretary a copy of the evidence.  I will then follow the recommendation of the Vice President in deciding the penalty.

 

IX. Grading Scale

      Numerical equivalents of letter grades for this course.

 

      Letter Grade           Numerical Interval

               A                            90-100

               A-                            87-89

               B+                            84-86

               B                              80-83

               B-                             77-79

               C+                            74-76

               C                              70-73

               C-                            67-69

               D+                            64-66

               D                              60-63

 

X.  Special Reminders

If you have, or suspect you may have, any type of disability or learning problem that may require            extra assistance or special accommodations, please speak to Laurie Bethka, Room 420M in the     Tutoring Center, for further assistance.

 

Please remember to turn off all cell phones before coming to class.  CELL PHONES MUST BE TURNED OFF BEFORE COMING INTO THE CLASSROOM.  The first time a cell phone rings in the classroom the entire class will be warned.  From then on, when a cell phone rings, that person will be required to leave for the remainder of the class.  NO EXCEPTIONS.

 

Also, please be advised that I consider carrying on private conversations on cell phones or in person during class as disruptive behavior, and therefore, a violation of the Code of Student Conduct. Persons engaging in such behavior will be required to leave for the remainder of the class; such behavior can result in suspension from class.