CLINTON COMMUNITY COLLEGE
Plattsburgh,
New York 12901
Course
Syllabus
MAT
103
Finite Mathematics
Fall
2007
PROF.
Helinger
Office:
Room 535
No. SemesterHours-3
Office Hours: No. Credit Hours – 3
No. Contact Hours 3
Mon
12-12:50PM
Tues.9:30-10:20AM
Wed. 10-10:50 AM
Thur.
Fri. 10-10:50 AM
E-mail:
michael.helinger@clinton.edu
I. COURSE DESCRIPTION:
This course emphasizes mathematical skills and techniques applicable to business, life sciences and social sciences. Course topics include linear functions, quadratic functions, mathematics of finance, systems of equations, matrices, linear programming, set theory, basic probability and combinatorics. The use of a graphing calculator is required for this course to further the exploration of these topics and their applications.
This course meets the SUNY
General Education course requirements for mathematics.
II. PREREQUISITE: MAT100-Introductory Algebra or equivalent
III. COURSE OBJECTIVES:
As the result of instructional activities, students will be able to:
1. Determine the x- and y- intercepts of a graph
2. Calculate the slope of a line
3. Write an equation of a line given the y-intercept and the slope
4. Write an equation of a line given one point and the slope
5. Write an equation of a line given one point and the equation of a parallel line
6. Write an equation of a line given one point and the equation of a perpendicular line
7. Write an equation of a line given two points
8. Write an equation of a vertical line
9. Write an equation of a horizontal line
10. Use a graphing calculator to draw a scatterplot
11. Use a graphing calculator to find a linear regression model, where appropriate
12. Use a linear regression equation to make predictions
13. Solve a linear inequality
14. Solve an absolute value inequality
15. Determine if a given relation is a function
16. Identify the domain of a function
17. Evaluate a function
18. Graph a function
19. Create cost, revenue and profit functions
20. Find a break-even point
21. Find the equilibrium quantity and price given supply and demand functions
22. Determine whether a parabola opens upward or downward
23. Determine the vertex of a parabola
24. Determine the axis of symmetry of a parabola
25. Write an equation of a parabola given the vertex and a point
26. Determine the maximum or minimum value of a quadratic function
27. Use a graphing calculator to find a quadratic regression model, where appropriate
28. Use a quadratic regression equation to make predictions
29. Use the simple interest formula
30. Use the compound interest formula
31. Determine whether a system of equations is consistent and independent, dependent, or inconsistent
32. Solve a system of linear equations graphically
33. Solve a system of linear equations algebraically using substitution
34. Solve a system of linear equations algebraically using elimination
35. Solve a system of linear equations using a matrix
36. Graph a linear inequality in two variables
37. Graph a system of linear inequalities and identify the feasible region
38. Formulate a linear programming model
39. Solve a linear programming model graphically
40. Define set, subset, empty set, universal set
41. List the elements of a set
42. Use the set operations of union, intersection, and complementation
43. Draw Venn Diagrams to illustrate relationships between sets
44. Determine the sample space of an experiment
45. Determine if two events are disjoint (mutually exclusive)
46. Calculate basic probabilities
47. Use the addition rule for probability
48. Use the complement rule for probability
49. Calculate a conditional probability
50. Determine if two events are independent
51. Use the product rule for probability
52. Calculate a factorial
53. Distinguish between a permutation and a combination
54. Calculate a permutation
55. Calculate a combination
IV. REQUIRED TEXTBOOK AND
MATERIALS:
REQUIRED TEXTBOOK:
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, 11th edition, by Raymond A. Barnett, Michael R. Ziegler, and Karl E. Byleen. Prentice Hall.
ISBN # 0-135-14385-3
REQUIRED MATERIALS:
A graphing calculator (the TI-83, TI-83 Plus, or TI-84 Plus are required).
V. GENERAL TOPICS OUTLINE:
1. Linear Equations and Inequalities (textbook chapter 1)
including intercepts, slope, writing equations, graphing, inequalities, linear regression
2. Functions and Graphs (textbook chapter 2)
including identifying functions, evaluating functions, graphing, domains, applications
3. Quadratic Functions (textbook chapter 2) Exam 1
including graphing, vertex, axis of symmetry, quadratic regression, applications
4. Mathematics of Finance (textbook chapter 3)
including simple interest, compound interest
5. Systems of Linear Equations and Matrices (textbook chapter 4)
including solving 2x2 systems of linear equations algebraically and graphically, solving 3x3 systems, applications Exam 2
6. Linear Programming (textbook chapter 5)
including graphing systems of linear inequalities, linear programming
7. Set Theory (textbook chapter 7) Exam3
including definitions, Venn diagrams, set operations, applications
8. Probability and Combinatorics (textbook chapter 8)
including addition rule, complement rule,
conditional probability, independence, permutations, combinations,
applications FINAL EXAM
VI.
METHODS OF EVALUATION (INCLUDING THE CALCULATION OF COURSE GRADE) Final Grades—90%
of your final grade will come from the average of your four (4) one-hour
exams,the last of which will be a comprehensive final exam.
These hour-exams will be announced at lest 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 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.
The
next 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.
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 Fall 2007 Administrative Calendar, the last day to drop
without penalty is November 2, 2007. 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 November 2, 2007.
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.