MGF 1106
Reference # 409406
Summer 2007
Chris Harris
E-Mail address: charris@math.miami.edu
Telephone: (305) 237-3935
Office hours (in room 2223): Mon 4:30-5:30, Tues 12-1,
Weds 4:30-5:30
Textbook:
Blitzer, Thinking Mathematically, 3rd ed.
Prerequisite: MAT 1033 (Intermediate Algebra) or suitable placement score.
Note: This course is not designed for students whose majors require College Algebra,
Statistics, or higher-level courses. Students who are required to take the CLAST should
do so immediately upon successful completion (C or better) of this course. These
students should attend CLAST workshops offered by the College, and review extensively
skills of arithmetic and algebra as described in the CLAST Pack for Mathematics,
available in the Math Lab.
Grading: Homework will be collected periodically at the discretion of the instructor.
Homework must be turned in neat and stapled. There will also be five quizzes, four
exams, and one cumulative final exam. If you miss a homework or quiz the grade will be
a zero. If you miss ONE exam with an excusable reason, then the grade of the final exam
replaces the grade of the missed exam. There are absolutely NO make-ups.
Your grade will be distributed as follow:
Homeworks:
Quizzes:
4 exams:
Final exam:
20%
20%
40%
20 %
Your final grade will be distributed according to the following scale:
Average of 90-100%
Average of 80-89%
Average of 70-79%
Average of 60-69%
Average below 60%
A
B
C
D
F
Incomplete: The grade of I is generally not given, and may not be given to any student
who is not passing the class with a grade of C or better.
Assistance: You can obtain assistance for mathematics classes in the Mathematics
Laboratory, room 2223. There, you will find course-related videotapes and computer
software, and tutors that can help you to successfully complete this course. The Math
Lab is open these hours: MTWR 8:00 AM-9:00 PM, F 8:00 AM-4:00 PM, Saturday
8:00 AM-4:00 PM. You do not need an appointment. The telephone number for the lab
is 305-237-3834. If you have a problem with the Math Lab, please contact Jose De Paz
at 305-237-3971.
Classroom and Laboratory Etiquette: Please refrain from bringing food or drinks into
any classroom, lab, or into the courtyard. Please turn off any cellular phones and set
pagers to "vibrate." You are expected to arrive on time to class, depart when the class has
concluded, and treat others respectfully. You are encouraged to ask questions. The
tutors in the lab must help all the students and take turns; they cannot work with one
student for a prolonged period of time. We are unable to offer one-to-one continuous
tutoring.
Withdrawal: If you feel that you will be unable to complete the requirements for
passing a class, it is important that you drop the class by the college's "drop date" as
established by the registrar's office. You should speak to your instructor prior to making
the decision to drop. Remember that it is your responsibility to drop a class, not the
instructor's. If circumstances such as illness, accident, change in employment situation,
etc., prevent you from continuing to attend your class BEFORE the drop date, speak to
your instructor and see the Dean of Students (room 1201) for your options. If such a
situation occurs AFTER the drop date, you should contact the instructor for information
as to how you can complete the requirements for passing the course.
Registration: It is your responsibility to make sure that you are registered for this
course. Be sure to obtain a copy of your schedule to verify the reference number and that
you do not have any outstanding fees. If your name does not appear on your instructor’s
class roll by the first day of the mini-term as being registered and having paid for the
class, you will not receive a grade for this course, and you will have to retake it next
term, regardless of whether you continue to sit in on the class.
Problems with Instructor: If you are having a problem with your mathematics
instructor, please see that instructor during office hours. Before or after class is generally
not a good time to discuss a problem with an instructor who is either about to start class
or on the way to the next class. If after speaking with your instructor during office hours
you cannot resolve the problem, then you need to visit the chairperson, Dr. Norma Agras
(office 1540) as the next step.
MGF 1106 Mathematics for Liberal Arts I
Competencies
Competency 1: The student will be able to perform the following operations on sets.
a. Find complements, unions, intersections, subsets and apply DeMorgan’s Laws.
b. Draw and apply Venn diagrams.
Competency 2: The student will be able to apply the rules of logic to:
a. Analyze/determine negations, disjunctions, conjunctions and various forms of
conditional statements.
b. Determine the validity of arguments, using symbolic logic and/or Euler circles.
Competency 3: The student will be able to apply the basic counting techniques:
a. The Multiplication Rule (or Fundamental Counting Principle)
b. Combinations
Competency 4: The student will have a working knowledge of basic probability theory,
including being able to:
a. Describe a sample space and an event.
b. Calculate probabilities of simple, compound and conditional events.
Competency 5: The student will have a working knowledge of basic concepts in statistics,
including being able to:
a. Distinguish between sampling methods.
b. Interpret data presented in graphs, charts and tables, as well as relationships
between data sets.
c. Calculate and understand relationships between measures of central tendency.
Competency 6: The student will have a working knowledge of basic concepts in plane
geometry, including being able to:
a. Round measurements; convert and determine appropriate units of measure.
b. Compute perimeters, areas and volumes of various plane and solid figures.
c. Distinguish between the various characteristics of quadrilaterals.
d. Calculate angles in diagrams involving parallel lines.
e. Classify different types of triangles, make angle computations, and apply the
Pythagorean Theorem and Similar Triangles Theorem.
MGF 1106
Topics
Section(s)
Basic Set Concepts
Venn Diagrams and Subsets
Venn Diagrams and Set operations
Set Operations and Venn Diagrams with 3 sets
Surveys and Cardinal Numbers
Statements, Negations and Quantified Statements
Com pound Statements and Connectives
Truth Tables for Negation, Conjunction, and Disjunction
Truth Tables for the Conditional and Biconditional
Equivalent Statements, De Morgan’s Laws
Arguments and Truth Tables
Euler Diagrams
Points, Lines, Planes and Angles
Triangles
Polygons, Quadrilaterals, Perimeter
Area and Circumference
Volume
The Fundamental Counting Principle
Permutations
Combinations
Fundamentals of Probability
Probability with Permutations and Combinations
Events involving Not and Or; Odds
Events involving And; Conditional Probability
Sampling, Frequency Distributions, and Graphs
Measures of Central Tendency
Measures of Dispersion
2.1
2.2
2.3
2.4
2.5
3.1
3.2
3.3
3.4
3.5
3.6
3.7
10.1
10.2
10.3
10.4
10.5
11.1
11.2
11.3
11.4
11.5
11.6
11.7
12.1
12.2
12.3
Suggested
Homework from
the book
1-87
1-73
1-78
1-79
1-29
1-45
1-75
1-35
1-43
1-77
1-43
1-23
1-33, 45
1-42
1-54
1-41
1-37
1-22, 26
1-47
1-40
1-65
1-22
1-77
1-74
1-19, 24, 25, 31
1-51, 60, 61, 62
1-31
Important Dates
SUMMER 2007 (2006-3)
2ND 612-WEEK 1ST 6-WEEK
WEEK
1.
2.
3.
4.
5.
Classes Begin:
Weekday and Evening
Saturday
Last Day to Change Courses without Penalty;
Withdraw from classes with 100% refund
Last Day to Withdraw with Grade of W
Last Day of Classes/Finals
Holidays
M May 7
S May 12
M May 7
S May 12
M Jun 18
R May 10
W May 9
W Jun 20
M Jun 25
F Jul 27
May 26-28
W Jul 4
F Jun 1
F Jun 15
May 26-28
F Jul 13
F Jul 27
W Jul 4