Math 110 Finite Mathematics Fall 2006

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Approved at 2/21/07 University Studies sub-committee. A2C2 action pending.
Math 110
Finite Mathematics
11:00 – 12:20
Class time:
TR
Text:
Sullivan, Mizrahi
Instructor:
Ryan Gegg-Harrison
rgeggharrison@winona.edu
Office Hours:
Mondays & Wednesdays 11 a.m. – 12 p.m. and 1 p.m. – 3 p.m.
Tuesdays & Thursdays 8 a.m. – 10 a.m.
Office:
Stark 209
Fall 2006
Pasteur 229
"Finite Mathematics"
Office Phone: 457 – 2609
Course Web Page:
http://classes.winona.edu/20073000374/ReadOnly/index.html
Course Objective:
Applications of elementary mathematics on matrices, linear programming,
probability, and statistics to real-life problems. This course provides the noncalculus mathematics background necessary for students in business,
management, and social sciences.
Evaluation:
Your grade will be determined based on points earned from homework, quizzes,
labs, and exams. There will be a total of 600 points distributed as follows:
Midterm Exams – 300 points (50%)
Quizzes – 90 points (15%)
Labs – 60 points (10%)
Final – 150 points (25%)
Grading Scale:
90 – 100%
80 –89%
70 – 79%
60 – 69%
Below 60%
A
B
C
D
F
Homework/Weekly Quizzes:
Daily homework will be assigned but not formally collected for grading. Weekly
quizzes will be given which can include the submission of random individual
homework problems for grading and also quiz questions similar to the homework
problems. There will be 10 quizzes worth 10 points each throughout the
semester, of which your lowest score will be dropped (total of 90 points).
Labs:
There will be a total of 3 lab homework assignments; roughly one every 5 weeks.
Labs are additional homework assignments which will be graded. Labs will be
worth 20 points each.
Exams:
There will be a total of 4 exams in this course; 3 “Midterm” exams worth 100
points each, and a Final exam worth 150 points. There will be one 80 minute
midterm exam roughly every 5 weeks; exam dates will be announced in class.
Makeups:
Make-up exams will not be granted except in the case of an emergency. In the
situation of an emergency, the instructor must be notified prior to the exam in
order to schedule a make-up. Whether a situation is an emergency or not is
determined by the instructor.
Final Exam:
The final exam will be on Thursday December 14th from 1:00 – 3:00 p.m.
Late Work:
No late work will be accepted for any reason.
Cheating:
Collaboration on homework problems and in-class work is expected and
encouraged. Quizzes and Exams are individual assessments for which any
cheating will not be tolerated. On the first offense, all individuals involved will
receive an F for the semester.
Disabilities Statement:
Students with disabilities are encouraged to advise me of any additional support
that is required. You should also contact Disability Services at 457-2391
Course Outline and Homework:
Homework will be updated online. Check the course website for homework
assignments.
Week
Topics
Covered
Topic Description
1
1.1 – 1.2
Lines and Pairs of Lines
2
1.3, 2.1
3
2.1 – 2.3
4
2.3 – 2.5
5
2.6 – 2.7
Application problems, Break even point, mixture problems
Systems of equations: substitution and elimination
Systems of linear equations: matrix method
Systems of m equations with n variables
Systems of m equations with n variables
Matrix Algebra
Inverses of Matrices
Applications of matrices
6
7
Chapter 1
and 2
Review
and Exam
5.1 – 5.3
8
5.4 – 5.6
9
10
Chapter 5
Review
and Exam
6.1 – 6.4
Sets, Multiplication Principle
11
6.4 – 6.5
Combinations and Permutations
12
13
Chapter 6
Exam
7.1 – 7.2
14
7.3 – 7.4
15
7.5 and
Chapter 7
Review
Interest, Compound Interest formulas
The multiplication principle of counting
Annuities, Recursive sequences
Applications
Sample Spaces and probability
Properties of probability of an event
Conditional Probability
Independent Events
Conditional Probability
Independent Events
The policies and outline of this course are subject to change at the discretion of the instructor
BASIC SKILLS OUTCOMES
This course can be used to satisfy the University Studies requirements for Basic
Skills in Mathematics. This course includes requirements and learning activities
that promote students’ abilities to...
a. use logical reasoning by studying mathematical patterns and relationships;
Math 110 solves linear equations. This includes rectangular coordinates and lines,
parallel and intersecting lines, and their applications. Counting techniques are also
used such as sets, the multiplication principle, permutations, combinations, and
applications.
b. use mathematical models to describe real-world phenomena and to solve realworld problems - as well as understand the limitations of models in making
predictions and drawing conclusions;
Systems of linear equations are solved by substitution, elimination, and matrix
reduction. Matrix algebra, matrix multiplication, and the inverse of a matrix are
studied by the student. Finance is covered including interest, compound interest,
annuities, amortization, and their applications.
c. express the relationships illustrated in graphical displays and tables clearly and
correctly in words; and/or
Linear programming is examined by using a geometric approach. Probability is
utilized through sample spaces and probability models, properties of the probability
of an event, and probability based on counting techniques. Conditional probability
and independent events are also examined.
d. use appropriate technology to describe and solve quantitative problems;
Technology is used to solve large systems of linear equations.
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