Math Refresher
Description:
The Math Refresher Sessions are intended to provide a brief, yet
comprehensive, review
of basic mathematical principals and algebraic skills in preparation for entry
into
Biostatistics 503/553 this Fall semester. The sessions are designed for all
entering UM
SPH students who scored below the 50^{th} percentile on the GRE/GMAT. In addition,
entering students who have not practiced basic algebra for a number of years may
find
these review sessions beneficial. Covered topics range from working with
fractions and
decimals to solving systems of two linear equations.
Tentative Outline
Date | Topics | Materials |
Thursday, August 24 | Estimating, Comparing, Converting, and Computing Whole Numbers, Fractions, Decimals, and Percents |
Lecture 1 handout Practice Quiz |
Friday, August 25 | Inequalities and Graphing Linear Equations |
Lecture 2 handout |
Monday, August 28 | Exponents, Scientific Notation, Square Roots, Radicals, and Working with Algebraic Expressions |
Lecture 3 handout |
Tuesday, August 29 | Solving Equations, Systems of equations |
Lecture 4 handout |
Wednesday, August 30 | Practice Exam | Practice Exam |
Materials:
There are four (4) lecture packets, a practice quiz, and a practice exam
available on
CTools, which is accessible via the Academic Preview website
The lecture handouts will provide the content basis and problems to be worked
for each session. These handouts
should be printed and brought to each meeting.
While there is no required textbook for the Refresher Sessions, students who
prefer
additional reading and practice problems may find published algebra test
preparation
guides helpful. Such study guides are usually available from on-line book
retailers and
local bookstores. I suggest:
Downing, Douglas. Algebra: The Easy Way. 3^{rd}
(1996) or 4^{th} (2003) edition.
Hauppauge, NY: Barron’s Educational Series, Inc.
Bobrow, Jerry. CliffsQuickReview™ Basic Math and
Pre-Algebra. 2001. New York:
Wiley Publishing, Inc.
Evaluation and the Algebra Examination:
The goal of the Math Refresher Sessions is to prepare
students who are required to pass
the Algebra Examination (administered at 4p.m on Thursday August, 31, 2006 and
at
8am, 10am, and 12pm on Friday, September 1, 2006). If you are uncertain as to
whether
you are required to take the Algebra Exam, please contact Kim Creasap
or Peter Menard. Students who do not pass the Algebra Exam are required to
enroll
in a 1-credit algebra course that is administered at UM SPH and runs
concurrently
with the first eight weeks of Biostatistics 503 (Biostats 503 is a full-semester
course).
Although no homework or grades will be formally assigned,
there are a number of
Session Review Problems at the end of each lecture packet. Mastery of these
Review
Problems will ensure success on the Algebra Exam.
Session Format and Covered Topics:
The Math Refresher Sessions consist of five, 2-hour
meetings. As I would like these
sessions to be as interactive as possible, I will start each with a discussion
of questions on
the Review Problems from the prior day. I will then present new material and
work
examples. Time permitting, each session will conclude with the group working
illustrative Review Problems on material from the current day. A detailed
outline is
presented below:
Detailed Outline
Thursday, August 25 | |
3:00-3:30 | Discussion of Syllabus and Entrance Quiz |
3:30-4:00 | Numbers; absolute value; adding, subtracting
multiplying and dividing positive and negative numbers; fraction; and rationals |
4:00-4:05 | Break |
4:05-4:45 | Reciprocals; compound fractions; decimal fractions; and percents |
4:45-5:00 | Work Session review Problems |
Friday, August 26 | |
3:00-3:15 | Review homework problems |
3:15-4:00 | Inequalities; graphing linear equations |
4:00-4:05 | Break |
4:05-4:45 | Graphing linear equations |
4:45-5:00 | Work Session review Problems |
Monday, August 28 | |
3:00-3:15 | Review homework problems |
3:15-4:00 | Exponents; scientific notation; square roots; and algebraic expressions |
4:00-4:05 | Break |
4:05-4:45 | Algebraic expressions; polynomials; factoring polynomials |
4:45-5:00 | Work Session review Problems |
Tuesday, August 29 | |
3:00-3:15 | Review homework problems |
3:15-4:00 | Mathematical sentences and the Principle of
Equality to solve open mathematical sentences |
4:00-4:05 | Break |
4:05-4:45 | Solving systems of two equations |
4:45-5:00 | Work Session review Problems |
Wednesday, August 30 | |
3:00-3:15 | Review homework problems |
3:15-4:00 | Catch-up and review of remaining questions |
Administration of sample Algebra Examination | |
4:00-4:05 | Break |
4:05-5:00 | Review of sample Algebra Examination |
Special Note on Calculators:
While I do not mind if you use a calculator to check
your answers to Session Review
Problems, please bear in mind that calculators are not allowed
during the actual Algebra
Examination.
Learning Environment:
I would like to encourage everyone to participate, and
please feel free to ask me any
questions that you have. Out of respect for your classmates, please turn off all
cellular
devices when you arrive at each session.
If you have any special needs that will facilitate your
learning, please let me know, and
we can discuss appropriate accommodations.