Much of the work will be done on computers in the lab. However, each member of
class should have a calculator available for work in the classroom. A basic
would be sufficient; however, it would be advantageous if it is capable of
calculating factorials , permutations, combinations, etc.
Upon the completion of this course students will:
• Understand that in “ real world ” situations there may be many acceptable
approaches to solving a specific problem. Likewise, they will learn that there
are often multiple acceptablesolutions and sometimes no acceptable solution.
• Be able to solve systems of linear equations and inequalities using paper and
pencil methods and/or function plotting software and inter pret the results .
• Be able to set up spreadsheets and demonstrate their “if…, then…”
• Demonstrate the application of matrices to “real world” situations.
• Be able to apply applicable emperical probability processes and compare the
results to results obtained by using mathematical probability.
Course Overview and Objectives
The overall scope of the course will of necessity be dependent on the present
previous experience of the participants. The basic goal is to enable
participants to use
mathematics, when applicable, as a tool for problem solving and decision making
help them recognize possible methods of solution. The emphasis will be on
understanding basic mathematical concepts and applications rather than on
structure. The Curriculum and Evaluation Standards from the National Council of
Teachers of Mathematics will serve as a guide for many of the topics and methods
addressed in this course. Emphasis will be placed on modeling “real-world”
using systems of equations and inequalities, data analysis, mathematical and
probability, and matrices to describe relationships and the use a variety of
solve problems, reach conclusions and interpret results. Students will
ability to use paper and pencil methods of solutions for basic work; as topics
advanced they will use function plotting software, data analysis software,
Participant’s progress and understanding will be assessed
through the use of quizzes,
worksheets, group projects , demonst ration of knowledge and/or skills, class
Participants will be provided with a disk containing the function plotting
software and the
data analysis software.
The final grade for the course will be based on the following: (Approximate)
In-class worksheets or group projects
50 points each
50 points each
The instructor will monitor participation in class discussion and group projects
award points based on his observations.
Exercises related to material covered in the session may be presented as
worksheets. The purpose of homework is not for a grade, it is to help the
what he/she can do and what he/she might need help with. Questions related to
homework will be discussed before the quiz in each session.
Worksheets that are not completed by the end of a session may be taken home. The
completed worksheets will be due at the beginning of the next session.
Letter grades will be as signed based on the following:
A 92%-100% of total possible points
B 84%-91% of total possible points
C 72%-83% of total possible points
D 60%-71% of total possible points
Each participant is expected to attend every session. Missing one session is
approximately equivalent to missing two consecutive weeks in a traditional
course. Because of the nature of some of the group projects it is not possible
to make up
projects missed. In-class worksheets missed due to absence may be made up
class time. Quizzes and exams missed due to absence may be made up only if prior
arrangements have been made with the instructor or extraordinary circumstances
missing of the quiz or exam. The final grade for a student who misses two
be lowered one letter grade. If a student misses three or more sessions it is
un likely that
he /she will pass the course.
OVERVIEW OF SESSIONS
Following is the proposed schedule for each session. It may be necessary to
the schedule based on the needs of the participants and/or time available.
understanding of material and development of necessary skills is more important
amount of material covered. For each session after the first there is a
possibility of a quiz
over material from the previous session.
Introductions Overview of course and discussion “real
world” problems as opposed to
Review of basics related to Cartesian coordinate system and linear relations
Introduce concept of functions and related notation and termino logy
Demo function plotting software (WinPlot)
Review topics from Session 1 and discuss any questions on
Review systems of equations on the coordinate system
Discuss various paper-pencil methods to solve systems of linear equations
Demo use of WinPlot to solve systems of linear equations and beyond
In-class worksheet or group project
Review topics from Session 2 and discuss any questions on
Introduce concepts of linear programming
Discuss graphs of linear inequalities and systems of linear inequalities as
they relate to linear programming solutions
In-class worksheet or group project
Discuss questions over material from first three sessions
Mid-term exam or project
Introduce concept of matrices to represent data and discuss the algebra of
Review topics from Session 4 and discuss any questions on
Demo use of spreadsheets or other software with matrices
Discuss real-world applications of matrices
In-class group project
Review topics from Session 5 and discuss any questions on
Introduce basics of Set Theory, terminology, notation, Venn diagrams, etc.
Discuss counting principles and use of permutations and combinations
Review topics from Session 6 and discuss any questions on
Discuss basics of both mathematical and emperical probability
In-class project using data collection and modeling using emperical
Review material from first 7 sessions
Final exam or project
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