MA503 MATHEMATICAL MODELING, NUMBER, AND DATA. (3 Cr.)
COURSE DESCRIPTION
Prerequisite
Mathematics education major or minor or elementary education major with
mathematics concentration; required course in the Master of Science in
Mathematics (MSME) program.
General Introduction and Goals
Historical and philosophical foundations of mathematics and their
relationships to numerical algorithms, approximation, error analysis, data
representation, distributions, counting techniques, mathematical modeling and
prediction.
Objectives
This course will deepen students' understanding of how numerical algorithms,
counting techniques, and distributions contribute to the solution of problems
that also require approximations and error analysis. Students will explore
the development and application of mathematical modeling in the solution of
problems, and they will become more aware of connections between topics studied
in this course and topics taught in the elementary and secondary curriculum.
Content Outline:
This course will examine selected topics from the following areas of
mathematics:
- Number theory (e.g., countability; prime and composite numbers; factors
and multiples; Euclidean algorithm; fractions, decimals, and rational numbers;
paradoxes)
- Probability (e.g., counting techniques; combinatorics; chance; predicting
outcomes)
- Statistics (e.g., data analysis and representation; distributions;
hypothesis testing; confidence intervals)
- Calculus (e.g., series approximations; sizes of errors; limits;
understanding and interpreting the derivative and integral)
- Mathematical modeling (e.g., modeling problems situations; using models to
predict)
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