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Course Criteria
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3.00 Credits
Statistical model building will be introduced. The topics of simple linear regression, non-linear models, logistic regression, and multiple regression models will be included. The mathematical applications of the content will involve topics that are found in a variety of disciplines such as physical science, biology, economics, finance, and data science.
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4.00 Credits
Descriptive statistics, elementary probability and probability distributions, sampling and the elements of statistical inference including point/interval estimation and hypothesis tests.
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5.00 Credits
Multivariable functions, three-dimensional analytic geometry, vectors, partial derivatives, optimization, multiple integrals, curves and surfaces, vector fields, divergence, curl, line and surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. Applications include - but are not limited to - science, engineering, economics, and ecology.
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5.00 Credits
Matrices and systems, vector spaces, subspaces, linear independence, basis, dimension, linear transformations, eigenvectors, first and second order differential equations, Euler's Method, phase plane analysis of linear and nonlinear systems, extensive modeling. Possible topics from numerical methods, Laplace Transforms, power series solutions, or partial differential equations. Applications include - but are not limited to - science, engineering, economics, and ecology.
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4.00 Credits
This course will be useful to all students pursuing advanced mathematics at four-year institutions, including but not limited to those intending majors in mathematics or mathematics education. Topics include basic logic, techniques of mathematical proof, set theory, relations and functions, sequences and series, and basic number theory. The course may include additional topics at the discretion of the instructor. Writing is an important part of this course and will be comprehensively integrated into the course and will be a significant part of the course work and course grade. Writing proofs will be explained and practiced in the course and some assignments will be refined through revisions.
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3.00 Credits
This is an introductory course in probability and random variables. Elements of probability theory will be introduced first, then discrete and continuous random variables will be developed. This includes density and distribution functions, expectations, variance, moments and the relations among them. Markov chains are briefly introduced. This course introduces the students to real life problems that can be modeled with random variables. The emphasis will be on problems and models with actuarial flavor, i.e., used in the insurance industry.
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2.00 Credits
Individualized music instruction for woodwinds, brass, percussion, piano, guitar, strings, and voice. The course is open to piano, voice, and guitar students with no previous background. Woodwinds, brass, percussion, and strings require some previous experience playing and reading music. There is an additional fee for this course. May be repeated for a maximum of 4 credits.
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1.00 Credits
This course studies and prepares for public performance choral literature from all musical periods in a variety of styles. Students will use their voices in a manner that promotes healthy vocal production. They will work on developing musical perception skills and vocal production that fosters a unified ensemble sound. Students will have the opportunity to demonstrate the skills they develop through public performances.
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1.00 Credits
This course includes rehearsals and performances covering standard band literature. Students will have the opportunity to demonstrate the skills they developed through public performances.
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1.00 Credits
Rehearsals and performances of orchestral music of many traditions and styles. String students may audition to perform with the Bloomington Symphony Orchestra.
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