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Course Criteria
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3.00 Credits
An introduction to scientific computing. The use of numerical methods in solving equations, systems of linear equations, and differential equations. Numerical integration. (Also listed as CIS 300). Students are encouraged to take CIS 102 or 202. Prerequisite: MATH 132 (grade of 'C' or better) and CIS 130. Three semester hours.
Prerequisite:
MATH 132 or CIS 130
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3.00 Credits
An introductory study of vector spaces. Topics include systems of linear equations, determeinants, matrices, linear transformations, and eigenvalues. Prerequisite: Grade of C or better in MATH 132. Three semester hours.
Prerequisite:
MATH 132
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3.00 Credits
A calculus-based introduction to both the theory and applications of probability and statistics. Topics include elementary data analylsis, probability distributions and density functions, estimation, hypothesis testing, and simple linear regression. Students will make frequent use of a statistical software package. Prerequisite: Grade of C or better in MATH 132. Three semester hours.
Prerequisite:
MATH 132
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3.00 Credits
An introduction to the mathematics of enumeration to include counting, inclusion-exclusion, generating functions, and recursion. Basic graph theory (paths, circuits, planarity, trees, colorings) and Boolean algebra. Numerous applications to a wide variety of disciplines such as computer science, engineering, operations research, biology, chemistry, and political science. Prerequisite: Grade of C or better in MATH 132. Three semester hours.
Prerequisite:
MATH 132
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3.00 Credits
A study of mathematics with a historical perspective. Emphasis on the development of mathematics from ancient to near-modern times. Required for secondary certification mathematics majors. Prerequisite: Grade of C or better in MATH 132. Three semester hours.
Prerequisite:
MATH 132
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3.00 Credits
A formal study of geometry. Topics include a modern axiomatic development of Euclidean geometry, the historical development of non Euclidean geometries, proof techniques, constructions, and applications. Prerequisite: Grade of C or better in MATH 132. Three semester hours.
Prerequisite:
MATH 132
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1.00 - 3.00 Credits
This elective course allows for a flexible offering of various mathematical and statistical topics which are not a part of the regular course offerings. Specific topics will be announced in advance. The course may be taken for additional credit as the topic changes. To repeat the course to improve a grade the topic, the course number, and the semester hours must be the same. This course will not be offered more than once a semester. Prerequisite: Permission of the instructor. One to three semester hours.
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3.00 Credits
An introduction to algebraic systems, groups, rings, integral domains, and polynomial rings. Prerequisites: MATH 134, and a "C" or better in MATH 142. Three semester hours.
Prerequisite:
( MATH 134 and( MATH 142
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3.00 Credits
A continuation of MATH 421 including fields, ideals, quotient rings, vector spaces, linear transformations and field extensions. Prerequisite: C or better in MATH 421. Three semester hours.
Prerequisite:
MATH 421
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3.00 Credits
A careful study of real functions of a real variable. Topics include topology of the line, sequences, limits, continuity, differentiation, and the Riemann integral. Prerequisite: Grade of C or better in MATH 232. Three semester hours.
Prerequisite:
MATH 134 and MATH 232
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