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Course Criteria
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3.00 Credits
Topics to develop the student's quantitative competency skills, including estimation, use of calculators and computers, basic algebra, statistics, counting and probability, graphs and tables, problem-solving skills. Prerequisite: Quantitative Skills exam. (2 credits)
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3.00 Credits
Functions and transformations, linear and quadratic inequalities, systems of equations, complex numbers, polynomial and rational functions, sequences, mathematical induction, and the binomial theorem. Prerequisite: SAT Math subject test score of 500 or above, ACT Math score of 22 or above, or SAT Math score of 500 or above. (2 credits)
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3.00 Credits
Numeration systems, set theory, the whole number, integer number, and rational number systems with associated axioms, operations, relations, and counting principles. Topics from geometry, measurement, logic, and probability and statistics. For elementary education majors only. Prerequisite: Quantitative competency.
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3.00 Credits
Consideration in an historical context of some significant discoveries in mathematics and ways these discoveries have influenced our knowledge of natural phenomena and the development of culture. Not available to mathematics majors. Prerequisite: Quantitative competency. (2 credits)
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3.00 Credits
Coverage of topics from precalculus mathematics that are needed for the study of calculus, along with an introduction to the main ideas of calculus. Intended as additional preparation for MATH 221 or 231, or as an intuitive introduction to calculus. Not open to those with prior study of calculus.
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3.00 Credits
This course covers the ideas of calculus with the applications as the motivation. Covering more topics, the course differs from MATH 231 with less depth of coverage. Topics include limits, definitions and applications of the derivative and integral, and applications of the calculus to functions of several variables. Prerequisite: Precalculus mathematics. This course is not normally open to mathematics majors, and only one of MATH 221 and MATH 231 may be taken for credit. Alternate years.
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2.00 Credits
The limit concept. Definitions of the derivative and integral of functions of one variable, with basic properties and applications. Transcendental functions, methods of integration, and first order differential equations. Three lectures, two hours drill. Prerequisite: MATH 218, or previous calculus experience. (2-4 credits)
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2.00 Credits
Infinite series, polar coordinates. Three-dimensional geometry and vector algebra, functions of two and three variables, partial differentiation, multiple integration, and line integrals. Three lectures, two hours drill. Prerequisite: MATH 231 with a minimum grade of C-, departmental validation examination, or advanced placement. (2-4 credits)
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3.00 Credits
Starting with solving systems of linear equations, matrix algebra is used to explore vector spaces and linear transformations. Emphasis is given to bases, dimension, eigenvectors, and orthogonality. Prerequisite: MATH 231. (2-4 credits)
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3.00 Credits
An introduction to statistics, sampling theory, and statistical decision making from a solid mathematical basis for non-mathematics majors. Topics treated include discrete and continuous distributions, moments, hypothesis testing, correlation and multiple correlation, regression (linear, non-linear,multivariate),ANOVA, multi-variate analysis with cluster analysis and principle components, contingency tables with tests for independence, sampling theory, and rudimentary non-parametric statistics. Students will use selected software packages for data processing and anyalysis. Prerequisite: MATH 221 or MATH 231.
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