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Course Criteria
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3.00 Credits
Focus on the study and analysis of data and functions through the use of integration. The emphasis will be on using integrals to solve real-world problems. Students will often transform data into symbolic representations through regression analysis, and then use the symbolic representation to perform calculations. Use of spreadsheets and other technology will be integrated. (Prerequisite: MATH 207 or equivalent; grade C required)
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3.00 Credits
Introduction to discrete mathematical concepts including: number systems, number proofs, sums, bases and computer arithmetic, sets theory with proofs, and formal logic. The material will be taught from a problem-solving perspective with emphasis on developing critical thinking needed for enhancing programming and database skills.
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3.00 Credits
This course makes explicit the connections between mathematics, mathematical modeling, and organizational dynamics. Students explore the mathematics behind tools used in the business environment and build an understanding of the mathematical infrastructure that supports management decisions. Topics include use of path analysis, linear programming, and the interpretation of graphs and statistics.
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3.00 Credits
A continuation of MATH 217, this course makes explicit the connections between mathematics, mathematical modeling, and organizational dynamics. Students explore the mathematics behind tools used in the business environment and build an understanding of the mathematical infrastructure that supports management decisions. Topics include saving models, borrowing models, mathematics supporting digitizing information, and growth models.
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3.00 Credits
A survey of mathematical concepts in the context of philosophy and history. Initially, students learn mathematics by studying the problem solving methods used by philosophers and scientists. Through this approach, students view past problem solving as an iterative process - as the philosophers/scientists encountered both success and failure. Being enlightened by these various approaches, students develop their personal problem solving techniques when solving mathematical problems.
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3.00 Credits
Introduction to mathematical proof techniques. Elementary topics from set theory and number theory will be used to teach common proof methods. This course is designed to facilitate the transition into the expectations of upper-level mathematics courses. (Prerequisite: MATH 216)
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3.00 Credits
Continuation of MATH 301-302, covering additional topics from calculus, including L'Hôpital's Rule, improper integrals, infinite series, parametric equations, polar coordinates, vectors, and surfaces in space. This course continues with the principles from MATH 207-208, including lab exercises that utilize technology to address conceptual understanding, mathematical modeling, and data analysis. 2 hours lecture, 2 hours laboratory. (Prerequisite: MATH 207-208)
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3.00 Credits
The culmination of the calculus sequence, covering topics in multi-variable calculus, including vector-valued functions, partial derivatives, multiple integration, and line integrals. The principles from the rest of the calculus sequence are continued in this course, including laboratory exercises that utilize technology to address conceptual understanding, mathematical modeling, and data analysis. 2 hours lecture and 2 hours laboratory. (Prerequisite: MATH 304)
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3.00 Credits
The topics of this course include: basic concepts of probability; random variables, common distributions, and applications; and basic concepts of statistics including sampling distributions, confidence intervals, hypothesis testing, and regression. (Prerequisites: MATH 207 and 208 or MATH 301 and 302 or instructor's approval)
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3.00 Credits
This course introduces numerical techniques for approximating solutions to a variety of problems spanning algebra, differential and integral calculus, interpolation, differential initial-value equations, and linear systems. Convergence criteria and error analysis associated with approximation methods will also be considered. (Prerequisite: MATH 304 and CIS 218)
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