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Course Criteria
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3.00 Credits
This is a basic problem-solving course suitable for students in any major. A survey of a wide variety of problem solving strategies. Students successfully completing this course will effectively communicate mathematically, utilize various strategies in analyzing problems, and increase problem-solving persistence and sharpen problem-solving skills.
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3.00 Credits
This is an algebra-based course with an emphasis on practical applications. An examination of real-life models and their applications using algebra as a foundation. Students successfully completing this course will effectively use algebra and technology to analyze models of real-world phenomena; effectively read, interpret and analyze problems; and gain quantitative literacy and confidence.
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3.00 Credits
Matrices, systems of linear equations, linear programming using geometric and simplex methods, set theory, probability, Markov chains, and game theory. Prerequisite: Two years of high school algebra or MTH 107 or 108.
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4.00 Credits
A study of topics in algebra and trigonometry that are used in calculus. Topics include functions, advanced algebra, logarithmic and exponential functions, and trigonometry. Students who successfully complete this course will have the mathematics background needed to study calculus. Prerequisite: Two years of high school algebra or MTH 107 or 108. Offered fall term.
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3.00 Credits
This course explores mathematics for elementary and middle grades teachers. Topic include sets, functions, logic, numeration, algorithms for basic computation, integers, rational numbers and their application, algebra concepts, probability and statistics. The course also introduces the NCTM standards and the Nebraska content standards for K-12 students. Upon successful completion, students will be able to present mathematics from a problem-solving perspective and integrate exploration and communication as methods of presenting mathematics to elementary and middle grades students. Prerequisite: Junior standing or permission. Offered fall term.
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3.00 Credits
A study of geometric topics encountered in middle school and high school mathematics. Topics include the van Hiele theory, measurement, congruence and similarity, fractals, polyhedra, coordinate geometry, transformational geometry, and applications. Students who successfully complete this course will be able to teach the geometric topics at all levels covered in public schools. Prerequisite: Two years of high school algebra or MTH 107 or 108. Offered spring term.
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4.00 Credits
An examination of the fundamentals of limits and differentiation, and an introduction to integration. Students successfully completing this course will be able to: 1) conceptually understand the definitions of limit, derivative and integral, 2) apply the concepts of limits and differentiation to a variety of theoretical and real-life questions and 3) decisively utilize paper/pencil and technology-based problem-solving techniques. Prerequisite: High school precalculus (algebra and trigonometry) or MTH 125. (MTH 125 is recommended if ACT math score is 22 or lower.)
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4.00 Credits
A continuation of MTH 235 focusing on integration and infinite series. Students successfully completing this course will be able to: 1) solve integration problems using a variety of techniques, 2) conceptually understand infinite sequences and series, 3) apply these concepts to a variety of theoretical and real-life questions and 4) decisively utilize paper/pencil and technology-based problem-solving techniques. Prerequisite: MTH 235. Offered spring term.
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3.00 Credits
An introduction to understanding and constructing the different types of mathematical proofs, inductive and deductive reasoning, functions, cardinality and the real number system. Prerequisite: MTH 235. Offered spring term.
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1.00 - 3.00 Credits
An opportunity for supervised, independent study of a particular topic based on the interest of the student and the availability and approval of the faculty. Students desiring advanced course work in areas not regularly offered may do so by enrolling in a directed study. Topics could include, for example, actuarial mathematics, computer mathematics, topology, or advanced topics in abstract algebra, analysis, geometry, or mathematical statistics. Seniors planning to pursue graduate study in mathematics are especially encouraged to consider this option.
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