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Course Criteria
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3.00 Credits
An introduction to the language and methods of reasoning used throughout mathematics and computer science, and to selected topics in discrete mathematics. Propositional and predicate logic; elementary set theory; introduction to proof techniques including mathematical induction; functions and relations; and basic principles of elementary number theory, combinatorial enumeration, and graph theory. PREREQ: MATH 143, MATH 147 or satisfactory placement score.
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3.00 Credits
Activity-based treatment of geometry designed to extend preservice teachers' understanding of geometry and its connections to other areas of mathematics. Topics may include: constructions, conjectures and proofs, dynamic geometry technology, transformations. It is recommended that this course be taken prior to MATH 311. PREREQ: MATH 147.
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3.00 Credits
Brief review of arithmetic operations and their properties. Positive integer exponents, variables, algebraic expressions, solution of linear equations, definition of absolute value. Expansion of product of two binomials, factorization of quadratics, solution of quadratic equations by factoring. Two-dimensional Cartesian coordinate systems, slope, equations of lines, solution of 2-by-2 linear systems. Simple "word problems."
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3.00 Credits
Precalculus treatment of descriptive statistics, confidence intervals, hypothesis testing, regression, correlation. Selected topics from probability theory. Emphasis on concepts and applications to a wide variety of disciplines. Use of computer statistics packages to handle computations. Carries no credit after MATH 360 or MATH 361. PREREQ: MATH 108, MATH 130, or MATH 143, or satisfactory placement score.
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3.00 Credits
Probability, statistics, geometric concepts, principles, and measurement. Includes the use of physical materials and technology. PREREQ: MATH 157.
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3.00 Credits
Activity-based treatment of statistics designed to extend preservice teachers' understanding of statistics and its connections to other areas of mathematics. Topics may include: simulations, hypothesis testing, dynamic statistical software and technology. It is recommended that this course be taken prior to MATH 361. PREREQ: MATH 147.
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3.00 Credits
Essential skills and techniques for using technology in teaching and learning mathematics, problem solving, and mathematical thinking and reasoning. Mathematical topics selected from areas such as algebra, probability, statistics, and geometry. PREREQ: MATH 143.
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0.00 Credits
Introduction to general-purpose mathematical software systems which provide symbolic, numerical and graphical capabilities; emphasis on multidimensional problems. PREREQ: MATH 275 and one of COMPSCI 115, COMPSCI 117, COMPSCI 119, or COMPSCI 125.
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4.00 Credits
Vector algebra and geometry, functions of several variables, partial and directional derivatives, gradient, chain rule, optimization, multiple and iterated integrals. Parametric curves and surfaces, vector fields, divergence and curl, line and surface integrals, Green's, Stokes' and divergence theorems. Useof software such as Maple or Mathematica for visualization, exploration and solutions of "realworld"problems. PREREQ: MATH 175.
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1.00 Credits
Solving problems from previous Putnam examinations and related problems. May be repeated once for credit. (Pass/Fail.)
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