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MATH 212: Geom & Measurement MCED
3.00 Credits
Xavier University
Concepts necessary for an understanding of basic geometry: shapes in one, two, and three dimensions, scientific measurement and dimensional analysis, congruence and similarity of figures, compass and straightedge constructions, transformations, coordinate geometry, conjecture and proof, perspective drawing and introductory trigonometry. Use of computer software to explore geometric concepts.
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MATH 212 - Geom & Measurement MCED
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MATH 213: Algebra Concepts-MCED
3.00 Credits
Xavier University
Development of algebraic problem solving, polynomials, linear, quadratic and exponential equations and functions, pattern representation, sequences and series. Use of technology and manipulative materials in the teaching of algebra.
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MATH 213 - Algebra Concepts-MCED
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MATH 214: Math Problem Solving-MCED
3.00 Credits
Xavier University
Problem solving, drawing from a wide range of school mathematics topics, logic, combinatorics, and basic probability theory. Prerequisite: MATH 211, MATH 212, MATH 213.
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MATH 214 - Math Problem Solving-MCED
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MATH 220: Calculus III
4.00 Credits
Xavier University
Vectors, lines and planes. Functions of several variables, partial derivatives and applications, gradient and directional derivative. Multiple integrals, line integrals, Green’s Theorem. Pre-requisite: MATH 171
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MATH 220 - Calculus III
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MATH 230: Differential Equations
3.00 Credits
Xavier University
Modeling with ordinary differential equations. Analytical, qualitative, and numerical techniques for first-order equations, first-order nonlinear systems, and linear systems. Pre-requisite: MATH 220.
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MATH 230 - Differential Equations
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MATH 240: Linear Algebra
3.00 Credits
Xavier University
Vector spaces, bases, linear transformations, change of basis. Eigen values and Eigen vectors. Pre-requisite: MATH 210.
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MATH 240 - Linear Algebra
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MATH 300: History of Mathematics
3.00 Credits
Xavier University
Some of the highlights in the historical development of mathematics with special attention given to the invention of non-Euclidean geometry and its importance for mathematics and Western thought.
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MATH 300 - History of Mathematics
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MATH 301: Survey of Geometries
3.00 Credits
Xavier University
Axiom systems, models and finite geometries, convexity, transformations, Euclidean constructions, and the geometry of triangles and circles. Introduction to projective and non-Euclidean geometries.
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MATH 301 - Survey of Geometries
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MATH 302: Theory of Numbers
3.00 Credits
Xavier University
Divisibility and primes, linear congruences, quadratic residues and reciprocity. Diophantine equations, multiplicative functions, distribution of primes.
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MATH 302 - Theory of Numbers
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MATH 310: Survey of Statistics
3.00 Credits
Xavier University
Probability, central limit theorem, estimation, hypothesis testing, regression and correlation, nonparametric methods, goodness of fit, linear models.
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MATH 310 - Survey of Statistics
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