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Course Criteria
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3.00 Credits
Studies child-centered, activity-oriented mathematics programs for early childhood education. Focuses on helping children develop understanding and insight into basic concepts of mathematics through the use of manipulative materials. Topics include pre-number activities, number activities, numeration, operations on whole numbers, estimation, rational numbers, geometry, measurement, probability, statistics, and problem solving.
Prerequisite:
MATH 152, ECED 200
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3.00 Credits
Explores materials and methods for teaching mathematics in the elementary grades with emphasis on creative utilization of manipulatives and techniques. Investigates ways of assessing student math knowledge and skills through a student-centered, inquiry approach.
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2.00 Credits
Explores effective classroom methods and strategies for assessing, teaching, and monitoring the mathematical performance of students with learning difficulties. Emphasis on practical classroom techniques designed to facilitate skill acquisition, maintenance, retention, and generalization.
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3.00 Credits
Emphasizes techniques of solution and application of differential equations. Topics includefirst order equations, second order linear equations, systems of linear equations, and seriessolution of differential equations.
Prerequisite:
MATH 122 or MATH 126
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4.00 Credits
Deals with the application of mathematics to problems of science. Emphasis is placed on the three phases of such an application and on the development of skills necessary to carry out each step: (a) translation of the given physical information to a mathematical model; (b) treatment of the model by mathematical methods; (c) interpretation of the mathematical result in physical terms. Topics included are vector calculus, integral theorems, Fourier series, partial differential equations, and the Laplace transformation.
Prerequisite:
MATH 122 or 225; 341
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3.00 Credits
Algorithmic methods for function evaluation, roots of equations, solutions to systems of linear equations, function interpolation, numerical differentiation, and integration; and us spline functions for curve fitting. Focuses on managing and measuring errors in computation. Also offered as COSC 343; either MATH 343 or COSC 343 may be substituted for the other and may be used interchangeably for D/F repeats but may not be counted for duplicated credit.
Prerequisite:
COSC 110, MATH 121 or 125Offered as COSC/MATH 250 prior to summer 2018.
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3.00 Credits
Development of the central concepts of mathematics from ancient times up to the development of calculus in the seventeenth century. Mathematical concepts will be placed in historical perspective. The use of the history of mathematics as a pedagogical tool and its relationship to other sciences will be addressed.
Prerequisite:
MATH 122 or 126 or instructor permission
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3.00 Credits
Divisibility, congruences, primitive roots, number theoretic functions, diophantine equations, continued fractions, quadratic residues.
Prerequisite:
MATH 271 with a grade of C or better
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3.00 Credits
Studies various groups of transformations and geometries associated with these groups in the Euclidean plane. The Euclidean Similarity and affine and projective groups of transformations are studied.
Prerequisite:
MATH 171, 271 with a grade of C or better
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3.00 Credits
Probability theory necessary for an understanding of mathematical statistics is developed. Applications of set theory to models, combinations and permutations, binomial, Poisson and normal distributions, expected values, and moment generating functions.
Prerequisite:
MATH 216; 225 (may be taken concurrently)
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