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Course Criteria
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3.00 Credits
First order equations, linear equations, Laplace transforms, power series solutions and applications. Prerequisite: A grade of C- or higher in MATH 1338.
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3.00 Credits
An introduction to logic, set theory, graph theory, recurrence relations and combinatorics. Mathematical foundations and applications of these subjects are presented. (Credit not allowed for both CSE 2353 and MATH 3308.) Prerequisite: A grade of C- or higher in MATH 1338.
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3.00 Credits
An elementary survey course that includes techniques for root-finding, interpolation, functional approximation, linear equations and numerical integration. Special attention is given to MATLAB programming, algorithm implementations and library codes. Prerequisites: A grade of C- or higher in MATH 1338. Corequisite: CSE 1340 or 1341; Students registering for this course must also register for an associated computer laboratory.
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3.00 Credits
Discussion of modeling principles such as conservation laws, dimensional analysis and scale, model validation and the continuum hypothesis. Applications may include vibrations, traffic flow, population dynamics and optimization. Prerequisite: MATH 2343.
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3.00 Credits
Elements of vector integral calculus, Fourier series, and boundary-value problems in partial differential equations. (No credit given if taken after MATH 5334.) Prerequisites: Grades of C- or higher in MATH 2343 and 2339.
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3.00 Credits
Matrices and linear equations, Gaussian elimination, determinants, rank, geometrical notions, eigenvalue problems, and coordinate transformations, norms, inner products, orthogonal projections, Gram-Schmidt and least squares. (No credit given if taken after MATH 5353.) Prerequisite: A grade of C- or higher in MATH 1338.
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3.00 Credits
Independent study of a selected topic in mathematics. Prerequisite: By arrangement with faculty sponsor and with departmental approval.
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3.00 Credits
Introduction of mathematical models of biological systems. Population dynamics, infectious diseases, population genetics, molecular and cellular biology. Prerequisites: MATH 2343 and MATH 3353.
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3.00 Credits
Sequences and series of real numbers and functions, properties of continuous functions, differentiation and integration with some attention paid to higher dimensions. Prerequisite: MATH 2339.
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3.00 Credits
Classical number theory, including divisibility, congruencies, quadratic reciprocity, Diophantine equations and number theoretic functions. Prerequisite: MATH 3308 or 3353.
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