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MATH 2343: Elementary Differential Equations
3.00 Credits
Southern Methodist University
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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MATH 3308: Introduction to Discrete Mathematics
3.00 Credits
Southern Methodist University
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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MATH 3315: Introduction to Scientific Computing
3.00 Credits
Southern Methodist University
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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MATH 3334: Mathematical Modeling and Applications
3.00 Credits
Southern Methodist University
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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MATH 3337: Advanced Mathematics for Science and Engineering
3.00 Credits
Southern Methodist University
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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MATH 3353: Introduction to Linear Algebra
3.00 Credits
Southern Methodist University
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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MATH 4300: Independent Study in Math
3.00 Credits
Southern Methodist University
Independent study of a selected topic in mathematics. Prerequisite: By arrangement with faculty sponsor and with departmental approval.
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MATH 4335: Mathematical Biology
3.00 Credits
Southern Methodist University
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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MATH 4338: Analysis
3.00 Credits
Southern Methodist University
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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MATH 4351: Theory of Numbers
3.00 Credits
Southern Methodist University
Classical number theory, including divisibility, congruencies, quadratic reciprocity, Diophantine equations and number theoretic functions. Prerequisite: MATH 3308 or 3353.
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