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Course Criteria
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3.00 Credits
Fundamental properties of heat, work and energy. Analysis of thermodynamics systems, control-volume analysis and the mathematical modeling of energy transfer systems. Prerequisites: CHEM 1342, MATH 2431, PHYS 2333. Spring.
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3.00 Credits
A study of the foundations of Euclidean geometry; non-Euclidean geometry. Prerequisite: Successful completion of a University core mathematics course. Spring.
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3.00 Credits
Numerical algorithms as applied to differential and integral calculus; stability and convergence of methods with error estimates. Prerequisite: MATH 2338 and 2343. Fall.
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3.00 Credits
The concepts of force, momentum, balance and friction are used in the application of vector algebra and the calculus to the modeling and analysis of force systems, free-body diagrams and the equilibrium states of rigid bodies. Prerequisite: PHYS 2331, MATH 2431. Fall.
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3.00 Credits
The concepts of force, acceleration, work, energy, impulse, momentum and vibration are used in the application of vector and differential equations to the modeling and analysis of particle kinetics, planar and three-dimensional particle kinematics, and the behavior of rigid bodies. Prerequisite: MATH 3341. Spring.
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3.00 Credits
Continuation of Math 2343. Power series solutions of differential equations and Bessel functions, Fourier series and transforms, matrices, systems of differential equations, introduction to generalized functions. Recommended for students interested in applications of mathematics and engineering. Prerequisite: Math 2343 with a "C" or better . Spring.
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3.00 Credits
Introduction to advance methods of mathematics useful in the analysis of engineering problems, theory or vector fields, Fourier analysis. Strum-Liouville theory, functions of a complex variable, selected topics in asymptotic analysis, special functions, perturbation theory. Recommended for students interested in engineering applications of mathematics. Prerequisite: MATH 2343 or permission of departmental chair. Fall.
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3.00 Credits
Evolution of mathematics from earliest to modern times. Major tends in math ematical thought, the interplay of mathematical and technological innovations, and the contributions of great mathematicians. Appropriate for prospective and in-service teachers. Prerequisite: Math 2340 or permission of departmental chair. Spring
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3.00 Credits
Topics chosen at the discretion of the instructor. Methods of enumerative combinatorics: sum, product, and division rules, bijective and recursive techniques, inclusion and exclusion, generating functions, and the finite difference calculus. Advanced topics to be selected from the theory of partitions, Polya theory, designs, and codes, graphs and trees with applications including games of complete information. Combinatorial existence theorems, Ramsey s theorem. Prerequisite: Successful completion of a University core mathematics course Spring.
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3.00 Credits
Design of experiments, sampling analysis and the principles of statistical inference are applied to information in electronic format. Topics include conference intervals, hypothesis testing, one and two factor analysis of variance, linear and non-linear regression, multiple regression, chi-square tests, contingency tables, as well as selected techniques for time series analysis. Prerequisite: MATH 1431 or MATH 3325. Fall.
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