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Course Criteria
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3.00 Credits
Vector spaces, fields and field extensions, Galois Theory. Coding Theory. Prerequisite: MA 201. Three credits.
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3.00 Credits
The complex number system the Cauchy-Riemann equations, contour integrals, the Cauchy integral theorem and formula, sequences, power series and Laurent series, residue theory and conformal mapping. Prerequisite: MA 113. Three credits.
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3.00 Credits
Sets, functions, metric spaces, topological spaces, connectedness, compactness, separation axioms, approximation, fixed point theorems. Prerequisite: MA 114. Offered every other year. Three credits.
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3.00 Credits
A rigorous study of calculus, limits of sequences and functions, the Full Cover Theorem, absolute continuity, differentiation, properties of differentiable functions, the Riemann integral, Lebesgue’s Theorem, the Riemann-Stieltjes integral, the Lebesque integral, the Riemann-complete integral. Prerequisite: MA 114. Offered every other year. Four credits.
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3.00 Credits
Vector calculus functions of several variables, differentiability, transformations, and the Inversion Theorem, infinite series, series of functions, Fourier series. Prerequisite: MA 206. Four credits.
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3.00 Credits
Discrete probability including such topics as independence, conditional probability, Bernoulli trials, and Bayes Theorem, Calculus of probabilities including random variables, discrete and continuous distributions, expectance and variance. Prerequisite: MA 113. Offered every other year. Three credits.
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3.00 Credits
Elementary geometry from an advanced standpoint. Non-Euclidean geometries, with emphasis on hyperbolic geometry. The postulation method. Prerequisite or concurrent course: MA 112. Spring semester. Three credits.
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3.00 Credits
A review of the mathematics courses taken by the engineering student. A discussion of Laplace Transformations and Fourier Series. Emphasis is on student presentation. This seminar is taken during both semesters of the junior year. Prerequisite: MA 114. One credit.
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3.00 Credits
Lettering, use of instruments, applied geometry, sketching, multiview projection, auxiliary projection, sections and conventions, pictorial drawing, dimensioning, shop drawing and Autocad applications. Enrollment in these courses requires students to purchase the necessary drawing supplies. Offered every other year. Three credits.
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3.00 Credits
Forces in a plane and in space. Equivalent system of forces. Equilibrium of rigid bodies. Centroids and centers of gravity. Moments of inertia. Analysis of structures. Friction. Vectors used extensively. Cross-listed as PH 223. Prerequisite: PH 111 and MA 112. Three credits.
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