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Course Criteria
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3.00 Credits
Polar coordinates, parametric equations, arc lengths, vector calculus, curvature, surface area, functions of several variables, partial derivative, gradient. Offered every Fall. Prerequisite: MAT 222 with a minimum grade of "C" . CREDIT: THREE SEMESTER HOURS.
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3.00 Credits
Multiple integration, centroids, moment of inertia, line integrals, Stokes' and Green's theorems. Offered every spring. Prerequisite:MAT 321 with a minimum grade of " C" . CREDIT FOU R SEMESTERHOURS.
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3.00 Credits
Sample spaces; definition of probability; discrete and continuous random variables; normal binomial and Poisson probability density and distribution function; jointly distributed random variables; expectations; moment generating function; and central limit theorem. Offered every fall. Prerequisite: MAT 222 with a grade of "C". CREDIT: THREE SEMESTER HOURS.
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3.00 Credits
System of linear equations, vectors and matrices, determinants, vectors in R2 and R3, vector spaces, linear transformation, Eigen values, Eigenvectors and canonical forms. Offered every fall. Prerequisite: MAT 221 with a minimum grade of "C" . CREDIT THREE SEMESTERHOURS.
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3.00 Credits
Metric spaces, topological spaces, compactness, connectedness, and application to analysis. Offered alternate springs, next 2005. Prerequisite: MAT 218 with a grade of at least "C" . CREDIT:THREE SEMESTER HOURS.
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3.00 Credits
Groups, rings, internal domain, and fields. Offered alternate falls, next 2006. Prerequisite: MAT 321 with a grade of at least "C". MAT 218 is recommended . CREDIT: THREE SEMESTER HOURS.
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3.00 Credits
A rigorous approached to the usual topics handled in one-dimensional calculus. The understanding, formulating and writing of proofs. Offered alternate springs, next 2005. Co-requisite: MAT 321 or permission of the instructor. CREDIT: THREE SEMESTER HOURS.
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3.00 Credits
Complex numbers, analytic functions, mapping by elementary functions, contour integration including the Cauchy-Gaursat theorem, the Cauchy integral formula, Morera's theorem and the fundamental theorem of algebra, infinite series - Taylor and Laurant expansions, and integration and differentiation of power series - residues and poles. Conformal mapping with application, if time permits. Offered alternate springs, next 2005. Prerequisite: MAT 222 CREDIT THREE SEMESTER HOURS
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3.00 Credits
Probability, discrete and continuous distribution, estimate of parameters, confidence intervals and test of hypotheses, experimental design and analysis of variance, and distribution-free methods. Offered every spring. Prerequisite: MAT 322 and 326. CREDIT: THREE SEMESTER HOURS.
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4.00 Credits
Typically a topic is chosen from those not offered in other courses or in combinations not provided by other courses. Possible topics include vector analysis, number theory and game theory. May be taken more than once for credit. CREDIT THREE OR FOUR SEMESTER HOURS.
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