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MAT 321: Calculus III
3.00 Credits
Tougaloo College
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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MAT 321 - Calculus III
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MAT 322: Calculus IV
3.00 Credits
Tougaloo College
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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MAT 322 - Calculus IV
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MAT 326: Introduction to Probability Theory
3.00 Credits
Tougaloo College
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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MAT 326 - Introduction to Probability Theory
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MAT 341: Linear Algebra
3.00 Credits
Tougaloo College
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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MAT 341 - Linear Algebra
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MAT 345: Topolgy on The Real Line
3.00 Credits
Tougaloo College
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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MAT 345 - Topolgy on The Real Line
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MAT 414: Modern Algebra
3.00 Credits
Tougaloo College
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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MAT 414 - Modern Algebra
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MAT 426: Advanced Calculus
3.00 Credits
Tougaloo College
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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MAT 426 - Advanced Calculus
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MAT 429: Complex Variables
3.00 Credits
Tougaloo College
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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MAT 429 - Complex Variables
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MAT 434: Theory of Mathematical Statistics
3.00 Credits
Tougaloo College
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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MAT 434 - Theory of Mathematical Statistics
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MAT 445: Selected Topic in Mathematics
4.00 Credits
Tougaloo College
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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MAT 445 - Selected Topic in Mathematics
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