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MAT 208: Pro bability Theory
3.00 Credits
Assumption University
Combinatorial problems, conditional probability, dependence and independence, probability measures, distributions, and stochastic processes. Prerequisite: MAT 202. (Spring 2009) Staff/ Three credits
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MAT 208 - Pro bability Theory
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MAT 231-232: Intermediate Calculus
3.00 Credits
Assumption University
A second-year course in calculus, designed to follow either MAT 118 or MAT 132. Topics to be covered include methods of integration, parametric curves, polar coordinates, sequences and series, power series, Taylor polynomials, vector geometry, vector functions, multivariable functions, and partial differentiation. Prerequisite: MAT 118 or MAT 132. (231 in Fall, 232 in Spring) Alfano/ Three credits each semester
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MAT 231-232 - Intermediate Calculus
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MAT 331: Calculus of Vector Functions
3.00 Credits
Assumption University
A course in the calculus of vector-valued functions and of functions of several variables. Topics to be covered include curves and surfaces in Euclidean n-space; the derivative and the differential of a vector function; the chain rule; the inverse function theorem and the implicit function theorem; multiple integrals and the change of variable theorem for multiple integrals; the theorems of Green, Gauss, and Stokes. Prerequisites: MAT 203 and MAT 232. (Fall 2008) Brusard/ Three credits
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MAT 331 - Calculus of Vector Functions
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MAT 332: Real Analysis
3.00 Credits
Assumption University
A course in classical real analysis. Topics to be covered include the real number system; convergence of sequences; limits and continuity of functions; differentiation; and integration. Prerequisite: MAT 232. (Spring 2008) Brusard/ Three credits
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MAT 332 - Real Analysis
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MAT 351: Mo dern Algebra I
3.00 Credits
Assumption University
An introductory course in abstract algebra. This course will cover the theory of groups and the definitions of rings and fields. Prerequisite: MAT 202. (Fall 2008) Staff/ Three credits
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MAT 351 - Mo dern Algebra I
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MAT 352: Mo dern Algebra II
3.00 Credits
Assumption University
The continuation of MAT 351. Topics include advanced group theory, and the theory of rings and fields. Prerequisite: MAT 351. (Spring 2009) Staff/ Three credits
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MAT 352 - Mo dern Algebra II
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MAT 353: A dvanced Euclidean Geometry
3.00 Credits
Assumption University
Theorems of Menelaus and Ceva. Euler line and nine-point circle. Cross-ratio, harmonic division, and orthogonality of circles. Inversive geometry. Theorems of Pappus, Desargues, and Pascal. Elementary transformations. Prerequisite: MAT 118 or MAT 132. (Fall 2007) Brusard/ Three credits
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MAT 353 - A dvanced Euclidean Geometry
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MAT 355: Di fferential Equations
3.00 Credits
Assumption University
First and second order differential equations. Linear differential equations and linear systems. Existence and uniqueness theorems. Applications. Prerequisite: MAT 232. (Fall 2007) Cioffari/ Three credits
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MAT 355 - Di fferential Equations
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MAT 356: N umerical Analysis
3.00 Credits
Assumption University
Roots of equations. Analysis of errors. Convergence. Interpolation and polynomial approximation. Numerical differentiation and integration. Solving linear systems, unstable matrices. The computer is used throughout the course. Prerequisite: MAT 118 or MAT 132. (Spring 2008) Brown/ Three credits
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MAT 356 - N umerical Analysis
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MAT 358: To pology
3.00 Credits
Assumption University
An introductory treatment of both point-set and combinatorial topology. Topics to be covered include topological spaces and metric spaces, classification of surfaces, homology (mod 2), and map-coloring theorems. Prerequisite: MAT 202 and MAT 232. (Spring 2009) Staff/ Three credits
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MAT 358 - To pology
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