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MAT 291: Independent Study in Mathematics
1.00 - 8.00 Credits
The College of New Jersey
Prerequisite: Department permission. For individual pursuit of topics within or beyond a student's major field of study which transcend the regularly available curriculum.
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MAT 291 - Independent Study in Mathematics
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MAT 292: Guided Study in Mathematics
1.00 - 8.00 Credits
The College of New Jersey
Prerequisite: Department permission. This course allows student to study some mathematical topics under the supervision of a faculty member.
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MAT 301: Number Theory
4.00 Credits
The College of New Jersey
Prerequisite: MAT 200 Divisibility, primes, unique factorization, diophantine equations, congruences, quadratic reciprocity, and such optional topics as sums of squares, number-theoretic functions, continued fractions, prime number theory, public-key encryption, and elliptic curves.
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MAT 301 - Number Theory
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MAT 305: Abstract Algebra
4.00 Credits
The College of New Jersey
Prerequisites: MAT 200 and MAT 205 An introduction to groups, rings, integral domains and fields. Additional topics include groups of symmetries, rings of integers, rings of polynomials and construction of the field of rational numbers.
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MAT 305 - Abstract Algebra
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MAT 310: Real Analysis
4.00 Credits
The College of New Jersey
Prerequisites: MAT 200 and MAT 229 A logical development of mathematical analysis for functions of a single real variable. Topics include order, completeness, sequences, series, limits of functions, basic topology of the reals, differentiation, integration, sequences and series of functions and transcendental functions.
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MAT 310 - Real Analysis
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MAT 315: Topics in Linear Algebra
4.00 Credits
The College of New Jersey
Prerequisite: MAT 205 The course consists of a collection of topics not covered in MAT 205 and builds upon the material covered in MAT 205. Such topics may include: the Spectral Theorem of Symmetric Matrices, Quadratic Forms, Unitary and Hermitian Matrices, Jordan Canonical Forms, Schur's Theorem, applications to Linear Programming and Markov chains.
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MAT 315 - Topics in Linear Algebra
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MAT 316: Probability
4.00 Credits
The College of New Jersey
Prerequisites: MAT 200; prerequisite or corequisite: MAT 229 An introduction to probability. Topics include mathematical models, sample spaces, conditional probability, discrete and continuous distributions, expected values, moment-generating functions, Central Limit Theorem, multivariate distributions, marginal distributions, conditional distributions, correlation, and one-variable transformations of variables.
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MAT 316 - Probability
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MAT 317: Linear Programming
4.00 Credits
The College of New Jersey
Prerequisites: MAT 127 or MAT 125, and MAT 205 This course studies the optimization of linear functions with constraints. Its methods are widely used in mathematical modeling. The course provides an introduction to the algorithms, theoretical foundations, and applications of linear programming. Selected topics include: the simplex method for solving a linear program (LP), the geometry of LPs, variants of the simplex method, constructing mathematical models using LPs, duality theory, sensitivity analysis, integer programming, transportation and trans-shipment models, network models, program management models, and solving LPs using modern software packages.
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MAT 317 - Linear Programming
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MAT 318: Mathematical Statistics
4.00 Credits
The College of New Jersey
Prerequisites: STA 215 and MAT 316 Topics include: theory of sampling, law of large numbers, central limit theorem, normal approximation to binomial and Poisson distributions, estimation of population parameters, hypothesis testing, confidence methods, change of variable and order statistics.
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MAT 318 - Mathematical Statistics
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MAT 320: Complex Analysis
4.00 Credits
The College of New Jersey
Prerequisite: MAT 229 A logical development of the classical theory of functions of a complex variable, with emphasis on those parts of the theory which are most used in modern applications of the subject. Topics include: complex numbers, analytic functions, the exponential, trigonometric, hyperbolic, and logarithmic functions and their inverses; mapping by elementary functions; integrals; the Cauchy-Goursat theorem, the Cauchy integral formula, derivatives of analytic functions; the fundamental theorem of algebra; power series; residues and poles; and isolated, essential, and removable singularities.
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MAT 320 - Complex Analysis
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