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MATH 3111: History of Mathematics
3.00 Credits
Seton Hall University
The development of mathematical ideas in various cultures, civilizations, and eras including Ancient Greece, Medieval China, the Renaissance, Era of Descartes and Fermat, Era of Newton and Leibniz, Modern Mathematics. Prerequisite: MATH 2511 and MATH 2611. 3 credits
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MATH 3111 - History of Mathematics
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MATH 3513: Introduction to Numerical Analysis
3.00 Credits
Seton Hall University
Direct and iterative methods for solving equations and systems of equations. Numerical methods, including interpolation, polynomial approximations, numerical differentiation and integration. Numerical solution to differential equations. Knowledge of computer programming helpful. Prerequisite: MATH 2511. 3 credits
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MATH 3513 - Introduction to Numerical Analysis
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MATH 3514: Differential Equations
3.00 Credits
Seton Hall University
Existence theorems, graphical methods, phase plane analysis, boundary value problems and selected topics. Prerequisites: MATH 2511, MATH 2813. 3 credits
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MATH 3514 - Differential Equations
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MATH 3515: Analysis I
4.00 Credits
Seton Hall University
Structure of R1 and Rn; compactness and connectedness; continuity, differentiability and integrability in Rn. Prerequisites: MATH 2411 or 2511; MATH 2813. 4 credits
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MATH 3515 - Analysis I
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MATH 3611: Introduction to Operations Research
3.00 Credits
Seton Hall University
Construction and use of mathematical models in operations research. Classical techniques for optimization of functions of one and several variables. Linear programming problem and simplex method for their solutions. Applications to practical problems. Prerequisites: MATH 2511, MATH 2813. 3 credits
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MATH 3611 - Introduction to Operations Research
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MATH 3612-3613: Discrete Mathematics I and II
3.00 Credits
Seton Hall University
Explores problem-formulation and solution strategies in widely varying domain. Allows mathematics majors familiarity with area range and techniques in computer science structures and analysis, and modeling in other fields. Underlying construction and models used in various disciplines and the modeling process. Prerequisites: MATH 2511, MATH 2813. 3 credits each
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MATH 3612-3613 - Discrete Mathematics I and II
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MATH 3711-3712: Statistical Analysis I and II
3.00 Credits
Seton Hall University
Probability spaces, random variables, sampling, the law of large numbers, central limit theorem, confidence intervals and tests of hypotheses, regression, statistical decision theory, sampling from a normal population, testing hypotheses, experimental design and analysis of variance. Other sampling methods. Prerequisites: MATH 1611, MATH 2511. 3 credits each
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MATH 3711-3712 - Statistical Analysis I and II
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MATH 3813: Number Theory
3.00 Credits
Seton Hall University
Unique factorization and its applications, congruency, quadratic reciprocity and diophantine equations. Other topics as time permits. Prerequisite: MATH 2611. 3 credits
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MATH 3813 - Number Theory
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MATH 3814: Linear Algebra and Matrix Theory
3.00 Credits
Seton Hall University
Vector spaces and algebras, unitary and orthogonal transformations, characteristic equation of a matrix, the Jordan canonical form. Bilinear, quadratic and Hermitian forms. Spectral theorem. Prerequisite: MATH 2813. 3 credits
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MATH 3814 - Linear Algebra and Matrix Theory
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MATH 3815: Algebra I
4.00 Credits
Seton Hall University
Introduction to algebraic structures: monoids, groups, rings and fields. Examples are given, and the elementary theory of these structures is described. Prerequisite: MATH 2813. 4 credits
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MATH 3815 - Algebra I
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