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MATH 201: Calculus III
3.00 Credits
William Paterson University of New Jersey
Conic sections, rotation of axes, graphing, and area in polar coordinates. Vectors and vector-valued functions, calculus of functions of several variables, including partial differentiation and multiple integrals. Prerequisite: MATH 161 4 credits
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MATH 201 - Calculus III
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MATH 202: Linear Algebra
3.00 Credits
William Paterson University of New Jersey
An introductory course in the theory of linear transformations and vector spaces. Topics include systems of equations, matrices, determinants, inner product spaces, eigenvalues, and eigenvectors. Prerequisite: MATH 161
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MATH 202 - Linear Algebra
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MATH 212: Mathematics for Teachers
3.00 Credits
William Paterson University of New Jersey
This course surveys number theory, graph theory, combinatorics, and the history of mathematics. Prerequisite: MATH 161
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MATH 230: Statistics
4.00 Credits
William Paterson University of New Jersey
A rigorous course covering measures of central tendency; measures of variation; graphical techniques for univariate and bivariate data; correlation and regression, probability, binomial and normal distributions; estimation; confidence interval; testing of hypotheses; contingency tables; analysis of variance; nonparametric methods. Use of packages such as SAS, Minitab, etc., is strongly emphasized. 4 credits Mathematics 293
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MATH 301: Modern Algebra
3.00 Credits
William Paterson University of New Jersey
An introduction to groups, isomorphisms, rings, integral domains, fields and polynomial rings. Emphasis is placed on techniques of proofs. Prerequisite: MATH 200 or CS 260
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MATH 301 - Modern Algebra
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MATH 311: Number Theory
3.00 Credits
William Paterson University of New Jersey
This is an introductory course in Number Theory for students interested in mathematics and the teaching of mathematics. The course covers basic notions of integers and sequences, divisibility, mathematical induction, prime numbers, the Fundamental Theorem of Arithmetic, Euclidean Algorithm, and the Diophantine Equations and Congruence Equations and their applications. Prerequisite: MATH 200
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MATH 311 - Number Theory
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MATH 322: Differential Equations
3.00 Credits
William Paterson University of New Jersey
A study of the methods of solution and applications of ordinary differential equations. Topics include first- and second-order equations, existence and uniqueness of solutions, separation of variables, exact equations, integrating factors, linear equations, undetermined coefficients, variation of parameters, transform methods, series solutions, systems of equations, and elementary numerical methods. Prerequisite: MATH 161
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MATH 322 - Differential Equations
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MATH 323: Foundations of Geometry
3.00 Credits
William Paterson University of New Jersey
Develops an axiomatic approach to the study of geometry with specific applications to finite and non-Euclidean geometries. Knowledge of Euclidean geometry is assumed. Prerequisites: MATH 161 and (MATH 200 or CS 260)
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MATH 324: Probability and Statistics
3.00 Credits
William Paterson University of New Jersey
A mathematical treatment of probability as well as statistics. Topics include probability axioms, discrete and continuous random variables, probability distributions, mathematical expectation, basic discrete and continuous distributions, and functions of random variables. Also covered are Central Limit Theorem, parameter estimation, confidence intervals, hypothesis testing, and linear regression. Software such as SAS or Minitab is used for hypothesis testing and regression problems. Prerequisite: MATH 161 4 credits
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MATH 324 - Probability and Statistics
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MATH 326: Mathematical Models in Finance and Interest Theory
3.00 Credits
William Paterson University of New Jersey
A course on the formulation, analysis, and interpretation of advanced mathematical models in finance and interest theory. Computers and technology will be used to give students a hands-on experience in developing and solving their own models. Applications to "real-world" problemsin interest theory, including the development of complex annuity models, will be emphasized. The course will cover the fundamentals needed for the second actuarial exam. The primary focus will be on the financial models. Prerequisite: MATH161
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MATH 326 - Mathematical Models in Finance and Interest Theory
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