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MTH 230: Discrete Mathematics
4.00 Credits
Rider University
4 credits An introduction to topics in Discrete Mathematics. This course covers methods of proof, induction and recursion, and other topics in discrete mathematics. Topics may include graph theory, trees, and symmetry groups. Prerequisite: MTH-102, MTH-105 or MTH-210.
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MTH 230 - Discrete Mathematics
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MTH 240: Linear Algebra
3.00 Credits
Rider University
3 credits Systems of linear equations; vector spaces; linear independence; determinants; orthogonality; linear maps; eigenvectors. Pre- or corequisites: MTH-210; sophomore standing; or permission of instructor. Fall.
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MTH 240 - Linear Algebra
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MTH 250: Differential Equations
3.00 Credits
Rider University
3 credits First order differential equations, separable and exact; integrating factors; second order linear differential equations; series solutions of second order linear differential equations; higher order equations; existence and uniqueness theorems; systems of linear differential equations. Prerequisites: MTH-240, MTH-211. Pre- or Corequisite: MTH-212. Spring.
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MTH 250 - Differential Equations
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MTH 308: Advanced Calculus
3.00 Credits
Rider University
3 credits Vectors, gradients, and directional derivatives, Lagrange multipliers, Taylor's theorem, multiple integrals, change of variables, line and surface integrals, Stokes' theorem. Prerequisites: B average in MTH-210 and MTH-211; MTH-212, MTH-240. Fall.
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MTH 308 - Advanced Calculus
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MTH 315: Modern Geometry
3.00 Credits
Rider University
3 credits Covers geometry from a modern point of view, with emphasis on non-Euclidean geometry, particularly projective geometry. Prerequisites: MTH-211, MTH-240. Spring.
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MTH 315 - Modern Geometry
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MTH 340: Probability and Statistical Analysis I
3.00 Credits
Rider University
3 credits Theory of sets and probability; discrete and continuous random variables and probability distributions. Emphasizes foundations and utilizes the techniques of the calculus. Prerequisite: MTH-212 or MSD-111. Fall.
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MTH 340 - Probability and Statistical Analysis I
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MTH 341: Probability and Statistical Analysis II
3.00 Credits
Rider University
3 credits Continuation of MTH-340. Foundations of mathematical statistics: normal distributions, estimation, confidence intervals and hypothesis testing; topics chosen from student's t-test, chi-square tests, analysis of variance and regression analysis. Emphasizes foundations and utilizes the techniques of the calculus. Prerequisite: MTH-340. Spring.
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MTH 341 - Probability and Statistical Analysis II
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MTH 401: Modern Algebra
3.00 Credits
Rider University
3 credits Provides an introduction to modern abstract algebra. It emphasizes the axiomatic method to analyze the major algebraic systems. The instructor will choose the topics to be studied from among the following algebraic structures: integral domains, fields, complete ordered fields, groups, polynomials, rings, ideals and modules. Prerequisite: MTH-240. Fall.
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MTH 401 - Modern Algebra
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MTH 402: Topics in Advanced Mathematics
3.00 Credits
Rider University
3 credits Chosen from advanced pure or applied mathematics. Topics vary, depending on instructor. Prerequisite: MTH-308.
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MTH 402 - Topics in Advanced Mathematics
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MTH 410: Complex Analysis
3.00 Credits
Rider University
3 credits Analytic functions, conformal mapping, power series, Cauchy's theorem, calculus of residues. Prerequisite: MTH-308. Spring.
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MTH 410 - Complex Analysis
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