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MATH 260: Number Theory
3.00 Credits
University of Massachusetts Global (formerly Brandman University)
Prerequisite, MATH 111, or equivalent. The ring of integers. Divisibility. Prime numbers and factorization. Number-theoretic functions such as the Moebius function and the Euler function. Congruences, Moebius inversion, perfect numbers, diophantine equations, quadratic residues. (Offered alternative years.) 3 credits.
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MATH 260 - Number Theory
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MATH 290: Intern Program
6.00 Credits
University of Massachusetts Global (formerly Brandman University)
(Offered as needed.) 1-6 credits.
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MATH 290 - Intern Program
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MATH 299: Individual Study
1.00 - 6.00 Credits
University of Massachusetts Global (formerly Brandman University)
(Offered as needed.) 1-6 credits.
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MATH 299 - Individual Study
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MATH 350: Differential Equations
3.00 Credits
University of Massachusetts Global (formerly Brandman University)
Prerequisite, MATH 211. Students gain a solid foundation in ordinary differential equations and introduce applications of differential equations to the sciences. (Offered as needed.) 3 credits.
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MATH 350 - Differential Equations
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MATH 360: Probability Theory
3.00 Credits
University of Massachusetts Global (formerly Brandman University)
Prerequisite, MATH 210. This course covers the fundamentals of probability theory. Topics include discrete and continuous probability models, conditional probability, random variables, probability distributions, multivariate distributions, functions of random variables, sampling distributions and the Central Limit Theorem. This course is a prerequisite for Mathematical Statistics. (Offered fall semester, alternate years.) 3 credits.
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MATH 360 - Probability Theory
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MATH 361: Mathematical Statistics
3.00 Credits
University of Massachusetts Global (formerly Brandman University)
Prerequisite, Math 360. This course covers standard inferential statistics and includes the theoretical basis for these procedures. Topics include a review of sampling distributions and the Central Limit Theorem, point and interval estimation, properties of estimation, hypothesis testing, linear models including multiple linear regression, experimental design, analysis of variance, analysis of categorical data, and non-parametric statistics. (Offered spring semester, alternate years.) 3 credits.
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MATH 361 - Mathematical Statistics
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MATH 370: Special Topics in Mathematics
3.00 Credits
University of Massachusetts Global (formerly Brandman University)
(Offered as needed.) 3 credits.
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MATH 370 - Special Topics in Mathematics
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MATH 380: Introduction to Abstract Algebra
3.00 Credits
University of Massachusetts Global (formerly Brandman University)
Prerequisite, MATH 250. A first course on algebraic structures, including semigroups, monoids and groups, with many examples, some basic concepts and results about these structures (subalgebras, homomorhpisms, Cayley's Theorem, Lagrange's Theorem, Isomorphism Theorems, Modular arithmetic) and applications to error-correcting codes and cryptography. (Offered alternate years.) 3 credits.
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MATH 380 - Introduction to Abstract Algebra
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MATH 390: Introduction to Differential Geometry
3.00 Credits
University of Massachusetts Global (formerly Brandman University)
Prerequisite, Math 210. Students will learn elements of elementary Differential Geometry. They will study the classification of curves and surfaces in the Euclidean Space, as well as enter the world of abstract surfaces. (Offered as needed.) 3 credits.
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MATH 390 - Introduction to Differential Geometry
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MATH 399: Independent Study
6.00 Credits
University of Massachusetts Global (formerly Brandman University)
(Offered as needed.) 0.5-6 credits.
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MATH 399 - Independent Study
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