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MATH 215: Statistics I
3.00 Credits
Nichols College
A first course in probability and statistics covering descriptive statistics, statistical graphs, probability, probability distributions, and sampling, and hypothesis testing. Elements of regression and correlation are potential topics. Statistical tables and the Microsoft Excel software package will be used throughout the course.
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MATH 215 - Statistics I
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MATH 229: Calculus III
3.00 Credits
Nichols College
A third course in calculus, covering infinite sequences, series, curves, surfaces in spaces, vectors, functions of several variables, and multiple integrals. Arc length, curvature, partial derivatives, Lagrange multipliers, and the introduction to differential equations are also potential topics.
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MATH 229 - Calculus III
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MATH 348: Linear Algebra
3.00 Credits
Nichols College
A standard course in linear algebra covering linear systems and their solutions, matrices, determinants, vector spaces, linear transformations, quadratic forms, rank, eigenvalues, and eigenvectors.
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MATH 348 - Linear Algebra
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MATH 349: Differential Equations
3.00 Credits
Nichols College
Topics covered are first-order differential equations, linear first-order equations, exact equations, second- and higher- order differential linear equations, first-order linear systems of differential equations, and Laplace transforms.
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MATH 349 - Differential Equations
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MATH 362: Foundations of High Mathematics
3.00 Credits
Nichols College
Topics will include propositional logic, predicates and proofs, set theory, mathematical induction, number theory, relations and functions.
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MATH 362 - Foundations of High Mathematics
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MATH 395: Discrete Mathematics
3.00 Credits
Nichols College
A first course in discrete mathematics intended to present both theory and applications from areas such as networking and computer science. Topics will include sets, relations, mathematical induction, graphs, trees, matchings, network flows, combinatorics, and recurrence relations.
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MATH 395 - Discrete Mathematics
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MATH 440: Real Analysis
3.00 Credits
Nichols College
In this course, students will develop a deeper understanding and appreciation of the underlying theory of numbers, sets, and calculus. Formal proofs will be introduced and emphasized. Topics include sets and functions, mathematical induction, structure of numbers, the completeness axiom, countability, sequences, convergence, the Bolzano-Weierstrass Theorem, Cauchy sequences, continuity, limits, differentiation, mean value theorem, and Riemann integration.
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MATH 440 - Real Analysis
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MATH 441: College Geometry
3.00 Credits
Nichols College
This course involves a formal study of the concepts of geometry, the development of Euclidean geometry, and an introduction to non-Euclidean geometries.
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MATH 441 - College Geometry
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MATH 442: Abstract Algebra
3.00 Credits
Nichols College
This course is designed to introduce students to basic algebraic structures. Topics include sets, the integers and their properties, groups, rings, integral domains, and fields.
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MATH 442 - Abstract Algebra
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MATH 470: Topics in Mathematics
3.00 Credits
Nichols College
Possible areas of study are numerical analysis, the history of mathematics, advanced probability, techniques in mathematical problem solving, number theory, interest theory, actuarial exam preparation, and regression analysis. There are other topics that will be considered depending on student need and interest.
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MATH 470 - Topics in Mathematics
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