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MTH 3120: Number Theory
3.00 Credits
Mount Saint Mary College
This course offers an investigation into the basic properties of the integers. Topics include divisibility, distributions of primes, sum of squares, congruence, number theoretic functions and quadratic reciprocity. Prerequisite: MTH 2520.
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MTH 3120 - Number Theory
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MTH 4010: Mathematics for Secondary School Teachers I
3.00 Credits
Mount Saint Mary College
High school mathematics content is studied through a lens that enables students to deepen their understanding of mathematics by making connections between mathematical ideas, seeing the content in context, applying mathematics in a range of settings, and understanding the historical development of ideas. Topics include: real and complex numbers, functions, equations, algebraic structures, induction recursion, divisibility properties, integers and polynomials. Prerequisites: MTH 2530, MTH 3060.
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MTH 4010 - Mathematics for Secondary School Teachers I
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MTH 4020: Modern Geometry
3.00 Credits
Mount Saint Mary College
A study of various types of geometries: Euclidean, non-Euclidean, projective, affine, finite. Various methods of studying these geometries, axiomatic, transformational and synthetic Prerequisite: MTH 2520.
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MTH 4020 - Modern Geometry
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MTH 4030: History of Mathematics
3.00 Credits
Mount Saint Mary College
This course is a survey of the history of mathematics from ancient times through the development of calculus and the origins of modern algebra in the nineteenth century. Topics of the history of mathematics will be examined using a problem solving approach. Prerequisite: MTH 2530.
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MTH 4030 - History of Mathematics
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MTH 4031: Mathematics for Secondary School Teachers II
3.00 Credits
Mount Saint Mary College
High school mathematics content is studied through a lens then enables students to deepen their understanding of mathematics by making connections between mathematical ideas, seeing the content in new contexts, applying mathematics in a range of settings, and understand the historical development of ideas. Topics include: Euclidean congruence, transformational congruence, symmetry, distance, similarity, trigonometry, area, volume, axiomatic systems and the Cartesian model of the Euclidean Plane. Prerequisite: MTH 2530, MTH 3060.
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MTH 4031 - Mathematics for Secondary School Teachers II
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MTH 4040: Coordinating Seminar
3.00 Credits
Mount Saint Mary College
This course serves as a capstone experience. Students will demonstrate their understanding of various topics in mathematics through projects and extended readings. Prerequisite: Senior mathematics majors or permission of division.
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MTH 4040 - Coordinating Seminar
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MTH 4050: Modern Abstract Algebra
3.00 Credits
Mount Saint Mary College
Number theory, equivalence and congruence, groups, rings and fields, solution of polynomial equations. Prerequisites: MTH 2530, MTH 3060 or permission of division.
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MTH 4050 - Modern Abstract Algebra
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MTH 4100: Foundations of Mathematics
3.00 Credits
Mount Saint Mary College
This course is an introduction into the language and procedures of modern mathematics by means of an axiomatic-intuitive study of logic and set theory. The genesis of the real number system beginning with Peano’s postulates and the set of natural numbers. Other selected topics will be covered at the discretion of the instructor. Prerequisite: MTH 2520.
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MTH 4100 - Foundations of Mathematics
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MTH 4350: Combinatorics
3.00 Credits
Mount Saint Mary College
Advanced combinatorial topics and methods, including design theory, generating functions, graph theory, posets, Ramsey theory, systems of distinct representatives, applications of linear algebra. Prerequisites: MTH 2350 and MTH 3060.
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MTH 4350 - Combinatorics
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MTH 4910: Special Topics in
3.00 Credits
Mount Saint Mary College
This course covers selected advanced topics in mathematics or statistics. Prerequisite: Permission of division.
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MTH 4910 - Special Topics in
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