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MATH 201: Introduction to Mathematical Reasoning
3.00 Credits
Emory & Henry College
Topics in discrete mathematics; mathematics topics and processes essential to proper understanding of material to be covered in advanced courses; emphasis on techniques of mathematical reasoning. Prerequisites: 151 and sophomore status or departmental permission.
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MATH 253: Calculus III
3.00 Credits
Emory & Henry College
Infinite series; two- and three-dimensional vectors, vector calculus; partial derivatives; multiple integrals. Use of a CAS. Prerequisite: C or higher in 152 or permission of instructor. Four semester hours.
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MATH 253 - Calculus III
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MATH 311: Fundamentals of Mathematics I
3.00 Credits
Emory & Henry College
Content and pedagogy of school mathematics. Problem solving, logic, sets, number theory, and structure and algorithms of rational numbers. Not applicable toward mathematics major. Prerequisite: one college level mathematics course and junior status.
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MATH 312: Fundamentals of Mathematics II
3.00 Credits
Emory & Henry College
Content and pedagogy of school mathematics. Problem solving, measurement, geometry, probability, and statistics. Not applicable toward mathematics major. Prerequisites: 311 and junior status.
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MATH 340: Geometry
3.00 Credits
Emory & Henry College
Topics from Euclidean geometry, using transformational approach; general axiomatic systems leading to finite and non-Euclidean geometries. Prerequisite: 201 or departmental permission.
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MATH 340 - Geometry
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MATH 350: Special Topics in Mathematics
3.00 Credits
Emory & Henry College
Topics selected by the instructor for one semester of study based on needs and interests of students, including (but not limited to) number theory, cryptology, real analysis, graph theory, or coding theory. Prerequisites: junior or senior status and permission of instructor. One to four semester hours.
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MATH 353: Differential Equations
3.00 Credits
Emory & Henry College
Some first-order methods; second-order constant coefficient equations; series solutions; first-order linear and nonlinear systems and phase-plane analysis. Applications including population growth models, simple and forced harmonic motion, the pendulum, and chaotic behavior. Use of a CAS. Prerequisites: 201 and 253.
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MATH 370: Discrete Structures
3.00 Credits
Emory & Henry College
Theoretical foundations of computer science, including sets, functions, Boolean algebra, first order predicate calculus, trees, graphs, discrete probability. Prerequisites: 201 and knowledge of a high-level programming language or departmental permission.
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MATH 420: History of Mathematics
3.00 Credits
Emory & Henry College
The historical development of mathematics over the past 5,000 years, including typical mathematical problems from various historical periods and biographical and philosophical aspects of mathematics. Prerequisites: mathematics major with senior status or departmental permission.
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MATH 421: Modern Algebra
3.00 Credits
Emory & Henry College
Binary systems, groups, rings, and fields. Normal subgroups, quotient groups, permutation groups, homomorphisms, isomorphisms, and Lagrange's theorem. Prerequisite: 201.
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