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MATH 316: Discrete Mathematics
3.00 Credits
University of South Dakota
Selected topics from Boolean algebra, set theory, logic, functions and relations, difference equations, recurrence relations, application of algorithms, finite graphs, trees, paths and modeling. Prerequisites and Corequisites Course prerequisite: MATH 125 or Instructor consent Credits: 3
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MATH 316 - Discrete Mathematics
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MATH 321: Differential Equations
3.00 Credits
University of South Dakota
Selected topics from ordinary differential equations including development and applications of first order, higher order linear and systems of linear equations, general solutions and solutions to initial-value problems using matrices. Additional topics may include Laplace transforms and power series solutions. Prerequisites and Corequisites Course prerequisite: MATH 125 Credits: 3
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MATH 321 - Differential Equations
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MATH 341: Math Concepts for Teachers I
3.00 Credits
University of South Dakota
An introduction to sets, numeration systems, arithmetic operations/algorithms, problem solving, and other topics. This course does not satisfy the mathematics general education requirement nor any mathematics area requirements other than those for a degree in elementary education. Prerequisites and Corequisites Course prerequisite: MATH 102 or 115 or 120 or 121 or 123 or 125 or 281 Credits: 3
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MATH 341 - Math Concepts for Teachers I
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MATH 342: Math Concepts for Teachers II
3.00 Credits
University of South Dakota
An introduction to geometry concepts, measurement, problem solving, probability, statistics, and other topics. This course does not satisfy the mathematics general education requirement nor any mathematics area requirements other than those for a degree in elementary education. Prerequisites and Corequisites Course prerequisite: MATH 102 or 115 or 120 or 121 or 123 or 125 or 281 or 341 Credits: 3
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MATH 342 - Math Concepts for Teachers II
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MATH 351: Foundations of Mathematics
3.00 Credits
University of South Dakota
A preparatory course for upper-level mathematics courses. Topics include basic propositional and predicate calculus, basic set theory, methods of proof, relations, cardinality, and other selected topics. Prerequisites and Corequisites Course prerequisite: Math 125 or Instructor consent Credits: 3
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MATH 351 - Foundations of Mathematics
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MATH 361: Modern Geometry
3.00 Credits
University of South Dakota
Course topics will be chosen from: axiomatic systems, finite geometries, Euclidean plane geometry, transformational geometry, three dimensional geometry, and non-Euclidean geometries. Prerequisites and Corequisites Course prerequisite: MATH 125 or Instructor consent Credits: 3
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MATH 361 - Modern Geometry
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MATH 411: Theory of Numbers
3.00 Credits
University of South Dakota
Properties of integers, divisibility, primes, congruencies, Diophantine equations, quadratic residues, continued fractions and the distribution of primes. Prerequisites and Corequisites Course prerequisites: MATH 125 and 351, or Instructor consent Credits: 3
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MATH 411 - Theory of Numbers
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MATH 412: Linear Algebra
3.00 Credits
University of South Dakota
A study of vector spaces, linear transformations, matrices, inner products, eigenvalues, eigenvectors, the methods of solution of systems of linear equations, and applications. Prerequisites and Corequisites Course prerequisite: MATH 125 or equivalent Credits: 3
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MATH 412 - Linear Algebra
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MATH 413: Abstract Algebra I
3.00 Credits
University of South Dakota
Introduction to the theory and applications of algebraic structures including groups, rings, and fields. Prerequisites and Corequisites Course prerequisite: MATH 351 or Instructor consent Credits: 3
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MATH 413 - Abstract Algebra I
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MATH 414: Abstract Algebra II
3.00 Credits
University of South Dakota
This is a continuation of topics from MATH 413. Prerequisites and Corequisites Course prerequisite: MATH 413 Credits: 3
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MATH 414 - Abstract Algebra II
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