Course Search Results

• MATH B230: Linear Algebra

  3.00 Credits

  University of South Carolina-Beaufort

  
  (Prerequisite: MATH B141 or consent of instructor) Linear systems and matrices, vector spaces, linear independence, rank of a matrix, linear transformations, determinants, introduction to eigenvalues and eigenvectors, diagonalization and applications. Offered Fall semester.
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• MATH B240: Calculus III

  4.00 Credits

  University of South Carolina-Beaufort

  
  (Prerequisite: Qualification through placement or a grade of 'C' or better in MATH B142) Parametric equations, polar coordinates, three dimensional analytic geometry, cylindrical and spherical coordinates, vector functions, functions of several variables, partial differentiation, max-min, Lagrange multipliers, multiple integrals and applications, integral vector calculus. Offered Spring semester.
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• MATH B242: Elementary Differential Equatn

  3.00 Credits

  University of South Carolina-Beaufort

  
  (Prerequisite: Qualification through placement or a grade of 'C' or better in MATH B142) Ordinary differential equations of first order, higher order linear equations, Laplace transform methods, series methods; numerical solution of differential equations. Applications to physical sciences and engineering. Offered Spring semester.
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• MATH B280: Computational Mathematics

  4.00 Credits

  University of South Carolina-Beaufort

  
  {CSCI B280} (Prerequisite: MATH B142 and CSCI B104 or consent of instructor) Fundamental concepts selected from linear algebra and differential equations applicable to Computational Science. Major topics include systems of linear equations, diagonalization, and numerical solutions to differential equations. The focus is on computational methods and programming skills that will be implemented in a variety of science and engineering disciplines.
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• MATH B300: Introduction to Proof

  3.00 Credits

  University of South Carolina-Beaufort

  
  (Prerequisite: Qualification through placement or a grade of 'C' or better in MATH B142) Introduction to the language and nature of reasoning, structure, and technique as they apply to advanced mathematics and proofs. Topics include logic, set theory, cardinality, and methods of proof (including induction). Offered every semester.
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• MATH B331: Foundations of Geometry

  3.00 Credits

  University of South Carolina-Beaufort

  
  (Prerequisite: Grade of 'C' or better in MATH B300) The study of geometry as a logical system based upon postulates and undefined terms. The fundamental concepts and relations of Euclidean geometry developed rigorously on the basis of a set of postulates. Some topics from non-Euclidean geometry. Offered Fall semester.
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• MATH B399: Independent Study

  1.00 Credits

  University of South Carolina-Beaufort

  
  (Prerequisite: Contract approval is required).
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• MATH B401: History of Mathematics

  3.00 Credits

  University of South Carolina-Beaufort

  
  (Prerequisite: Grade of 'C' or better in MATH B121 or MATH B141) A study of the historical development of mathematics focusing on conceptual milestones. Offered Fall semester.
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• MATH B410: Abstract Algebra I

  3.00 Credits

  University of South Carolina-Beaufort

  
  (Prerequisite: Grade of 'C' or better in MATH B230 and MATH B300) An introduction to algebraic structures. Introduction to group theory including subgroups, quotient groups, homomorphisms; introduction to rings including ideals, quotient rings, polynomial rings and fields of fractions. Offered Spring semester.
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• MATH B411: Abstract Algebra II

  3.00 Credits

  University of South Carolina-Beaufort

  
  (Prerequisite: Grade of 'C' or better in MATH B410) A continuation of studies in Algebra. An introduction to modules and field theory including vector spaces, algebras and free abelian groups; introduction to field theory including algebraic extension, Galois theory and finite fields.
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