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Course Criteria
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3.00 Credits
Continuation of Mathematics 170. The study of rational numbers (fractional, decimal and percentage forms), of elementary concepts in probability, of data analysis (collecting, organizing, and displaying data), and of appropriate statistical methods are the major components of the course with additional emphasis on problem-solving. Mathematics 270 is for students seeking South Carolina Teacher Licensure in early childhood education and in elementary education or a B.G.S. in Educational Studies.
Prerequisite:
MATH 170 OR MATH 201
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3.00 Credits
General first-order differential equations and second-order linear equations with applications. Other topics may include Mathematical models, computational methods, dynamical systems, aspects of higher-order linear equations, Laplace transforms, and an introduction to partial differential equations.
Prerequisite:
MATH 202
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3.00 Credits
Introduction to the algebra of finite-dimensional vector spaces. Topics covered include finite-dimensional vector spaces, matrices, systems of linear equations, determinants, change of basis, eigenvalues, and eigenvectors.
Prerequisite:
MATH 202
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3.00 Credits
Introduction to the theoretical, computational, and applied aspects of the subject. Topics covered include the Mathematical model of linear programming, convex sets and linear inequalities, the simplex method, duality, the revised simplex method, and several of the many applications. Computer solutions for several problems will be required.
Prerequisite:
MATH 304 AND (MATH 213 OR MATH 222 OR MATH 230 OR CS 226)
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3.00 Credits
Vectors and vector calculus; the calculus of real-valued functions of several variables; topics include partial derivatives, gradients, extrema problems, multiple integrals, iterated integrals, line integrals, and Green's Theorem, as time permits.
Prerequisite:
MATH 203
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3.00 Credits
Introduction to the theory and practice of building and studying mathematical models for various real world situations that may be encountered in the physical, social, life, and management sciences.
Prerequisite:
MATH 202
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3.00 Credits
This course is principally devoted to understanding and writing mathematical proofs with correctness and style. Elements of mathematical logic such as Boolean logical operators, quantifiers, direct proof, proof by contrapositive, proof by contradiction, and proof by induction are presented. Other material consists of topics such as elementary set theory, elementary number theory, relations and equivalence relations, equivalence classes, the concept of a function in its full generality, and the cardinality of sets.
Prerequisite:
MATH 203
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3.00 Credits
Descriptive statistics, elementary probability, random variables and their distributions, expected values and variances, sampling techniques, estimation procedures, hypothesis testing, decision making, and related topics from inferential statistics.
Prerequisite:
(MATH 230 OR 124) AND MATH 202
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3.00 Credits
Origins of mathematics and the development of Egyptian and Babylonian, Pythagorean, Greek, Chinese and Indian, and Arabic mathematics as well as mathematics of the Middle Ages and modern mathematics. The development of the calculus, geometry, abstract algebra, analysis, mathematics notation, and basic mathematics concepts will be emphasized as well as the personalities of mathematicians and their contributions to the subject.
Prerequisite:
MATH 202
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3.00 Credits
Introduction to the elementary aspects of the subject with topics including divisibility, prime numbers, congruencies, Diophantine equations, residues of power, quadratic residues, and number theoretic functions
Prerequisite:
MATH 202
Corequisite:
MATH 202
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