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Course Criteria
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3.00 Credits
This course is a continuation of MATH 141. Topics to be covered will include: the Fundamental Theorem of calculus; techniques of integration; applications of the definite integral; and sequences and series. Technology will be used to explain the definition of the definite integral, to obtain numerical approximations of definite integrals, to examine the graphs of functions, and to check computations of integrals and derivatives. Credit will not be awarded for both 132 and 142. Computer intensive. Prerequisite: MATH 131 or 141, or permission of instructor. Four hours. Ms. E. Torrence.
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3.00 Credits
This course is a continuation of MATH 132/142. Topics to be covered will include: vectors; vector valued functions; functions of two or more variables; partial derivatives; multiple integrals; vector fields; and Green's Theorem. We will use Mathematica as an aid in graphing and exploring mathematical problems. Prerequisite: MATH 132 or 142. Computer intensive. Four hours. Mr. B. Torrence.
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3.00 Credits
An introduction to the algebra and geometry of three-dimensional Euclidean space and its extension to n- space. Topics include vector algebra and geometry on R3, systems of linear equations, real vector spaces Rn, linear transformation of R, Euclidean spaces, and determinants. Prerequisite: MATH 203. Three hours. Staff.
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3.00 Credits
Boolean algebra and propositional logic with applications. Elements of the theory of directed and undirected graphs. Permutations, combinations, and related combinatorial concepts. The course provides mathematical topics of particular value to students in computer science. Prerequisite: MATH 132 or 142 or CSCI 112. Three hours. Staff.
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3.00 Credits
A study of mathematics from the ancient Vedic era, early applications of the geometry of the Sulvasutras, the invention of zero and the Hindu-Arabic decimal placevalue system, medieval Indian algebra and combinatorics, the development of trigonometric series by the Kerala school and the mathematics of Srinivasa Ramanujan. Prerequisites: MATH 132 or 142. Three hours. Ms. Bhattacharya
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3.00 Credits
An introduction to the theory and application of differential equations, including the development of mathematical models of scientific phenomena. Qualitative, numerical, and analytic tools will be used to analyze these models, and technology will also play a significant role. Topics include modeling via differential equations, analytic and numeric techniques, existence and uniqueness of solutions, equilibria, bifurcations, changing variables, systems of equations, phase planes, and qualitative analysis. Computer intensive. Prerequisite: MATH 132 or 142. Three hours. Staff.
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3.00 Credits
An introduction to the theory of numbers. Topics covered will include mathematical induction, the division algorithm, the fundamental theorem of arithmetic, the Euler phi-function, congruence, Diophantine equations, the Chinese Remainder Theorem, quadratic residues, the Law of Quadratic Reciprocity, and cryptography. Students are expected to learn definitions and theorems in order to solve problems and prove results. Prerequisite: MATH 220. Offered alternate years. Three hours. Mr. Rice.
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3.00 Credits
A study of the basic properties of abstract algebraic structures, including groups, rings, and fields. The course attempts to develop the student's ability to deal with abstract mathematical ideas and proofs, while providing widely used mathematical language and tools. Prerequisite: MATH 220. Three hours. Staff.
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3.00 Credits
This course is an introduction to the theory of graphs. This mathematical theory deals with points and interconnecting lines, and has wideranging applications to computer science, operations research, and chemistry, among many other disciplines. Course topics include degree sequences, trees, Eulerian and Hamiltonian graphs, matching, factoring, coloring, planar graphs, connectivity, Menger's Theorem, and networks. Students are expected to prove theorems and understand applications of the material to practical problems. Prerequisite: Math 220 or permission of the instructor. Three hours. Staff.
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3.00 Credits
This course is a mathematical introduction to the subject of game theory. Its prime objective is to equip the student with sufficient skills to solve applied mathematical problems, taken principally from the realmof economics.Topics covered will include Zermelo's algorithm, lotteries, utility functions, bimatrix games, bargaining, cooperative and noncooperative games, mixed strategies, zero-sum games, and Nash and subgame-perfect equilibriums. Students will be expected to use mathematical definitions, formulae, and techniques to solve game theoretic problems. Prerequisite: MATH 203, or a minimum grade of B- in MATH 132/142. Offered alternate years. Three hours. Mr. Rice.
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