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MATH 3301: Number Theory
3.00 Credits
Tarleton State University
The study of congruence relations, rational integers, diophantine equations, quadratic reciprocity law, linear forms, integral domains, and related topics. Prerequisite: 6 hours of Mathematics including MATH 2413.
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MATH 3302: Principles of Geometry
0.00 - 3.00 Credits
Tarleton State University
Introduction to Euclidean geometry. Topics will include an introduction to logic, properties of parallel lines, triangles, quadrilaterals, and measurement. Similarity and proportionality will also be addressed. Prerequisite: MATH 2413. Lab fee $5.
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MATH 3303: Concepts of Elem Math I
0.00 - 3.00 Credits
Tarleton State University
Problem solving, sets, functions, logic, elementary number theory, concepts of properties of whole numbers, rational numbers, integers, and real numbers. Designed for those planning to teach in elementary school. Prerequisites: MATH 1314 and Junior standing. Lab fee $5.
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MATH 3305: Concepts of Elem Math II
0.00 - 3.00 Credits
Tarleton State University
Basic concepts in algebra, geometry, measurement, calculators and computers, metric system, probability and statistics. Prerequisite: MATH 3303. Lab fee $5.
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MATH 3306: Differential Equations
3.00 Credits
Tarleton State University
Solutions and applications of homogeneous and nonhomogeneous ordinary differential equations, including first-order equations and higher-order linear equations. Qualitative properties of solutions are investigated, as well as exact methods for solving differential equations and initial value problems including series, Laplace transform, separation of variables, variation of parameters, and undetermined coefficients. Prerequisite: MATH 2414.
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MATH 3310: Discrete Mathematics
3.00 Credits
Tarleton State University
Introduces students to the techniques and tools of reasoning, decision making and combinational problem solving. Topics include sets and logic, combinations, probability, relations, functions and graphs, symbolic logic, finite state and Turing machines. Prerequisites: MATH 2413 or concurent enrollment.
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MATH 3311: Probability and Statistics I
3.00 Credits
Tarleton State University
Topics will include probability axioms and properties; conditional probability and independence; counting techniques; and discrete, continuous, univariate, and multivariate random variables. Prerequisite: MATH 2414.
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MATH 3320: Foundations of Mathematics
3.00 Credits
Tarleton State University
This course introduces students to concepts and forms of proof found in advanced mathematics courses. Topics include logic, set theory, mathematical induction, relations, functions, and cardinality. Prerequisites: MATH 2413.
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MATH 3332: Linear Algebra
3.00 Credits
Tarleton State University
A study of the theory of real vector spaces and linear transformations. Topics include vector spaces, inner product, norm, distance, subspaces, spanning sets, linear dependence and independence, bases, dimension, linear systems, coordinates, linear transformations, kernel, image, isomorphisms, inverse linear transformations, matrix representations of linear transformations, similarity, direct sums, and canonical forms. Prerequisites: MATH 2414, MATH 2332 and MATH 3320.
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MATH 3360: Numerical Analysis I
3.00 Credits
Tarleton State University
An introduction to numerical analysis. Topics will be selected from error analysis, solving algebraic equations, interpolation, numerical differentiation and integration, methods for solving systems of equations, approximation theory, and initial value problems of ordinary differential equations. Prerequisite: MATH 2414 and 3 hours of COSC.
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