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MATH 2206: Introduction to the Theory of Numbers
3.00 Credits
Fairmont State University
Topics include prime numbers, the unique factorization theorem, congruencies, Diophantine equations, primitive roots and the quadratic reciprocity theorem. PR: MATH 1190. Spring Semester Odd Years Only. *Beginning 2010, this course will be offered in spring semester of even years.
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MATH 2210: Mathematics for Elementary Teachers II
3.00 Credits
Fairmont State University
A continuation of Math 1110. Topics covered in the course include a continuation of the study of the real number system, an introduction to logic, probability and statistics. PR: MATH 1110 with a “C”. Must beadmitted to Teacher Education to take this course. This course will be taught for the last time in Fall 2007.
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MATH 2212: Sets, Relations and Functions
3.00 Credits
Fairmont State University
Topics to be studied are those related to sets, relations and functions which are common to most upper-level mathematics courses. Fall semester only. PR: MATH 1170 or MATH 1190. Fall Semester Only.
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MATH 2216: Introduction to Discrete Mathematics
3.00 Credits
Fairmont State University
This course is designed to provide a survey of the reasoning and objects of study found in discrete mathematics. Topics considered include sets, relations, functions, combinatorics, graphs, trees, discrete probability and recurrence relations. Interspersed throughout the course will be material on the nature of proof and analysis of algorithms. PR: MATH 1115 or MATH 1170 or MATH 1185 or MATH 1190. Fall Semester Only.
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MATH 2251: Structure of the Real Numbers
3.00 Credits
Fairmont State University
This course starts with basic concepts of sets and continues with properties of operations and a logical development of the set of real numbers. Beginning number theory concepts and an introduction to probability are also included. This course connects structure to prior math knowledge and real-world applications. This course may not be used to satisfy the Liberal Studies math requirement. PR: Math 1112 or Math ACT of 23 or Math SAT of 540 or Compass score of 63, and admission to Teacher Education.
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MATH 2252: Data Analysis and Geometry
3.00 Credits
Fairmont State University
This course offers an introduction to data analysis and statistics and the study of geometry. Included is descriptive statistics, standard and non-standard measurement, a formal and informal approach to geometry, van Hiele levels, and the use of dynamic geometry software. This course may not be used to satisfy the Liberal Studies math requirement. PR: Math 1112 or Math ACT of 23 or Math SAT of 540 or Compass score of 63, and admission to Teacher Education
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MATH 3315: Calculus II
4.00 Credits
Fairmont State University
This course is a continuation of MATH 1190. Topics include applications of the defi nite integral, exponential and logarithmic functions, inverse trigonometric functions, techniques of integration, conic sections, plane curves and polar coordinates, limits involving indeterminate forms, improper integrals, sequences, and infi nite series. Spring semester only. PR: MATH 1190.
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MATH 3315 - Calculus II
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MATH 3316: Calculus III
4.00 Credits
Fairmont State University
This course is a continuation of Math 3315. Sequences and series will be followed by a study of calculus of two and three variables. Topics include vectors, dot product, cross product, lines, planes, vector functions and their derivatives and integrals, the study of quadratic surfaces, partial differentiation, gradient and double and triple integrals. PR: MATH 3315 or (MATH 1186 and MATH 1190.) Fall Semester Only.
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MATH 3323: Mathematics for Elementary Teachers III
3.00 Credits
Fairmont State University
This is the last of three courses intended to give prospective elementary teachers adequate training in the concepts and skills of basic mathematics. A study of metric and non-metric geometry will be made, including both an informal and formal approach to proofs of elementary theorems. PR: MATH 2210 with a “C”. Must be admitted to TeacherEducation to take this course. This course will be taught for the last time in Spring 2008.
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MATH 3335: Probability and Statistics
3.00 Credits
Fairmont State University
Course topics include sample spaces, events as subsets, probability axioms, fi nite sample spaces and equiprobable measure as special case, binomial coeffi cients and counting techniques applied to probability problems, conditional probability, independent events, Bayes’ formula, random variable, probability functions, density and distribution functions, special distributions, independent random variables, Poisson and normal approximation to the binomial and some statistical applications. Students will also learn estimation and sampling, point and interval estimates, hypothesis-testing, power of a test and regression. PR: MATH 3316 or concurrent enrollment in MATH 3316. Spring Semester Only.
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