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Course Criteria
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3.00 Credits
Vector calculus, functions of several variables, partial derivatives, multiple integrals, space analytic geometry, and line integrals. Prerequisites: MATH 222. Credits: 4(4-0).
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3.00 Credits
A continuation of first semester calculus, with an emphasis on modeling and applications of mathematics and statistics to the biological sciences. Topics to be covered include exponential and logarithmic functions, differential equations, matrices, systems of differential equations, and an introduction to probability and statistics. Prerequisites: MATH 221. Credits: 4(4-0). Offered every spring.
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3.00 Credits
Study of matrices, matrix operations, and systems of linear equations, with an introduction to vector spaces and linear transformations. Elementary applications of linear algebra are included. Prerequisites: MATH 213 or MATH 221 or permission of instructor. Credits: 3(3-0).
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3.00 Credits
The course will provide an introduction to the language of advanced mathematics and to mathematical proof. It will emphasize rigorous argument and the practice of proof in various mathematical contexts. Topics will include logic, set theory, cardinality, methods of proof, and induction. Other mathematical topics chosen at the discretion of the instructor will be included as material through which proving skills will be honed. Prerequisites: MATH 222 or by permission of the department. Credits: 3(3-0).
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3.00 Credits
Basic concepts of probability theory and statistical inference. A knowledge of calculus is not required. (Those who have completed MATH 360 may not enroll in this course for credit, and no student may receive credit for more than one 200-level statistics course, including credit for more than one of the following courses: ECON 202, MATH 242, PLSC 251, PSYC 250, and SOCL 211.) Prerequisites: Three years of high school mathematics including intermediate algebra. Credits: 3(3-0).
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0.00 - 3.00 Credits
An introduction to statistics with emphasis on applications. Topics include the description of data with numerical summaries and graphs, the production of data through sampling and experimental design, techniques of making inferences from data such as confidence intervals and hypothesis tests for both categorical and quantitative data. The course includes an introduction to computer analysis of data with a statistical computing package.Credits: 3(3-0) Offered every fall
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3.00 Credits
The goal of the course will be to present the important concepts and theorems of mathematical logic and to explain their significance to mathematics. Specific results will include compactness, completeness and incompleteness theorems, with applications including switching circuits and nonstandard analysis. Prerequisites: MATH 239. Credits: 3(3-0). Offered fall, odd years.
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3.00 Credits
This course will examine the Zermelo-Fraenkel axiom for set theory and discuss the relationship between set theory and classical mathematics. Other topics will be chosen from the following: ordinal and cardinal numbers, the Axiom of Choice, the consistency and independence of the continuum hypothesis, and large cardinals. Prerequisites: MATH 239. Credits: 3(3-0). Offered fall, even years.
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3.00 Credits
As calculus seeks to develop proficiency in analysis problem solving, the aim of this course is to develop proficiency in basic combinatorial problem solving and reasoning. Topics include: Enumeration, generating functions, sieve formulas, recurrence relations, graph theory, network analysis, trees, search theory, and block designs. Prerequisites: MATH 222, MATH 233 and either MATH 237 or MATH 239. Credits: 3(3-0). Offered every fall.
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3.00 Credits
An introduction to classical number theory dealing with such topics as divisibility, prime and composite numbers, Diophantine equations, the congruence notation and its applications, quadratic residues. Prerequisites: MATH 222 and either MATH 237 or MATH 239. Credits: 3(3-0). Offered spring, odd years.
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