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Course Criteria
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4.00 Credits
Lec. 4. Credit 4. Prerequisite: C or better in MATH 2010 ; or equivalent AP credit for MATH 1910 and MATH 2010 . Analytic geometry and vectors, differential calculus of functions of several variables, multiple integration, and topics from vector calculus.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 1920 . First order equations, linear equations of higher order, power series solutions (including Frobenius method), Laplace transforms, other topics. It is recommended but not required that students take MATH 2010 before taking MATH 2120.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 1920 . Topics to be chosen from algebra of sets and relations, functions, algebras, graphs and digraphs, monoids and machines, groups and subgroups, computer arithmetic, binary codes, logic, and languages.
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1.00 Credits
Lec. 1. Credit 1. Prerequisite: C or better in MATH 1920 and consent of instructor. Lectures on and discussion of topics from upper level mathematics to be selected by the instructor in a setting with less structure than in a traditional class.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: Recommended C or better in MATH 1130 . Introduction to parametric statistical methods with some non-parametric alternatives, sampling, probability, Type I and Type II error, sample size estimation, confidence interval estimation, test of hypotheses using normal, Student’s t, Snedecor’s F, Chi-square and the binomial distributions, linear regression, analysis of variance, and data analysis utilizing statistical software.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 3070 . Introduction to parametric statistical methods with some non-parametric alternatives, sampling, probability, Type I and Type II error, sample size estimation, confidence interval estimation, test of hypotheses using normal, Student’s t, Snedecor’s F, Chi-square and the binomial distributions, linear regression, analysis of variance, and data analysis utilizing statistical software.
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3.00 Credits
Lec. 2. Rec. 2. Credit 3. Prerequisite: C or better in MATH 1920 . A rigorous treatment of elements of logic and set theory including propositional calculus (statements, connectives, conditionals, and negation), quantifiers, sets and operations on sets, mappings, equivalence relations, and mathematical induction. Students are expected to work in an abstract setting using precise definitions and formal proofs.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 3400 . A rigorous development of geometry from first concepts using the metric approach. Topics include constructions and hyperbolic geometry.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 1920 . Probability, random variables, discrete and continuous distributions and their simulation, elementary sampling theory, and estimation with an overall emphasis on simulation of random processes (Not allowed for mathematics majors after having taken MATH 4480 (5480) .)
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2.00 Credits
Lec. 2. Credit 2. Introduction to randomization, unconditional and conditional probability, independence, and concepts of random variables. Distributions and density functions, moments and moment generating functions, univariate and multivariate random variables, random process concepts, spectral characteristics of random processes, and linear systems with random inputs.
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