Mathematics Courses (*Statistics Courses)

101 College Algebra 
3 cr. 
Topics include real numbers, factoring, rational expressions, exponents and radicals, solving equations and inequalities (including linear, quadratic, fractional, radical, and absolute value), nontrigonometric functions (linear, polynomial, rational, root, absolute value, exponential, logarithmic, composition), and graphing. Prepares students for Math 111  Calculus for NonScience Students. Not sufficient preparation for Math 115  Calculus I. Credit is not allowed for both MATH 101 and MATH 105. 
104 Calculus with College Algebra and Trigonometry I  discontinued Fall 2018 
4 cr. 
Initial topics of MATH 115 with topics from algebra and trigonometry integrated as needed. Credit is not allowed for both MATH 104/101, MATH 104/111, or MATH 104/115. 
105 Calculus with College Algebra and Trigonometry  beginning Fall 2018 
4 cr. 
Topics include real numbers, factoring, rational expressions, exponents and radicals, solving equations and inequalities (including linear, quadratic, fractional, radical, and absolute value), functions (including linear, polynomial, rational, root, absolute value, exponential, logarithmic, trigonometric, composition), and graphing. Prepares students for Math 115  Calculus I. Credit is not allowed for both MATH 101 and MATH 105. 
111 Calculus for Nonscience Students 
3 cr. 
Limits, continuity, differentiation of algebraic, exponential and logarithmic functions. An introduction to integration. Credit is not allowed for both MATH 111/104, MATH 111/114, or MATH 111/115. PREREQUISITE: "C" or better in MATH 101, or evidence of mastery of college algebra skills. 
114 Calculus with College Algebra and Trigonometry II  discontinued Spring 2019 
4 cr. 
Remaining topics of MATH 115 with topics from algebra and trigonometry integrated as needed. Credit is not allowed for both MATH 114/110, MATH 114/111, MATH 114/115. Prerequisite: "C" or better in MATH 104. 
115 Calculus I 
4 cr. 
Limits, continuity, differentiation of algebraic, exponential, logarithmic, trigonometric, and inverse trigonometric functions, implicit differentiation, applications of the derivative, L'Hopital's Rule, and an introduction to integration. Credit is not allowed for both MATH 115/104, MATH 115/114, or MATH 115/111. 
116 Calculus II 
4 cr. 
Applications of integration (areas, volume, work, arc length, surface area), additional techniques of integration, improper integrals, infinite sequences and series, including tests of convergence, power series, Taylor and Maclaurin series, and an introduction to differential equations. Prerequisite: "C" or better in MATH 114 OR MATH 115. 
125 Fundamentals of Statistics * 
3 cr. 
Exploratory data analysis and statistical inference including graphical summaries of data, sampling distributions, confidence intervals, and hypothesis testing. Credit not allowed for both MATH 125 and MATH 225. 
135 Discrete Mathematics 
3 cr. 
Sets, functions, relations, partial order, methods of propositional logic, introduction to predicate logic, counting, recurrence relations, asymptotic analysis, techniques of proof writing including induction. 
210 Matrix Algebra 
3 cr. 
Computational aspects of systems of linear equations, matrix operations, determinants, vector spaces and subspaces, linear transformations, change of basis, eigenvalues and eigenvectors, diagonalization, and orthogonality. Prerequisite: MATH 116. Credit is not allowed for both MATH 210 and MATH 310. 
215 Calculus III 
4 cr. 
Parametric equations, polar coordinates, calculus of functions of several variables and vector valued functions, including double and triple integrals using various coordinate systems. Prerequisite: MATH 116. 
225 Introduction to Biostatistics * 
3 cr. 
Data classification and experimental design, graphical summaries of data, descriptive statistics, basic probability concepts, probability applications, (sensitivity, specificity, relative risk, odds ratio), probability distributions, sampling distributions, confidence intervals, onesample hypothesis testing. Credit is not allowed for both MATH 125/225. Prerequisite: Evidence of college level algebra skills.

250 Foundations of Higher Mathematics 
3 cr. 
An introduction to higherlevel mathematics. Topics include mathematical logic, sets, relations, functions, number systems and countability. The course emphasizes mastery of proof writing techniques including conditional, biconditional, contradiction, induction, settheoretic, and existence and uniqueness proofs. Corequisite: Math 116.

301 Introduction to Probability and Statistics I * 
3 cr. 
Univariate and multivariate probability distributions of discrete and continuous random variables, mathematical expectation, limit theorems, random variable transformations, moment generating functions. Prerequisite: MATH 116.

302W Introduction to Probability and Statistics II * 
3 cr. 
Sampling distributions of random variables, confidence intervals, and hypothesis testing for one and two sample settings. ANOVA, simple linear regression, estimation techniques, properties of estimators, likelihood ratio test. Prerequisite: MATH 301. 
308 Numerical Analysis 
3 cr. 
Linear systems, interpolation, functional approximation, numeric differentiation and integration, and solutions to nonlinear equations. May be counted as either mathematics or computer science, but not both. Prerequisites: COSC 150/160 and MATH 116. 
310 Linear Algebra 
3 cr. 
Theoretical and computational aspects of systems of linear equations, matrix operations, determinants, vector spaces and subspaces, linear transformations, change of basis, eigenvalues and eigenvectors, diagonalization and orthogonality. Includes theorems and proof writing. Prerequisites: MATH 215 and MATH 250. Credit not allowed for both MATH 210 and MATH 310. 
311 Number Theory 
3 cr. 
Divisibility, congruences, quadratic residues, Diophantine equations, and arithmetic functions. Prerequisites: MATH 310. 
314 Differential Equations 
3 cr. 
Firstorder ordinary differential equations, theory and solutions of higher order linear ordinary differential equations, the Laplace transform, numerical solutions of differential equations, applications to physical sciences and engineering. Prerequisite: MATH 116. 
325W Applied Statistics with Regression * 
3 cr. 
This course begins with a review of inferential statistics. Emphasis on data collection methods, stating hypotheses, confidence intervals and bootstrapping methods for estimating parameters are introduced. Both traditional and resampling methods are demonstrated for testing hypotheses. Additional topics covered are graphical methods for exploring distributions and determining outliers, 1way and 2way analysis of variance models using a linear models approach, and linear and multiple regression methods. JMP software is used for demonstrating methods. Prerequisite:MATH 225 or MATH 301, or permission of instructor. 
330W Fundamentals of Geometry 
3 cr. 
Euclidean and NonEuclidean geometry from both the synthetic and metric axiomatic approach. Prerequisite: MATH 215, MATH 250, and MATH 310. 
335 Biostatistics II * 
3 cr. 
This course is a continuation of Math 225 (Introduction to Biostatistics). Topics include twosample hypothesis testing, analysis of variance, correlation methods, simple linear regression, logistic regression, chisquare tests, and nonparametric statistical procedures. Prerequisite: MATH 225. 
340 Problem Solving Seminar 
1 cr. 
Solution and discussion of problems from the Putnam Examination and other sources. Completion of or concurrent enrollment in MATH 215 or permission of the instructor. 
350W History of Mathematics 
3 cr. 
Multicultural survey of the history of mathematics from the development of number systems to the development of calculus. Contributions of ancient Greek and western mathematics are emphasized, but those of the Egyptian, Babylonian, Islamic, Hindu, and Chinese cultures are also discussed. Prerequisites: MATH 311. 
PHYS 350 Mathematical Methods in Physics 
3 cr. 
A variety of theoretical methods that are useful for general problemsolving in advanced science and engineering courses: complex numbers and functions of a complex variable, Fourier series and transforms, Laplace transforms, Legendre, Laguerre and Hermite polynomials, calculus of variations, special functions and tensor analysis or other content as determined appropriate in support of upper level physics coursework. Prerequisites: MATH 215, MATH 210 (can be taken concurrently) and MATH 314 (can be taken concurrently). 
366 Operations Research 
3 cr. 
The course will provide an introduction to the background of operations including example problems and a brief history. An extensive discussion of the theory and applications of linear programming will follow. Other topics will include nonlinear programming, continuous and discrete probability models, dynamic programming, game theory and transportation and network flow models. Prerequisite: MATH 310. 
411W Abstract Algebra I 
3 cr. 
An introduction to algebraic structures with emphasis on groups, including subgroups, abelian and cyclic groups, permutation groups, cosets, and quotient groups, as well as homomorphisms and isomorphisms. Prerequisites: MATH 215, MATH 250, and MATH 310. 
412W Abstract Algebra II 
3 cr. 
A deeper examination of the algebraic structures including rings, ideals, integral domains, fields, and other selected topics. Prerequisite: MATH 411W. 
415W Introduction to Real Analysis I 
3 cr. 
Properties of real numbers, cardinality, sequences and series, properties of sets, functional limits and continuity. Prerequisites: MATH 215, MATH 250, and MATH 310. 
416W Introduction to Real Analysis II 
3 cr. 
A continuation of MATH 415W including differentiation, sequences and series of functions, integration theory and advanced topics in analysis. Prerequisite: MATH 415W. 
420 Introduction to Complex Variables 
3 cr. 
The complex number plane, analytic functions, integration of complex functions, sequences and series, and conformal mappings. Prerequisite: MATH 415W. 
423W Topology 
3 cr. 
Topological spaces, homeomorphisms, connectedness, compactness, regular and normal spaces, metric spaces, convergence, and separation axioms. Prerequisites: MATH 411W or MATH 415W. 
425W Experimental Design * 
3 cr. 
Factorial designs, fixed and random effects models, nested and nestedfactorial designs, splitplot designs, response surface designs. Prerequisite: MATH 325W or permission of instructor. 
435 Clinical Trials: Desing and Anaylsis 
3 cr. 
The clinical trial is the most powerful design for determining which potential treatment is the best one to use for managing patient care. Clinical trials are experimental where individuals are randomly assigned to one or more treatments. It is the gold standard for obtaining the highest level of evidence supporting one specific treatment over another. This course covers the basic and advanced elements involved in the design of a clinical trial. Topics include types and properties of clinical trials, ethical issues, randomization procedures, sample size estimation, baseline assessment options, compliance and dealing with missing data. Each of these topics have various sophisticated statistical issues that need consideration in the analysis. Statistical topics include analysis of stratified data, multiple comparisons and multiple endpoints, covariate adjustment, subgroup analyses, adaptive designs, noninferiority analyses and methods of imputation. This course is an applied statistics class starting with basic linear model analysis and proceeding to advanced statistical methods for analyzing longitudinal data. PREREQUISITE: Math325 or Math525, Applied Statistics with Regression (knowledge of SAS or JMP beneficial but not required). 
445 Prediction and Classification Modeling 
3 cr. 
Classification rates, ROC curves, crossvalidation techniques, modern regression methods, data reduction/principle components, stages of biomarker development, and study design issues in cancer and occupational research. Prerequisite: MATH 325W or MATH 525W 
491 Selected Topics in Mathematics 
1 cr. 
Topics selected in consultation with the advisor. 
492 Selected Topics in Math II 
2 cr. 
Topics selected in consultation with the advisor. 
493 Selected Topics in Math III 
3 cr. 
Topics selected in consultation with the advisor. 