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Course Descriptions

View flowchart for recommended course sequences.

Mathematics Courses (*Statistics Courses)

100 Calculus with Algebra I 3 cr.
Initial topics of MATH 111 with topics from algebra integrated as needed. Credit is not allowed for both MATH 100/104, MATH 100/111, or MATH 100/115.
104 Calculus with College Algebra and Trigonometry I 4 cr.
Initial topics of MATH 115 with topics from algebra and trigonometry integrated as needed. Credit is not allowed for both MATH 104/100, MATH 104/111, or MATH 104/115. 
110 Calculus with Algebra II 3 cr.
Remaining topics of MATH 111 with topics from algebra integrated as needed. Credit is not allowed for both MATH 110/114, MATH 110/111, or MATH 110/115. Prerequisite: "C" or better in MATH 100. 
111 Calculus for Non-science Students 3 cr.
Limits, continuity, differentiation of algebraic, exponential and logarithmic functions. An introduction to integration. Credit is not allowed for both MATH 111/100, MATH 111/110, MATH 111/104, MATH 111/114, or MATH 111/115.
114 Calculus with College Algebra and Trigonometry II 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 115/100, MATH 115/110, MATH 115/104, MATH 115/114, or MATH 115/111.
116 Calculus II 4 cr.
Applications of integration (areas of 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, proof, including induction, introduction to probability, graphs. 
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, one-sample 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 higher-level 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, set-theoretic, and existence and uniqueness proofs.  Co-requisite:  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 non-linear 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 215/250.  Credit not allowed for both MATH 210/310.   
311 Number Theory 3 cr.
Divisibility, congruences, quadratic residues, Diophantine equations, and arithmetic functions. Prerequisites: MATH 215, MATH 250, and MATH 310. 
314 Differential Equations 3 cr.
First-order 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 re-sampling methods are demonstrated for testing hypotheses.  Additional topics covered are graphical methods for exploring distributions and determining outliers, 1-way and 2-way 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 Non-Euclidean 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 two-sample hypothesis testing, analysis of variance, correlation methods, simple linear regression, logistic regression, chi-square 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 215, MATH 250, and MATH 311. 
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.
Functions, sequences and series, limits, continuity and uniform continuity, derivatives. Prerequisites: MATH 215, MATH 250, and MATH 310.
416W Introduction to Real Analysis II 3 cr.
A continuation of MATH 415W including 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 nested-factorial designs, split-plot designs, response surface designs. Prerequisite: MATH 325W or permission of instructor.
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.

University Mathematics Core Courses

 

UCOR 111 Problem Solving with Creative Math 3 cr.
Learn the skills of creative problem solving strategies, logical reasoning, communication and writing focused on group interaction with a supportive environment. Explore topics in areas such as probability, statistics, graph theory, mathematics in the arts, and topics relevant to everyday life.