Catalog Entries

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MATH 105 - Quantitative Reasoning
An immersion in quantitative problem-solving, as it relates to real-world scenarios, with the goal of producing citizens and workers capable of making informed decisions. Topics related to numbers in the news, financial mathematics, mathematical modeling, and probability and statistics enable students to sharpen their previously learned arithmetic and algebra skills. An emphasis is placed on critical reading, sound reasoning, and precise oral and written communication in various applied situations. Prerequisite: Satisfactory score on the mathematics placement examination. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08
MATH 107 - Business Statistics
An introduction to the discipline of statistics, emphasizing its applications in a business context. Topics include descriptive and inferential statistics, probability, regression, confidence intervals, and hypothesis testing. Note: Students may not receive credit for both this course and MATH 117 Introduction to Statistics or MATH 157 Probability and Statistics or MATH 208 Biostatistics. Prerequisite: Satisfactory score on the mathematics placement examination. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, Lrng Objective 03, Lrng Objective 08
MATH 110 - College Mathematics I
An exploration of numbers, their representations, relationships, and uses; arithmetic; elementary set theory; basic logic; geometry; measurement; probability; and statistics. This course offers a college-level treatment of content areas of interest to prospective early childhood and elementary teachers. Problem-solving and the communication of mathematical ideas, both verbally and algebraically, are woven throughout the course. Note: Students may not receive credit for both MATH 110 and MATH 113 Introduction to College Mathematics. Prerequisite: Satisfactory score on the mathematics placement examination or permission of the Mathematics Department. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Goal CCC - Calculating Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08
MATH 117 - Introduction to Statistics (Gen.Ed.)
An introduction to the discipline of statistics, emphasizing both statistical thinking and its application to analyzing data. Topics include sampling, design of experiments, organizing and exploring data, probability distributions such as the normal distribution, sampling distributions, hypothesis testing and confidence intervals, correlation and regression. Students are expected to express results of statistical procedures in ordinary non-technical language. Real world applications of statistical topics are emphasized throughout the course. Note: Students may not receive credit for both this course and MATH 107 Business Statistics or MATH 157 Probability and Statistics or MATH 208 Biostatistics. Prerequisite: Satisfactory score on the mathematics placement examination. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Goal CCC - Calculating Skills, Goal CCC - Computer Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08
MATH 120 - College Mathematics II
A continuation of MATH 110 College Mathematics I, providing further exploration of numbers and arithmetic, geometry, measurement, probability, and statistics from the point of view of prospective early childhood and elementary school teachers. As in MATH 110, problem solving and the communication of mathematical ideas, both verbally and algebraically, are strands that unite the course. Prerequisite: MATH 110 College Mathematics I. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course
MATH 123 - College Algebra
An exploration of numerical, graphical, and symbolic approaches to algebraic concepts with emphasis on real-world applications, modeling, and problem-solving skills. Topics include polynomials, rational expressions, equations and inequalities, systems of linear equations, matrices, and the connection between functions and their graphs. Prerequisite: MATH 095 General Mathematics or a satisfactory score on the mathematics placement examination. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Goal CCC - Calculating Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08
MATH 157 - Probability and Statistics (Gen.Ed.)
A study of probability and statistics intended for mathematics majors. After a brief survey of descriptive statistics, topics include counting techniques, discrete and continuous probability distributions, Baye’s rule, correlation and regression, confidence intervals, sampling distributions, the Central Limit Theorem, and hypothesis testing. Note: Students may not receive credit for both this course and MATH 107 Business Statistics or MATH 117 Introduction to Statistics or MATH 208 Biostatistics. Prerequisite: MATH 095 General Mathematics or a minimum score of 4.0 on the mathematics placement examination. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08
MATH 200 - Precalculus
A thorough preparation in the skills and topics needed to study calculus. After a review of polynomial and rational functions and their graphs, topics include inverse functions, exponential and logarithmic functions, and trigonometric functions. Prerequisite: Completion of MATH 123 College Algebra with a minimum grade of C (2.00) or better, or a satisfactory score on the mathematics placement examination. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Goal CCC - Calculating Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08
MATH 206 - Discrete Mathematics I
An introduction to mathematical rigor and reasoning. Topics include logic, sets, functions, combinatorics, sequences and summations, recursion, and mathematical induction, with an emphasis on methods of proof. Prerequisite: MATH 200 Precalculus or permission of the instructor. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 208 - Biostatistics
A course that covers statistical methods as they apply to the biological, health, and food sciences. The major emphasis is on hypothesis testing, including regression and analysis of variance. Descriptive statistics is also included. The statistical package Minitab is used. Note: Students may not receive credit for both this course and MATH 107 Business Statistics or MATH 117 Introduction to Statistics or MATH 157 Probability and Statistics, or BIOL 304 Biometrics. Prerequisite: Sophomore standing and satisfactory score on the mathematics placement examination. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 215 - Finite Mathematics
A study of mathematical models in various disciplines. Topics include logic, sets, functions, combinatorics, probability, matrices, Markov chains, linear programming, game theory, and digraphs. Prerequisite: MATH 200 Precalculus or permission of the instructor. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 217 - Business Calculus
A survey of the mathematical skills required in upper-level business courses. Emphasis is placed on applications of mathematics discussed in a business context. Topics include functions, polynomial equations, linear models and regression, systems of linear equations and matrix equations, and differential calculus. Prerequisites: ECON 101 Principles of Macroeconomics or ECON 102 Principles of Microeconomics; and MATH 107 Business Statistics. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: D.v1_DomainGenEd-Domain II-A, Undergraduate Level Course, Lrng Objective 03, Lrng Objective 08
MATH 219 - Calculus I
A study of functions, limits, continuity, the derivative, rules of differentiation of algebraic, trigonometric, exponential and logarithmic functions, applications of differentiation, definite and indefinite integrals, and the Fundamental Theorem of Calculus. Prerequisite: Completion of MATH 200 Precalculus with a minimum grade of C (2.00) or better, or a satisfactory score on the mathematics placement examination. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Goal CCC - Calculating Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08
MATH 220 - Calculus II
A study of the applications of integration, first-order linear and separable differential equations, techniques of integration, improper integrals, sequences, series, and Taylor and Maclaurin Series. Prerequisite: Completion of MATH 219 Calculus I with a minimum grade of C (2.00) or better. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 221 - Calculus III
A study of conic sections; vectors in two and three dimensions; dot and cross products and their applications to geometry; equations of lines and planes; quadratic surfaces; polar, cylindrical, and spherical coordinates; and functions of several variables, partial derivatives, differentials, directional derivatives, gradients, optimization problems, multiple integrals and their applications. Prerequisite: MATH 220 Calculus II. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 222 - Differential Equations
A study of the methods for solving linear and elementary nonlinear differential equations with special emphasis on applications in the sciences. Topics covered include equations of the variable separable type; exact, homogeneous and Bernoulli equations; the method of substitution; approximation methods; linear equations; series techniques; Laplace transforms; systems of equations; and the Sturm-Liouville theory. Prerequisites: MATH 220 Calculus II and MATH 226 Linear Algebra and Applications. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 226 - Linear Algebra and Applications
A study of vector spaces, subspaces, linear dependence, bases, dimension, linear mappings, linear equations, matrices, inner products and norms, determinants, quadratic forms, and the spectral theorem. Applications to various fields outside of mathematics are examined. Prerequisites: MATH 206 Discrete Mathematics I and MATH 219 Calculus I. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 231 - Euclidean Geometry
An investigation of the various approaches to the study of Euclidean geometry including the metric and synthetic approaches as axiomatic systems. Topics include Polyhedra, tessellations, symmetry groups, and coordinate geometry. Geometric proofs are emphasized throughout the course. An introduction to non-Euclidean geometries allows for comparisons to and contrasts with Euclidean geometry. Prerequisite: MATH 206 Discrete Mathematics I. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 301 - Problem Solving and Modeling in Mathematics
A study in problem solving with the development of banks of problems appropriate to various grade levels and selected from arithmetic, informal geometry, logic, measurement, number sequences, probability, and statistics, challenging enough to provoke interest, but realistic enough for successful experiences. Heuristics, problem solving techniques, Polya's stages of problem solving, specific strategies, and pedagogical issues are studied. Prerequisite: MATH 206 Discrete Mathematics I. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 307 - Intermediate Statistics
A study of regression and correlation analysis, chi square tests and contingency tables, design of experiments, analysis of variance, non-parametric statistics, and introduction to data analysis. Prerequisite: MATH 117 Introduction to Statistics or MATH 107 Business Statistics or MATH 208 Biostatistics. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 308 - Applied Statistical Data Processing
Practical aspects of data analysis using statistical computer packages such as MINITAB, SPSSX, AND BMDP. Multivariate statistical methods including multiple regression, analysis of covariance, factor analysis, multidimensional scaling, discriminant analysis and linear models for cross-classified categorical data are emphasized. Students do individual data analysis projects. Prerequisite: MATH 307 Intermediate Statistics. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 310 - Number Theory
A study of the integers, including divisibility, prime numbers, and modular arithmetic. Topics include congruences, the Fundamental Theorem of Arithmetic, multiplicative functions, primitive roots, quadratic reciprocity, and classic number sets. Theory is explored using a computer algebra system. Prerequisite: MATH 206 Discrete Mathematics I. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 313 - Numerical Methods
A study of topics from elementary numerical analysis including finite differences, solution of equations, interpolation, numerical integration, and numerical linear algebra. Topics examined are reinforced through computer exercises and applications. Prerequisites: MATH 220 Calculus II and one (1) computer science course. Recommended: MATH 226 Linear Algebra and Applications. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 317 - Higher Geometry
A precise, rigorous examination of the axioms and concepts of various geometries. Euclidean, non-Euclidean, and transformational geometries are investigated, and proofs are emphasized throughout the course. Prerequisite: Sophomore status and MATH 206 Discrete Mathematics I. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 319 - Abstract Algebra I
An introduction to algebraic structures including groups, rings, and fields, as well as morphisms and sub-structures. Fundamental number theoretic topics are included to establish connections and provide examples in the context of abstract algebra. Prerequisite: MATH 226 Linear Algebra. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 322 - History of Mathematics
An examination of the development of mathematical concepts through the years. The use of historical material in the classroom, the reading of original sources, and study of famous problems are emphasized. Topics include ancient Egyptian, Greek, and Islamic mathematics and, solutions to polynomial equations, up to the development of the calculus. Prerequisite: MATH 220 Calculus II. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 330 - Discrete Mathematics II
A further study of discrete mathematical structures. Topics include a brief review of sets and an exploration of graphs, trees, digraphs, and networks. Prerequisite: MATH 206 Discrete Mathematics I. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 339 - Abstract Algebra II
A continuation of MATH 319 Abstract Algebra I, with the goal of furthering the study of essential topics including: normal subgroups, ideals, polynomial rings, and Galois Theory. Additional topics are addressed to establish connections to applications in modern mathematics. Prerequisite: MATH 319 Abstract Algebra I. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 340 - Probability Theory
A study of general probability and random variables with univariate and multivariate probability distributions. Topics include axioms of probability, combinatorial and conditional probabilities, special distributions, and the Central Limit Theorem. Examples from scientific and business fields may be discussed. Upon course completion, students should be prepared for the Society of Actuaries (SOA) Preliminary Exam P (Probability). Prerequisites: MATH 206 Discrete Mathematics I and MATH 221 Calculus III (may be taken concurrently), or permission of the instructor. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 346 - Complex Analysis
A survey of the foundations of calculus of a single complex variable. Topics include defining the complex plane, differential calculus of complex functions, elementary functions on the complex plane, the Cauchy-Riemann equations, contour integrals, the Cauchy Integral Formula, Liouville’s Theorem, and the Fundamental Theorem of Algebra. Corequisite: MATH 221 Calculus III. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 348 - Mathematical Statistics I
Sample spaces, events as subsets of a sample space, probability axioms, combinatorics applied to probability problems, random variables and their distributions, special distributions, multivariate distributions, central limit theorem, and topics in statistical inference. Prerequisite: MATH 221 Calculus III plus either MATH 215 Finite Mathematics MATH 226 Linear Algebra and Applications. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 349 - Mathematical Statistics II
Estimation, decision theory and hypotheses testing, linear models, regression, analysis of variance, analysis of categorical data, and nonparametric inference. Prerequisite: MATH 348 Mathematical Statistics I. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 390 - Special Topics in Mathematics
An in-depth examination of topics in mathematics at a level beyond that of introductory courses. Topics vary depending on the interests of the instructor and may be interdisciplinary. This course may be taken twice, provided a different special topic is offered. Prerequisites: MATH 206 Discrete Mathematics I and MATH 220 Calculus II, or permission of the instructor. Additional prerequisites may be required dependent upon topic. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 404 - Seminar in Mathematics
An exploration of an advanced topic in mathematics or computer science. The particular topic is announced at least one semester in advance. Prerequisite: Permission of the instructor. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Seminar Mathematics Department Course Attributes: Undergraduate Level Course
MATH 427 - Real Analysis
Set theory, relations and functions, properties of the real number system, topology of the real line, introduction to metric spaces, limits of sequences and functions, continuous functions, differentiation, and the Riemann-Stieltjes integral. Prerequisite: MATH 221 Calculus III. 1.000 Credit hours 4.000 Lecture hours Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Undergraduate Level Course
MATH 490 - Directed Study in Mathematics
Student research on a topic or topics in higher mathematics or computer science. Suggested areas include applied algebra, numerical analysis, and mathematical physics. The student should make arrangements with the faculty member who is to direct the work one semester in advance of the work. Prerequisite: Approval of Department Chair. 1.000 Credit hours Levels: Post-Baccalaureate Tchr Lcnse, Undergraduate Schedule Types: Independent/Directed Study Mathematics Department Course Attributes: Undergraduate Level Course
MATH 495 - Internship in Mathematics
The student is encouraged (and assisted to whatever extent possible) by the Mathematics Department to seek employment during summers or part time during the school year, involving non-trivial applications of mathematics. In this manner the student can earn up to three (3) course credits, the amount of credit being decided by the student¿s advisor and the department chair. Prerequisite: Approval of the chair. 1.000 Credit hours Levels: Undergraduate Schedule Types: Lecture, Internship Mathematics Department Course Attributes: Undergraduate Level Course
MATH 807 - Intermediate Statistics
A study of regression and correlation analysis, chi square tests and contingency tables, design of experiments, analysis of variance, non-parametric statistics, and introduction to data analysis. Prerequisite: 43.117 Introduction to Statistics. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 808 - Applied Statistical Data Processing
Practical aspects of data analysis using statistical computer packages such as MINITAB, SPSSX, AND BMDP. Multivariate statistical methods including multiple regression, analysis of covariance, factor analysis, multidimensional scaling, discriminant analysis and linear models for cross-classified categorical data are emphasized. Students do individual data analysis projects. Prerequisite: MATH 307 Intermediate Statistics. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated Schedule Types: Lecture Mathematics Department Course Attributes: Graduate Level Course
MATH 810 - Number Theory
A study of the properties of numbers. Topics include mathematical induction, divisibility, primes, congruencies, the Chinese remainder theorem, primitive roots, quadratic reciprocity, continued fractions, partitions and the history of some classical problems.Prerequisite: 43.220 Calculus II. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 811 - Problem Solving/Modeling in Mathematics
A study in problem solving with the development of banks of problems appropriate to various grade levels and selected from arithmetic, informal geometry, logic, measurement, number sequences, probability, and statistics, challenging enough to provoke interest, but realistic enough to be successful experiences. Heuristic problem solving techniques, Polya's stages of problem solving, specific strategies, and pedagogical issues are studied. Prerequisites: 43.201 Intuitive Geometry, and 43.215 Finite Mathematics 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 817 - Introduction to Higher Geometry Introduction to Higher Geometry
A precise, rigorous examination of the axioms and concepts of various geometries. Euclidean, non-Euclidean, and transformational geometries are investigated. Prerequisite: 43.219 Calculus I. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 819 - Abstract Algebra
A study of the algebraic structures, groups, rings, integral domains, fields, and polynomials. Note: students may not receive credit for both this course and 43.835 Algebraic Structures I (formerly Modern Algebra). Prerequisite:MATH 810 Number Theory 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 848 - Mathematical Statistics I
Sample spaces, events as subsets of a sample space, probability, axioms, combinatorics applied to probability problems, random variables and their distributions, special distributions, multivariate distributions, central limit theorem, and topics in statistical inference. Prerequisites: 43.221 Calculus III and either 43.215 Finite Mathematics or 43.226 Linear Algebra and Applications. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 849 - Mathematical Statistics II
Estimation, decision theory and hypothesis testing, linear models, regression, analysis of variance, analysis of categorical data, nonparametric inference. Prerequisite: 43.848 Mathematical Statistics I. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 870 - Seminar in Mathematics
An exploration of an advanced topic in mathematics or computer science. The particular topic is announced at least one semester in advance. Prerequisite: Permission of instructor. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 878 - Real Analysis
Set theory, relations and functions, properties of the real number system, topology of the real line, introduction to metric spaces, limits of sequences and functions, continuous functions, differentiation, the Riemann-Stieltjes integral. Prerequisite: 43.221 Calculus III. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 901 - Foundations of Mathematics
An in depth investigation of the fundamental concepts of mathematics and their properties. The topics range from sets and logic to abstract algebra and proof. NOTE: This course serves as a foundation to all other courses in the graduate program. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 908 - Geometry for Middle and High School Teachers I
Designed for middle and high school teachers and includes such topics as a comparison between the metric and synthetic approach to geometry, polygons, polyhedra, tessellations, constructions, proof techniques, transformations, symmetry, and geometric modeling. These topics are also used to suggest methods and approaches to the teaching of geometry. Prerequisite: MATH 901 Foundations of Mathematics or Permission of Program Coordinator. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Graduate Level Course, Secondary Education - Math, Mathematics (MEd)
MATH 910 - Algebra for the Middle and High School Teachers
Designed for middle and high school teachers and investigates the fundamental concepts of algebra. The topics will include real and complex numbers, binary operations and their properties, set theory, functions, polynomials, equations, algebraic structures, graphing, and related topics. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Graduate Level Course
MATH 913 - Mathematical Models of Collective Action
A study of collective action, cooperation, and social choice theory through the lens of mathematical game theory, specifically the Prisoner's Dilemma game. Topics include the effect of group size and selective incentives on the likelihood of success in a one-off group action, strategies that individuals employ in repeated group interactions, and how cooperation can evolve if members of the group have repeated interactions. Special attention is paid to the above topics in the context of a math classroom. Prerequisites: MATH 901 Foundations of Mathematics 1.000 Credit hours Levels: Graduate, Non-Matriculated Schedule Types: Independent/Directed Study, Lecture Division of Graduate & Cont Ed Division Mathematics Department Course Attributes: Graduate Level Course
MATH 918 - Elementary Number Theory for Teachers
A study of the summation and product notations, recursion, figurate numbers, divisibility, greatest common divisor, the Euclidean algorithm, lowest common multiple, and consequences. The course offers numerous opportunities for experimentation and exploration, and for conjecturing the myriad properties of Pascal's triangle, Fibonacci and Lucas numbers, Catlan numbers, Fermat numbers and Pell numbers. Note: Students cannot receive credit for this course if they have already completed 43.310/43.810 Number Theory. Prerequisite: Permission of Department Chair. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH 924 - Data Analyses and Statistical Concepts in Biotechnology
Designed for data interpretation, analysis and statistical application in the biotechnology industry. Students perform analysis of quality and assess risk in making business decisions. It includes discussion of appropriate experimental methods. Students apply statistical analysis software commonly used in biotechnology and professional science industries. Prerequisites: Acceptance into the P.S.M. program in Biotechnology or Graduate Certificate in Quality Assurance for Biotechnology. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated Schedule Types: Independent/Directed Study, Lecture Division of Graduate & Cont Ed Division Mathematics Department Course Attributes: Graduate Level Course, MBA/MSN/PSM Programs Crs Fee, P.S.M. - Biotechnology
MATH 926 - Geometry for Middle and High School Teachers II
A continuation of MATH 908 Geometry for Middle and High School Teachers I in which students investigate finite, taxicab, spherical, and non-Euclidean geometrics with an emphasis on hyperbolic geometry. Applications of these geometries to real life problems and other areas of mathematics are surveyed. Students create modules adapting this material to their classrooms. Prerequisites: MATH 908 Geometry for Middle and High School Teachers I and MATH 910 Algebra for the Middle and High School Teacher. 1.000 Credit hours Levels: Graduate, Non-Matriculated Schedule Types: Independent/Directed Study, Lecture Division of Graduate & Cont Ed Division Mathematics Department Course Attributes: Graduate Level Course
MATH 928 - Problem Solving for Teachers
Designed for middle and high school teachers and emphasizes the study of a variety of types of problems and the strategies that might be used to solve them. One of the important objectives of the course is to immerse teachers in a problem-solving atmosphere that encourages them to make connections to previously learned concepts, to the different areas of mathematics and to the 6-12 curriculum. Topics include problems form the fields of logic, set theory, geometry, number theory, algebra, analysis and probability. Prerequisites: Graduate coursework in at least three (3) of the following areas: logic, set theory, geometry, number theory algebra, analysis and probability or permission of the Department Chair. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Graduate Level Course
MATH 933 - Calculus I for the Middle and High School Teachers
An in-depth investigation of the development of Calculus, with a careful treatment of the limit concept with regard to differentiation and integration. The investigation includes various applications of these operations and connects them to familiar problem situations. The importance of algebra and trigonometry skills are illustrated and emphasized. Prerequisites: MATH 901 Foundations of Mathematics and MATH 910 Algebra for Middle and High School Teachers. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Division of Graduate & Cont Ed Division Mathematics Department Course Attributes: Graduate Level Course
MATH 934 - Calculus II for the Middle and High School Teacher
A continuation of MATH 933 Calculus I for Middle and High School Teachers. This course investigates the use of the limit concept in the development and application of the concept of integration. The investigation includes the topics of sequences, series, numerical integration and topics related to the Advanced Placement courses presently offered at most high schools. Prerequisites: MATH 933 Calculus I for Middle and High School Teachers. 1.000 Credit hours Levels: Graduate, Non-Matriculated Schedule Types: Lecture Division of Graduate & Cont Ed Division Mathematics Department Course Attributes: Graduate Level Course
MATH 985 - Directed Study in Mathematics
Student research on a topic or topics in higher mathematics or computer science. Suggested areas include applied algebra, numerical analysis, and mathematical physics. The student should make arrangements with the faculty member who is to direct his/her work one semester in advance of the work. 1.000 Credit hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Internship Mathematics Department
MATH 990 - Directed Study in Mathematics
Student research on a topic or topics in higher mathematics or computer science. Suggested areas include applied algebra, numerical analysis, and mathematical physics. The student should make arrangements with the faculty member who is to direct his/her work one semester in advance of the work. 1.000 Credit hours Levels: Graduate Schedule Types: Independent/Directed Study Mathematics Department Course Attributes: Graduate Level Course
MATH 999 - Reading and Research in Higher Mathematics
A course where the student writes an essay or a thesis on a topic in higher mathematics, under the direction of a faculty member. 1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse Schedule Types: Independent/Directed Study, Lecture Mathematics Department
MATH LAB - Mathematics Lab Emporium for MATH 1xx
A co-requisite two-hour mathematics lab providing just-in-time remediation for students who are under-prepared in math. Students must be enrolled in a corresponding credit-bearing mathematics course and are required to attend this weekly faculty-led math lab. Attendance and assignments are incorporated into the final grade of lecture course. Note: This is a non-credit course. 0.000 Credit hours 2.000 Lab hours Levels: Non-Matriculated, Undergraduate Schedule Types: Other Mathematics Department Course Attributes: MATH Lab for PTMA =< 1.0

MATH 105 - Quantitative Reasoning

An immersion in quantitative problem-solving, as it relates to real-world scenarios, with the goal of producing citizens and workers capable of making informed decisions. Topics related to numbers in the news, financial mathematics, mathematical modeling, and probability and statistics enable students to sharpen their previously learned arithmetic and algebra skills. An emphasis is placed on critical reading, sound reasoning, and precise oral and written communication in various applied situations. Prerequisite: Satisfactory score on the mathematics placement examination.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08

MATH 107 - Business Statistics

An introduction to the discipline of statistics, emphasizing its applications in a business context. Topics include descriptive and inferential statistics, probability, regression, confidence intervals, and hypothesis testing. Note: Students may not receive credit for both this course and MATH 117 Introduction to Statistics or MATH 157 Probability and Statistics or MATH 208 Biostatistics. Prerequisite: Satisfactory score on the mathematics placement examination.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, Lrng Objective 03, Lrng Objective 08

MATH 110 - College Mathematics I

An exploration of numbers, their representations, relationships, and uses; arithmetic; elementary set theory; basic logic; geometry; measurement; probability; and statistics. This course offers a college-level treatment of content areas of interest to prospective early childhood and elementary teachers. Problem-solving and the communication of mathematical ideas, both verbally and algebraically, are woven throughout the course. Note: Students may not receive credit for both MATH 110 and MATH 113 Introduction to College Mathematics. Prerequisite: Satisfactory score on the mathematics placement examination or permission of the Mathematics Department.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Goal CCC - Calculating Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08

MATH 117 - Introduction to Statistics (Gen.Ed.)

An introduction to the discipline of statistics, emphasizing both statistical thinking and its application to analyzing data. Topics include sampling, design of experiments, organizing and exploring data, probability distributions such as the normal distribution, sampling distributions, hypothesis testing and confidence intervals, correlation and regression. Students are expected to express results of statistical procedures in ordinary non-technical language. Real world applications of statistical topics are emphasized throughout the course. Note: Students may not receive credit for both this course and MATH 107 Business Statistics or MATH 157 Probability and Statistics or MATH 208 Biostatistics. Prerequisite: Satisfactory score on the mathematics placement examination.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Goal CCC - Calculating Skills, Goal CCC - Computer Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08

MATH 120 - College Mathematics II

A continuation of MATH 110 College Mathematics I, providing further exploration of numbers and arithmetic, geometry, measurement, probability, and statistics from the point of view of prospective early childhood and elementary school teachers. As in MATH 110, problem solving and the communication of mathematical ideas, both verbally and algebraically, are strands that unite the course. Prerequisite: MATH 110 College Mathematics I.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course

MATH 123 - College Algebra

An exploration of numerical, graphical, and symbolic approaches to algebraic concepts with emphasis on real-world applications, modeling, and problem-solving skills. Topics include polynomials, rational expressions, equations and inequalities, systems of linear equations, matrices, and the connection between functions and their graphs. Prerequisite: MATH 095 General Mathematics or a satisfactory score on the mathematics placement examination.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Goal CCC - Calculating Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08

MATH 157 - Probability and Statistics (Gen.Ed.)

A study of probability and statistics intended for mathematics majors. After a brief survey of descriptive statistics, topics include counting techniques, discrete and continuous probability distributions, Baye’s rule, correlation and regression, confidence intervals, sampling distributions, the Central Limit Theorem, and hypothesis testing. Note: Students may not receive credit for both this course and MATH 107 Business Statistics or MATH 117 Introduction to Statistics or MATH 208 Biostatistics. Prerequisite: MATH 095 General Mathematics or a minimum score of 4.0 on the mathematics placement examination.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08

MATH 200 - Precalculus

A thorough preparation in the skills and topics needed to study calculus. After a review of polynomial and rational functions and their graphs, topics include inverse functions, exponential and logarithmic functions, and trigonometric functions. Prerequisite: Completion of MATH 123 College Algebra with a minimum grade of C (2.00) or better, or a satisfactory score on the mathematics placement examination.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Goal CCC - Calculating Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08

MATH 206 - Discrete Mathematics I

An introduction to mathematical rigor and reasoning. Topics include logic, sets, functions, combinatorics, sequences and summations, recursion, and mathematical induction, with an emphasis on methods of proof. Prerequisite: MATH 200 Precalculus or permission of the instructor.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 208 - Biostatistics

A course that covers statistical methods as they apply to the biological, health, and food sciences. The major emphasis is on hypothesis testing, including regression and analysis of variance. Descriptive statistics is also included. The statistical package Minitab is used. Note: Students may not receive credit for both this course and MATH 107 Business Statistics or MATH 117 Introduction to Statistics or MATH 157 Probability and Statistics, or BIOL 304 Biometrics. Prerequisite: Sophomore standing and satisfactory score on the mathematics placement examination.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 215 - Finite Mathematics

A study of mathematical models in various disciplines. Topics include logic, sets, functions, combinatorics, probability, matrices, Markov chains, linear programming, game theory, and digraphs. Prerequisite: MATH 200 Precalculus or permission of the instructor.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 217 - Business Calculus

A survey of the mathematical skills required in upper-level business courses. Emphasis is placed on applications of mathematics discussed in a business context. Topics include functions, polynomial equations, linear models and regression, systems of linear equations and matrix equations, and differential calculus. Prerequisites: ECON 101 Principles of Macroeconomics or ECON 102 Principles of Microeconomics; and MATH 107 Business Statistics.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
D.v1_DomainGenEd-Domain II-A, Undergraduate Level Course, Lrng Objective 03, Lrng Objective 08

MATH 219 - Calculus I

A study of functions, limits, continuity, the derivative, rules of differentiation of algebraic, trigonometric, exponential and logarithmic functions, applications of differentiation, definite and indefinite integrals, and the Fundamental Theorem of Calculus. Prerequisite: Completion of MATH 200 Precalculus with a minimum grade of C (2.00) or better, or a satisfactory score on the mathematics placement examination.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Goal CCC - Calculating Skills, Goal CCC - Reasoning Skills, D.v1_DomainGenEd-Domain II-A, D.v1_DomainGenEd-Core Math, Undergraduate Level Course, G3_Goal 2: Quantitative, Lrng Objective 03, Lrng Objective 08

MATH 220 - Calculus II

A study of the applications of integration, first-order linear and separable differential equations, techniques of integration, improper integrals, sequences, series, and Taylor and Maclaurin Series. Prerequisite: Completion of MATH 219 Calculus I with a minimum grade of C (2.00) or better.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 221 - Calculus III

A study of conic sections; vectors in two and three dimensions; dot and cross products and their applications to geometry; equations of lines and planes; quadratic surfaces; polar, cylindrical, and spherical coordinates; and functions of several variables, partial derivatives, differentials, directional derivatives, gradients, optimization problems, multiple integrals and their applications. Prerequisite: MATH 220 Calculus II.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 222 - Differential Equations

A study of the methods for solving linear and elementary nonlinear differential equations with special emphasis on applications in the sciences. Topics covered include equations of the variable separable type; exact, homogeneous and Bernoulli equations; the method of substitution; approximation methods; linear equations; series techniques; Laplace transforms; systems of equations; and the Sturm-Liouville theory. Prerequisites: MATH 220 Calculus II and MATH 226 Linear Algebra and Applications.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 226 - Linear Algebra and Applications

A study of vector spaces, subspaces, linear dependence, bases, dimension, linear mappings, linear equations, matrices, inner products and norms, determinants, quadratic forms, and the spectral theorem. Applications to various fields outside of mathematics are examined. Prerequisites: MATH 206 Discrete Mathematics I and MATH 219 Calculus I.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 231 - Euclidean Geometry

An investigation of the various approaches to the study of Euclidean geometry including the metric and synthetic approaches as axiomatic systems. Topics include Polyhedra, tessellations, symmetry groups, and coordinate geometry. Geometric proofs are emphasized throughout the course. An introduction to non-Euclidean geometries allows for comparisons to and contrasts with Euclidean geometry. Prerequisite: MATH 206 Discrete Mathematics I.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 301 - Problem Solving and Modeling in Mathematics

A study in problem solving with the development of banks of problems appropriate to various grade levels and selected from arithmetic, informal geometry, logic, measurement, number sequences, probability, and statistics, challenging enough to provoke interest, but realistic enough for successful experiences. Heuristics, problem solving techniques, Polya's stages of problem solving, specific strategies, and pedagogical issues are studied. Prerequisite: MATH 206 Discrete Mathematics I.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 307 - Intermediate Statistics

A study of regression and correlation analysis, chi square tests and contingency tables, design of experiments, analysis of variance, non-parametric statistics, and introduction to data analysis. Prerequisite: MATH 117 Introduction to Statistics or MATH 107 Business Statistics or MATH 208 Biostatistics.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 308 - Applied Statistical Data Processing

Practical aspects of data analysis using statistical computer packages such as MINITAB, SPSSX, AND BMDP. Multivariate statistical methods including multiple regression, analysis of covariance, factor analysis, multidimensional scaling, discriminant analysis and linear models for cross-classified categorical data are emphasized. Students do individual data analysis projects. Prerequisite: MATH 307 Intermediate Statistics.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 310 - Number Theory

A study of the integers, including divisibility, prime numbers, and modular arithmetic. Topics include congruences, the Fundamental Theorem of Arithmetic, multiplicative functions, primitive roots, quadratic reciprocity, and classic number sets. Theory is explored using a computer algebra system. Prerequisite: MATH 206 Discrete Mathematics I.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 313 - Numerical Methods

A study of topics from elementary numerical analysis including finite differences, solution of equations, interpolation, numerical integration, and numerical linear algebra. Topics examined are reinforced through computer exercises and applications. Prerequisites: MATH 220 Calculus II and one (1) computer science course. Recommended: MATH 226 Linear Algebra and Applications.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 317 - Higher Geometry

A precise, rigorous examination of the axioms and concepts of various geometries. Euclidean, non-Euclidean, and transformational geometries are investigated, and proofs are emphasized throughout the course. Prerequisite: Sophomore status and MATH 206 Discrete Mathematics I.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 319 - Abstract Algebra I

An introduction to algebraic structures including groups, rings, and fields, as well as morphisms and sub-structures. Fundamental number theoretic topics are included to establish connections and provide examples in the context of abstract algebra. Prerequisite: MATH 226 Linear Algebra.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 322 - History of Mathematics

An examination of the development of mathematical concepts through the years. The use of historical material in the classroom, the reading of original sources, and study of famous problems are emphasized. Topics include ancient Egyptian, Greek, and Islamic mathematics and, solutions to polynomial equations, up to the development of the calculus. Prerequisite: MATH 220 Calculus II.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 330 - Discrete Mathematics II

A further study of discrete mathematical structures. Topics include a brief review of sets and an exploration of graphs, trees, digraphs, and networks. Prerequisite: MATH 206 Discrete Mathematics I.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 339 - Abstract Algebra II

A continuation of MATH 319 Abstract Algebra I, with the goal of furthering the study of essential topics including: normal subgroups, ideals, polynomial rings, and Galois Theory. Additional topics are addressed to establish connections to applications in modern mathematics. Prerequisite: MATH 319 Abstract Algebra I.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 340 - Probability Theory

A study of general probability and random variables with univariate and multivariate probability distributions. Topics include axioms of probability, combinatorial and conditional probabilities, special distributions, and the Central Limit Theorem. Examples from scientific and business fields may be discussed. Upon course completion, students should be prepared for the Society of Actuaries (SOA) Preliminary Exam P (Probability). Prerequisites: MATH 206 Discrete Mathematics I and MATH 221 Calculus III (may be taken concurrently), or permission of the instructor.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 346 - Complex Analysis

A survey of the foundations of calculus of a single complex variable. Topics include defining the complex plane, differential calculus of complex functions, elementary functions on the complex plane, the Cauchy-Riemann equations, contour integrals, the Cauchy Integral Formula, Liouville’s Theorem, and the Fundamental Theorem of Algebra. Corequisite: MATH 221 Calculus III.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 348 - Mathematical Statistics I

Sample spaces, events as subsets of a sample space, probability axioms, combinatorics applied to probability problems, random variables and their distributions, special distributions, multivariate distributions, central limit theorem, and topics in statistical inference. Prerequisite: MATH 221 Calculus III plus either MATH 215 Finite Mathematics MATH 226 Linear Algebra and Applications.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 349 - Mathematical Statistics II

Estimation, decision theory and hypotheses testing, linear models, regression, analysis of variance, analysis of categorical data, and nonparametric inference. Prerequisite: MATH 348 Mathematical Statistics I.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 390 - Special Topics in Mathematics

An in-depth examination of topics in mathematics at a level beyond that of introductory courses. Topics vary depending on the interests of the instructor and may be interdisciplinary. This course may be taken twice, provided a different special topic is offered. Prerequisites: MATH 206 Discrete Mathematics I and MATH 220 Calculus II, or permission of the instructor. Additional prerequisites may be required dependent upon topic.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 404 - Seminar in Mathematics

An exploration of an advanced topic in mathematics or computer science. The particular topic is announced at least one semester in advance. Prerequisite: Permission of the instructor.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Seminar

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 427 - Real Analysis

Set theory, relations and functions, properties of the real number system, topology of the real line, introduction to metric spaces, limits of sequences and functions, continuous functions, differentiation, and the Riemann-Stieltjes integral. Prerequisite: MATH 221 Calculus III.
1.000 Credit hours
4.000 Lecture hours

Levels: Non-Matriculated, Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 490 - Directed Study in Mathematics

Student research on a topic or topics in higher mathematics or computer science. Suggested areas include applied algebra, numerical analysis, and mathematical physics. The student should make arrangements with the faculty member who is to direct the work one semester in advance of the work. Prerequisite: Approval of Department Chair.
1.000 Credit hours

Levels: Post-Baccalaureate Tchr Lcnse, Undergraduate
Schedule Types: Independent/Directed Study

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 495 - Internship in Mathematics

The student is encouraged (and assisted to whatever extent possible) by the Mathematics Department to seek employment during summers or part time during the school year, involving non-trivial applications of mathematics. In this manner the student can earn up to three (3) course credits, the amount of credit being decided by the student¿s advisor and the department chair. Prerequisite: Approval of the chair.
1.000 Credit hours

Levels: Undergraduate
Schedule Types: Lecture, Internship

Mathematics Department

Course Attributes:
Undergraduate Level Course

MATH 807 - Intermediate Statistics

A study of regression and correlation analysis, chi square tests and contingency tables, design of experiments, analysis of variance, non-parametric statistics, and introduction to data analysis. Prerequisite: 43.117 Introduction to Statistics.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 808 - Applied Statistical Data Processing

Practical aspects of data analysis using statistical computer packages such as MINITAB, SPSSX, AND BMDP. Multivariate statistical methods including multiple regression, analysis of covariance, factor analysis, multidimensional scaling, discriminant analysis and linear models for cross-classified categorical data are emphasized. Students do individual data analysis projects. Prerequisite: MATH 307 Intermediate Statistics.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated
Schedule Types: Lecture

Mathematics Department

Course Attributes:
Graduate Level Course

MATH 810 - Number Theory

A study of the properties of numbers. Topics include mathematical induction, divisibility, primes, congruencies, the Chinese remainder theorem, primitive roots, quadratic reciprocity, continued fractions, partitions and the history of some classical problems.Prerequisite: 43.220 Calculus II.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 811 - Problem Solving/Modeling in Mathematics

A study in problem solving with the development of banks of problems appropriate to various grade levels and selected from arithmetic, informal geometry, logic, measurement, number sequences, probability, and statistics, challenging enough to provoke interest, but realistic enough to be successful experiences. Heuristic problem solving techniques, Polya's stages of problem solving, specific strategies, and pedagogical issues are studied. Prerequisites: 43.201 Intuitive Geometry, and 43.215 Finite Mathematics
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 817 - Introduction to Higher Geometry Introduction to Higher Geometry

A precise, rigorous examination of the axioms and concepts of various geometries. Euclidean, non-Euclidean, and transformational geometries are investigated. Prerequisite: 43.219 Calculus I.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 819 - Abstract Algebra

A study of the algebraic structures, groups, rings, integral domains, fields, and polynomials. Note: students may not receive credit for both this course and 43.835 Algebraic Structures I (formerly Modern Algebra). Prerequisite:MATH 810 Number Theory
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 848 - Mathematical Statistics I

Sample spaces, events as subsets of a sample space, probability, axioms, combinatorics applied to probability problems, random variables and their distributions, special distributions, multivariate distributions, central limit theorem, and topics in statistical inference. Prerequisites: 43.221 Calculus III and either 43.215 Finite Mathematics or 43.226 Linear Algebra and Applications.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 849 - Mathematical Statistics II

Estimation, decision theory and hypothesis testing, linear models, regression, analysis of variance, analysis of categorical data, nonparametric inference. Prerequisite: 43.848 Mathematical Statistics I.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 870 - Seminar in Mathematics

An exploration of an advanced topic in mathematics or computer science. The particular topic is announced at least one semester in advance. Prerequisite: Permission of instructor.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 878 - Real Analysis

Set theory, relations and functions, properties of the real number system, topology of the real line, introduction to metric spaces, limits of sequences and functions, continuous functions, differentiation, the Riemann-Stieltjes integral. Prerequisite: 43.221 Calculus III.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 901 - Foundations of Mathematics

An in depth investigation of the fundamental concepts of mathematics and their properties. The topics range from sets and logic to abstract algebra and proof. NOTE: This course serves as a foundation to all other courses in the graduate program.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 908 - Geometry for Middle and High School Teachers I

Designed for middle and high school teachers and includes such topics as a comparison between the metric and synthetic approach to geometry, polygons, polyhedra, tessellations, constructions, proof techniques, transformations, symmetry, and geometric modeling. These topics are also used to suggest methods and approaches to the teaching of geometry. Prerequisite: MATH 901 Foundations of Mathematics or Permission of Program Coordinator.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Graduate Level Course, Secondary Education - Math, Mathematics (MEd)

MATH 910 - Algebra for the Middle and High School Teachers

Designed for middle and high school teachers and investigates the fundamental concepts of algebra. The topics will include real and complex numbers, binary operations and their properties, set theory, functions, polynomials, equations, algebraic structures, graphing, and related topics.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Graduate Level Course

MATH 913 - Mathematical Models of Collective Action

A study of collective action, cooperation, and social choice theory through the lens of mathematical game theory, specifically the Prisoner's Dilemma game. Topics include the effect of group size and selective incentives on the likelihood of success in a one-off group action, strategies that individuals employ in repeated group interactions, and how cooperation can evolve if members of the group have repeated interactions. Special attention is paid to the above topics in the context of a math classroom. Prerequisites: MATH 901 Foundations of Mathematics
1.000 Credit hours

Levels: Graduate, Non-Matriculated
Schedule Types: Independent/Directed Study, Lecture

Division of Graduate & Cont Ed Division
Mathematics Department

Course Attributes:
Graduate Level Course

MATH 918 - Elementary Number Theory for Teachers

A study of the summation and product notations, recursion, figurate numbers, divisibility, greatest common divisor, the Euclidean algorithm, lowest common multiple, and consequences. The course offers numerous opportunities for experimentation and exploration, and for conjecturing the myriad properties of Pascal's triangle, Fibonacci and Lucas numbers, Catlan numbers, Fermat numbers and Pell numbers. Note: Students cannot receive credit for this course if they have already completed 43.310/43.810 Number Theory. Prerequisite: Permission of Department Chair.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH 924 - Data Analyses and Statistical Concepts in Biotechnology

Designed for data interpretation, analysis and statistical application in the biotechnology industry. Students perform analysis of quality and assess risk in making business decisions. It includes discussion of appropriate experimental methods. Students apply statistical analysis software commonly used in biotechnology and professional science industries. Prerequisites: Acceptance into the P.S.M. program in Biotechnology or Graduate Certificate in Quality Assurance for Biotechnology.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated
Schedule Types: Independent/Directed Study, Lecture

Division of Graduate & Cont Ed Division
Mathematics Department

Course Attributes:
Graduate Level Course, MBA/MSN/PSM Programs Crs Fee, P.S.M. - Biotechnology

MATH 926 - Geometry for Middle and High School Teachers II

A continuation of MATH 908 Geometry for Middle and High School Teachers I in which students investigate finite, taxicab, spherical, and non-Euclidean geometrics with an emphasis on hyperbolic geometry. Applications of these geometries to real life problems and other areas of mathematics are surveyed. Students create modules adapting this material to their classrooms. Prerequisites: MATH 908 Geometry for Middle and High School Teachers I and MATH 910 Algebra for the Middle and High School Teacher.
1.000 Credit hours

Levels: Graduate, Non-Matriculated
Schedule Types: Independent/Directed Study, Lecture

Division of Graduate & Cont Ed Division
Mathematics Department

Course Attributes:
Graduate Level Course

MATH 928 - Problem Solving for Teachers

Designed for middle and high school teachers and emphasizes the study of a variety of types of problems and the strategies that might be used to solve them. One of the important objectives of the course is to immerse teachers in a problem-solving atmosphere that encourages them to make connections to previously learned concepts, to the different areas of mathematics and to the 6-12 curriculum. Topics include problems form the fields of logic, set theory, geometry, number theory, algebra, analysis and probability. Prerequisites: Graduate coursework in at least three (3) of the following areas: logic, set theory, geometry, number theory algebra, analysis and probability or permission of the Department Chair.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

Course Attributes:
Graduate Level Course

MATH 933 - Calculus I for the Middle and High School Teachers

An in-depth investigation of the development of Calculus, with a careful treatment of the limit concept with regard to differentiation and integration. The investigation includes various applications of these operations and connects them to familiar problem situations. The importance of algebra and trigonometry skills are illustrated and emphasized. Prerequisites: MATH 901 Foundations of Mathematics and MATH 910 Algebra for Middle and High School Teachers.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Division of Graduate & Cont Ed Division
Mathematics Department

Course Attributes:
Graduate Level Course

MATH 934 - Calculus II for the Middle and High School Teacher

A continuation of MATH 933 Calculus I for Middle and High School Teachers. This course investigates the use of the limit concept in the development and application of the concept of integration. The investigation includes the topics of sequences, series, numerical integration and topics related to the Advanced Placement courses presently offered at most high schools. Prerequisites: MATH 933 Calculus I for Middle and High School Teachers.
1.000 Credit hours

Levels: Graduate, Non-Matriculated
Schedule Types: Lecture

Division of Graduate & Cont Ed Division
Mathematics Department

Course Attributes:
Graduate Level Course

MATH 985 - Directed Study in Mathematics

Student research on a topic or topics in higher mathematics or computer science. Suggested areas include applied algebra, numerical analysis, and mathematical physics. The student should make arrangements with the faculty member who is to direct his/her work one semester in advance of the work.
1.000 Credit hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Internship

Mathematics Department

MATH 990 - Directed Study in Mathematics

Student research on a topic or topics in higher mathematics or computer science. Suggested areas include applied algebra, numerical analysis, and mathematical physics. The student should make arrangements with the faculty member who is to direct his/her work one semester in advance of the work.
1.000 Credit hours

Levels: Graduate
Schedule Types: Independent/Directed Study

Mathematics Department

Course Attributes:
Graduate Level Course

MATH 999 - Reading and Research in Higher Mathematics

A course where the student writes an essay or a thesis on a topic in higher mathematics, under the direction of a faculty member.
1.000 Credit hours
4.000 Lecture hours

Levels: Graduate, Non-Matriculated, Post-Baccalaureate Tchr Lcnse
Schedule Types: Independent/Directed Study, Lecture

Mathematics Department

MATH LAB - Mathematics Lab Emporium for MATH 1xx

A co-requisite two-hour mathematics lab providing just-in-time remediation for students who are under-prepared in math. Students must be enrolled in a corresponding credit-bearing mathematics course and are required to attend this weekly faculty-led math lab. Attendance and assignments are incorporated into the final grade of lecture course. Note: This is a non-credit course.
0.000 Credit hours
2.000 Lab hours

Levels: Non-Matriculated, Undergraduate
Schedule Types: Other

Mathematics Department

Course Attributes:
MATH Lab for PTMA =< 1.0

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