M100 Elementary Mathematical Ideas 3 credits
Successful completion of this course satisfies the mathematics competency requirement for graduation. This course prepares students for M108, M109, M145, and ST132. Topics include algebra concepts, including solving equations, systems of equations, and graphing; geometry concepts; and some concepts from probability and statistics. Students will use graphing calculators to solve problems involving numerical, graphical, and symbolic data. Students planning to take M151 should not take this course; they should take M102 to satisfy their mathematics competency, if necessary. Credit will not be granted for both this course and M102. Prerequisite: departmental placement.
M102 Intermediate Algebra 3 credits
Successful completion of this course satisfies the mathematics competency requirement for graduation. This course is especially recommended for students who intend to take M151 and need a good review of algebra before taking M115 and M116. Topics include: algebraic expressions, first-degree equations and inequalities, systems of equations in two variables, polynomials, rational expressions, exponents and radicals, and quadratic equations. Credit will not be granted for both this course and M100. Prerequisite: departmental placement.
M108 Mathematical Concepts I: Systems 3 credits
This course includes concepts essential to mathematics and is required for elementary education majors. Topics include: set theory, numbers and numeration, operations, number theory, rational numbers, and problem solving. This course is open only to elementary education majors. Prerequisite: mathematics competency.
M109 Mathematical Concepts II: Geometry 3 credits
This course includes concepts essential to mathematics and is required for elementary education majors. Topics include: informal geometry, measurement, problem solving, descriptive statistics, and elementary probability. This course is open only to elementary education majors. Prerequisite: mathematics competency.
M115 College Algebra 3 credits
This course and M116 prepare students for M151 Calculus I. Topics include: basic concepts of algebra, equations and inequalities, coordinate geometry, functions, graphing techniques, polynomial and rational functions, exponential and logarithmic functions, and systems of equations. Prerequisite: M102 or departmental placement.
M116 College Trigonometry 2 credits
This course and M115 prepare students for M151 Calculus I. Topics include: angle measure, trigonometric functions of any angle, right triangle trigonometry, trigonometric functions of a real number, graphs of trigonometric functions, trigonometric identities and equations, and inverse trigonometric functions. Prerequisite: M115 (may be concurrent) or departmental placement.
M145 Finite Mathematics 3 credits
This course provides an introduction to noncalculus mathematical modeling methods prevalent in business. Topics include: matrix methods, systems of linear equations and inequalities, linear programming by the geometric method and by the simplex method, and the mathematics of finance. Prerequisite: mathematics competency satisfied.
M151 Calculus I 4 credits
This course provides an introduction to the differential and integral calculus. Topics include: the concepts of function, limit, continuity, derivative, definite and indefinite integrals, and an introduction to transcendental functions. Credit will not be granted for this course and M308 or M309. Prerequisites: M115 and M116, or departmental placement.
M152 Calculus II 4 credits
This course is a continuation of M151. Some of the topics of M151 are revisited at a higher mathematical level. Topics include: limits, differentiation, applications of the definite integral, inverse trigonometric functions, techniques of integration, improper integrals, indeterminate forms, numerical methods for integration and approximation, curves in the plane given parametrically, polar coordinates, and vectors in 2-space and 3-space. Prerequisite: Minimum grade of C in M151 or departmental placement.
M201 Survey of Advanced Mathematics 1 credit
This course is designed for outstanding freshman calculus students. It offers them an introduction to mathematical concepts normally reserved for upper division courses. Sample topics include: fundamentals of axiomatic systems; great theorems of number theory; non-Euclidean geometry; Cantor’s theory of transfinite numbers and the nondenumerability of the continuum; Godel’s incompleteness theorem; basic topology; surprising aspects of probability and statistics; introduction to game theory. This course will be graded on a Pass/No Credit basis. Prerequisites: Grade of B or higher in M151or in M152, or consent of the instructor
M251 Calculus III 4 credits
This course continues the development of Calculus from M151 and M152. Topics include: sequences and series, conic sections, and differentiation and integration of functions of several variables. Prerequisite: Minimum grade of C in M152.
M252 Linear Algebra 4 credits
This course provides an introduction to techniques and applications of linear algebra. Topics include: systems of linear equations, matrices, determinants, Euclidean n-space, real vector spaces, basis and dimension, linear transformations, inner products, and eigenvalues and eigenvectors. Prerequisite: Minimum grade of C in M152.
M301 Foundations of Advanced Mathematics 2 credits
This course looks at topics central to further study in mathematics. Topics include symbolic logic, especially as it applies to mathematical proof; methods of mathematical proof such as direct proof, indirect proof, proof by induction; use and meaning of mathematical quantifies and predicates; sets; relations; equivalence relations and partitions; order relations; functions and their properties; and complex numbers. A junior assessment test will be administered as part of this course. Prerequisite: M251 (may be concurrent).
M308 Analysis for Teachers 3 credits
This course is designed to strengthen the mathematical background of students in elementary education. It is required for the concentration in mathematics for elementary education. The course provides an overview of calculus for polynomials and rational functions. Topics include a review of algebra, limits, derivatives, integrals, and finding area by integration. This course may not be used as an upper-division elective for the mathematics major or minor or the mathematics education major. This course is also coded as M309. Credit will not be granted for both this course and M151 or M309. Prerequisites: minimum grade of B in M100 or in M102, or consent of instructor; Elementary Education major.
M309 Calculus for Business 3 credits
This course is designed to provide an introduction to calculus for polynomials and rational functions, especially as it applies to business. Topics include a review of algebra, limits, derivatives, integrals, and finding area by integration. This course may not be used as an upper-division elective for the mathematics major or minor or the mathematics education major. This course is also coded as M308. Credit will not be granted for both this course and M151or M308. Prerequisite: Minimum grade of B in M100 or in M102, or consent of instructor.
M310 Combinatorics and Graph Theory 3 credits
This course provides an introduction to combinatorial and graph theoretical techniques in mathematics. It is also designed for students in computer science. Topics include: sets, functions, combinatorial techniques, graph theory, searching algorithms, and trees. Prerequisites: CS105 or CS110/111, and M152.
M321 Modern Geometry 3 credits
This course is required for the Mathematics Education major. The course is designed to be an introduction to the foundations of geometry. Topics include: Euclidean geometry, non-Euclidean geometry, projective geometry, and geometric transformations. Prerequisite: M152.
M332 Probability 2 credits
This calculus-based course is designed to provide mathematics majors and minors with an introduction to the mathematical underpinnings of statistics. Topics include: probability axioms, probability, Bayes’ Theorem, random variables, discrete and continuous probability distributions, and expected value. Prerequisites: M152.
M341 Differential Equations with Applications 3 credits
This course provides an introduction to the theory, methods, and applications of ordinary differential equations. Topics include: first order differential equations, linear differential equations with constant coefficients, and systems of differential equations. Prerequisites: M251 and M252 (may be concurrent).
M342 Numerical Analysis 3 credits
This course provides an introduction to the theory and methods of numerical analysis. Topics include: numerical methods for solving linear and nonlinear equations, polynomial approximation of functions, numerical integration and differentiation, numerical approximation to solutions of differential equations, direct and iterative methods for solving systems of equations. Prerequisites: Either CS105 or CS110/111, and M251, M252.
M344 Applied Mathematics 3 credits
This course is especially designed to serve the physics major as well as the mathematics major who is placing emphasis on mathematical analysis. Topics include: Fourier series, the complex numbers, analytic functions, and derivatives and integrals of complex functions. Other topics may include Laurent series and residues, partial differential equations and boundary value problems. Prerequisites: M251 and M252.
M350-359 Special Topics 3 credits
Special topics in mathematics may be offered depending on student interest. Some recently taught topics courses are listed below.
M350 Number Theory 3 credits
This course provides an introduction to elementary number theory. Topics include: divisibility, prime and composite numbers, congruences, arithmetical functions, primality testing, factorization techniques, and applications to cryptography. Prerequisite: M152.
M355 Complex Analysis 3 credits
This course provides an introduction to the theory of functions of one complex variable. Topics include: the complex numbers, the complex derivative, analytic functions, power series, complex integration, Cauchy’s Theorem and Cauchy’s Integral Formula, Laurent series, and residues and poles. Prerequisite: M251.
M357 History of Mathematics 3 credits
This course provides an introduction to the historical developments in mathematics. Topics include: geometry (from Greek to modern day), number theory (from Greek to modern day), infinity, polynomial equations, calculus, complex numbers, topology, group theory, and set theory. Prerequisite: M152.
M361 Operations Research 3 credits
This course is required for the mathematics education major, providing an introduction to techniques and applications of operations research. Topics include: linear programming, game theory, queuing theory, Markovian decision processes, and decision theory. Prerequisites: M252 and M332.
M401 Abstract Algebra 3 credits
This course provides an introduction to algebraic structures. Topics include: groups, subgroups, quotient groups, group homomorphisms, rings, ideals, and fields. Prerequisites: M251, M252, and M301.
M408 Topics in Mathematics 3 credits
This course is designed to strengthen the mathematical background of students in elementary education. It is required for the concentration in mathematics for elementary education. The course consists of a selection of mathematical topics of wide interest and applicability. Topics include: graph models, linear programming, scheduling and packing problems, allocation problems, and social decision problems. This course may not be used as an upper-division elective for the mathematics major or minor or the mathematics education major. Prerequisites: M109 and elementary education major.
M411 Introduction to Analysis 3 credits
This course provides a rigorous treatment of topics in calculus. Topics include: sequences, functions, limits, continuity, derivatives, and integration. Prerequisites: M251, M252, and M301.
M491 Senior Seminar 2 credits
This course consists of student presentations from mathematics, mathematical modeling, mathematics education, or statistics. Each student will choose a topic in consultation with the instructor, do appropriate background reading, and prepare an oral presentation and written paper on the topic. A senior assessment test will be administered as part of this course. Prerequisite: senior mathematics major.
M496/497 Mathematics Internship 1–17 credits
This opportunity provides the student with experience in mathematical research or applications. The internship must be approved by the department and, depending on the nature of the internship, may be counted towards the major. Students generally are expected to give a presentation following the internship.
ST132 Reasoning with Statistics 3 credits
This course is designed to develop student facility in the use of statistical methods and the understanding of statistical concepts. The course will take a practical approach based on statistical examples taken from everyday life. Topics include: descriptive and inferential statistics, an intuitive introduction to probability, estimation, hypothesis testing, chi-square tests, regression and correlation. Appropriate technology will be used to perform the calculations for many applications, and correspondingly an emphasis will be placed on interpreting the results of statistical procedures. Credit will not be granted for this course and any of the following: BU215, B392 or ST232. Prerequisite: mathematics competency.
ST232 Introduction to Statistics 2 credits
This course is designed to provide the basic ideas and techniques of statistics. Topics include: descriptive and inferential statistics, an intuitive introduction to probability, estimation, hypothesis testing, chi-square tests, regression and correlation. This course will make significant use of appropriate technology. Topics in this course will be treated at a higher mathematical level than they are treated in ST132. Credit will not be granted for this course and any of the following: BU215, or B392 or ST132. Prerequisite: M115 or departmental placement.
ST350-359 Special Topics 3 credits
Selected topics in statistics may be offered depending on student interest.
ST371 Applied Regression Analysis 3 credits
This course provides students with an introduction to linear and non-linear models in statistics. Topics include: linear regression, multiple regression, one-, two-, and higher-way analysis of variance, and popular experimental designs. Real-world problems will be analyzed using appropriate technology. Prerequisites: M251, M332, and ST232.
ST431 Mathematical Statistics I 3 credits
This course provides a mathematical treatment of probability and statistics. Topics include: several descriptions of the concept of probability, univariate and bivariate probability distributions, joint and marginal probability distributions, covariance, hypothesis testing, estimation, data analysis, and sampling distributions. Prerequisite: M332 (may be concurrent) and ST232.
ST496/497 Statistics Internship 1–17 credits
This opportunity provides the student with experience and training in statistical techniques. The internship must be approved by the department and, depending on the nature of the internship, may be counted towards the major. Students usually are expected to give a presentation following the experience. |
|
|
