Computer Science courses are listed under the prefix CSI and CSS and are offered through the Department of Mathematical and Computer Sciences.

MTH 1080-3 Mathematical Modes of Thought (3 + 0)

Prerequisite: one year of high school algebra or the equivalent and an appropriate score on the mathematics preassessment placement test

This course is an introduction to the methods of mathematics for nontechnical students. It includes problem-solving strategies, statistical reasoning and the nature of mathematics in the curriculum. (General Studies-Level I, Mathematics)

MTH 1110-4 College Algebra (4 + 0)

Prerequisite: an intermediate algebra course or one and one-half years of secondary school algebra or equivalent and appropriate score on the mathematics preassessment placement test

The topics covered include equations and inequalities, functions and graphs, exponents and logarithms, conic sections, linear systems, elementary probability, and the binomial theorem. Basic algebraic skills are essential as a prerequisite to this course. MTH 1110 is designed to prepare students for MTH 1120, College Trigonometry and MTH 1410, Calculus I. (General Studies-Level I, Mathematics)

MTH 1120-3 College Trigonometry (3 + 0)

Prerequisite: MTH 1110 or equivalent

The topics covered include trigonometric functions, equations and identities, solution of triangles and complex numbers.

MTH 1210-4 Introduction to Statistics (4 + 0)

Prerequisites: two years of high school algebra or equivalent and an appropriate score on the mathematics preassessment test

This course is an introduction to the principles and techniques of descriptive statistics, probability, regression analysis, and statistical inference (estimation and tests of hypotheses). Students will work with data on problems related to their own interest or field of study. Credit will not be given for both MTH 1210 and MTH 1230. (General Studies-Level I, Mathematics)

MTH 1230-2 Introduction to Probability and Descriptive Statistics (2 + 0)

Prerequisite: one year of high school algebra or equivalent

This course introduces the principles and techniques of probability, descriptive statistics and probability distributions. Students will be able to learn the subjects of estimation and inferential statistics in their chosen study. This course will not count toward graduation if MTH 1210 is also taken.

MTH 1310-4 Finite Mathematics for the Management and Social Sciences (4 + 0)

Prerequisite: one and one-half years of high school algebra or equivalent and an appropriate score on the mathematics preassessment placement test

This course stresses applications in business and the social sciences. The topics covered include evaluation and graphing of functions, the geometry of straight lines, operations on matrices, solving systems of equations, and an introduction to set theory and probability theory. All sections will integrate the use of a graphing calculator into the course. A specific calculator will be required. (General Studies-Level I, Mathematics)

MTH 1320-3 Calculus for the Management and Social Sciences (3 + 0)

Prerequisite: MTH 1310 (MTH 1110 or MTH 1400 will be accepted, if necessary.) Graphing calculator experience is expected.

This course is an introduction to calculus emphasizing applications in business and social sciences. Topics include differentiation, partial differentiation, indefinite and definite integration. All sections will integrate the use of a graphing calculator into the course. A specific calculator will be required.

MTH 1400-4 Precalculus Mathematics (4 + 0)

Prerequisites: This course is designed for students who have had exposure to college algebra and trigonometry, but need a review of that material, usually in preparation for taking calculus.

This is a course covering the essentials of the algebraic and graphical properties of the polynomial, rational, exponential, logarithmic, and trigonometric functions. It is designed to prepare students for MTH 1410, Calculus I. All sections will integrate the use of a graphing calculator into the course. A specific calculator will be required. 

MTH 1410-4 Calculus I (4 + 0)

Prerequisites: MTH 1110 and MTH 1120 with grades of "C" or better, or MTH 1400 with a grade of "C" or better

This is a first course in calculus for science and engineering. The topics covered include derivatives of polynomials, trigonometric, exponential and logarithmic functions, applications of the derivative, the definite integral, and the fundamental theorem of calculus. All sections of the course will make integrated use of the software package Mathematica and/or a graphing calculator.

MTH 1510-4 Computer Programming: FORTRAN (4 + 0)

Prerequisite: MTH 1120 or MTH 1400 or equivalent

This is a first course in computer programming for students in mathematics, science, or engineering, using the FORTRAN language. It includes an introduction to computer applications, program design, testing and debugging.

MTH 1610-4 Mathematical Concepts for Teachers in Pre-secondary Schools (4 + 0)

Prerequisites: one and one-half years of high school algebra or equivalent, and an appropriate score on the mathematics preassessment test.

This course is designed to develop a sound background in the concepts underlying the presecondary mathematics curriculum. (General Studies-Level I, Mathematics)

MTH 2140-2 Computational Matrix Algebra (2 + 0)

Prerequisite: MTH 1120 or MTH 1400 or equivalent

This course is an introduction to computational matrix algebra. The computations will be done by hand and by using the software package MATLAB. The course will include the following topics: matrix operations, determinants, solutions of linear systems of equations, and eigenvalues and eigenvectors. This course will not count toward graduation if MTH 3140 is also taken.

MTH 2410-4 Calculus II (4 + 0)

Prerequisite: MTH 1410 with a grade of "C" or better, or permission of instructor

This is a second course in calculus. The topics covered include techniques of integration, applications of the integral, introductory differential equations, and infinite series, including Taylor's series. All sections of the course will make integrated use of the software package Mathematica and/or a graphing calculator.

MTH 2420-4 Calculus III (4 + 0)

Prerequisite: MTH 2410 with a grade of "C" or better, or permission of instructor

This course in the calculus of functions of more than one variable includes the following topics: partial derivatives, definite integrals over plane and solid regions, vectors and their applications, and Green's Theorem and its generalizations. All sections of the course will make integrated use of the software package Mathematica and/or a graphing calculator.

MTH 2530-2 Introduction to Mathematica (2 + 0)

Prerequisite: MTH 2410 with a grade of "C" or better, or permission of instructor

This course is an introduction to the mathematical symbolic manipulation software package Mathematica and its use in solving problems from calculus and matrix algebra. This course also presents familiar concepts from calculus from a new perspective in order to strengthen the students' mathematical understanding.

MTH 3100-3 Introduction to Mathematical Proofs (3 + 0)

Prerequisite: MTH 2410 with a grade of "C" or better, or permission of instructor

This course is designed to introduce the student to mathematical proofs and abstract mathematics with topics in the predicate calculus, induction, well-ordering principle, sets, relations, and functions.

MTH 3110-3 Abstract Algebra I (3 + 0)

Prerequisite: MTH 3100 with a grade of "C" or better, or permission of instructor

This course is a survey of the principle structures of modern abstract algebra, including introductions to the theories of groups, rings, integral domains, and fields. Each structure is introduced by examples, then basic properties are derived, and the appropriate applications are introduced.

MTH 3140-4 Linear Algebra (4 + 0)

Prerequisite: MTH 3100 with a grade of "C" or better or CSI 3100 with a grade of "C" or better, or permission of instructor

This course is an introduction to the theory and application of vector spaces, linear transformations, matrix representations, eigenvalues, and eigenvectors. A software package will be used in this course.

MTH 3200-3 Biostatistics (3 + 0)

Prerequisite: MTH 1110 or equivalent or permission of instructor

This is a course in the application of statistics to the biological and health sciences. The topics covered include descriptive statistics, statistical inference and methods. 

MTH 3210-4 Probability and Statistics (4 + 0)

Prerequisite: MTH 2410 with a grade of "C" or better, or permission of instructor

This is a course in the application and theory of the principles of probability and statistics in the sciences and engineering. It includes random variables, probability distributions, sampling, estimation, tests of hypotheses, and regression analysis.

MTH 3220-4 Design of Experiments (4 + 0)

Prerequisite: MTH 3210 and either MTH 2140 or MTH 3140, all with grades of "C" or better, or permission of instructor

This is a course in the application and theory of statistical methods in the sciences and engineering. It includes analysis of variance, factorial experiments, and regression analysis.

MTH 3240-4 Environmental Statistics (4 + 0)

Prerequisites: MTH 1110 and MTH 1210, or permission of instructor

This is a course in inferential statistics, sampling techniques, and quality control as they relate to environmental issues. Students will work with data and problems related to the environmental science field of study. This course does not count toward a major in mathematics.

MTH 3250-4 Optimization Techniques I (4 + 0)

Prerequisite: MTH 2140 or MTH 3140 with a grade of " C" or better, or permission of instructor

This course is an introduction to the mathematical programming techniques of operations research including linear programming and topics selected from integer programming, network analysis, dynamic programming, and game theory.

MTH 3260-4 Optimization Techniques II (4 + 0)

Prerequisites: MTH 1410 and MTH 2140 or permission of instructor

This course is a study of mathematical planning techniques and probabilistic techniques of operations research. The topics covered will be selected from: simulation theory, decision theory, inventory theory, Markov chains, queuing theory, nonlinear programming, geometric programming, and economic analysis.

MTH 3420-4 Differential Equations (4 + 0)

Prerequisite: MTH 2420 with a grade of "C" or better and knowledge of Mathematica, or permission of instructor; knowledge of Mathematica can be satisfied by MTH 2530 or both first and second semester calculus where Mathematica is used

This course includes a study of first, second, and higher order differential equations and systems giving solutions in closed form, by numerical approximations (including series), and through Laplace transforms. These techniques are applied to problems in the physical sciences and engineering.

MTH 3440-4 Partial Differential Equations (4 + 0)

Prerequisite: MTH 3420 with a grade of "C" or better and knowledge of Mathematica, or permission of instructor; knowledge of Mathematica can be satisfied by MTH 2530 or both first and second semester calculus where Mathematica is used

This is a course in partial differential equations and their solutions. It includes separation of variables techniques, Fourier series, and applications to the heat equation, the wave equation, and the potential equation.

MTH 3470-3 Introduction to Discrete Mathematics and Modeling (3 + 0)

Prerequisite: MTH 2410 with a grade of "C" or better, or permission of instructor

This is a problem-solving course. Topics will include enumeration, graph theory, difference equations, modeling, simulation, fractal geometry, and dynamical systems.

MTH 3650-3 Foundations of Geometry (3 + 0)

Prerequisite: MTH 3100 with a grade of "C" or better, or permission of instructor

This course will re-examine Euclidean geometry via Hilbert's axioms. This will allow a coherent approach to projective, Euclidean, non-Euclidean, and other related geometries. It is designed for prospective secondary teachers and others interested in modern geometric theories.

MTH 4110-3 Abstract Algebra II (3 + 0)

Prerequisite: MTH 3110 or permission of instructor

This course is a continuation of MTH 3110 with emphasis on an in-depth study of the properties of the structures introduced in MTH 3110. It includes Sylow theory, ideals and their properties, principal ideal domains, field extensions and finite fields.

MTH 4150-3 Elementary Number Theory (3 + 0)

Prerequisite: MTH 3100 or CSI 3100 or permission of instructor

This course introduces the basic concepts of number theory including the Euclidean algorithm, congruences, number-theoretic functions, and the Chinese remainder theorem. 

MTH 4210-4 Probability Theory (4 + 0)

Prerequisites: MTH 3210 with a grade of "C" or better and senior standing, or permission of instructor

This is a course in the theory of discrete and continuous probability with applications in the sciences and engineering. It includes sample spaces, combinatorial probability, random variables, sets of random variables and random sequences, conditional probability, expectation, and special distributions. It also includes beginning analysis of Markov chains. (Senior Experience)

MTH 4220-4 Stochastic Processes (4 + 0)

Prerequisite: MTH 4210 with a grade of "C" or better, or permission of instructor

This course is an introduction to random processes with applications in the sciences and engineering. It includes examples and properties of stochastic processes, specifically, it includes discrete and continuous Markov processes, the exponential distribution and Poisson process, and other processes including queuing theory.

MTH 4230-4 Applied and Computational Statistics (4 + 0)

Prerequisites: MTH 3220 with a grade of "C" or better, or permission of instructor

This course will cover advanced methods in statistics, including regression and multivariate analysis. Additional topics will be chosen from time series, survival analysis, sampling, bootstrap methods, Taguchi designs, or others chosen by the instructor. The students will use statistical computer packages.

MTH 4290-1 Senior Statistics Project (1 + 0)

Prerequisites: MTH 3210, MTH 3220, MTH 4210, and permission of instructor

In this course, students will apply the statistical techniques covered in previous coursework to a real world situation. The students will write a report containing a description of the problem, statistical tools used, design of experiments, analysis, and results of the study.

MTH 4390-1 Mathematics Senior Seminar (1 + 0)

Prerequisites: senior standing in mathematics and permission of instructor

This course will provide each student a closer examination of selected topics from the required core courses and from four upper-division mathematics courses selected from courses the student has taken. The course will concentrate on allowing the students to increase their theorem-proving and problem-solving skills.

MTH 4410-4 Advanced Calculus I (4 + 0)

Prerequisites: MTH 2420, MTH 3100, and senior standing, or permission of instructor

This is the first course of a two-semester sequence that includes a treatment of calculus with emphasis on proofs of theorems. The topics covered will be selected from: structure of the real number system, infinite series, vector calculus, applications of partial differentiation, integration, and function theory. (Senior Experience)

MTH 4420-3 Advanced Calculus II (3 + 0)

Prerequisite: MTH 4410 or permission of instructor

Continuation of MTH 4410.

MTH 4450-4 Complex Variables (4 + 0)

Prerequisite: MTH 2420 or permission of instructor

This course is an introduction to complex numbers, analytic functions, conformal mapping, contour integrals, and residues and poles.

MTH 4480-4 Numerical Analysis I (4 + 0)

Prerequisites: MTH 1510 or CSI 1300, MTH 3140 or MTH 2140, MTH 2410 , all with a grade of "C" or better, senior standing, and knowledge of Mathematica, or permission of instructor; knowledge of Mathematica can be satisfied by MTH 2530 or both first and second semester calculus where Mathematica is used

This course includes numerical solutions of algebraic and transcendental equations, numerical differentiation and integration, numerical linear algebra, and polynomial interpolation. The use of a computer is an essential part of this course. (Senior Experience)

MTH 4490-4 Numerical Analysis II (4 + 0)

Prerequisites: MTH 3420 and MTH 4480 with grades of "C" or better, or permission of instructor

This course includes approximation of functions, non-linear systems, numerical solutions of differential equations, and numerical techniques of integration.

MTH 4590-1 Applied Mathematics Senior Seminar (1 + 0)

Prerequisite: MTH 3420, MTH 4480, and permission of instructor

This course will provide a closer examination of selected topics from the required courses in the Applied Mathematics emphasis, allows the students an opportunity to increase their problem-solving skills, and further exposes the students to mathematical software. 

MTH 4600-1 Seminar in Problem Solving (1 + 0)

Prerequisites: MTH 3100 or MTH 3420 or permission of instructor

This is a seminar in mathematical problem solving. Students will investigate factors of problem solving, such as belief systems, control mechanisms, heuristics and mathematical resources. This investigation will be carried out in the context of working on a collection of problems designed to illustrate these factors. Problems from the William Lowell Putnam National Mathematics Examination are included in this collection.

MTH 4640-4 History of Mathematics (4 + 0)

Prerequisite: MTH 3110, MTH 3140, MTH 3210, MTH 3650, all with grades of "C" or better, senior standing, or permission of instructor

In this course, students will learn about the history of mathematics through the discussion of mathematical problems from ancient to modern times and the people who formulated or solved them. (Senior Experience)

MTH 4660-3 Topology (3 + 0)

Prerequisite: MTH 3100 or permission of instructor

This course will include topological spaces, functions, mappings and homeomorphisms, continuity, compactness, and metric spaces.

Mathematics Teaching and Learning

MTL 3620-4 Mathematics of the Secondary Curriculum (4 + 0)

Prerequisites: MTH 3100 and at least 12 additional hours of upper division mathematics, all with grades of "C" or better, or permission of instructor

This course, to be taken in the semester immediately prior to MTL 3630, uses standards-based curriculum materials as the focus for : (1) exploration of the central ideas of the mathematics curriculum in grades 7 through 12 and the connections among them, and (2) making explicit the connections between content covered in the mathematics courses required for the major and content taught in the school mathematics classrooms.

MTL 3630-3 Teaching Secondary Mathematics (3 + 0)

Prerequisite: MTL 3620 or permission of instructor

Corequisites: MTL 3638, EDS 3210 and EDS 3222 or permission of instructor

This course examines teaching practice that supports conceptual understanding of mathematical ideas for all students in diverse classrooms. Prospective teachers who enroll in this course will analyze cases of teaching with particular attention to: planning for instruction; selecting and adapting curriculum materials; establishing classroom norms and expectations; fostering mathematical discourse; and assessing students' developing mathematical understanding. This course must be taken along with MTL 3638, EDS 3210 and EDS 3222 in the semester immediately prior to MTL 4698, Secondary Mathematics Student Teaching, and EDS 4290. At the end of this course, students will have the intermediate to advanced skills in the selection, operation, and classroom use of technologies including graphing calculators, computers, and the internet.

MTL 3638-2 Secondary Mathematics Field Experience (1 + 2)

Prerequisite: MTL 3620 or permission of instructor

Corequisites: MTL 3630, EDS 3210 and EDS 3222

Prospective teachers enrolled in this course and EDS 3222 will spend at least 60 hours with a mentor teacher in a secondary mathematics classroom. During this time, prospective teachers will apply the mathematical knowledge base developed in the mathematics major and in MTL 3620, and the framework for teaching developed in MTL 3630, to the problems of practice that arise in one classroom of diverse learners. Through a series of assignments, prospective teachers will make and test conjectures about specific aspects of teaching practice.

MTL 4698-4 Secondary Mathematics Student Teaching (1 + 7.5)

Prerequisites: completion of all mathematics coursework and all teacher education coursework required for licensure; department approval of all GPA requirements; completion of Application for Student Teaching

Corequisite: EDS 4290

This course, in conjunction with EDS 4290, is a 13-week field experience with a skilled mathematics mentor teacher, supervised by an "MTL mentor," the official college supervisor, in an accredited secondary school. Prospective teachers who enroll in this course will, with the close and continual support of the mentor teacher, take on increasing responsibility for, and learn from, all aspects of the work of a full-time mathematics teacher. Prospective teachers and their mentors will participate in regular seminars conducted by the MTL mentor and other members of the Department of Mathematical and Computer Sciences.