Apr 27, 2024  
2018-2019 Undergraduate Bulletin 
    
2018-2019 Undergraduate Bulletin [ARCHIVED BULLETIN]

Mathematics Courses


Mathematics

Courses

Mathematics (MATH)

  • MATH 004A - Intermediate Algebra

    Semester Hours: 2
    Periodically
    Must be taken concurrently with MATH 004B . Covers arithmetic properties of real numbers; algebra of fractions and polynomials; exponents, roots and radicals; solution of first and second degree equations and applications, functions and their graphs.

    Prerequisite(s)/Course Notes:
    No degree credit.



  • MATH 004B - Intermediate Algebra

    Semester Hours: 1
    Periodically
    Must be taken concurrently with MATH 004A . Covers arithmetic properties of real numbers; algebra of fractions and polynomials; exponents, roots and radicals; solution of first and second degree equations and applications, functions and their graphs.



  • MATH 006A - The Real Numbers and College Algebra

    Semester Hours: 0-3
    Fall, Spring
    This course covers the real numbers, real number line, basic laws and definitions of arithmetic, how these laws and definitions contribute to the theory manipulating algebraic expressions and solving algebraic equations, graphs of equations, functions, graphs of functions (linear, quadratic, polynomial, and rational), algebraic inequalities, and applications of such. There are no calculators allowed in the course. The emphasis is on developing an intuitive feel for the real numbers and the concepts involved, an understanding of the reason and rigor behind the algorithms and developing skill using algorithms. The course will be divided into the following three units: (1) the real numbers and laws of arithmetic; (2) basic algebra; and (3) intermediate algebra.

    Prerequisite(s)/Course Notes:
    Permission of mathematics chairperson required if student has received a grade of C- or better in a mathematics course with a number higher than 006 or a passing score on the Basic Algebra placement exam. Grading is mandatory Pass/Fail.



  • MATH 008 - Elementary Mathematical Statistics

    Semester Hours: 3
    Fall, Spring
    This course examines frequency distributions, averages, graphical representations of data, measures of dispersion, types of distribution, estimation, hypothesis testing, curve fitting, and correlation.

    Prerequisite(s)/Course Notes:
    Intermediate algebra with ability to use logarithms and exponents. Credit given for this course or BAN 001 , not both.



  • MATH 012F - First-Year Seminar

    Semester Hours: 3
    Fall
    This course gives first-year students the opportunity to work in a seminar format with a member of the faculty in an area of the faculty member’s research interests.

    Prerequisite(s)/Course Notes:
    The course is open to first-year students only. Topics vary by semester. Consult the class schedule for proper category listing. Students may take only one 12F or 12S seminar.



  • MATH 012S - First-Year Seminar

    Semester Hours: 1-3
    Spring
    This course gives first-year students the opportunity to work in a seminar format with a member of the faculty in an area of the faculty member’s research interests.

    Prerequisite(s)/Course Notes:
    The course is open to first-year students only. Topics vary by semester. Students may take only one 12F or 12S seminar.



  • MATH 013C - (MA) Elementary Mathematical Models Through Computers

    Semester Hours: 3
    Periodically

    Through the use of calculators and computers, students are introduced to a variety of mathematical functions and their application as models for describing events and predicting outcomes in business, the sciences and the liberal arts. Models include sequences and the linear, polynomial, rational and exponential functions. Mathematical basics are reviewed and no prior experience with computing is assumed.

    Prerequisite(s)/Course Notes:
    At least two years of high school mathematics and Math Proficiency/Placement scores as interpreted by advisement.



  • MATH 014F - First-Year Seminar

    Semester Hours: 3-4
    Fall

    This course gives first-year students the opportunity to work in a seminar format with a member of the faculty in an area of the faculty member’s research interests.

    Prerequisite(s)/Course Notes:

    The course is open to first-year students only. Topics vary by semester.  This course is offered for distribution credit; consult the Semester Planning Guide for proper category listing. Students may take only one 14F or 12F seminar and only one 14S or 12S seminar.



  • MATH 014S - First-Year Seminar

    Semester Hours: 3-4
    Spring

    This course gives first-year students the opportunity to work in a seminar format with a member of the faculty in an area of the faculty member’s research interests.

    Prerequisite(s)/Course Notes:

    The course is open to first-year students only. Topics vary by semester.  This course is offered for distribution credit; consult the Semester Planning Guide for proper category listing. Students may take only one 14F or 12F seminar and only one 14S or 12S seminar.



  • MATH 030A - (MA) Mathematical Excursions

    Semester Hours: 3
    Fall, Spring
    An exploration into several mathematical topics not covered in MATH 040 , 045 , 050 , or 061 , chosen by the instructor, to give an appreciation of what mathematics is about. Only a background in high school algebra is needed, yet the topics are covered in sufficient depth to show the power and beauty of mathematics. Possible topics include: problem solving, number theory, graph theory, voting models, fair division, symmetry, fractals, Fibonacci numbers, consumer mathematics, games and puzzles. 

    Prerequisite(s)/Course Notes:
    At least two years of high school mathematics or Math Proficiency/Placement scores as interpreted by advisement or a grade of P in MATH 006A . Credit given for this course or MATH 030B , not both.



  • MATH 030B - (MA) Explorations in Mathematics

    Semester Hours: 3
    Fall, Spring
    Designed for students majoring in areas other than mathematics or science, this course uses a problem-solving approach for exploring the development of the real number system (including the properties of a field), number theory (including modular arithmetic), and geometry. Optional topics include probability and statistics. 

    Prerequisite(s)/Course Notes:
    At least two years of high school mathematics or Math Proficiency/Placement scores as interpreted by advisement or a grade of P in MATH 006A . Credit given for this course or MATH 030A , not both.



  • MATH 040 - (MA) Linear Mathematics and Matrices

    Semester Hours: 3
    Fall, Spring
    Matrix Algebra, systems of linear equations, linear programming, Markov processes, and game theory. Applications to business and the biological and social sciences are included.

    Prerequisite(s)/Course Notes:
    At least two years of high school mathematics or Math Proficiency/Placement scores as interpreted by advisement or a grade of P in MATH 006A .



  • MATH 045 - (MA) Logic, Sets, and Probability

    Semester Hours: 3


    Fall, Spring

     Logic, sets, probability.

    Prerequisite(s)/Course Notes:
    At least two years of high school mathematics or Math Proficiency/Placement scores as interpreted by advisement or a grade of P in MATH 006A .  (Formerly Elementary Set Theory, Logic and Probability.)

     



  • MATH 050 - (MA) Precalculus

    Semester Hours: 4
    Fall, Spring
    A function-based approach to the study of algebra and trigonometry, with particular focus on the polynomial, rational, trigonometric and exponential/logarithmics functions. The concepts studied in this course are fundamental to the study of calculus and most of the mathematical applications to the sciences.

    Prerequisite(s)/Course Notes:
    A grade of Pass in MATH 006A  or Math Placement scores as interpreted by advisement. May not be taken after MATH 071  or after receiving a passing score on the Calculus Readiness Exam without prior permission of the department chairperson.



  • MATH 061 - (MA) Basic Calculus with Applications

    Semester Hours: 4
    Fall, Spring
    This is a terminal course that should not be taken by students who wish to continue in mathematics. Functions, limits, differentiation, and integration and applications to business and the biological and social sciences. Similar to MATH 061A , but with more time for review and applications. 

    Prerequisite(s)/Course Notes:
    MATH 006A  or Math Proficiency/Placement scores as interpreted by advisement. MATH 050  strongly recommended. No credit given for both this course and MATH 061A  or 071 . May not be taken after MATH 071 . Those interested in continuing on to Calculus II should not take MATH 061, and should take MATH 071 .



  • MATH 061A - (MA) Basic Calculus

    Semester Hours: 3
    Fall, Spring
    This is a terminal course that should not be taken by students who wish to continue in mathematics. Functions, limits, differentiation, and integration, with some applications.

    Prerequisite(s)/Course Notes:
    MATH 006A  or Math Proficiency/Placement scores as interpreted by advisement. MATH 050  strongly recommended. No credit given for both this course and MATH 061  or 071 . May not be taken after MATH 071 . Those interested in continuing on to Calculus II should not take MATH 061A, and should take MATH 071 .



  • MATH 070C - CAMCLE: Calculus Readiness

    Semester Hours: 1-2
    Fall, January, Spring, Summer
    The Computer-Aided Mathematics Collaborative Learning Environment (CAMCLE) course is intended only for students who withdraw from MATH 071 - (MA) Analytic Geometry and Calculus I , and who wish to augment their pre-calculus abilities before re-enrolling in MATH 071 .  The topics covered in this course are fundamental to the study of calculus. These topics include: intermediate algebra; properties of polynomial and rational functions; trigonometric functions, identities and applications; exponential and logarithmic functions and their properties; limits; rates of change; and derivatives. Students will be placed into the 1 or 2 credit version of the course based on their score on a placement examination.  Once placed, students will progress through a series of computer-guided exercises.  They will work independently, at the CAMCLE lab in collaboration with other students, with peer teachers, and will meet with a faculty member every two weeks.  Students will be awarded credit based on the amount of work prescribed and satisfactorily completed.

    Prerequisite(s)/Course Notes:
    Placement into MATH 071  and permission of CAMCLE director or Mathematics  Department chair.



  • MATH 071 - (MA) Analytic Geometry and Calculus I

    Semester Hours: 4
    Fall, Spring
    Limits, derivatives, techniques of differentiation, trigonometric functions, curve sketching, applications of the derivative, integrals, applications of the integral. Meets five hours each week. 

    Prerequisite(s)/Course Notes:
    MATH 050  or departmental placement. Credit given for this course or MATH 061  or 061A . Exceptions may be made with permission from the department chairperson. May not be taken after MATH 072 .



  • MATH 071B - Bridge to Calculus II

    Semester Hours: 1
    Fall, Spring
    For students who have taken MATH 061  or 061A  and wish to take 072 . Course covers topics dealt with in 071  but not in 061  or 061A ; some theoretical background, derivatives of trigonometric functions and further applications of the integral.

    Prerequisite(s)/Course Notes:
    MATH 061  or 061A .  May be taken concurrently with 072 .



  • MATH 071C - Computing Supplement to Calculus

    Semester Hours: 1
    Periodically
    Numerical aspects of introductory calculus are studied with the aid of computers. Topics may include a brief introduction to computers and programming, numerical differentiation and integration, locating zeros of functions, graphing functions, approximating functions and symbolic calculations by computers. No computing experience is necessary.

    Prerequisite(s)/Course Notes:
    MATH 061  or 071 .



  • MATH 072 - (MA) Analytic Geometry and Calculus II

    Semester Hours: 4
    Fall, Spring
    Exponential, logarithmic, and inverse trigonometric functions, techniques of integration, improper integrals, introduction to differential equations, parametric equations, polar coordinates, infinite sequences and series. Meets five hours each week. 

    Prerequisite(s)/Course Notes:
    MATH 071 .



  • MATH 073 - (MA) Analytic Geometry and Calculus III

    Semester Hours: 4
    Fall, Spring
    Three-dimensional analytic geometry, elementary vector analysis, partial derivatives, multiple integrals, vector fields, parametric curves and surfaces, line integrals, Green’s Theorem, introduction to surface integrals, and time permitting, theorems of Stokes and Gauss. Meets five hours each week.

    Prerequisite(s)/Course Notes:
    MATH 072 .



  • MATH 073A - Analytic Geometry in Two- and Three-Space

    Semester Hours: 1
    Periodically
    Concepts from analytic geometry in two- and three-space including points as vectors and vector arithmetic, planar and quadratic surfaces, and parameterized curves. This course is intended for students who want to take MATH 135A  but do not want the full MATH 073  course. It will meet with MATH 073  for the first 3 ½ weeks of the semester. This course should not be taken by mathematics majors and is not a substitute for MATH 073 .

    Prerequisite(s)/Course Notes:
    MATH 072 , permission of Mathematics  chairperson. May not be taken on a Pass/D+/D/Fail basis. Credit given for this course or MATH 073 , not both.



  • MATH 073B - (MA) Multi-variable and Vector Calculus

    Semester Hours: 3
    Periodically
    Partial derivatives, multiple integrals, vector calculus, work integrals, line integrals, surface integrals, the Divergence Theorem, Green’s Theorem, and Stoke’s Theorem.

    Prerequisite(s)/Course Notes:
    Credit given for this course or MATH 073 , not both. This course is intended only for students who have taken MATH 073A  and then decided they want a full course in MATH 073 . It will meet with MATH 073  for the last 10 ½ weeks of the semester. Pre- or corequisites: MATH 073A  and permission of department chairperson. May not be taken on a Pass/D+/D/Fail basis.



  • MATH 095 - Financial Mathematics

    Semester Hours: 3
    Fall

    An examination of the mathematics relevant to such financial matters as interest rate measurement and time value of money, valuation of annuities, loan repayment, bond valuation, rate of return of an investment, term structure of interest rates, cash-flow duration and immunization, and the dividend discount model of stock valuation. This course, along with MATH 157 , will be especially useful for students planning to take the Society of Actuaries’ Exam FM and Casualty Actuarial Society’s Exam 2. 

    Prerequisite(s)/Course Notes:
    MATH 072 . May not be taken on a Pass/D+/D/Fail basis.



  • MATH 100 - Communicating Mathematics

    Semester Hours: 1
    Fall

    For mathematics majors, to be taken in the fall of their senior year. Students practice giving oral presentations on mathematical topics chosen in consultation with the instructor. 

    Prerequisite(s)/Course Notes:
    Corequisites: MATH 145  and 171 , to be taken in senior year.



  • MATH 101 - (MA) Logic in Mathematics

    Semester Hours: 2
    Periodically
    Basic logical processes in mathematical practice; informal analysis of mathematical language and its abuses; nature of proof, proof procedures and problem-solving.

    Prerequisite(s)/Course Notes:
    MATH 072 .



  • MATH 103 - (MA) Applications of Probability to Actuarial Problems

    Semester Hours: 1
    Spring
    Preparation for Exam P on probability given by the Society of Actuaries.

    Prerequisite(s)/Course Notes:
    Corequisite: MATH 138 .



  • MATH 107 - (MA) Mathematical Problem Solving

    Semester Hours: 1
    Fall

    Techniques and principles for solving mathematical problems.

    Prerequisite(s)/Course Notes:
    Prerequisite or corequisite: MATH 073  or 114 . Open only to students with a 3.4 overall GPA and a mathematics GPA of 3.5 or better, or permission from the instructor. May be taken more than once for credit.



  • MATH 114 - (MA) Introduction to Higher Mathematics

    Semester Hours: 3
    Fall, Spring
    An introduction to advanced mathematics through the study of proof techniques using topics in mathematics such as logic, set theory, number theory and graph theory.

    Prerequisite(s)/Course Notes:
    MATH 072 . It is recommended that math majors take this course concurrently with MATH 073 .



  • MATH 117 - (MA) Statistics for Economics

    Semester Hours: 3
    Periodically
    Probability distributions of discrete and continuous type, sampling distributions, data analysis, descriptive and inferential statistics, estimation, hypothesis testing, simple linear regression with applications to business and economics.

    Prerequisite(s)/Course Notes:
    MATH 071 ; corequisite: MATH 072 . This course may not be taken by mathematics majors, and may not be taken after MATH 137  or 138 .



  • MATH 119 - (MA) Mathematics of Computer Graphics

    Semester Hours: 3
    Periodically
    Mathematical techniques for computer graphics studied in terms of the underlying mathematical principles. Includes two and three-dimensional geometry, projections, perspective, curvilinear projections, fractals, irregular surfaces.

    Prerequisite(s)/Course Notes:
    MATH 073  and CSC 015  or permission.



  • MATH 121 - (MA) An Introduction to Dynamical Systems

    Semester Hours: 3
    Periodically
    A study of one dimensional discrete dynamical systems and the quadratic family on the real line and in the complex plane using abstract mathematical techniques and computer experimental methods. Topics include: topological conjugacy, Sarkovskii’s Theorem, graphical analysis of orbits, bifurcation theory, chaos symbolic dynamics, fractals, Julia and Mandelbrot sets.

    Prerequisite(s)/Course Notes:
    MATH 073 .



  • MATH 131 - (MA) Elementary Differential Equations

    Semester Hours: 3
    Fall, Spring
    Methods for the solution of elementary types of ordinary differential equations with geometrical, physical and chemical applications.

    Prerequisite(s)/Course Notes:
    MATH 072 .



  • MATH 133 - (MA) Geometry

    Semester Hours: 3
    Spring
    Foundations of Euclidean and non-Euclidean geometry. Axioms and models. Topics include triangles and circles, geometric transformations, projective and hyperbolic geometries. Use of geometry software.

    Prerequisite(s)/Course Notes:
    MATH 114 .



  • MATH 134 - (MA) Topics in Geometry

    Semester Hours: 3
    Periodically
    An in-depth study of one or more topics from Euclidean, non-Euclidean or differential geometry.

    Prerequisite(s)/Course Notes:
    MATH 114 . Note: This course can be taken without MATH 133 .



  • MATH 135A - (MA) Linear Algebra

    Semester Hours: 4
    Fall, Spring
    Systems of linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, and applications. 

    Prerequisite(s)/Course Notes:
    MATH 072.



  • MATH 136 - (MA) Theory of Numbers

    Semester Hours: 3
    Periodically

    Properties of integers, congruences, diophantine equations, algebraic number fields.

    Prerequisite(s)/Course Notes:
    MATH 114 .



  • MATH 137 - (MA) Mathematical Probability and Statistics

    Semester Hours: 3
    Fall
    The following topics are covered over two semesters in this course and MATH 138 : discrete and continuous probability distributions, characteristics of distributions, sampling theory, estimation, hypothesis testing, correlation, regression and other topics.

    Prerequisite(s)/Course Notes:
    MATH 072 . Students will not be given credit for both MATH 117  and this course without prior written permission from the department chairperson.



  • MATH 138 - (MA) Mathematical Probability and Statistics

    Semester Hours: 3
    Spring

    The following topics are covered over two semesters in MATH 137 and this course: discrete and continuous probability distributions, characteristics of distributions, sampling theory, estimation, hypothesis testing, correlation, regression and other topics.
     

    Prerequisite(s)/Course Notes:
    MATH 073  and 137 .



  • MATH 139 - (MA) Applied Statistical Methods

    Semester Hours: 3
    Fall
    Multiple-regression modeling, hypothesis testing and confidence intervals in linear regression, linear time-series models, moving average and autoregressive models, forecast errors and confidence intervals. Issues pertaining to spurious regressions, unit root tests and cointegration concepts are also introduced.

    Prerequisite(s)/Course Notes:
    MATH 071 ; and MATH 008  or 117  or 138  or equivalent. MATH 135A  is recommended.



  • MATH 141 - (MA) Graph Theory and Combinatorics

    Semester Hours: 3
    Fall
    Combinatorics, graph theory, generating functions, recurrence relations, Ramsey theory and applications.

    Prerequisite(s)/Course Notes:
    MATH 114 .



  • MATH 142 - (MA) Graph Theory and Combinatorics

    Semester Hours: 3
    Periodically
    This course is a continuation of MATH 141 .

    Prerequisite(s)/Course Notes:
    MATH 114  and 141 .



  • MATH 143 - (MA) Engineering Mathematics I

    Semester Hours: 3
    Fall, Spring
    Systems of linear equations, row operations, Gauss Jordan reduction, matrix algebra, inversion, determinants, eigenvalues and eigenvectors, Vector Calculus, Green’s Theorem, Stoke’s Theorem, Fourier Series, the solution of the heat and wave equations by Fourier Series, Bessel functions and applications.

    Prerequisite(s)/Course Notes:
    MATH 073 .



  • MATH 144 - (MA) Engineering Mathematics II

    Semester Hours: 3
    Fall, Spring
    Analytic functions, Cauchy-Reimann equations, Cauchy’s integral formula, Laurent series, theory of residue, conformal mappings, linear fractional transformations, applications to fluid flow and electric field theory, Fourier integrals, applications to the heat equation.

    Prerequisite(s)/Course Notes:
    MATH 143  or ENGG 150 .



  • MATH 145 - (MA) Abstract Algebra 1

    Semester Hours: 3
    Fall

    This is the first semester in a year-long sequence covering the theory of groups, rings and fields. Additional topics, chosen at the discretion of the instructor, may include classic problems in constructibility and the solvability of polynomial equations and the theory of other abstract algebraic structures such as semigroups, modules, lattices, and Boolean algebras. 

    Prerequisite(s)/Course Notes:
    MATH 114  and 135A . (Formerly, Higher Algebra.)



  • MATH 146 - (MA) Abstract Algebra 2

    Semester Hours: 3


    Spring

    This is the second semester in a year-long sequence covering the theory of groups, rings and fields. Additional topics, chosen at the discretion of the instructor, may include classic problems in constructibility and the solvability of polynomial equations and the theory of other abstract algebraic structures such as semigroups, modules, lattices, and Boolean algebras.

    Prerequisite(s)/Course Notes:
    MATH 114 , 135A  and 145 . (Formerly, Higher Algebra.)

     



  • MATH 147 - (MA) Numerical Methods

    Semester Hours: 3
    Periodically
    Iterative computational methods for solving numerical equations and systems using computer programs and spreadsheets. Roots of algebraic equation systems. Matrices; solutions of linear algebraic equations by matrix methods, iteration, and relaxation. Taylor’s series, finite differences, numerical integration, interpolation, and extrapolation. Solution of initial and boundary value ordinary differential equations.

    Prerequisite(s)/Course Notes:
    MATH 072  and CSC 015 , or ENGG 010  or equivalent programming experience. Same as ENGG 101  and CSC 102 .



  • MATH 151 - (MA) Special Problems in Higher Mathematics

    Semester Hours: 1-3
    Fall
    Independent and advanced nature in a field of mathematics. Topics vary from year to year.

    Prerequisite(s)/Course Notes:
    Permission of department chairperson.



  • MATH 152 - (MA) Special Problems in Higher Mathematics

    Semester Hours: 1-3
    Spring
    Independent and advanced nature in a field of mathematics. Topics vary from year to year.

    Prerequisite(s)/Course Notes:
    MATH 151  and permission of department chairperson.



  • MATH 155 - (MA) History of Mathematics

    Semester Hours: 3
    Periodically
    Development of mathematical ideas and symbolism.

    Prerequisite(s)/Course Notes:
    MATH 114 .



  • MATH 157 - Mathematics of Financial Derivatives

    Semester Hours: 3
    Periodically
    In this course students develop the mathematical background for, and demonstrate a rigorous derivation of, the Black-Scholes equation. We discuss in detail the assumptions leading to the partial differential equation and study its solution. We also show that pricing from the Black-Scholes equation can be recovered accurately through simulations.  Topics to be covered include the following: asset price random walks; the probabilistic interpretation of the Black-Scholes equation; American options as a free boundary problem; binomial method for American options; exotic and path-dependent options; interest rate models; yield curve; and bond pricing. This course, along with MATH 095 , will be especially useful for students planning to take the Society of Actuaries’ Exam FM and Casualty Actuarial Society’s Exam 2

    Prerequisite(s)/Course Notes:
    MATH 137 . May not be taken on a Pass/D+/D/Fail basis.



  • MATH 158 - Stochastic Process and Brownian Motion

    Semester Hours: 3
    Periodically
    The course will cover various stochastic processes, the relation between the probability density function and the Feynman-Kac equation, and the effects of changing the probability density function through the use of the Radon-Nikodym derivative. Results will be applied to the pricing of derivatives. Topics covered by this course include the following: Sigma algebra and filtration; Martingale process; stopping times; Doob-Meyer decomposition; Markov property; Brownian motion; the Radon-Nikodym derivative; Girsanov Theorem; the stochastic integral; and the Feynman-Kac Formula.

    Prerequisite(s)/Course Notes:
    MATH 138 . May not be taken on a Pass/D+/D/Fail basis.



  • MATH 163 - (MA) Intermediate Ordinary and Partial Differential Equations

    Semester Hours: 3
    Periodically

    Simple existence and uniqueness theorems, linear equations, power series and numerical solutions, eigenvalue problems, classical equations. Boundary value problems in partial differential equations, generalized Fourier series, transform methods. Green’s functions, initial value problems.

    Prerequisite(s)/Course Notes:
    MATH 131 .



  • MATH 165 - (MA) Numerical Analysis

    Semester Hours: 3
    Periodically
    An introductory course including the following topics. Differential and difference equations as models, population growth models, linear systems and matrix models, Markov models.

    Prerequisite(s)/Course Notes:
    MATH 135A .



  • MATH 167 - (MA) Elementary Topology

    Semester Hours: 3
    Periodically
    Basic properties of sets and mappings in euclidean space such as continuity, compactness, connectedness. Metric spaces. Topological spaces and metrizability. The fundamental group functor.

    Prerequisite(s)/Course Notes:
    MATH 073  and 114 .



  • MATH 171 - (MA) Real Analysis 1

    Semester Hours: 3


    Fall

    This is the first semester of a year-long sequence introducing the basic concepts of the theory of real variables. The topics covered include an axiomatic development of the real number system, the basic topology of the reals, sequences and series of real numbers and functions, limits and continuity, differentiation, and integration. Additional topics will be covered as time permits.

    Prerequisite(s)/Course Notes:
    MATH 073  and 114 . (Formerly known as Advanced Calculus 1)



  • MATH 172 - (MA) Real Analysis 2

    Semester Hours: 3


    Spring
    This is the second semester of a year-long sequence introducing the basic concepts of the theory of real variables. The topics covered include an axiomatic development of the real number system, the basic topology of the reals, sequences and series of real numbers and functions, limits and continuity, differentiation, and integration. Additional topics will be covered as time permits.

     

    Prerequisite(s)/Course Notes:
    MATH 073 , 114  and 171 . (Formerly known as Advanced Calculus 2)



  • MATH 173 - (MA) Theory of Functions of a Complex Variable

    Semester Hours: 3
    Periodically
    Complex numbers and the geometry of the complex plane: analytic, harmonic and other functions; power series, analytic continuation; mappings and applications.

    Prerequisite(s)/Course Notes:
    Prerequisite or corequisites: MATH 073  and 114 .



  • MATH 180 - Research Experience in Mathematics

    Semester Hours: 1-3
    Periodically

    Research conducted under the supervision of a faculty member. Grade is based on contribution toward the research project and oral and written presentation of results. This course is not intended to lead to departmental honors.

    Prerequisite(s)/Course Notes:
    Permission of the department chairperson. 



  • MATH 185 - (MA) Mathematics Internship

    Semester Hours: 1-6
    Periodically
    Mathematics majors who have been offered an internship may receive credit through this course if approved by the chairperson of the mathematics department. The internship must be training for a position in which a college degree would be necessary for full-time employment and in which a major in mathematics would be considered beneficial. The number of s.h. depends on the type of work and on the number of hours worked and will be determined by the chairperson.

    Prerequisite(s)/Course Notes:
    MATH 073 , students must be mathematics majors with an overall GPA of 3.0 or better and mathematics GPA of 3.0 or better. May be repeated for credit up to 6 s.h. Generally, students can expect to receive 1 s.h. per 28 hours worked. At the end of the semester, students will write and present a paper on the role of mathematics in the internship position. Students will be expected to keep a journal on their experience and to meet with the faculty mentor assigned to the course a minimum of three times to review the journal and paper preparations. Semester hours earned count toward general degree requirements but do not satisfy mathematics major requirements. Final grades will include both on-site and academic work. An on-site evaluation of “poor” will result in a final grade no higher than “C”.



  • MATH 190 - Departmental Honors Candidacy: Essay

    Semester Hours: 3
    Fall, Spring

    Research for and the writing of a thesis in the field of mathematics. 

    Prerequisite(s)/Course Notes:
    Open only to majors in the Department of Mathematics  who are eligible according to the criteria listed in the Honors  section of this catalog, and who desire to graduate with departmental honors. Permission of the department chairperson, prior to registration, is required.



  • MATH 191 - (MA) Introduction to Set Theory

    Semester Hours: 3
    Periodically
    Naive and axiomatic set theory as a foundation for mathematics; ordinal and cardinal numbers; well-ordering and the principle of choice; glimpses of results on consistency and independence.

    Prerequisite(s)/Course Notes:
    MATH 114 .



  • MATH 198 A-Z - (MA) Special Studies in Mathematics

    Semester Hours: 3
    Periodically
    Each course covers a preannounced topic in mathematics. The topics chosen for 198 have little or no advanced mathematics course prerequisites.

    Prerequisite(s)/Course Notes:
    May be repeated for credit when topics vary. Specific titles and course descriptions for special topics courses are available in the online class schedule.



  • MATH 199 A-Z - (MA) Special Studies in Mathematics

    Semester Hours: 3
    Periodically
    Each course covers a preannounced topic in mathematics. The topics for 199 often have one or more advanced mathematics course prerequisites.

    Prerequisite(s)/Course Notes:
    May be repeated for credit when topics vary. Specific titles and course descriptions for special topics courses are available in the online class schedule.