2017-2018 Undergraduate Catalog 
    
    Apr 27, 2024  
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2017-2018 Undergraduate Catalog [ARCHIVED CATALOG]

Course Descriptions

Course descriptions are arranged alphabetically by the course prefix codes as listed below. For the purpose of brevity, course descriptions do not follow traditional rules of grammar and may consist of sentence fragments. 
 

Mathematics
  

  • MATH 1103 - Fundamental Mathematics

    Prerequisite: none. Required at the inception of the program of study by all students who do not show sufficient competency with fundamental arithmetic and algebra, as determined by placement examination. Topics include: arithmetic operations; algebraic expressions; linear equations in two variables; exponents and polynomials; Cartesian coordinates; equation of a straight line; and simultaneous linear equations. Students who take MATH 1103 will have the total number of credits required for graduation increased by 3 credits. 3 credits
  

  • MATH 1104 - Quantitative Reasoning

    Prerequisite: placement into MATH 1104 or higher or completion of MATH 1103  or equivalent with a grade of C or higher.
    Topics include: sets; logic; elementary functions; number systems; functions and graphs; enumeration; and elementary probability. Students in programs that require MATH 1110 , MATH 1115 , or MATH 1117  must take MATH 1108 . 3 credits
  

  • MATH 1108 - College Mathematics

    Prerequisite: Placement into MATH 1108 or completion of MATH 1103  or MATH 1104  with a grade of C or higher. Topics include: algebraic expressions and equations; functions and graphs; linear inequalities; polynomials and rational functions; an introduction to exponential and logarithmic functions; systems of two linear equations; and basic elements of probability. 3 credits
  

  • MATH 1110 - College Algebra

    Prerequisite: A grade of C (not C-) or higher in MATH 1103   or placement by the department.   A review of the fundamental operations and an extensive study of functions, exponents, radicals, linear and quadratic equations. Additional topics include ratio, proportion, variation, progression and the binomial theorem. This course is intended primarily for students whose program of study requires calculus or business math.  3 credits
  

  • MATH 1112 - Business Calculus

    Prerequisite: MATH 1108  or successful completion of qualifying placement test by the mathematics department. This course is designed to improve the quantitative reasoning skills of business students.  It focuses on fundamentals of derivation and integration with an emphasis on modeling and problem-solving within the context of business decision making. Topics include an introduction to the differential and integral calculus of elementary functions encountered in business mathematics, including polynomial, rational, exponential, logarithmic, and composite functions, along with the development of problem solving techniques, such as graphing, limits, rates of change, optimization, marginal analysis, and growth and decay models that are essential in business or financial mathematics. 3 credits
  

  • MATH 1115 - Pre-Calculus

    Prerequisite: placement into MATH 1115, or completion of MATH 1110  with a grade of C or higher. Topics include: polynomials; algebraic functions; plane analytic trigonometry; and properties of exponential, logarithmic, and trigonometric functions. This course offers the foundation needed for the study of calculus. 3 credits
  

  • MATH 1117 - Calculus I

    Prerequisite: a grade of C (not C-) or higher in MATH 1115 , or placement by the department. The first year college course for majors in mathematics, science and engineering; and the basic prerequisite for all advanced mathematics. Introduces differential and integral calculus for functions of one variable, including algebraic and transcendental functions and culminates in the fundamental theorem of calculus. Includes basic rules and properties of limits and derivatives and applications of derivatives. Studies the plane analytic geometry needed for calculus. 4 credits
  

  • MATH 1118 - Calculus II

    Prerequisite: a grade of C (not C-) or higher in MATH 1117 . Continuation of first year calculus, including the fundamental theorem of calculus, methods of integration, applications of the integral, improper integrals, infinite series, and introduction to differential equations. 4 credits
  

  • MATH 1121 - Foundations of Mathematics

    Prerequisite: placement in MATH 1121 or completion of MATH 1117  with a grade of C or higher. Set theory, logic, counting and the pigeonhole principle, mathematical induction and the well ordering principle, different methods of proofs (including direct and indirect proof, proof by contrapositive and contradiction, and mathematical induction), relations and equivalence relations, functions (injective, surjective, bijective, composition and inverse), infinite sets and cardinality, and the Cantor-Bernstein-Schroeder theorem. 4 credits
  

  • MATH 1166 - Discrete Mathematics for Computing

    Prerequisite: MATH 1110 . Prerequisite: CSCI 1110 . A foundation course for computer science majors. Introduction to fundamentals, including logic, sequences, sets, functions, recursion, induction, proof methods, counting techniques, and Big-O notation. 3 credits
  

  • MATH 2203 - Calculus III

    Prerequisite: a grade of C (not C-) or higher in MATH 1118 . The calculus of multiple variables, covering three dimensional topics in analysis, linear algebra, and vector analysis, partial differentiation, maxima and minima for functions of several variables, line integrals, multiple integrals, spherical and cylindrical polar coordinates. 4 credits
  

  • MATH 2204 - Differential Equations

    Prerequisite: MATH 2203  The solution of ordinary differential equations, including the use of Laplace transforms. Existence of solutions, series solutions, matrix methods, nonlinear equations and varied applications. 3 credits
  

  • MATH 2205 - Differential Equations and Linear Algebra

    Prerequisite:  A grade of C (not C-) or higher in MATH 1118  or placement by the department.  (Note: a student taking MATH 2205 is not eligible to take MATH 2204)
      Matrices and systems of linear equations, determinants and Cramer's rule, eigenvalues and eigenvectors.  First and higher order differential equations, systems of linear differential equations, Laplace transform and its application to the solution of differential equations. 4 credits
  

  • MATH 2211 - Essentials of Pedagogy of Mathematics

    Prerequisite: MATH 1117  . Topics for this course include techniques for teaching and tutoring mathematics and for presenting mathematical ideas in a seminar or other public setting. This course will include time spent shadowing mathematics tutors and is required for all undergraduates interested in working in the MathZone. 1 credit.
  

  • MATH 2212 - Software Tools for Mathematics

    Prerequisite: MATH 1118 . This course will focus on technological tools, both for exploring mathematical topics and disseminating findings. Topics include techniques for working with some of the software packages unique to the discipline of mathematics, e.g., Matlab, Maple, Mathematica, Python, and Sage. 1 credit
  

  • MATH 2213 - Software Tools for Data Analysis

    Prerequisites: MATH 2204  and MATH 3311  , or MATH 2205  . Topics include techniques for working with numerical data using analytical and computational tools, e.g., signal processing and post-processing data, numerical and functional approximation for data analysis, and statistical methods. 1 credit.
  

  • MATH 2227 - Mathematics for Elementary Ed Teachers

    Prerequisite: MATH 1110  or placement by the department (not open to Math majors) From the point of view of a teacher, this is a review of the mathematics topics covered in elementary school and it covers the mathematical underpinnings of such topics as whole numbers, fractions, number theory, geometry, and measurement. Problem solving will be an underlying theme to the course. Not open to math majors. 3 credits
  

  • MATH 2228 - Elementary Statistics

    Prerequisite: MATH 1104  or higher, or placement into MATH 1110 or higher, or permission of the department. Topics include: basic probability theory; random variables and their distributions; estimation and hypothesis testing; regression; and correlation. This course is not calculus-based, and places an emphasis on an applied approach to statistical theory with applications chosen from the biological sciences and other fields of study. Students will be introduced to and make use of a computer package for data analysis. 4 credits
  

  • MATH 3301 - Modern Geometry and Interactive Geometry Software

    Prerequisite: MATH 1117  Corequisite:   or permission by the department. A modern approach to Euclidean and non-Euclidean geometries with emphasis on axiomatics and proofs; basic results on triangles, quadrilaterals, circles; constructions; coordinate and vector viewpoints. Extensive integration of interactive geometric software. (Intended for students preparing to teach mathematics in grades 7-12.) 3 credits
  

  • MATH 3303 - Advanced Calculus

    Prerequisite: MATH 2203 . To provide an introduction to topics in multivariable and vector calculus within an analytically motivated setting that develops foundational ideas in modern mathematics. The course covers basic point set topology and develops a more rigorous approach to limits, continuity, differentiation and integration leading to the differential and integral calculus of vector valued functions through Stokes' Theorem. 3 credits
  

  • MATH 3304 - Using Technology to Teach Mathematics

    Prerequisites: MATH 1117 , CSCI 2210  or MM 301, or permission of department Students will be introduced to a variety of technological tools (calculators, computer software, internet resources) useful in improving mathematics instruction. Students will investigate how technology can effectively be utilized in learning situations. Lesson plans will be developed incorporating technology. 3 credits
  

  • MATH 3305 - Introduction to Number Theory

    Prerequisites: MATH 1117 ,  MATH 1121 . This course serves as an introduction to the fundamentals of number theory. The topics covered are as follows: axioms for the natural numbers, divisibility, greatest common divisors, Euclidean algorithm, Diophantine equations, prime numbers, fundamental theorem of arithmetic, congruences and Fermat's little theorem, Euler's Phi function, Chinese remainder theorem, Pythagorean triples, mathematical induction and recursive algorithms. 3 credits
  

  • MATH 3309 - Adv Diff Equat

    Prerequisite: MATH 2204  Theoretical analysis and applications of non linear differential equations. Phase plane and space, perturbation theory and techniques, series and related methods, stability theory and techniques and relaxation phenomena. 3 credits
  

  • MATH 3310 - Introduction to Partial Differential Equations

    Prerequisite: MATH 2204  or MATH 2205  . Topics include: first and second order partial differential equations (PDE) and their solutions, method of characteristics, classification of second order equations, derivation of some classic elliptical, parabolic and hyperbolic PDEs, initial and boundary conditions, method of separation of variables, Fourier series and orthogonal systems, Sturm-Liouville eigenvalue problems, Green's function and fundamental solutions. 3 credits
  

  • MATH 3311 - Linear Algebra

    Prerequisite: MATH 2203  Matrices, systems of linear equations and their solutions, linear vector spaces, linear transformations, eigenvalues and eigenvectors. 3 credits
  

  • MATH 3321 - Modern Algebra

    Prerequisite: MATH 3305  or MATH 3311 . Groups, rings, integral domains, fields, polynomials. 3 credits
  

  • MATH 3325 - Number Theory

    Prerequisite: MATH 3305   This course will provide students with a grounding in the study of number theory. Topics include: quadratic reciprocity, Gaussian integers and Fermat's two square theorem, quadratic integers, Hurwitz integers and four square theorem, quadratic fields and their integers. 3 credits
  

  • MATH 3331 - Combinatorics

    Prerequisite: MATH 3311  or permission of the department. Problem solving using graph theory and combinatorical methods. Topics include counting methods, recurrence, generating functions, enumeration, graphs, trees, coloring problems, network flows and matchings. Special emphasis on reasoning which underlies combinatorical problem solving, algorithm development and logical structure of programs. 3 credits
  

  • MATH 3338 - Numerical Analysis

    Prerequisites: MATH 2203  and a standard programming language. Topics include: solutions of algebraic and transcendental equations by iterative methods; system of linear equations (matrix inversion, etc.); interpolation, numerical differentiation and integration; solution of ordinary differential equations. Scientific and engineering applications. 3 credits
  

  • MATH 3361 - Math Modeling

    Prerequisites: at least junior status and MATH 3311 . Problem solving through mathematical model building. Emphasis on applications of mathematics to the social, life and managerial sciences. Topics are selected from probability, graph theory, Markov processes, linear programming, optimization, game theory, simulation. 3 credits
  

  • MATH 3371 - Probability and Statistics I

    Prerequisite: MATH 2203  Axiomatic study of probability: sample spaces, combinatorical analysis, independence and dependence, random variables, distribution functions, moment generating functions, central limit theorem. 3 credits
  

  • MATH 4308 - Real Analysis

    Prerequisite: MATH 1121 ,  MATH 3303 . This course will provide students with a grounding in the study of real analysis. Topics include: sets and functions, Borel sets, Lebesgue measure, Lebesgue integral, Lᵖ spaces, Hölder's inequality, Minkowski's inequality, metric spaces, convergence in metric spaces, compact spaces, Bolzano-Weierstrass theorem, Banach spaces, Hilbert spaces, Bessel's inequality, Fourier series, Parseval's equality. 3 credits
  

  • MATH 4311 - Linear Algebra II

    Prerequisite: MATH 3311 . This course introduces students to structural components of linear algebra through the use of special matrices and relates these to several essential topics in advanced mathematics including canonical form, Hermitian and normal matrices, positive-definite, and non-negative matrices.  3 credits
  

  • MATH 4321 - Modern Algebra II

    Prerequisite: MATH 3321 . This course is a continuation of Modern Algebra I. Topics include: rings, subrings, ideals, ring homomorphisms, factor rings, polynomial rings, integral domains, fields, finite fields, unique factorization domains, principal ideal domains, and Euclidean domains. 3 credits
  

  • MATH 4403 - Techniques in Applied Mathematics

    Prerequisite: MATH 2204  Techniques in applied analysis including Fourier series; orthogonal functions such as Bessel functions, Legendre polynomials, Chebychev polynomials, Laplace and Fourier transforms; product solutions of partial differential equations and boundary value problems. 3 credits
  

  • MATH 4423 - Complex Variables

    Prerequisite: MATH 2204  For mathematics, science and engineering students. Review of elementary functions and Euler forms; holomorphic functions, Laurent series, singularities, calculus of residues, contour integration, maximum modulus theorem, bilinear and inverse transformation, conformal mapping, and analytic continuation. 3 credits
  

  • MATH 4441 - Topology

    Prerequisite: MATH 4308   or permission of department chair. Topics selected from the following: Hausdorff neighborhood relations: derived, open and closed sets; closure; topological space; bases; homeomorphisms; relative topology; product spaces; separation axioms; metric spaces; connectedness and compactness. 3 credits
  

  • MATH 4450 - Special Topics

    Selected topics in mathematics of special or current interest. 3 credits
  

  • MATH 4452 - Special Topics

    Selected topics in mathematics of special or current interest. 3 credits
  

  • MATH 4453 - Special Topics

    Selected topics in mathematics of special or current interest. 3 credits
  

  • MATH 4472 - Probability and Statistics II

    Prerequisite: MATH 3371  Elements of the theory of point estimation, maximum likelihood estimates, theory of testing hypotheses, power of a test, confidence intervals, linear regression, experimental design and analysis of variance, correlation, and nonparametric tests. 3 credits
  

  • MATH 4473 - Advanced Statistical Inference

    Prerequisite: MATH 4472  This course is designed to provide an in depth treatment of statistical inference. Topics include distribution of functions of one or several random variables, N P structure of tests of hypothesis, properties of "good" estimators and the multivariate normal distribution. 3 credits
  

  • MATH 4481 - Linear Models I

    Prerequisite: MATH 4472  This course is designed to provide a comprehensive study of linear regression. Topics include simple linear regression, inference in simple linear regression, violations of model assumptions, multiple linear regression and the Extra Sum of Squares Principle. 3 credits
  

  • MATH 4482 - Linear Models II

    Prerequisite: MATH 4481  Continuation of MATH 4481 , with an emphasis on experimental design. Topics include single factor designs, two factor designs, multiple factor designs and randomized block designs. 3 credits
  

  • MATH 4491 - Department Seminar

    A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credits
  

  • MATH 4492 - Department Seminar

    A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credits
  

  • MATH 4493 - Department Seminar

    A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credits
  

  • MATH 4494 - Department Seminar

    A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credits
  

  • MATH 4495 - Department Seminar

    A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credits
  

  • MATH 4496 - Department Seminar

    A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credits
  

  • MATH 4497 - Department Seminar

    A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credits
  

  • MATH 4498 - Department Seminar

    A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credits
  

  • MATH 4499 - Department Seminar

    A study of a mathematical topic or topics not covered in the above courses. Subject of study will be announced by the mathematics department in advance. A paper and/or seminar talk, suitable for presentation to all interested mathematics faculty, will be required. 3 credits
  

  • MATH 4521 - Special Topics

    Selected topics in mathematics of special or current interest. 3 credits
  

  • MATH 4593 - Honors Thesis: Mathematics

    Students in this course will complete their Honors Thesis in consultation with their Honors Thesis advisor. 3.00 credits
  

  • MATH 4594 - Thesis

    Prerequisite: department approval.  Students in this course will complete their department thesis in consultation with their thesis advisor. The thesis is approved by the Department of Mathematics and Physics. 3 credits
  

  • MATH 4599 - Independent Study

    Prerequisite: consent of faculty member and department chair. Opportunity for the student, under the direction of a faculty member, to explore an area of interest. This course must be initiated by the student. 1-3 credit hours. 3 credits
 

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