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    Rockhurst University
   
 
  Sep 24, 2017
 
 
    
2014-2016 Undergraduate Catalog [ARCHIVED CATALOG]

Course Descriptions


 

Mathematics

  
  •  

    MT 0100 - Algebra


    (3)
    Linear equations, systems of equations, graphs, polynomials, fractional expressions and equations, quadratic equations and functions, inequalities, exponents, powers and roots. Provides the background necessary for either MT 1030  or MT 1190 .

    Recommended: two years of mathematics in grades 9-12 (including at least one year of algebra).
  
  •  

    MT 1030 - Finite Mathematics


    (3)
    A college-level math course based on a background in algebra presenting mathematical techniques to solve a variety of problems. Topics may include: linear equations and inequalities, including optimization through linear programming; mathematics of finance including compound interest; discrete probability based on counting methods, conditional probability; expected value and descriptive statistics.

    Recommended: at least three years of mathematics in grades 9-12 or MT 0100 .
    (MTP)
  
  •  

    MT 1090 - Calculus for Business


    (3)
    An introductory calculus course primarily for the business student. Introduction to derivatives and integrals with emphasis on such business applications as demand functions, cost curves, elasticity of demand and economic order quantity. Note: MT 1090 does not prepare a student to continue with additional calculus; students wishing a deeper study of calculus should pursue the regular calculus sequence beginning with MT 1800 .

    Prerequisite: MT 1030  or instructor approval.
    (MTP)
  
  •  

    MT 1140 - Mathematics for Elementary School Teachers


    (3)
    Spring semester

    A study of mathematics topics the elementary school teacher is likely to teach, with an emphasis on the problem-solving approach. Topics include structure of the real number system, sets and relations, number theory, operations involving rational and irrational numbers, introductory geometry, concepts of measurement and the metric system. Restricted to Elementary Education majors.

    Recommended: MT 0100  or HS equivalent.
  
  •  

    MT 1170 - Mathematics in the Modern World


    (3)
    A one-semester conceptual mathematics course designed to address topics in mathematics appearing in the world around us, through inquiry-based, hands-on activities and discussion. Emphasis will be on conceptual understanding and on how mathematics is applied in the real, everyday world. Students will be expected to demonstrate conceptual and applied understanding of mathematical topics through class discourse, written assessment, and the design of a project using mathematics to be included in a “Mystical Math Room.” Course projects will contribute to the development of a Mystical Math Room to be set up in October as an educational math experience for all math students and the public.

    (MTP)
  
  •  

    MT 1190 - Precalculus


    (3)
    Fall and Spring semester

    Mathematical topics preparing students to study calculus. These topics include the study of functions in a variety of representations, including tabulated data, graphs and formulas; characteristic features of a variety of function types (including linear, power, polynomial, exponential, logarithmic, trigonometric); and the course may include mathematical modeling from data and from theoretical assumptions.

    Recommended: two years of high school algebra or MT 0100 .
    (MTP)
  
  •  

    MT 1510 - Discrete Structures


    (4)
    The major topics of study include functions, relations, sets, propositional and predicate logic, proof techniques, elementary combinatorics and discrete probability concepts.

    Prerequisite: MT 1190 .
    (MTP)
  
  •  

    MT 1800 - Calculus I


    (4)
    Fall and Spring semester

    The derivative, curve sketching, maxima and minima, velocity and acceleration, trigonometric and exponential functions, integration, inverse functions and logarithms.

    Recommended: ACT Math score of 25 or higher or a grade of C or better in either MT 1190  or MT 1510 .
    (MTP)
  
  •  

    MT 1810 - Calculus II


    (4)
    Fall and Spring semester

    The integral, applications of the integral (including area, volume, center of mass, continuous probability), techniques of integration, first-order differential equations, sequences and series.

    Prerequisite: A grade of C or better in MT 1800 .
    (MTP)
  
  •  

    MT 2420 - Actuarial Science Practicum I


    (1)
    This course is aimed at students who are interested in pursuing a career in actuarial science. It is designed to give them experience and practice with the types of problems encountered on the first examination in the series of Society of Actuaries exams.

    Prerequisite: MT 3400 .
  
  •  

    MT 2430 - Actuarial Science Practicum II


    (1)
    This course is designed to give students experience and practice with the types of problems encountered on the second examination in the series of Society of Actuaries exams.

    Prerequisite: MT 3400  and MT 3410 .
  
  •  

    MT 2800 - Calculus III


    (4)
    Fall semester

    Improper integrals, analytic geometry, polar coordinates, functions of several variables, higher partial derivatives, vector operations and multiple integrals.

    Prerequisite: A grade of C or better in MT 1810 .
    (MTP)
  
  •  

    MT 3000 - Topics in Mathematics


    (1–3)
    This course engages students in an in-depth study of a specific area (or application) of higher mathematics. Topics vary each semester but may include such areas as combinatorics, coding theory, information theory, stochastic processes, graph theory, game theory, operations research, mathematical economics, mathematical biology, the history of mathematics, or mathematical programming and computer simulation.

    Prerequisite: A grade of C or better in MT 1810  or instructor approval.
  
  •  

    MT 3260 - Mathematical Modeling


    (3)
    Students will build mathematical models and use these models to answer applied questions in a variety of other disciplines. These disciplines may include engineering, physics, biology, chemistry, medicine, ecology, sustainability, economics, and finance.

    Prerequisite: A grade of C or better in MT 1800 .
  
  •  

    MT 3400 - Probability and Statistics I


    (3)
    Fall semester

    Basic probability theory, counting techniques, discrete random variables and probability distributions, probability distribution functions, cumulative distribution functions, expected value, conditional probability and independence, Tchebysheff’s theorem, statistical inference, confidence intervals, hypothesis testing, regression analysis and applications in physical and social sciences.

    Prerequisite: A grade of C or better in MT 1810 .
  
  •  

    MT 3410 - Probability and Statistics II


    (3)
    Spring semester

    Continuous random variables and probability distributions, probability density functions, cumulative distribution functions, central limit theorem, moment-generating functions, functions of random variables, sampling distributions, statistical inference, confidence intervals, hypothesis testing, regression analysis and applications in physical and social sciences.

    Prerequisite: A grade of C or better in MT 3400 .
  
  •  

    MT 3530 - Numerical Methods


    (3)
    Numerical solutions to algebraic and differential equations; numerical integration; interpolating polynomials and regression analysis; simultaneous equations and solutions to partial differential equations.

    Prerequisite: A grade of C or better in MT 1810 .
  
  •  

    MT 3550 - Number Theory


    (3)
    This course introduces the student to the study of properties of integers. The approach used involves exploration activities designed to uncover these properties as well as the validation of these properties through theorems and proofs. Topics include: divisibility properties of integers, prime numbers, congruences, and Diophantine equations.

    Prerequisite: A grade of C or better in MT 1810  or instructor approval.
  
  •  

    MT 3600 - Modern Geometry


    (3)
    The study of many different geometries rather than a single geometry. Topics include: axioms for Euclidean geometry, finite geometries, geometric transformations, convexity and non-Euclidean geometry.

    Prerequisite: A grade of C or better in MT 1810 .
  
  •  

    MT 3700 - Differential Equations


    (3)
    A dynamical systems approach to the study of solutions to differential equations. Some analytical solution techniques are covered, but emphasis is placed on qualitative, geometric and numerical techniques of finding solutions. Modeling is incorporated throughout the course.

    Prerequisite: A grade of C or better in MT 1810 .
  
  •  

    MT 3800 - Introduction to Abstract Mathematics


    (3)
    Spring semester

    A basic introduction emphasizing the development and presentation of sound mathematical arguments. Topics include logic, sets, relations, functions, and proof techniques. Little formal mathematics is needed, but intensive logical thought and an interest in the goal of the course are essential.

    Prerequisite: A grade of C or better in MT 1810  or instructor approval.
  
  •  

    MT 3810 - Linear Algebra


    (3)
    Spring semester

    Vector spaces, linear transformations, matrices, linear systems, determinants, eigenvalues and eigenvectors.

    Prerequisite: A grade of C or better in either MT 1810  or MT 1510 .
  
  •  

    MT 3990 - Introductory Research Projects


    (1)
    The student investigates a mathematical topic or question in weekly consultation with the supervising faculty member, conducts the necessary literature searches, maintains a detailed record of all of their work, makes at least one oral presentation of results and prepares a research report according to standards established by the department.

    Prerequisite: Instructor approval.
  
  •  

    MT 4000 - Advanced Topics in Mathematics


    (1–3)
    This course engages students in an in-depth study of a specific area of higher mathematics. Investigations in this course will build from the formal, theoretical foundations of the specific content area. Topics vary each semester but may include such areas as combinatorics, Galois theory, set theory, mathematical logic, graph theory, game theory, differential geometry, linear analysis, or measure theory.

    Prerequisite: A grade of C or better in MT 3800  or instructor approval.
  
  •  

    MT 4350 - Introduction to Topology


    (3)
    Topology of Euclidean spaces and metric spaces; general topological spaces. Continuous mappings and Homeomorphisms. Separation axioms, connectedness and compactness.

    Prerequisite: A grade of C or better in MT 3800 .
  
  •  

    MT 4900 - Abstract Algebra


    (3)
    Fall semester of even-numbered calendar year

    Set theory, relations, rings, integral domains, groups, fields, polynomials, unique factorization domains and vector spaces.

    Prerequisite: A grade of C or better in MT 3800 .
  
  •  

    MT 4920 - Real Analysis


    (3)
    Fall semester of odd-numbered calendar year

    Set theory, real number system, Euclidean and metric spaces. Real functions, continuity, differentiation, integration and sequences of functions.

    Prerequisite: A grade of C or better in both MT 2800  and MT 3800 .
  
  •  

    MT 4930 - Complex Analysis


    (3)
    The algebra of complex numbers. Analytic functions, integration, complex series, conformal mapping, boundary value problems and integral transforms.

    Prerequisite: A grade of C or better in MT 2800 .
  
  •  

    MT 4960 - Mathematics Seminar


    (1)
    Spring semester

    Presentations by junior and senior students on mathematical topics. Students learn presentation techniques through oral and written reports, poster presentations, and web page creation.

    Prerequisite: MT 3990  (beginning Spring 2011).