Rockhurst University | Learning, Leadership and Service in the Jesuit Tradition

MT 0100. Algebra (3)
Fall and Spring semester
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. Prerequisites: two years of mathematics in grades 9-12 (including at least one year of algebra) and appropriate ACT math score or math placement test score.

MT 1030. Finite Mathematics (3) 
Fall and spring semester
A laboratory designed to give students “hands-on” experience with the topics covered in CS 1010. Laboratory fee. Concurrently: CS 1010.

MT 1030. Finite Mathematics (3) 
Fall and Spring semester
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. Prerequisites: at least three years of mathematics in grades 9-12 and appropriate placement test score, or MT 0100. (MTP)

MT 1040. Accelerated Finite Math (1) 
Covers the topics of MT 1030 more rapidly for those students who have studied most of them in earlier mathematics courses. See course description for MT 1030 above. Prerequisites: at least three years of mathematics in grades 9-12 and ACT Math score of 25 or higher.

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. Prerequisite: MT 0100 or HS equivalent.

MT 1190. Precalculus (4) 
Fall and Spring semester
A review of high school algebra followed by additional topics to prepare a student to study calculus including logarithms, exponential functions, trigonometry, permutations, combinations, probability, systems of linear equations, conic sections and graphs. Prerequisite: two years of high school algebra or MT 0100. (MTP)

MT 1510. Discrete Structures (4) 
Spring semester
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. Prerequisites: at least three years of mathematics in grades 9-12 and appropriate placement test scores 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. Prerequisites: 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. Prerequisites: 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 3400. Probability and Statistics I (3) 
Fall semester of even-numbered calendar year
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: MT 1810.

MT 3410. Probability and Statistics II (3) 
Spring semester of odd-numbered calendar year
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: MT 3400.

MT 3530 (CS 3530). Numerical Methods (3)
Spring semester of even-numbered calendar year
Numerical solutions to algebraic and differential equations; numerical integration; interpolating polynomials and regression analysis; simultaneous equations and solutions to partial differential equations. Prerequisites: MT 1810.

MT 3700. Differential Equations (3)
Spring semester
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: MT 1810.

MT 3710. Applied Analysis (3) 
Spring semester of odd-numbered calendar year
Determinants and matrices, introduction to functions of a complex variable, Fourier series and integrals, vector analysis, introduction to partial differential equations with applications and calculus of variations. Prerequisite: MT 3700 or instructor approval.

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)
Fall 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 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: MT 3800.

MT 4550. 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. Prerequisites: A grade of C or better in MT 3800 or instructor approval.

MT 4800. Modern Geometry (3) 
Spring semester of odd-numbered calendar year
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 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. Prerequisites: MT 3800 and MT 3810.

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. Prerequisites: 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. Prerequisites: MT 2800 and MT 3800.

MT 4960 (PH 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.