Mount St. Joseph University

Behavioral & Natural Sciences: Mathematics Course Descriptions

Undergraduate 2018-2019

MTH 097 Introductory and Intermediate Algebra (4)
New Course
Prerequisite(s): Placement
Operations with signed numbers, simplifying expressions; order of operations; solving linear equations and inequalities; graphing of linear equations and inequalities; solving systems of equations; polynomials; exponents; roots and radicals; factoring; solving quadratic equations.

MTH 098 Intermediate Algebra (3)
Prerequisite(s): Placement
Simplifying expressions; order of operations; solving linear equations and inequalities; graphing of linear equations and inequalities; solving systems of equations; polynomials; exponents, roots and radicals; solving quadratic equations.

MTH 099 Intermediate Algebra-CalculusTrk (3)
Prerequisite(s): Grade of "C" or better in MTH 097 or MTH 098/Equiv or placement
Rational expressions and equations; quadratic, radical, polynomial and absolute value equations; linear, nonlinear and absolute value inequalities; functions - graphs, inverses, transformations; quadratic, polynomial and rational functions.

MTH 170 A Liberal Arts View of Math (3) MA/CMA
Prerequisite(s): Grade of "C" or better in MTH 097 or MTH 098/Equiv or placement
This course is designed to enhance students' mastery of the mathematics encountered in everyday life. These skills will foster a student's ability to make good life decisions and to be a good citizen. Topics will include interpreting commonly-encountered statistics, decision-making in health and social science issues and the mathematics of chance. Financial mathematics will also be explored including personal budgeting, investing, credit and loans.

MTH 174 Statistics I (3) MA/CMA
Prerequisite(s): Grade of "C" or Better in MTH 097 or MTH 098/Equiv or Placement
Introductory level college statistics course; Topics will include data collection; graphical representation; measurements and interpretation of univariate and bivariate data; basic concepts of probability; continuous distributions; hypothesis testing.

MTH 174S Serv Lrng:Statistics I (1) EXP
Concurrent requisite(s): MTH 174
Service Learning is an opportunity to engage in service to others while making academic connections to course material. This one credit hour course requires 30 hours of meaningful community service. Students will serve a community partner accomplishing projects relevant to the academic course to which the Service Learning credit is attached. Students will also be required to engage in different forms of reflection such as journaling, group guided reflection, and a one-on-one meeting with the course instructor. Students will develop a greater understanding of social problems, a sense of responsibility to our surrounding communities, and an increased awareness of their own faith and values.

MTH 180 Math for Business (3) MA/CMA
Prerequisite(s): Grade of "C" or better in MTH 097 or MTH 098/Equiv or placement
Application of linear functions; matrices and their use in solving systems of equations; geometric and simplex method for linear programming; mathematics of finance.

MTH 185 Precalculus (3) MA/CMA
Prerequisite(s): Grade of "C" or better in MTH 099 or placement
Comprehensive study of polynomial, exponential, logarithmic and trigonometric functions along with properties, graphs and applications.

MTH 190 Concepts of Calculus (3) MA/CMA
Prerequisite(s): Grade of "C" or better in MTH 185 or placement
Functions; limits and continuity; differentiation and applications of differentiation; logarithmic and exponential functions; integration and applications of integration.

MTH 193 Calculus I (4) MA/CMA
Prerequisite(s): Grade of "C" or better in MTH 185/Equiv or placement
Differential calculus, limits, continuity, differentiation, applications of the derivative, antiderivatives, Fundamental Theorem of Calculus, definite and indefinite integrals, numerical integration.

MTH 194 Calculus II (4) MA
Prerequisite(s): Grade of "C" or better in MTH 193 or "4" or higher on AP Calc AB
Techniques of integration, applications of integration, improper integrals, sequences and series, Taylor series and polynomials, binomial series, polar coordinates, parametric equations.

MTH 220 Discrete Mathematics (3) MA
Prerequisite(s): Grade of "C" or better in MTH 190 or MTH 193
Most, if not all, of the math classes you've taken up to now have focused on computation and problem solving. This class is intended as a transition to more abstract mathematics, so the emphasis will be on theory, critical thinking and the ability to communicate mathematically. The topics covered will include but are not limited to propositional and predicate logic; methods of proof, sequences, recursion, recurrence relations, set theory, functions, relations, graphs and counting.g.

MTH 255 Introduction to Linear Algebra (3) MA
Prerequisite(s): Grade of "C" or better in MTH 193
Corequisite(s): MTH 194
Vectors, systems of linear equations, vector spaces, linear transformations, matrices, determinants, and related applications.

MTH 293 Calculus III (4) MA
Prerequisite(s): Grade of "C" or better in MTH 194 or "4" or higher on AP Calc BC
Functions of several variables, vectors, lines and planes, vector functions, 3D parametric curves, partial derivatives and applications, gradients and directional derivatives, multiple integrals, line integrals, Green's Theorem, Stokes' Theorem and Divergence Theorem .

MTH 301 Mathematical Modeling (3) MA
Prerequisite(s): INF 120
Modeling techniques to solve problems from fields such as natural sciences, social sciences, business, and engineering; applications of general problem-solving strategies and fundamental modeling techniques to support future studies or work in mathematics-dependent fields.

MTH 305 College Geometry (3) MA
Prerequisite(s): MTH 220, junior or senior level or permission of instructor
Study of geometry from different perspectives, including Euclidean and non-Euclidean geometries, and other assorted topics; use of current geometry software; survey of the history of geometry.

MTH 310 Differential Equations (3) MA
Prerequisite(s): MTH 194 or INF 120.
First and second order ordinary differential equations having constant coefficients; linear systems; non-homogeneous equations using determined coefficients; applications.

MTH 315 Number Theory (3) MA
Prerequisite(s): MTH 220
Study of relations between and among integers; including divisibility, primes, unique factorization, congruence, primitive roots, and indices; Diophantine equations and Fibonacci numbers; selected historical topics.

MTH 320 Probability/Statistics (4) MA
Prerequisite(s): Grade of "C" or better in MTH 193
Corequisite(s): MTH 194
Descriptive statistics, probability, discrete and continuous random variables, probability distributions, sampling, estimation, and combinatorics.

MTH 325 Numerical Analysis (3) MA
Prerequisite(s): MTH 255
Numerical differential and integration; measures of accuracy; sources of error and error analysis; solutions of non-linear equations by iterative processes; differential equations; functional approximation; initial value problems; applications.

MTH 361 Abstract Algebra (3) MA
Prerequisite(s): MTH 220
Abstract algebraic structures and their application; group and group isomorphism and homomorphisms; rings and fields; historical references.

MTH 361S Serv Lrng:Abstract Algebra (1) EXP
Corequisite(s): MTH 361
Service Learning is an opportunity to engage in service to others while making academic connections to course material. This one credit hour course requires 30 hours of meaningful community service. Students will serve a community partner accomplishing projects relevant to the academic course to which the Service Learning credit is attached. Students will also be required to engage in different forms of reflection such as journaling, group guided reflection, and a one-on-one meeting with the course instructor. Students will develop a greater understanding of social problems, a sense of responsibility to our surrounding communities, and an increased awareness of their own faith and values.

MTH 391 Advanced Calculus (3) MA
Prerequisite(s): MTH 220 and MTH 293
This course studies the foundations of calculus, including convergence, limits, sequences and series of real numbers and functions, continuity, differentiation, and Riemann integrals.

MTH 396 Cooperative Education Work Experience: Parallel (3) EXP
Prerequisite(s): CED 220, MTH 220
Opportunity for students to work in an area to which mathematics is applied such as computers, statistics, business, or actuarial science. Credit is awarded upon successful completion of the work experience, documentation of predetermined Learning Agreement and evaluation of work performance. Evaluation of work performed is on a pass/fail basis.

MTH 400 Senior Research (1)
Prerequisite(s): 21 hours of mathematics above MTH 193
(1 credit per semester taken in two semesters). Students work independently mentored by a faculty advisor on a topic that integrates mathematics learned in previous courses.

MTH 460 Independent Study (1-3)
Selected areas of concentration for students approved by the department chairperson.

MTH 496 Cooperative Education Work Experience: Alternating (3) EXP
Prerequisite(s): CED 220, MTH 220
Opportunity for students to work in an area to which mathematics is applied such as computers, statistics, business, or actuarial science. Credit is awarded upon successful completion of the work experience, documentation of predetermined Learning Agreement and evaluation of work performance. Evaluation of work performed is on a pass/fail basis.