#### MAT 100 (3 credits)

#### Elementary Algebra

Designed for students who need to develop their algebraic skills. Topics include review of arithmetic, real number concepts, linear and quadratic equations and inequalities. It carries transcript credit, but does not count in the credits applied toward graduation.

#### MAT 101 (3 credits)

#### Survey of Mathematics

Survey of modern concepts of mathematics. Topics include set theory, logic, mathematical system, systems of numeration, counting methods, probability and statistics. Fulfills the liberal arts requirement for non-math or non-science students. Prerequisite: satisfactory score on Mathematics Placement Test.

#### MAT 105 (3 credits)

#### Mathematics for Teachers I

An introduction to the fundamentals of teaching mathematics in the elementary school. Topics include: sets, functions, logic, numeration systems, number theory, properties of number systems, introduction to statistics. Open only to Education students or by permission of instructor. Students may not take both MAT 105 and MAT 101 for credit. Prerequisite: satisfactory score on the Mathematics Placement Test.

#### MAT 106 (3 credits)

#### Mathematics for Teachers II

An introduction to the fundamentals of teaching mathematics in the elementary school. Topics include: probability, statistics, geometry in 2 and 3 dimensions, measurement concepts, problem solving strategies, technology and mathematics. Open only to Education students or permission of instructor. Prerequisite: MAT 105.

#### MAT 110 (3 credits)

#### Business Mathematics

This course is designed to provide a secure foundation in the fundamentals of Business Mathematics. Topics include: interest calculations, depreciation, statistical data and graphs, algebra of polynomials, roots, radicals and exponents, relations and functions, exponential functions and their graphs. Prerequisite: Satisfactory score on the Mathematics Placement Test.

#### MAT 131 (4 credits)

#### Precalculus Mathematics

This course is an introduction to relations and functions including polynomial, rational, trigonometric, exponential and logarithmic functions and their graphs. Prerequisite: two years of high school algebra and satisfactory score on the Mathematics Placement Test.

#### MAT 204 (3 credits)

#### Introduction to Mathematical Logic

This course is an introduction to basic properties and operation of sets, functions and relations. A discussion of set cardinality, ordered sets, ordering theorems, set paradoxes, algebra of proposition and Boolean algebra. Number theory topics include: factorization, divisibility theory, congruencies, and Diophantine equations.

#### MAT 205 (3 credits)

#### Mathematics for Teacher III

A survey of concepts required of midddle school teachers. Topics inclue: Algebra, exponential and logarithmic functions, trigonometry, and discrete mathematics. Prerequisite: MAT 106.#### MAT 208 (4 credits)

#### Introductory Statistics

This course in applications of statistics and probability is designed for such areas as sociology, business, economics, medicine and psychology. Topics include descriptive statistics, data organization and graphical methods, laws of probability, rules review of probability, linear correlation and regression, binomial and normal distributions, sampling and statistical inference. Varied computer applications, using the statistical software package SPSS, are required. Not open to math or science majors. Students earning credit for this course cannot earn credit for MAT 209. Prerequisite: satisfactory score on the Mathematics Placement Test.

#### MAT 209 (4 credits)

#### Probability and Statistics

This course covers theoretical principles and methods of probability and statistical analysis useful for natural science and education majors. Includes organization and analysis of data, descriptive statistics, laws of probability, binomial and normal distribution, random sampling, statistical inference, estimation and tests of hypotheses for large samples. Computer applications, using statistical software package SPSS, are required. Students earning credit for this course cannot earn credit for MAT 208. Prerequisite: high school algebra and satisfactory score on the Math Placement Test.

#### MAT 210 (3 credits)

#### Inferential Statistics

A study of correlation and regression from applied and theoretical points of view, = bivariate normal distribution and small sample theory. Student’s t-, F, and chi square distributions, analysis of enumerative data, analysis of variance and nonparametric = methods. Varied computer applications, using the statistical software package SPSS, are required. Prerequisite: MAT 209.

#### MAT 220 (1 credits)

#### Math/Statistics Computer Lab

This lab will offer hands-on instruction in the use of computer and software to calculate, graphically display and analyze data of mathematical, statistical or scientific interest. The use of computer plotting software to visually represent mathematical equations with one or more variable functions will be emphasized through the appropriate input of computationally logical mathematical formulas.To be required of all Science majores; MAT 208 or 209 are prerequisite (or corequisite).#### MAT 225 (3 credits)

#### Business Calculus

This course reviews relations and functions, exponential functions and graphs. An introduction to limits, continuity, basic differentiation and integration with emphasis on business applications. Prerequisite: MAT 110 or satisfactory score on the Mathematics Placement Test.

#### MAT 230 (4 credits)

#### Calculus I

This course is an introduction to limits, continuity, differentiation, integration and their applications. Prerequisite: four years high school mathematics or MAT 131, or satisfactory score on the Mathematics Placement Test.

#### MAT 231 (4 credits)

#### Calculus II

This course includes applications and techniques of integration, derivatives and integrals of trigonometric, exponential and logarithmic functions. Techniques of integration. Prerequisite: MAT 230.

#### MAT 240 (3 credits)

#### Linear Algebra

This course introduces the theory of matrices with applications using systems of equations, discussion of determinants, transformations and properties of vector spaces. Prerequisite: MAT 231.

#### MAT 304 (3 credits)

#### Numerical Analysis

A study of numerical methods necessary in the computer sciences including methods for evaluating zeros of a function, solving systems of linear equations, polynomial approximations, matrix computations, rounding errors and other error types. Prerequisite: CIS 151.

#### MAT 307 (3 credits)

#### Abstract Algebra

A study of group theory, permutations and cyclic groups, factor groups, rings, fields, integral domains, ideals, polynomial rings and vector spaces.

#### MAT 308 (3 credits)

#### Modern Geometry

A study of transformations in the Euclidean plane, affine spaces and their transformations, projectives and their groups and axiomatic plane geometry.

#### MAT 316 (2 credits)

#### Introduction to Math/Stats Research

First of three courses in the student reserach sequence. An introduction to research in the computational sciences of Mathematics and Statistics. The course research in the computational sciences of mathematics and Satistics. The course will focus on literature review in a selected area of interest and development of a rational hypothesis and research proposal. Students will be introduced to research methods and procedures, be exposed to ongoing research projects and be expected to select a research mentor. Prerequisite: junior status.#### MAT 317 (2 credits)

#### Experimentation in math/Stats Research

Second of three courses in the student research sequence. Students will continue studies in a guided research project under the direction of a selected research mentor. Students will advance their research projects through weekly activities in mathematical/statistical theory and/or practice. The focus will be on designing and conducting experiments as well as evaluating an dinterpreting experimental results. prerequisites: MAT 316 and junior status.#### MAT 332 (4 credits)

#### Calculus III

A study of vectors in the plane, polar coordinates, infinite series, vectors in solid analytic geometry, functions of several variables, partial derivatives, multiple integrals and their applications. Prerequisite: MAT 231.

#### MAT 401 (3 credits)

#### Real Analysis

A study of some of the basic theorems of real analysis including sequences and series, vectors, multiple integrals, techniques of differential and integral calculus and implicit function theorems. Prerequisite: MAT 332.

#### MAT 403 (3 credits)

#### Complex Variables

This is an introduction to the theory of functions and complex variables, elementary transformations, complex differentiation and integration, Cauchy theory of integration and complex power series. Prerequisite: MAT 332.

#### MAT 407 (2 credits)

#### Data Analysis in Math/Stats Research

This third and final course in the student research sequence focuses on the interpretation and dissemination of data compiled during studies in mathematical/statistical and/or practice. Students will work to formulate conclusions and output their data in a presentable research format. The focus will be on preparation of a formal oral presentation, poster presentation or research article. prerequisites: MAT 317 and senior status.

#### MAT 415 (3 credits)

#### Mathematics Seminar

This is a program of individual reading, discussion and student presentation of oral and written papers on selected topics in mathematics. Topics include history of mathematics as well as other areas not discussed in any of the student's previous mathematics courses. Prerequisite: junior or senior standing.

#### MAT 480 (6 credits)

#### Mathematics Internship

Students must participate in 200 hours or more of Mathematical, Statistical or other computational-related activities at an off-campus site under the supervision of an internship sponsor. Intersnhips may be procured at any business, academic, government or non-profit agency willing to engage inerns in meaningful work or research activities. Prerequisites: junior status and a 2.5 GPA.

## Contact Information

### Elizabeth Gardner, Ph.D.

Science & Mathematics Department Chair

Bernardine Hall 23

610.796.8247

elizabeth.gardner@alvernia.edu