#### 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.

#### 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.

#### Algebra II

This course is designed to prepare science or mathematics major for pre-calculus. Topics include algebra of polynomials, roots, radicals and exponents, relations and functions and their graphs, systems of equations and logarithms. Prerequisite: MAT 100 or satisfactory score on Mathematics Placement test.

#### 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.

#### 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.

#### MAT 110    (3 credits)

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.

#### Pre-calculus 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.

#### 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.

#### Mathematics for Teacher III

A survey of concepts required of middle school teachers. Topics include: Algebra, exponential and logarithmic functions, trigonometry, and discrete mathematics. Prerequisite: MAT 106.

#### 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.

#### 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.

#### 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.

#### 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 majors; MAT 208 or 209 are prerequisite (or co-requisite).

#### MAT 225     (3 credits)

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.

#### Calculus I

This course is an introduction to limits, continuity, differentiation, integration and their applications. Prerequisite: MAT 131 with grade of C or better, or satisfactory score on the Mathematics Placement Test.

#### 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.

#### 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.

#### 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.

#### Abstract Algebra

A study of group theory, permutations and cyclic groups, factor groups, rings, fields, integral domains, ideals, polynomial rings and vector spaces. Prerequisite: MAT 204.

#### Modern Geometry

A study of transformations in the Euclidean plane, affine spaces and their transformations, projectives and their groups and axiomatic plane geometry. Prerequisite: MAT 204.

#### Differential Equations

Solutions and applications of ordinary differential equations, including homogeneous, exact, and linear differential equations with emphasis on Laplace transforms, infinite series, and expansion of functions in series. Prerequisite: MAT 230.

#### 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.

#### 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.

#### 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.

#### 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.

### Contact Information

Rosemarie C. Chinni, Ph.D.

Science & Mathematics Department Chair and Director of the Forensic Science Program

Bernardine Hall 234

610-568-1492

rosemarie.chinni@alvernia.edu

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Mathematics