Mathematics

Department of Mathematics

The Department prepares its students for advanced study and research as well as for careers in business, industry, government, and teaching. Students are encouraged to seek the advice of their faculty advisor in the selection of a concentration and elective courses that will best prepare them for their career choices.

Mathematics is the language of science and also plays a key role in many of the social sciences. An understanding of mathematics provides a powerful approach to solving problems through organization, simplification, and abstraction. In today's job market, individuals with highly developed analytical and problem-solving skills are in great demand. Therefore, there are numerous career options for students who choose to major in mathematics.

The Mathematics Department offers two majors. One is a Mathematics Major with three possible concentrations: Traditional, Secondary Education, and Statistics and Modeling. The other is Mathematics for Elementary Education: 1-6 which also requires a student to complete the Elementary Education Major.

Computer software is used in many courses. These programs include Maple, Geogebra, Sage, SPSS, Matlab, Geometer's Sketchpad, and DPGraph.

Mathematics Placement

All new students must take the Accuplacer Arithmetic test followed by the Accuplacer Elementary Algebra test. Students who score well on these two basic tests will take an Algebra II/Pre-Calculus test called the College Level Math test. To take a mathematics course at Worcester State University, a student must complete the placement test process prior to registration. Results will be used to determine appropriate course placement.

Faculty

Tim Antonelli, Assistant Professor (2015), B.S.E. Duke University; Ph.D. North Carolina State University

Noah Daleo, Assistant Professor (2015), B.S. Kennesaw State University; Ph.D. North Carolina State University

Mary S. Fowler, Professor (2004), B.A. New York University; M.S.,Ph.D. Carnegie Mellon University

Maria G. Fung, Associate Professor (2008), B.A. Clark University; M.S.,Ph.D. Cornell University

Elizabeth Gilbert, Assistant Professor (2016), B.S.,M.S. Villanova University; Ph.D. Temple University

Hy Ginsberg, Associate Professor (2011), B.S. State University of New York Stony Brook; M.S.,Ph.D. University of Vermont

Nargess Hakim, Instructor (2017), A.S., Elm & Sanat, Tehran, Iran; B.S., Ministrry of Education, Tehran, Iran; M.A., Worcester Polytechnic Institute

Jason A. Hardin, Assistant Professor (2014), B.A. University of Cincinnati; M.S.,Ph.D. University of Nebraska Lincoln

Caitlin Krul, Assistant Professor (2016), B.S. Salem State College; M.S.,Ph.D. University of Rhode Island

Eileen B. Perez, Developmental Mathematics Program Director, Assistant Professor (2013), B.S., M.S. Union College; Ed.D. Nova Southeastern University

Hansun T. To, Professor (2004), B.A. Rosemont College; M.A.,Ph.D. Temple University

Michael Winders, Department Chair, Professor (2004), B.S.,M.S.,Ph.D. University of Iowa

 

MA-098 Arithmetic Developmental Math

Prerequisites: Pass accuplacer with a code of 1 or above.

Whole numbers, fractions, decimals, percents, rates, ratios, proportions, word problems, graphs, tables, signed numbers, variables and expressions.

Every year. 3 Credits

MA-099 Developmental Mathematics

Prerequisites: Pass Accuplacer with a code 2 or above

A review of arithmetic and elementary algebra preliminary to MA110. Three developmental credits, not counted toward degree.

Other or on demand. 3 Credits

MA-105 Survey of Mathematics

LASC Categories: QR

Prerequisites: Pass Accuplacer with code 3 or above

Financial management, probability theory, voting methods and other topics selected to improve the quantitative literacy of students.

Fall and Spring and every year. 3 Credits

MA-130 Number and Operations for Teachers

LASC Categories: QR

Prerequisites: Pass Accuplacer with code 5 or above

Develops understanding of the mathematical content of number and operations at the deep level required for successful elementary and middle school teaching.

Fall and Spring and every year. 3 Credits

MA-131 Patterns, Functions and Algebra for Teachers

LASC Categories: QR

Prerequisites: MA-130 Minimum grade C

Develops understanding of the mathematical content of patterns, functions and alegebra at the deep level required for successful elementary and middle school teaching. Credit will not be awarded for MA-180 (formerly MA-110) and MA 131.

Fall and Spring and every year. 3 Credits

MA-132 Geometry, Measurement, Probability and Statistics for Teachers

LASC Categories: QR

Prerequisites: MA-130 with a C or above.

Develops understanding of the mathematical content of geometry, measurement, probability and statistics at the deep level required for successful elementary and middle school teaching.

Fall and Spring and every year. 3 Credits

MA-150 Statistics I

LASC Categories: QR

Prerequisites: Pass Accuplacer with code 4 or above

Descriptive techniques, elementary probability, distribution of the sample mean, confidence intervals, hypothesis testing, linear regression and correlation. Credit will not be awarded for both MA-150 and MA-302.

Fall and Spring and every year. 3 Credits

MA-180 Introduction to Functions

LASC Categories: QR

Prerequisites: Pass accuplacer with a score of 5 or above.

Properties and applications of linear, quadratic, polynomial, rational, exponential, and logarithmic functions; systems of linear equations.

Fall and Spring and every year. 3 Credits

MA-190 Pre-calculus

LASC Categories: QR

Prerequisites: MA 110 or MA-180 with a grade of at least C- or Accuplacer code 6 or above

Review of exponential and logarithmic functions; trigonometric functions, identities, and equations; systems of linear equations and ineualities; conic sections; and applications.

Every year. 4 Credits

MA-193 Special Topics in Math for First Year Students

LASC Categories: FYS

Introductory level course covering topics of special interest to first year students. Offered only as a First Year Seminar.

3 Credits

MA-200 Calculus I

LASC Categories: QR

Prerequisites: MA 190 with a grade of at least C- or Accuplacer code 7

Limits, continuity, differentiation and integration of functions, the Fundamental Theorem of Calculus, L'Hôpital's Rule, applications including related rates, optimization, and area. Credit willnot be given for both MA-200 and MA-202.

Fall and Spring and every year. 4 Credits

MA-201 Calculus II

LASC Categories: QR

Prerequisites: MA 200 with a grade of at least C-

Techniques of integration, infinite sequences and series, power series, applications including volume and functional approximation.

Fall and Spring and every year. 4 Credits

MA-202 Business Calculus

Prerequisites: MA 110 or MA-180 with a grade of at least C- or Accuplacer code 6 or above

Review of functions, limits, derivatives, integration and introduction to multivariate calculus. Business applications of these topics.

Fall and Spring and every year. 4 Credits

MA-240 Theory of Proof

Prerequisites: MA-200 minimum grade C-

Logic and Proof, Set Theory, Math Induction, Relations, Functions, Sequences and Convergence, Limits and Continuity, Congruences, Introductions to Groups.

Fall and Spring and every year. 4 Credits

MA-260 Linear Algebra

Prerequisites: MA 240 with a grade of at least C.

Solutions of simultaneous equations by means of matrices and determinants; vector spaces, linear transformations; also, as time permits, characteristic values, bilinear and quadratic forms.

Every year. 3 Credits

MA-302 Probability and Statistics

Prerequisites: MA 200 with a grade of at least C-

Descriptive statistics, probability theory including an introduction to calculus based probability theory, combinatorics, correlation, regression and inference techniques. Credit will not be awarded for both MA-150 and MA-302.

Fall and Spring and every year. 3 Credits

MA-303 Mathematical Modeling

Prerequisites: MA 201 with a grade of at least C-

The development analysis and application of continuous and discrete-time models from the physical, financial, and life sciences.

Spring only and every year. 3 Credits

MA-304 Data Analysis

Prerequisites: MA-302 CS-265 Minimum grade C-;

Case studies combining applied statistics, mathematical statistics, mathematics, computing, and communications to simulate work experience of a practicing statistician.

Other or on demand. 3 Credits

MA-310 Calculus III

Prerequisites: MA 201 with a grade of at least C-

Vectors, parametric equations, polar, cylindrical and spherical coordinates, multivariable functions, properties and applications, partial derivatives, multiple integrals.

Fall only and every year. 4 Credits

MA-320 Ordinary Differential Equations

Prerequisites: MA 310 with a grade of at least C-

Techniques for solving ordinary differential equations, including Laplace transformations and power series solutions.

Spring only and other or on demand. 3 Credits

MA-340 Modern Geometry

Prerequisites: MA 240 with a grade of at least C.

Topics from Euclidean and non-Euclidean geometry.

Fall only and every year. 3 Credits

MA-360 Number Theory

Prerequisites: MA 240 with a grade of at least C.

Divisibility properties of integers, prime numbers, the Euclidean algorithm, the unique factorization theorem, congruences, Diophantine equations, number theoretic functions.

Spring only and every year. 3 Credits

MA-380 Probability

Prerequisites: MA 310 with a grade of at least C-

couning, continuous an discrete probability concepts including: consitional probability, independence, expectation and variance of univariate and multivariate distributions. This is the first course in a two-course sequence that prepares students for the first actuarial exam.

Fall only and other or on demand. 3 Credits

MA-381 Probability Theory for Actuarial Science

Prerequisites: MA-380 with a grade of at least C-.

Probabilities, conditional probabilities, moment-generating functions, moments and expectations of specific parametric distributions including Poisson, geometric, hypergeometric, exponential, and normal. This is the second course in a two-course sequence that prepares students for the first actuarial exam.

Spring only and other or on demand. 3 Credits

MA-405 Abstract Algebra

Prerequisites: MA 240 with a grade of at least Cb- and MA 260 with a grade of at least C-.

Introduction to groups, rings, and fields.

Spring only and every year. 3 Credits

MA-408 Directed Study: Mathematics

Directed study offers students, who because of unusual circumstances may be unable to register for a course when offered, the opportunity to complete an existing course with an established syllabus under the direction and with agreement from a faculty member.

1-6 Credits

MA-410 Real Analysis

Prerequisites: MA 310 and MA-240 with a grade of at least B-

Rigorous treatment of sequences, topology of the real numbers, continuity; also, as time allows, differentiation, integration.

Fall only and every year. 3 Credits

MA-470 Capstone Experience

LASC Categories: CAP, WAC

Prerequisites: Senior standing within the major. EN-102 or EN-250

Students complete an independent mathematics research/problem-solving project, including oral presentations and a final written paper.

Fall only and every year. 3 Credits

MA-497 Selected Topics in Mathematics

Prerequisites or Corequisite: MA-240 and MA-260 (MA-260 may be taken concurrently). Pre-requisite will vary according to content.

Selection of topics of mutual interest to students and faculty.

3 Credits

MA-498 Internship: Mathematics

Working in and for an organization where ones skills can be tested in real-world situations. Students will have an opportunity to gain experience, to increase knowledge in various functional areas, and establish important contacts with an organization. [Consent of instructor.]

3 Credits

MA-499 Independent Study in Mathematics

Offers advanced students an opportunity to examine topics not normally covered in other mathematics courses. Geared to interests of both the student and the instructor.

Fall and Spring and every year. 1-6 Credits