# Department of Mathematics, Computer Science & Physics

The bachelor's degree program in mathematics is designed to give the fundamental training necessary to prepare students to do graduate work in mathematics, to become teachers in the secondary schools or to take advantage of the employment opportunities that exist in industry, business and education. Mathematics courses provide all students with some understanding of mathematics and its importance to civilization. In addition students of the sciences are given the mathematical basis essential for their disciplines.

The bachelor's degree program in computer information systems provides practical hands-on experience with programming projects, database design, and network management; experience with team-oriented projects; and the intellectual basis for understanding networks and database systems.

Courses in physics help students learn the ways of nature through study of the natural sciences. The department’s philosophy holds that an understanding of the major principles of physics leads to a better understanding of our world and a greater responsibility to it; that women should be represented equally with men in all aspects of scientific research, technology, and teaching; and that an understanding of physics assists in the confrontation of many of the environmental issues facing human civilization.

The department encourages students to pursue undergraduate research projects with a faculty member in any of the disciplines.

Any student intending to enter MA103 Introduction to Statistical Thinking, MA106 Modern Mathematical Concepts II, MA109 College Algebra, MA110 Precalculus, or MA115 Calculus I must take a departmental examination if they do not have the specified course prerequisite. Placement in these courses will be recommended on the basis of the results of this examination.

## New Jersey Teaching Credentials

The New Jersey certifications below are available for students earning the B.A. in Mathematics:

- Early Childhood Education (P–3) with Teacher of Students with Disabilities Endorsement
- Elementary Education (K–6) with Teacher of Students with Disabilities Endorsement
- Teacher of Mathematics (K–12) with Teacher of Students with Disabilities Endorsement
- Teacher of English as a Second Language (ESL) with Teacher of Students with Disabilities Endorsement

For required professional courses in education, please refer to the School of Education section of the catalog.

## Mathematics (MA)

**MA103**

**Introduction to Statistical Thinking**

**(3 Credits)**

A broad introduction to the use and misuse of statistics. Types of variables, descriptive statistics. Tabular and visual display of data. Sampling and polling. Elements of probability. Making inferences from samples. Estimation. Hypothesis testing. Use of computer software to display and analyze data.

Prerequisite(s): Placement.

**MA106**

**Modern Mathematical Concepts II**

**(3 Credits)**

Material covered will be selected from the following topics: Algebra-based problem solving, linear and quadratic equations, inequalities, variation, graphs, functions, geometry, measurement, counting methods, statistics, the relation between algebra and geometry.

Prerequisite(s): Placement.

**MA109**

**College Algebra**

**(3 Credits)**

An introduction to real-valued functions and their graphs including polynomial, rational, exponential and logarithmic functions; composite and inverse functions; theory of equations; systems of equations and inequalities. A student who has passed MA115 with a grade of C or better may not subsequently receive credit for MA109.

Prerequisite(s): Placement.

**MA110**

**Precalculus**

**(3 Credits)**

Plane and analytic geometry—lines, translation of axes; functions and graphs (with and without graphing calculators), translation of graphs, analytic trigonometry, exponential functions, inverse functions (including inverse trigonometric functions and logarithmic functions), absolute value inequalities. A student who has passed MA115 with a grade of C or better may not subsequently receive credit for MA110.

Prerequisite(s): MA109 or placement.

**MA115**

**Calculus I**

**(4 Credits)**

Limits and their properties, continuity, derivatives and their applications, integrals, Fundamental Theorem. These will be applied to algebraic, trigonometric, exponential, and logarithmic functions. 5 hours lecture.

**MA116**

**Calculus II**

**(4 Credits)**

Applications of the definite integral, techniques of integration, infinite sequences and series, tests for convergence, Taylor’s Theorem, power series. 5 hours lecture.

Prerequisite(s): MA115 with a grade of C or better.

**MA209**

**Linear Algebra**

**(3 Credits)**

Vectors, matrices, linear equations, real vector spaces, determinants, linear transformations and matrix representations, Euclidean spaces, eigenvalues and eigenvectors.

**MA210**

**Discrete Mathematics**

**(3 Credits)**

Set theory, mathematical logic, logic networks, mathematical induction; relations and functions; combinatorial analysis; graph theory.

**MA215**

**Calculus III**

**(4 Credits)**

Polar coordinates, vectors and vector-valued functions, surfaces in space, functions of several variables, partial derivatives, gradients, multiple integrals. 5 hours lecture.

Prerequisite(s): MA116 with a grade of C or better.

**MA216**

**Vector Calculus**

**(3 Credits)**

Analytic geometry in three dimensions, spherical and cylindrical coordinate systems, vector fields, implicit functions, line and surface integrals, Green’s Theorem, divergence theorem, Stokes' Theorem.

Prerequisite(s): MA215 with a grade of C or better.

**MA218**

**Differential Equations**

**(3 Credits)**

Differential equations of the first order; linear differential equations of higher order; applications to the physical sciences. Systems of linear differential equations, series solutions; the Laplace transform.

Prerequisite(s): MA116 with a grade of C or better.

**MA304**

**Topics in Mathematics**

**(1 Credits)**

A specific topic not offered as a formal course during the given semester.

Prerequisite(s): approval of instructor.

**MA311**

**Introduction to Abstract Algebra I**

**(3 Credits)**

An introduction to basic algebraic structures; mappings and operations, permutations, properties of groups, equivalence, congruence, divisibility, direct products and isomorphisms. 4 hours lecture.

**MA312**

**Introduction to Abstract Algebra II**

**(3 Credits)**

More algebraic structures; rings, integral domains, fields, polynomials over a field, quotient groups and rings and homomorphisms. 4 hours lecture.

Prerequisite(s): MA311 with a grade of C or better.

**MA321**

**Foundations of Geometry**

**(3 Credits)**

An axiomatic treatment and critique of Euclidean geometry. Hilbert’s axioms of connection, order, parallels, congruence and continuity. Extension of Euclidean geometry to affine and projective geometry.

**MA331**

**Probability & Statistics I**

**(3 Credits)**

Basic probability theory in both discrete and continuous sample spaces, random variables and their distribution functions, expectation and variance, covariance and correlation, and the central limit theorem.

**MA400**

**Math for Secondary School Teachers**

**(3 Credits)**

A capstone course for future secondary school teachers designed to strengthen understanding of secondary school content in the context of the college mathematics curriculum. Emphasis on alternate methods of problem solving, unifying mathematical themes, the historical context of the development of mathematical ideas, the use of technology in teaching mathematics, correct mathematical communication, and methods of making study of mathematics relevant, dynamic and enriching.

**MA401**

**Introduction to Analysis**

**(3 Credits)**

Real number axioms, sequences, completeness, compactness, continuity, uniform continuity, the derivative, the Riemann integral and sequences of functions. 4 hours lecture.

**MA414**

**Research Problem in Mathematics**

**(1 Credits)**

Students specializing in mathematics may prepare a research paper with the consent of the department. This may be an historical approach to a known problem, or an original approach to a problem arising from course work. Offered on application.

**MA415**

**Internship/Externship Program**

**(1 Credits)**

Students have the opportunity to work in an industrial or advanced academic research atmosphere. Credit will be determined by the length of the experience, with a minimum of 40 hours per credit.

Prerequisite(s): MA215 and junior or senior status.

## Computer Science (CS)

**CS105**

**Computer Literacy**

**(3 Credits)**

An introduction to computers and computer applications intended for non-Computer Science majors. Explore computer concepts and terminology, computer hardware and software, operating systems, the Internet, the Web, computer ethics, and security and privacy. Includes hands-on experience with Microsoft Office 2007 word processing (Word), spreadsheet (Excel), database (Access), presentation graphics (PowerPoint) and communication programs.

**CS111**

**Foundations Of Computer Science**

**(3 Credits)**

A survey of fundamental concepts in computer science. Covers a wide variety of topics including algorithms, automata, language translation, digital logic, machine organization, networking basics and introductory software engineering. This course will be ideal for anyone who wants a broad overview of what computer science is about. Many advanced topics will be introduced from an elementary perspective.

**CS123**

**Computer Programming I**

**(4 Credits)**

An introductory course using the computer language C++. Includes general computer concepts, C++ statements, selection structures, looping, functions, arrays, pointers and classes. Students will design and code programs to run on the campus computer network.

**CS126**

**Computer Programming II**

**(3 Credits)**

Continues the introduction to programming begun in CS123 with an emphasis on object-oriented design principles and programming language features that support object orientation. C++ or another object-oriented language will be used for projects throughout the course. Also includes coverage of tools for managing large software projects.

Prerequisite(s): CS123.

**CS225**

**Computer Architecture**

**(3 Credits)**

Digital computer systems, representation of data, CPU architecture, assembly language programming techniques, comparative machine architectures, assemblers, loaders and operating systems. Short programs to be written in assembly language will be assigned.

Prerequisite(s): CS123.

**CS227**

**Data Structures**

**(3 Credits)**

Arrays, stacks, queues, linked lists, trees, graphs, searching and sorting algorithms, hashing and recursion principles. An object-oriented programming language such as C++ will be used in writing programs illustrating the implementation of the above concepts on the computer.

**CS231**

**Introduction to Database Systems**

**(3 Credits)**

Comparison of hierarchical, network and relational data models; the three levels of database architecture; function oriented vs. data-oriented system development; conceptual data modeling-entities, attributes, specialization, relationships, cardinality, keys; the relational model and normalization; using relational algebra to answer queries; database security and system recovery.

**CS306**

**Topics in CS or CIS**

**(3 Credits)**

A specific topic not offered as a formal course during the given academic semester. Offered on application.

Prerequisite(s): approval of instructor.

**CS326**

**Survey of Networks & Telecommunications**

**(3 Credits)**

Network architectures, topologies and protocols, operation of bridges, routers and gateways, network performance analysis, privacy, security, reliability, configuration of LAN and WAN networks, communication standards, and intranet and internet.

Prerequisite(s): CS225 or instructor permission.

**CS327**

**Computer Network Administration**

**(3 Credits)**

Combines practical experience with technical understanding. Overview of TCP/IP, protocols, routing, setup, creating and administrating accounts, managing resources, printing environment, server architecture, installations, configurations, security. Hands-on experience with system administration of Windows and Linux. 2 hours lecture, 2 hours laboratory.

Prerequisite(s): CS326.

**CS414**

**Research Problem in CS or CIS**

**(1 Credits)**

This course provides students with an opportunity to participate in an independent research project under the guidance of a faculty member. This may be a historical approach to a known problem or an original approach to a problem arising from coursework. Students may register and receive 1 to 4 credits more than once; may not exceed a total of 8 credits.

**CS415**

**Internship**

**(1 Credits)**

Students have the opportunity to work in an industrial, nonprofit, or advanced academic research atmosphere. Credit will be determined by the length of the experience, with a minimum of 40 hours per credit. Course will be graded as Pass/Fail. Students may register and receive 1 to 4 credits more than once; may not exceed a total of 8 credits.

Prerequisite(s): CS227

**CS450**

**Applications Project**

**(3 Credits)**

A faculty-directed, hands-on experience for advanced CS and CIS students. The nature of each project will be determined by current student and faculty interests. Some possible projects involve relational database design, web programming, or network design. This course provides an open-ended mechanism by which students may gain practical, team-oriented experience at an advanced level prior to graduation.

Prerequisite(s): any CS course level 200 and above.

## Physics (PH)

**PH111**

**Physics in Everyday Life I**

**(4 Credits)**

An introduction to the basic laws of physics experienced in our everyday environment and in this world of technology. May be taken before or after PH112. 3 hours lecture, 3 hours laboratory.

**PH112**

**Physics in Everyday Life II**

**(4 Credits)**

An introduction to the basic laws of physics experienced in our everyday environment and in this world of technology. May be taken before or after PH111. 3 hours lecture, 3 hours laboratory.

**PH115**

**College Physics I**

**(4 Credits)**

Fundamental concepts and methods of classical physics, including Newtonian mechanics, electricity, magnetism, thermodynamics, sound and light waves, with an introduction to contemporary physics. Trig-based course. PH115 must be taken before PH116. 3 hours lecture, 3 hours laboratory.

Prerequisite(s): MA110 or math placement or permission of math chairperson.

**PH116**

**College Physics II**

**(4 Credits)**

Fundamental concepts and methods of classical physics, including Newtonian mechanics, electricity, magnetism, thermodynamics, sound and light waves, with an introduction to contemporary physics. Trig-based course. 3 hours lecture, 3 hours laboratory.

Prerequisite(s): PH116.

**PH121**

**University Physics I**

**(4 Credits)**

Fundamental concepts and methods of classical physics, including Newtonian mechanics, electricity, magnetism, thermodynamics, sound and light waves, with an introduction to contemporary physics. PH121 must be taken before PH122. 3 hours lecture, 3 hours laboratory.

Prerequisite(s): MA115.

**PH122**

**University Physics II**

**(4 Credits)**

Fundamental concepts and methods of classical physics, including Newtonian mechanics, electricity, magnetism, thermodynamics, sound and light waves, with an introduction to contemporary physics. 3 hours lecture, 3 hours laboratory.

Prerequisite(s): PH121.

**PH334**

**Astronomy & Cosmology**

**(4 Credits)**

Study of the concepts of astronomy and cosmology. Topics include evolution of our concept of the universe from Ptolemaic beliefs to modern cosmology; space exploration and the instruments through which the wonders of the universe are revealed to us. Laboratory will include outdoor/telescopic observations, weather permitting. 3 hours lecture, 3 hours laboratory.

**PH337**

**Physics of Meteorology**

**(4 Credits)**

A study of the physics of meteorology and dynamic nature of our atmosphere, the physical processes that shape weather and climate and the factors that control prediction of the weather. 3 hours lecture, 3 hours laboratory.

**PH370**

**Research Project**

**(1 Credits)**

Research project in physics with a physics faculty member. Research areas include x-ray diffraction, x-ray fluorescence spectrometry, optical properties of solids, holography and solid state (condensed matter) physics. One to four semesters, 1–4 credits per semester. Only 8 credits applied to the major. PH370, PH371 taken as a junior; PH470, PH471 taken as a senior. Open to all science majors.

**PH371**

**Research Project**

**(1 Credits)**

Research project in physics with a physics faculty member. Research areas include x-ray diffraction, x-ray fluorescence spectrometry, optical properties of solids, holography and solid state (condensed matter) physics. One to four semesters, 1–4 credits per semester. Only 8 credits applied to the major. PH370, PH371 taken as a junior; PH470, PH471 taken as a senior. Open to all science majors.

**PH448**

**Intern/Externship Program**

**(1 Credits)**

Students have the opportunity to work in an industrial or research laboratory atmosphere under the direction of a selected scientist. Credit will be determined by the length of the experience. 1 to 4 credits.

**PH470**

**Research Project**

**(1 Credits)**

Research project in physics with a physics faculty member. Research areas include x-ray diffraction, x-ray fluorescence spectrometry, optical properties of solids, holography and solid state (condensed matter) physics. One to four semesters, 1–4 credits per semester. Only 8 credits applied to the major. PH370, PH371 taken as a junior; PH470, PH471 taken as a senior. Open to all science majors.

**PH471**

**Research in Physics**

**(1 Credits)**

Research project in physics with a physics faculty member. Research areas include x-ray diffraction, x-ray fluorescence spectrometry, optical properties of solids, holography and solid state (condensed matter) physics. One to four semesters, 1-4 credits per semester. Only 8 credits applied to the major. PH370, 371 taken as a junior; PH470,471 taken as a senior. Open to all science majors.

**Beth A. Schaefer**, **Professor of Physics; Chair, Department of Mathematics, Computer Science, and Physics; Coordinator of the Physics Program**

Ph.D., M.S., Boston College

B.A., Boston University

**Robert Devlin**, **Coordinator of the Math Lounge**

M.A.T., Monmouth University

B.S., Boston College

**Eric Rosenberg**, **Assistant Professor of Applied Computing; Director of the Computer Information Systems Program**

Ph.D., Stanford University

B.A., Oberlin College

**Saroj Aryal**, **Assistant Professor of Mathematics**

Ph.D., M.S., University of Wyoming

B.S., Trinity College (CT)

**Sarita Nemani**, **Professor of Mathematics**

Ph.D., University of New Brunswick, Canada

M.Phil., Indian Institute of Technology

M.S., B.S., University of Bombay

**Anne E. Tabor-Morris**, **Professor of Physics; Director of Georgian Court University NASA Science Outreach**

Ph.D., University of Notre Dame

B.S., Lehigh University