Department of Mathematics, Computer Science & Physics

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. A student who has passed MA331 with a grade of C or better may not subsequently receive credit for MA103.

Prerequisite(s): an appropriate placement score, or a college math course with a grade of C or better.

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. A student who has passed an MA course numbered 115 or higher with a grade of C or better may not subsequently receive credit for MA106.

Prerequisite(s): an appropriate placement score, or a college math course with a grade of C or better.

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 an MA course numbered 115 or higher with a grade of C or better may not subsequently receive credit for MA109.

Prerequisite(s): an appropriate placement score, or a college math course with a grade of C or better.

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 an MA course numbered 115 or higher with a grade of C or better may not subsequently receive credit for MA110.

Prerequisite(s): MA109 with a grade of C or better, or placement.

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.

Prerequisite(s): MA110 with a grade of C or better; or placement into MA115.

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.

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

Prerequisite(s): MA110 with a grade of C or better; or placement into MA115 or above.

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

Prerequisite(s): MA110 with a grade of C or better; or placement into MA115 or above.

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.

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.

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.

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

Prerequisite(s): approval of instructor.

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

Prerequisite(s): Grade of C or better in MA209, MA210, and MA215.

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.

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.

Prerequisite(s): Grade of C or better in MA209 and MA210.

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.

Prerequisite(s): Grade of C or better in MA116 and MA210, or permission of department chair.

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.

Prerequisite(s): MA215, MA311, and MA312.

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

Prerequisite(s): Grade of C or better in MA209, MA210, and MA215.

The complex plane and the theory of analytic functions; mapping by elementary functions. Complex integration; series; residues and poles; conformal mapping. Offered on application.

Prerequisite(s): Grade of C or better in MA209, MA210, and MA215; or permission of instructor.

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. Students may register and receive 1 to 4 credits more than once; students may not exceed a total of 6 credits toward the major.

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.

Methods of obtaining numerical solutions to various types of mathematical problems. Numerical solutions of systems of linear and nonlinear equations; interpolation; least squares approximations; numerical differentiation and integration; introduction to numerical methods of differential equations. Programs will be assigned illustrating these methods.

Prerequisite(s): MA116 and CS123; or permission of instructor.

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.

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.

An introduction to the Python language, which is widely used for analyzing numerical data and text. This 7.5-week course will cover the concept of a computer program, variables, flow control statements, arrays, strings, dictionaries, functions, and file I/O. Python will be applied to solve problems in compound interest and word counts. Open to all majors. Course may not be used for credits required toward the CIS major.

Prerequisite(s): Placement.

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 their laptops or online.

Prerequisite(s): Placement

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): A grade of C or higher in CS123.

This course studies methods for data visualization, and methods for finding relationships in numerical data or textual data using such techniques as regression analysis, logistic analysis, clustering, and K nearest neighbors. Excel, Python, and other freely available software packages will be used to analyze a variety of business operational and strategic problems. Open to all majors. This course is cross-listed with IS312.

Prerequisite(s): CS120 or CS220

A first course in Python programming including variables and data types, flow control statements, arrays, strings, dictionaries, and list comprehensions. Python will be applied to solve problems in network modelling and machine learning. Students will also learn to display data and algorithmic results using library functions.

Prerequisite(s): A grade of C or higher in CS123.

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.

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.

Prerequisite(s): CS123 and CS126, or approval of instructor.

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.

Prerequisite(s): CS123.

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

Prerequisite(s): approval of instructor.

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.

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.

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; students may not exceed a total of 6 credits toward the major.

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

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.

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.

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.

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.

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): PH115.

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.

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.

Explore a topic in physics. Lecture and/or lab for 3 or 4 credits. Offered on application.

Prerequisite(s): Approval of instructor.

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.

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.

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.

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.

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.

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.

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.