The Mathematics Department offers more than one degree track. Requirements

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1 128 UNDERGRADUATE CATALOG NEW JERSEY CITY UNIVERSITY MATHEMATICS Grossnickle Hall, Rm Dr. Richard F. Riggs, Chairperson Professors: Bennett, Guillen, Michnowicz, Riggs, Robbins Associate Professors: Camacho, Ding, Misir Assistant Professors: Caravella, Chen, Ivy, Siegel, Teclezghi The Mathematics Department is a member of the Mathematical Association of America and the National Council of Teachers of Mathematics. Faculty scholarship includes research ranging from methods for teaching mathematics to historical and analytical studies of mathematics. The Department hosts an annual mathematics conference and a lecture series. The Mathematics Department also sponsors a club for mathematics majors. The Mathematics Department offers more than one degree track. Requirements for admission, fields of employment, continued areas of education, and course requirements for each are explained below. The requirements for graduation which precede a student s major are listed on page 45 Undergraduate Requirements. Bachelor of Arts in Mathematics, p. 128 Bachelor of Arts in Mathematics Secondary Teacher Certification (Math), p. 129 Minor in Mathematics, p. 130 Bachelor of Arts in Mathematics Completion of this major prepares one for a career as a statistician, actuarial assistant, mathematics teacher, research assistant, or analyst. Continued study may include a master s degree in mathematics education, mathematics, or computer science, environmental science, business administration, or other related fields. The requirements for admission to this Course Code Course Title Credits Required MATH 260* Linear Algebra 3 MATH 295* Survey of Modern Math 3 MATH 330* Math Statistics I 3 MATH 370* Abstract Algebra I 3 And either Set A or Set B Set A: MATH 190* Calculus I 3 MATH 191* Calculus II 3 MATH 290* Calculus III 3 MATH 291* Calculus IV 3 Set B: MATH 192 Calculus & Analytical Geometry I 4 MATH 193 Calculus & Analytical Geometry II 4 MATH 292 Calculus & Analytical Geometry III 4 Restricted electives (select 12 credits of courses numbered 140 or higher from the follow ing. At least six credits of these electives must be numbered 300 or above. Undergradu ates with at least 85 credits, at least 24 credits of math through Calculus III and a CGPA of at least 3.0 may take 500 level electives with the permission of the department chair. No more than two courses numbered may be counted towards the major.) MATH 140* Statistics I 3 MATH 141* Statistics II 3 MATH 165* Pre-Calculus 3 MATH 166* Elementary Functions 3 MATH 220* Applications of Math 3 MATH 240* Readings in Mathematics 3 MATH 310* Differential Equations 3 MATH 311* Differential Equations for Engineers 4 MATH 320* Modern Geometry I 3 MATH 321* Modern Geometry II 3 degree track are a minimum cumulative grade point average (CGPA) of 2.0 and a minimum grade of C in Pre-Calculus or its equivalent. Accepted majors must maintain a minimum CGPA of 2.0 for all mathematics courses counted toward the major. No grade below a C in a core course or more than two D s in other math courses may be counted to- wards the major requirements. Majors may not backtrack for recomputation of grade for sequence courses. Course requirements for completion include the following. Course codes with an asterisk (*) have prerequisite or corequisite courses. These prerequisites and corequisites are listed with the course descriptions that follow. MATH 331* Mathematical Statistics II 3 MATH 350* Elements of Numerical Analysis 3 MATH 371* Abstract Algebra II 3 MATH 380* Real Analysis 3 MATH 410* History of Mathematics 3 MATH 430* Topology 3 MATH 440* Number Theory 3 MATH 450* Advanced Calculus I 3 MATH 451* Advanced Calculus II 3 MATH 495* Independent Study in Mathematics 1-3 MATH 501* Math Content Praxis Review 1 MATH 502* Concepts of Computer Science 3 MATH 503* Computers in Mathematics 3 MATH 508* Professionalized Subject Matter in Arithmetic 3 MATH 510* Professionalized Subject Matter in Algebra 3 MATH 511* Professionalized Subject Matter in Middle School Mathematics 3 MATH 512* Professionalized Subject Matter in MATH 514* Geometry 3 Professionalized Subject Matter in Pre-calculus Mathematics 3 MATH 515* Math Manipulatives 1 3 MATH 516* Math Manipulatives 2 3 MATH 517* Calculators in the K-8 Classroom 3 MATH 518* Calculators in the Secondary Classroom 3 MATH 526* Algorithmic Number Theory 3 MATH 527* Probability and Statistics 3 MATH 529* Selected Topics in Topology 3 MATH 531* Numerical Analysis 3 MATH 536* Mathematical Modeling 3 MATH 540* Graph Theory 3 MATH 598* Mathematical Principles of Computer Graphics 3 MATH 599* Structured Programming in C Language 3

2 MATHEMATICS 129 Bachelor of Arts in Mathematics-with Secondary Teacher Certification (Math) Completion of this major prepares one for a career as a math teacher in elementary, middle, and high schools, in which math is taught as a separate subject. Continued study may include a master s degree in mathematics education, mathematics, or computer science, environmental science, business administration, or other related fields. Admission to the education certification program requires a minimum CGPA of Eligibility for teacher certification by the New Jersey Department of Education is dependent upon completion of the curriculum requirements of a certification program, a passing score on the Praxis exam, and whatever minimum cumulative grade point average has been put into effect by the State at the time a graduate s application for certification arrives at the New Jersey Department of Education. Students who are interested in the education certification program must contact the College of Education for additional requirements necessary for admission and completion of the certification program. Information is also available to students about the State s alternate route education certification program. Course requirements for completing the major are listed below. Course codes with an asterisk (*) have prerequisite or corequisite courses. These prerequisites and corequisites are listed with the course descriptions that follow. Course Code Course Title Credits Required BIOL 103+ Human Sexual Biology 3 BIOL 104+ The Human Body 3 INTD 149+ Human and Intercultural Relations 3 INTD 180 Computer as a Tool for Science and Math 3 PSYC 152+ Adolescence to Adulthood 3 SOCI 114+ Sociology of the Family 3 +This course may be used to simultaneously satisfy a general studies area requirement-see p. 45 Undergraduate Requirements. Required MATH 140* Statistics I 3 MATH 166* Elementary Functions 3 MATH 260* Linear Algebra 3 MATH 295* Survey of Modern Math 3 MATH 320* Modern Geometry I 3 MATH 512* Professionalized Subject Matter in Geometry 3 MATH 330* Math Statistics I 3 MATH 370* Abstract Algebra 3 And either Set A or Set B Set A: MATH 190* Calculus I 3 MATH 191* Calculus II 3 MATH 290* Calculus III 3 MATH 291* Calculus IV 3 Set B: MATH 192 Calculus & Analytical Geometry I 4 MATH 193 Calculus & Analytical Geometry II 4 MATH 292 Calculus & Analytical Geometry III 4 To be taken in sequence Phase I EDU 250* The Education Challenge 3 LTED 330* Focus: Reading, Language and Literacy 3 Phase II EDU 330* Focus: Development, Behavior and Learning 3 EDU 331* Field Experience II 1 Phase III Required and offered fall semesters only LTED 370* Secondary Reading and Language Workshop 2 EDU 371* Secondary Curriculum, Methods and Materials Workshop 4 EDU 2372* Secondary Methods of Teaching Mathematics 2 Required (taken concurrently) EDU 500* Classroom Management Workshop 1 EDU 470* Concurrent Student Teaching Seminar 2 LTED 470* Concurrent Language Arts Seminar 1 EDU 480* Internship 8

3 130 UNDERGRADUATE CATALOG NEW JERSEY CITY UNIVERSITY Minor in Mathematics Students minor in mathematics by completing the following requirements. Course codes with an asterisk (*) have prerequisite or corequisite courses. These prerequisites and corequisites are listed with the course descriptions that follow. Course Code Course Title Credits MATH 190 Calculus I 3 MATH 192 Calculus and Analytic Geometry I 4 MATH 191 Calculus II 3 MATH 192 Calculus and Analytic Geometry II 4 equivalent Select 18 credits from the courses below; at least 12 of the 18 credits must be from the courses numbered 200 or higher: CS 202* Discrete Structures I 3 CS 203* Discrete Structures II 3 MATH 140* Statistics I 3 MATH 141* Statistics II 3 MATH 165* Pre-Calculus 3 MATH 166* Elementary Functions 3 MATH 220* Applications of Math 3 MATH 240* Readings in Mathematics 3 MATH 260* Linear Algebra 3 MATH 290* Calculus III 3 MATH 291* Calculus IV 3 MATH 292* Calculus & Analytic Geometry III 4 MATH 295* Survey of Modern Math 3 MATH 310* Differential Equations 3 MATH 311* Differential Equations for Engineers 4 MATH 320* Modern Geometry I 3 MATH 321* Modern Geometry II 3 MATH 330* Mathematical Statistics I 3 MATH 331* Mathematical Statistics II 3 MATH 350* Elements of Numerical Analysis 3 MATH 370* Abstract Algebra I 3 MATH 371* Abstract Algebra II 3 MATH 380* Real Analysis 3 MATH 410* History of Mathematics 3 MATH 430* Topology 3 MATH 440* Number Theory 3 MATH 450* Advanced Calculus I 3 MATH 451* Advanced Calculus II 3 Course Descriptions MATH 095 Basic College Math (3) This course develops computational skills involving operations and applications of whole numbers, integers, and rational numbers with an emphasis on use of calculators. Short introductions to the areas of algebra, geometry, statistics, and graphical interpretation are included. Selected students may have the opportunity to complete the requirements of both MATH 095 and MATH 098 in this course. This is a 3-hour, 3 non-degree credit course. MATH 097 Math Express (1) This course is designed for students who received a grade of R in MATH 095 but almost passed. Instructor recommendation is required. This course can also be taken by other students who almost passed the placement exam. Recommendation from the Testing Office and the Math Academic Foundations Coordinator is required. This is an intensive, one-week course which is usually offered in mid-august. MATH 098 Algebra for College (4) This course is an introduction to algebra which concentrates on graphic representation, problem solving, and the use and manipulation of polynomials and other algebraic expressions to model and interpret real-life situations. The central themes are the applications of linear and quadratic relationships. This is a 4-hour, 4 non-degree credit course. Prerequisite: MATH 095 Basic College Math or COMP EXAM MATH 099 Algebra Express (1) This course is designed for students who received a grade of R in Math 098 but almost passed. Instructor recommendation is required. This course can also be taken by other students who almost passed the placement exam. Recommendation from the Testing Office and the Math Academic Foundations Coordinator is required. This is an intensive, one-week course which is usually offered in mid-august. MATH 102 Fundamentals of Math I (3) Students seeking a general knowledge of mathematics should take this course. Topics included are: set theory, mathematical logic, number theory, number systems, algebra and geometry. This course may fulfill an All University Requirement. Prerequisite: MATH 098 Algebra for College in high school MATH 112 Intermediate Algebra (3) This course contains many topics usually taught in a second-year algebra course including functions and relations. It is an advanced review of algebra designed for students who desire sufficient knowledge for Pre-Calculus and Calculus. It is a useful aid for increasing one s ability to solve problems in business, nursing, education, and science. This course fulfills an All University Requirement. Prerequisite: MATH 098 Algebra for College or its equivalent in high school MATH 140 Statistics I (3) Statistics I is a study of mode, median, mean, standard deviation, various descriptive techniques, the binomial and normal distributions, and an introduction to statistical inference. Statistical concepts are applied primarily to the natural and social sciences, business administration, and criminal justice using packaged software such as Minitab. Algebra or its equivalent MATH 141 Statistics II (3) Statistics II continues the study of statistics and inference. Topics covered in this course include sampling theory, estimation, tests of hypotheses, regression, least squares, chi-square, and analysis of variance. This course may be used as an elective for any minor or major in math and may be useful to all other students in natural and social sciences, business administration, and criminal justice. Computer software

4 MATHEMATICS 131 such as Minitab or Systat is utilized where appropriate. Prerequisite: MATH 140 Statistics I or its equivalent MATH 165 Pre-Calculus (3) Selected topics from algebra, exponential and logarithmic functions, trigonometry and analytic geometry are chosen to provide a suitable background for Calculus I. Algebra or its equivalent in high school or college MATH 166 Elementary Functions (3) An introductory treatment of properties of elementary functions with emphasis on graphical analysis is presented in this course. The course also investigates the graphical meaning of the derivative and integral. Prerequisite: MATH 165 Pre-Calculus or its equivalent INTD 180 Computer Tools for Science and Math (3) This course offers an introduction to the use of such applications as Derive, Converge, Geometer s Sketchpad, Matlab, Maple, Scientific Workplace, and Microsoft Office. This course is a general studies course, and may not be counted toward Math major or minor. MATH 190 Calculus I (3) Differential calculus of polynomial and trigonometric functions is the focus of this course. The course includes topics such as limits, derivatives, and applications of differentiation. Prerequisite: MATH 165 Pre-Calculus MATH 191 Calculus II (3) This course offers a study of integral calculus, antiderivatives, definite and indefinite integrals. Logarithmic and exponential functions, hyperbolic functions and techniques of integration are also studied. Prerequisite: MATH 190 Calculus I MATH 192 Calculus and Analytic Geometry I (4) This course presents a study of differential calculus of polynomial and trigonometric functions, applications of differentiation including maximum minimum problems and Newton s Method and Rolle s Theorem. Anti-differentiation, definite, and indefinite integrals are also involved. This course is part of a 12 semester hours sequence in Calculus for Pre-Engineering students. Prerequisite: MATH 165 Pre-Calculus MATH 193 Calculus and Analytic Geometry II (4) This course deals with the applications of the definite integral including area and volume problems, surface area, and work problems. Logarithmic and Exponential Functions, Hyperbolic Functions, Techniques of Integration, L Hopital s Rule, and Infinite Series are also included. Prerequisite: MATH 192 Calculus and Analytic Geometry I MATH 205 Problem Solving (3) This course seeks to prepare elementary education majors to pass the national test required for teacher certification. It provides a thorough review of problem solving skills through Pre-Calculus for others. This course is a General Studies course and may not be counted toward the Math major or minor. Algebra MATH 220 Applications of Mathematics (3) This course includes topics in the theory of optimization. The topics include the maximization and/or minimization of univariate functions (using such methods as exhaustive search, interval search, random search, and Fibonacci search), and multivariate functions (using techniques such as the method of steepest descent). The linear programming problem is introduced and the simplex method is used for solving it. Topics are covered in the context of decision-making. MATH 240 Readings in Mathematics (3) This course investigates and expands upon topics in the undergraduate curriculum by examining the literature in current mathematical periodicals and journals as well as utilizing appropriate technology such as graphing calculators and computer software. An introduction to research and mathematical presentations, oral and written, is required of students. Classes consist of open discussions of topics from past and contemporary mathematics. MATH 260 Linear Algebra (3) Algebra of matrices and vector spaces and applications to the solution of systems of linear equations and geometric transformations are studied in this course. MATH 290 Calculus III (3) This is a continuation of Calculus II. Topics studied include improper integrals, L Hopital s Rule, infinite series, conic sections, polar coordinates, parametric equations, and introduction to vectors. MATH 291 Calculus IV (3) As a continuation of Calculus III, this course includes the study of threedimensional spaces, vectors, vector valued functions, partial derivatives, multiple integration, line integrals, and Green s Theorem. Prerequisite: MATH 290 Calculus III MATH 292 Calculus & Analytic Geometry III (4) This course (with MATH 192 and MATH 193) is part of a 12-credit sequence in calculus for pre-engineering students. Topics include polar coordinates and parametric equations, three-dimensional space, vectors, vector valued functions, partial derivatives, multiple integrals, and topics in vector calculus. Prerequisite: MATH 193 Calculus and Analytic Geometry II MATH 295 Survey of Modern Math (3) This course provides a transition to higher mathematics. Topics include elementary set theory, elementary symbolic logic, elementary number theory, equivalence relations, and functions. Emphasis is on techniques of proofs. Corequisite: MATH 191 Calculus II MATH 310 Differential Equations (3) This is the first course in differential equations, including such topics as separate variables, homogeneous equations, integrating factors, linear and higher order differential equations, and applications. Prerequisite: MATH 290 Calculus III MATH 311 Differential Equations for Engineers (4) This course is more thorough than Math 310 and is designed for pre-engineering students. Prerequisite: MATH 292 Calculus and Analytic Geometry III MATH 320 Modern Geometry I (3) This course focuses on reformulation of Euclidean Geometry from an advanced viewpoint. Distance, congruences, betweeness, separation in planes and space, geometric inequalities, and the Euclidean concept of congruence without distance are covered.

5 132 UNDERGRADUATE CATALOG NEW JERSEY CITY UNIVERSITY MATH 321 Modern Geometry II (3) The three geometries, parallel postulates and projections, area functions, perpendicular lines and planes, Saccheri quadrilaterals, inversion and reflection, hyperbolic geometry, absolute geometry, Bolyai s theorem, defects and area, and consistency of the hyperbolic postulates are studied in this course. Prerequisite: MATH 320 Modern Geometry I MATH 330 Mathematical Statistics I (3) This course is an introduction to Calculus-based mathematics of statistics. Topics include basic combinatorial methods, random variables, probability distributions and densities, expectation, and the binomial and normal distributions. Corequisite: MATH 290 Calculus III MATH 331 Mathematical Statistics II (3) An analysis of applications of probability and mathematical statistics is presented in this course. Topics include sampling distributions, point estimation, interval estimation, hypothesis testing, regression and correlation, and analysis of variance. Prerequisite: MATH 330 Mathematical Statistics I MATH 350 Elements of Numerical Analysis (3) Error analysis, finite differences, integrative methods, interpolation, and numerical differentiation and integration are the topics studied in this class. Prerequisite: MATH 290 Calculus III MATH 370 Abstract Algebra I (3) This is the first course in abstract algebra. Topics include study of groups, permutations, cyclic groups, subgroups, isomorphism, cosets, rings, fields, and integral domains. Prerequisites: MATH 295 Survey of Modern Math and MATH 191 Calculus II MATH 371 Abstract Algebra II (3) Abstract Algebra II is a study of groups, rings, ideals, lattices, solvable groups, and roots of polynomial equations. It is a continuation of MATH 370. Prerequisite: MATH 370 Abstract Algebra I MATH 380 Real Analysis (3) This is a study of sets, mappings, sequences, connected, open and closed sets, continuity, uniform convergence, and metric spaces. The course offers an introduction to measure theory. Prerequisites: MATH 295 Survey of Modern Math and MATH 191 Calculus II MATH 410 History of Mathematics (3) This course is a historical narrative of the development of major mathematical ideas and concepts over the centuries. It is a historical narrative. Students concentrate on related problems and their applications, which provides them with valuable information in business, science, education, and research. Knowledge of the rudiments of mathematics through calculus is desirable for the course. MATH 430 Topology (3) Topology is an introductory course in which sets, functions, topological spaces, subspaces, continuity, connectedness, compactness, separation properties, metric spaces, and product spaces are studied. Corequisite: MATH 291 Calculus IV MATH 440 Number Theory (3) This course offers a study of divisibility, the division algorithm, Euclid s algorithm, prime numbers, congruences, number theoretic functions, and quadratic reciprocity. Corequisite: MATH 290 Calculus III MATH 450 Advanced Calculus I (3) In this course advanced topics of calculus are presented. Elementary calculus, real number system, properties of continuous functions, extensions of the mean-value theorem, Taylor series, and functions of several variables are rigorously considered. Prerequisite: MATH 291 Calculus IV MATH 451 Advanced Calculus II (3) Elements of partial differentiation, implicit function theorems, inverse function theorem, line integrals, Green s Theorem, transformation of double integrals, uniform continuity, theory of integration, uniform convergence, and infinite series are studied in this course. Prerequisite: MATH 450 Advanced Calculus I MATH 495 Independent Study in Mathematics (1-3) This course enables students to investigate areas of advanced mathematics with the help of an individual instructor. Honors may be granted to students who submit high-quality research papers. It is only open to juniors and seniors who are Math majors and who have attained a 3.0 cumulative grade point average in Mathematics. Prerequisite: Junior or senior status, Math major, permission of chairperson, and minimum 3.0 grade point average MATH 1165 Pre-Calculus (Business) (3) This course is directed to the needs of the business major. Topics include: polynomial and rational functions and graphs, exponential and logarithmic functions, systems of equations and matrices, linear programming, and introduction to calculus. Algebra or its equivalent MATH 501 Math Content Praxis Review (1) MATH 502 Concepts of Computer Science (3) MATH 503 Computers in Mathematics (3) MATH 508 Professionalized Subject Matter in Arithmetic (3) MATH 510 Professionalized Subject Matter in Algebra (3) MATH 511 Professionalized Subject Matter in Middle School Mathematics (3) MATH 512 Professionalized Subject Matter in Geometry (3) MATH 514 Professionalized Subject Matter in Pre-calculus Mathematics (3) MATH 515 Math Manipulatives 1 (3) MATH 516 Math Manipulatives 2 (3) MATH 517 Calculators in the K-8 Classroom (3) MATH 518 Calculators in the Secondary Classroom (3)

6 MATHEMATICS/MEDIA ARTS 133 MATH 526 Algorithmic Number Theory (3) MATH 527 Probability and Statistics (3) MATH 529 Selected Topics in Topology (3) MATH 531 Numerical Analysis (3) MATH 536 Mathematical Modeling (3) MATH 540 Graph Theory (3) MATH 598 Mathematical Principles of Computer Graphics (3) MATH 599 Structural Programming in C Language (3) MEDIA ARTS Fries Hall, Rm Mr. Roddy Bogawa, Chairperson rbogawa@njcu.edu Professor: Steuerwald Associate Professors: Albrecht, Bogawa, D Alessandro, Tese Assistant Professors: Dika, Foster, Katz, Ramocki The Media Arts Department is accredited by the National Association of Schools of Art and Design (NASAD). The Media Arts Department houses a full color, broadcast-quality television studio, MAC and PC digital media labs, radio and audio production facilities, and 16mm film production and postproduction facilities. The department has a studio/classroom for multi-media production and two large projection/ seminar rooms for weekly screenings. Completing the Media Arts facilities are AVID and Final Cut Pro video editing suites, and 16mm Steenbeck editing suites. Works produced in the Media Arts Department include experimental, digitally animated, documentary and narrative short subjects, and independent feature productions. The department is the official home of The Thomas Edison-Black Maria Film and Video Festival, recognized by The Academy of Motion Picture Arts and Sciences as an Academy Award qualifying festival for short films (documentary, animation, and live action). The department also sponsors the URBAN IMAGE media collective whose mission is to provide venues for emerging artists current media majors and graduates of the Media Arts program to exhibit their work through partnership with arts organizations in Hudson County. The Media Arts Department is also a co-sponsor of the New Jersey Young Film and Videomakers Festival. Faculty members are active in the production of original films and videos. Their work has been screened at major festivals and museums including the Museum of Modern Art, the Margaret Mead Festival at the Museum of Natural History, and The Whitney Museum of American Art. The Media Arts Department offers a single degree track, providing students with a rigorous foundation in media production, as well as the opportunity to pursue a concentration in the areas of video, film, digital media production, and audio production. Department faculty members act as advisors and mentors in the areas of film production, video production, audio production, digital media, screenwriting, and theory/aesthetics. The department offers an innovative minor program that allows students to design their own program of study under the guidance of a faculty mentor. Students outside the department wishing to take media classes must complete all required prerequisites and obtain the permission of the chair before registering for 300 and 400 level courses. The Dr. Joseph Drew Award for Excellence in Production is given every year to a graduating senior from the Media Arts Department. The recipient of the award is chosen by the Media Arts Department faculty on the basis of an overall cumulative grade point average (CGPA) of 3.0 or better, and the demonstration of a high level of technical competence in a number of production areas as well as a high level of creativity and professionalism in completed productions. Requirements for admission, fields of employment, continued areas of education, and course requirements for this major are explained in detail below. The requirements for graduation, which precede a student s major, are listed on p. 45 Undergraduate Requirements.