MATHEMATICS



MATH 1101  - Mathematical Modeling .................3.00 Credits This course is an introduction to mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore real world phenomena. Emphasis is on the use of elementary functions  to investigate and analyze applied  problems  and  questions, supported by appropriate technology and effective communication  of   quantitative concepts and results.


MATH 1111  - College Algebra ...............................3.00 Credits This course includes a study of topics in real numbers, linear and quadratic equations, complex numbers, various types of other functions and their graphs, exponential and logarithmic functions, systems  of linear equations and inequalities.

Prerequisite: Developmental MATH 0099 or Placement Test.


MATH 1113  - Pre-calculus with Trig......................3.00 Credits This course is the study of functions and their graphs.   Topics  include trigonometric  functions,  exponential  and  logarithmic  functions, transcendental functions and polar coordinates.

Prerequisite: MATH 1111 or Placement Test.


MATH 1201  - Survey of Calculus .........................3.00 Credits This course includes a study of topics  in  limits,  continuity, differentiation  of  elementary  functions,   applications of the derivative, the definite integral and applications.

Prerequisites:  MATH 1111.


MATH 1211  - Calculus I ........................................4.00 Credits This is a beginning course in calculus. Topics include differentiation and  integration  of  algebraic   and   trigonometric   functions, with applications to graphs  of  functions,  rectilinear  motion,  maxima and minima, areas, volumes and work.

Prerequisite: MATH 1113 

MATH 1311  - Informal Geometry ........................3.00 Credits

A study of the basic theorems and constructions in plane Euclidean geometry and an introduction to space geometry, central angles, tangents, inscribed   and   circumscribed   circles,   polyhedrons   and polygons.

Prerequisite: MATH 1111.


MATH 2008 - Foundations of Numbers

and Operations .......................................................3.00 Credits This course is an Area F introductory mathematics course for early childhood education majors.  This course will emphasize the under- standing and use of the major concepts of number and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics.

Prerequisite(s):    Math 1101, Math 1111, or Math 1113.


MATH 2111  - Linear Algebra ...............................3.00 Credits

This course concentrates on operations with vectors, matrices, systems of linear equations, determinants, vector  spaces, linear  trans- formations, eigenvalues and eigenvectors.

Prerequisite: MATH 1211.


MATH 2212  - Calculus II.......................................4.00 Credits This course is a continuation of  Calculus  I. Topics  include differentiation and integration of transcendental  functions,  techniques of  integration,  arc  length,  surface  or volumes,  force,  work,  and introduction to differential equations, improper integrals, sequences and series and parametric equations.

Prerequisite: MATH 1211  .


MATH 2213  - Calculus III .....................................4.00 Credits Topics include vectors, the calculus of vector-valued functions, polar coordinates, spherical coordinates, function of several  variables, directional derivatives, Lagrange multipliers and multiple integrals.

Prerequisite: MATH 2212  .


MATH 2411  - Basic Statistics ................................3.00 Credits This course will include an introduction to probability and basic concepts of descriptive and inferential statistics.  The computer and graphing  calculators  will  be  an  integral  part   of   this course.

Prerequisite: MATH 1111 or MATH 1113.


MATH 3000  - Numbers and Their Applications..3.00 Credits This course will cover the basic properties  of  the  system  of  natural  numbers, the system of whole numbers, the system of rational numbers and the system of real numbers. This course will also cover nomenclature and representations of numbers, number patterns, elements  of  number  theory and applications.

Prerequisite: MATH 1111 or MATH 1113.


MATH 3001  - Math Concepts

using Technology......................................................3.00 Credits This course explores the technical tools to study concepts in Geometry, Algebra and Calculus.   Software  such  as  Geometric  Pad, Maple  V, Interactive Pre-calculus and Language Proofs and Logic will  be  used  to explore pre-calculus and  calculus  concepts  and their  applications  in problem solving.   Graphing  calculators  will be used to demonstrate concepts in mathematics and to do problem solving.

Prerequisite:  MATH 1113.


MATH 3101  - Introduction to Number Theory ...3.00 Credits Introduction to the classical  arithmetic  properties  of  the  integers. Divisibility properties, primes and their distribution, congruencies, Diophantine equations and their applications, number-theoretic functions,  Fermat  and  Euler  theorems, continued fractions, Fibonacci numbers, Pythagorean triples and perfect numbers.

Prerequisite: MATH 2212 


MATH 3111  - Discrete Structures.........................3.00 Credits This course includes topics such  as  logic,  set  relations,  functions, counting   techniques,   mathematical   induction,   representations, combinatorial problems, elementary graph theory, network flow, recursion and finite state machine.

Prerequisite: MATH 1113.


MATH 3112  - Discrete Mathematics.....................3.00 Credits This course includes a study of topics in combinatorial mathematical processes. Topics in mathematical induction, set theory, number theory, combinations, permutations, probability theory including the induction principle, relations,  recursions,  the  counting  principle, generating functions, logic, and graph theory are covered.

Prerequisite: MATH 1113.


MATH 3211  - Ordinary Differential

Equations……………………………………….......3.00 Credits

This course includes topics in ordinary differential equations: separable equations, homogeneous and non homogeneous equations, exact  equations, Euler equations, non- linear ordinary differential equations,  the  study of Laplace transforms and how to use them to solve practical problems  as well as solving systems of linear differential equations.

Prerequisite: MATH 2212.

MATH 3213  - Modern Geometry..........................3.00 Credits This course is the study of metric, affine and projective  geometries by means of groups of transformations and their invariants on the Euclidean plan.

Prerequisite: MATH 2111  .


MATH 3314  - Math Statistics ................................3.00 Credits Calculus-based course in probability and statistics covering  probability distributions, probability densities,  random  variables,  sampling, experimental design and nonparametric statistics and decision theory.

Prerequisite: MATH 2212.


MATH 3411  - Statistical Methods .........................3.00 Credits This course deals basic statistical methods encountered in  applications. Topics covered include normal  distribution,  confidence  interval, statistical inferences, hypothesis testing, regression   and correlation, categorical  data  and  non-parametric  methods,  analysis of variance. Statistical methods will be a major requirement for the  mathematics program.  It supports our efforts to strengthen  our program and offer more Applied Mathematics courses to our majors who are seeking employment in areas requiring the use of statistics as well as those majors who intend to pursue graduate programs in statistics.

Prerequisite: Math 2411


MATH 3413  - Introduction to Combinatorics .....3.00 Credits This  course  is  the  study  of  basic  graph  theory,  permutations, combinations, inclusion-exclusion  principle,  recurrence  relations, generation functions, occupancy  problems,  applications  to  probability theory, geometry of the plane, maps on  the  sphere,  coloring problems, finite  structures,  systems  of  distinct   representatives, existence problems, magic squares, and Latin squares.

Prerequisite: MATH 2111.


MATH 3423  - Intro to Operations Research........3.00 Credits This course is the study of deterministic and stochastic models including transportation  and  assignment  problems,  network  analysis,   decision theory, queuing theory and simulation.

Prerequisite: MATH 2111.


MATH 4111  - Modern Algebra I...........................3.00 Credits This course covers basic concepts in  groups,  rings,  integral  do- mains, homeomorphisms  and  isomorphism  of  groups.

Prerequisite:  MATH   2212 


MATH 4112  - Modern Algebra II .........................3.00 Credits This course covers elementary concepts in ring theory and field theory. Prerequisite: MATH 4111.


MATH 4211  - Elements of Analysis I....................3.00 Credits This course is the study of the real number system, point- set theory of the real line, global and local properties of continuous  functions, Law of Mean, convergence of sequences and series, and the Theory of  Riemann Integration.

Prerequisite: MATH 2213.


MATH 4212  - Elements of Analysis II ..................3.00 Credits This course is the study  of  functions  of  several  variables, implicit-function theorems, vectors in Rn, linear transformations in Rn, calculus  of  functions  in  higher  dimensional  Euclidean  spaces, multiple integrals, line and surface integrals.

Prerequisite: MATH 4211.


MATH 4214  - Intro to Complex Variables...........3.00 Credits

The course includes a study of analytic, harmonic, continuous, and logarithmic functions, Cauchy-Riemann  equations,  power  series, branch point,  contours   and   contour   integrals,   Cauchy's   theorem,  and applications.

Prerequisite: MATH 2213 


MATH 4215  - Numerical Analysis ........................3.00 Credits This course will provide an introductory knowledge of  elementary numerical methods found useful in the field of computing.  This will include number representation and errors, locating  roots  of equations, interpolation and numerical differentiation, numerical integration, minimization and maximization multivariate functions.

Prerequisite: MATH 2213 


MATH 4220  - Partial Differential Equations .......3.00 Credits This course deals with method of characteristics  for  first  and  second order partial differential equations, separation of variables, hyperbolic equations,  parabolic  equations,  elliptic  equations,  Fourier series, Green's function. This course strengthens the applied math courses offerings in the mathematics program.

Prerequisite: MATH 3211.


MATH 4313  - Topology .........................................3.00 Credits This course is the study of elementary topology.  The topics include point  set  theory,  topological  spaces,   metric   spaces,   subspaces, continuous  mapping,  homeomorphisms,  connectedness,  compactness,   and intuitive concepts in topology.

Prerequisite:  MATH  4211  


MATH 4511  - History of Mathematics .................3.00 Credits

This course includes topics in numeral systems, Babylonian  and Egyptian mathematics, Pythagorean and Euclidean mathematics, Hindu  and  Arabian mathematics, European mathematics from the Dark Ages  to  the  Present.

Prerequisite: Senior standing.


MATH 4921  - Senior Project I …………………  1.00 Credits

In this course, students will broaden their educational experience by reading and understanding technical literature in the areas of mathematics and computer science, organizing and writing a professional-level proposal, attending seminars and preparing a professional-level presentation. Students will draw upon and synthesize knowledge from their previous course work. Though revision of both the proposal and the oral presentation, students will improve their ability to communicate the main ideas.

Prerequisite: Senior Students


MATH 4922  - Senior Project II   ………………….. 2 Credits

In this course, students will broaden their educational experience by reading and understanding technical literature in the areas of mathematics and computer science, organizing and writing a professional-level paper, project implementation and coding, attending seminars and preparing a professional-level presentation. Project implementation should satisfy all requirements mentioned in the approved proposal accomplished during the course CSCI 4921.  Students will draw upon and synthesize knowledge from their previous course work and educational experience.

Prerequisite: Senior Students and MATH 4921