|
MTH 103 Precalculus
3 Credits
This course is designed to prepare students for Calculus and other higher level mathematics courses and for majors in Science, Business and Information Science courses. The course will cover elementary coordinate geometry of the straight line; linear functions; polynomial functions; rational functions; exponential functions; logarithmic functions; trigonometric functions and their applications; rates of change of functions and the idea of a limit.
Prerequisite(s): COL 111 or Permission of Department Chair.
MTH 121 Calculus I
3 Credits
The course covers the basic principles and applications of the mathematics describing change. It includes functions and modeling, plus differential calculus and its applications to a variety of examples from many fields. Also studied is the accumulation of change via the basics of integral calculus and simple applications.
Prerequisite(s): MTH 103 or Permission of Department Chair.
MTH 122 Calculus II
3 Credits
The course covers techniques of integration including improper integrals and resolving indeterminate forms. A variety of examples of applications of integral calculus are considered from many fields. The course also deals with co-ordinate systems other than Cartesian. The applied topics are chosen from multivariable calculus, differential equations and infinite series.
Prerequisite(s): MTH 121
MTH 261 Elementary Geometry
3 Credits
This course provides students with an understanding of the concepts of geometry and will clarify their understanding of proof in mathematics. The course concentrates mainly on Euclidean geometry but will also introduce students to other geometries that have been developed to overcome some of the difficulties encountered with Euclidean Geometry. Methods of teaching school geometry, past and present, will be investigated.
Prerequisite(s): COL 111
MTH 281 Probability and Statistics I
3 Credits
Topics covered in the course include the definition of populations and samples; organization and presentation of data; measures of central tendency and dispersion; introduction to probability and laws of probability; discrete and continuous probability distributions; parameter estimation; sampling distributions and confidence intervals.
Prerequisite(s): COL 110 or Permission of Department Chair.
MTH 291 Quantitative Methods for Business
3 Credits
Topics covered include the basics of functions, including linear and exponential functions, solving simultaneous linear equations and the mathematics of finance. Some basic statistics are also included, such as sampling, a review of descriptive statistics, simple probability, confidence intervals, hypothesis testing, time series, and regression.
MTH 331 Linear Algebra
3 Credits
Linear algebra is important in many fields including information technology, engineering, business and finance. This course is an introduction to the essential elements of linear algebra and covers matrices; systems of linear equations; Euclidean n-space; orthogonality; linear transformations; determinants; eigenvalues and eigenvectors.
Prerequisite(s): COL 111 or Permission of Department Chair.
MTH 333 Abstract Algebra
3 Credits
An introduction to the fundamental concepts of modern algebra, including cyclic and permutation groups, normal subgroups, factor and quotient groups, isomorphism theorems, integral domains, polynomial rings and applications of group theory. Prepares students for more advanced study in field theory and Galois theory.
Prerequisite(s): MTH 222 OR MTH 122
MTH 341 Differential Equations
3 Credits
Differential equations are used to represent dynamical systems in science, engineering, business, economics and finance. This course emphasizes applications using technology to facilitate understanding. Topics include: An introduction to first and second order linear differential equations; series solutions of differential equations; numerical solution of ordinary differential equations and partial differential equations.
Prerequisite(s): MTH 122
MTH 343 Real Analysis
3 Credits
The course begins with the rationale behind the development of the subject after the problems created by Fourier's solution of the heat equation and the ensuing attempts to establish a firm foundation for calculus. This leads to rigorous treatment of infinite series, differentiability, continuity, and ends with Fourier series expansion.
Prerequisite(s): MTH 121
MTH 351 Discrete Mathematics
3 Credits
The course provides students with the mathematical tools that they need to support their work as Information Technology majors; many topics are useful pre-requisites for further courses in mathematics. Topics covered include: Numbers and number systems; sequences and series; vectors and matrices; set theory; logic; relations and functions; inequalities; combinatorics; problem solving strategies and algorithms.
Prerequisite(s): COL 111
MTH 353 Numerical Analysis
3 Credits
Numerical approximation techniques are important in areas such as computer applications, science and engineering, economics and financial modeling. The aim of this course is to explain how and why they are used when they can be expected to work. Topics include: Non-linear equations; systems of linear equations; approximation of functions and data; numerical differentiation and integration; ordinary differential equations.
Prerequisite(s): MTH 122 and MTH 331
MTH 361 Modern Geometry
3 Credits
This course emphasizes the axiomatic development of plane geometry and utilizes the School Mathematics Study Group (SMSG) postulates as a guiding force. The course will extend the ideas of plane geometry to investigate Non-Euclidean models of spherical and hyperbolic geometry. Visual models and programs will be used throughout the course.
Prerequisite(s): MTH 121
MTH 390 Selected Research Project
3 Credits
Under the direction of a faculty member, a student will pursue a selected independent research project on some area of mathematics. This research may be based on published material or on modeling work. A faculty member must agree to act as supervisor before a student is permitted to enroll.
Prerequisite(s): Permission of Department Chair.
MTH 482 Probability and Statistics II
3 Credits
A continuation of MTH-281. Topics covered include sampling distributions and the Central Limit Theorem; point estimation of population parameters; large and small sample confidence intervals for the mean, variance, standard deviation and proportion; large and small sample hypothesis testing on the mean, variance, standard deviation and proportion; hypothesis testing for the difference between two means, variances and proportions; regression and correlation; contingency tables and goodness of fit.
Prerequisite(s): MTH 281
MTH 486 History of Mathematics
3 Credits
In this course we will examine the history of mathematics and its role in school classrooms. We will develop the ability to find good, reliable references and will then use these to create classroom worksheets and activities. In the process we will learn about the history of algebra, geometry, number theory and other areas of mathematics and about the culturally diverse mathematicians who worked in these areas.
Prerequisite(s): COL 111
MTH 490 Internship
6 Credits
Students participate in an employment internship at an appropriate business or government institution. Here they learn to apply the skills and knowledge gained at Zayed University to real life situations.
MTH 498 Undergraduate Research Project
3 Credits
An independent literary or practical research project open to senior students majoring in Natural and Quantitative Sciences. A faculty mentor supervises all stages of the research project.
MTH 499 Capstone Course
3 Credits
Under the supervision of a faculty member, students undertake a research project in their field of study.
|
