Courses
This is the first part of a
three-part sequential set of calculus courses. After
completing MATH 111, the student should be able to
understand and use the concepts of limits and
continuity; apply the concepts of derivatives to
solve problems such as optimization, graphing,
related rates, and motion; apply the concept of
integration to solve problems involving areas,
volumes, arc length, and work.
A second course in calculus
covering some techniques of integration, sequences
and series, matrices with eigenvalues and
eigenvectors, vectors in both two and three
dimensions, planes and surfaces, curves and arc
length, and vector-valued functions with their
derivatives and integrals. Applications of the
material to a number of physical situations relevant
to both science and engineering are made.
MATH212
is the third part in a series of 3 Calculus courses.
The goal is to extend the concepts learned in the
earlier Calculus courses to deal with problems
involving several variables. In this course,
students will learn to compute partial derivatives,
multiple, line and surface integrals and how to
apply these concepts to solve optimization problems
and to determine volumes, areas, centers of mass and
moments of inertia. Students are also exposed to the
Fundamental theorem for line integrals, Green's,
Stokes and Divergence theorems. Students are
encouraged to use technology as an aid in solving
problems.
MATH 241 Probability
and Statistics |
This course is targeted mainly at
those students taking Mechanical and Electrical
Engineering as their degree major. In this first
course the basic properties of probability, discrete
and continuous random variables, some special
discrete and continuous (joint) distributions,
descriptive statistics, central limit theorem, point
estimators, confidence intervals and hypotheses
testing are discussed. The use of software as well
as the interpretation of the results is discussed. i
MATH 261
Differential Equations |
This is a first course in ordinary
differential equations covering methods of solutions
to first and second-order equations. A number of
application problems from science and engineering
will be given.
MATH 361
Advanced Engineering Mathematics |
An advanced course in mathematics
covering topics pertaining to engineering. Topics
covered include complex numbers and functions,
modulus-argument form and the Argand diagram; some
special functions including the gamma and beta
functions, the incomplete gamma functions, error and
complementary error functions, and the Lambert W
function; Fourier series, Fourier sine and cosine
series, complex Fourier series, Fourier sine and
cosine transforms and the complex Fourier transform,
Parseval and convolution theorems; partial
differential equations, analytical methods of
solution including separation of variables, Fourier
series and Fourier transform methods with
applications to the wave and heat equations.
MATH
365 Numerical
Methods |
This is a
first course in numerical and approximation
techniques designed for undergraduate engineering
students. The course covers methods for root finding
of non-linear equations, numerical solution of
systems of linear and non-linear equations,
interpolation and approximation of functions or
tabulated data, least square approximation,
numerical integration using quadrature rules,
numerical solution of ordinary differential
equations and an introduction to error analysis. The
student will also learn to write programs
implementing the methods.
A first
course in linear algebra covering the basic concepts
and algebra of matrices, special and inverse
matrices, linear systems of equations, determinants
and their properties; vector spaces, subspaces, row,
column, and nullspaces, linear independence, basis,
dimension, and rank of a matrix; matrix and
properties of linear transformations, change of
base; eigenvalues and eigenvectors, diagonalisation
of matrices; inner products, orthogonality,
orthonormal bases and the Gram-Schmidt process.
Applications of the mathematics to a number of
situations important to both engineering and science
will be made.
MATH 371 Operations Research for Engineers |
The course covers linear programming (LP) problems and solutions by the Simplex method which is one of the main techniques of operations research used in various engineering and industrial procedures. It also serves as a general tool in finding optimal solutions when resources are limited and is widely used in managerial decision making. Examples include blending, production processes, inventory model, scheduling, assignment and transportation problems. In this course we first learn how to set up a mathematical model of an LP and then we learn how to analyze and solve LP problems by applying simplex algorithm and the available software such as Lindo and Lingo.
MATH 575 Mathematical Modeling in Engineering |
In this course, we explore the underlying principles of various mathematical models arising in various branches of engineering – chemical, electrical, mechanical and petroleum. These principles are used in the approximation and validation of a variety of models which include simple mechanical, fluid flow and thermal systems, reaction-diffusion and heat conduction, matter transport in porous media, electromagnetism and elastostatics.
