Based on the fact that almost realistic engineering problems cannot be solved analytically, industry’s interest in applying numerical methods to simulate engineering applications has sustained a phenomenal growth in order to better understand physical phenomena, reduce cost and time-to-market of products. In this course, students will learn fundamental mathematical techniques to solve many problems numerically that will contribute substantially to the understanding of many of their future courses and to make them successful engineers. Many examples and exercises on application of the methods to simplified/model of real-life and engineering will be included along with their implementation in MATLAB package that combines computation, advanced graphics and visualization, and a high-level programming language. GNU OCTAVE, an open source software, is accepted as an alternative to MALAB, since it has a very similar environment and syntax with the advantage to be free. The numerical techniques students will learn are essentially; numerical methods for solving nonlinear scalar equations, linear systems, initial value problem (ODEs), interpolation, numerical differentiation and integration and estimating eigenvalue and eigenvectors.

This course deals with multi-dimensional calculus. It is designed primarily for engineering majors and is taken by other technical majors. The student will develop an understanding of limits and continuity of functions of several variables; compute partial derivatives and apply to optimization problems; set up and compute iterated integrals to compute areas, volumes of solids; understand and apply Green’s Theorem, the Divergence Theorem and Stoke’s Theorem.

This introductory course will give the student an overview of descriptive and inferential statistical methods. This course offers a solid introduction to differential and integral calculus and is designed for students in the biomedical sciences. The course begins with an intensive review of important topics from Calculus I: differentiation, derivative rules, optimization, anti-derivatives, definite integral, and fundamental theorem of calculus. Then the Calculus II will continue with techniques of integration for functions of one variable, multivariable functions together with partial derivatives and multiple integrals, and differential equations together with applications.

This course provides an introduction to linear algebra topics. Emphasis is placed on the development of abstract concepts and applications for vectors, systems of equations, matrices, determinants, vector spaces, multi-dimensional linear transformations, eigenvectors, eigenvalues, diagonalization and orthogonality. Upon completion, students should be able to demonstrate understanding of the theoretical concepts and select and use appropriate models and techniques for finding solutions to linear algebra-related problems with and without technology

This course is a continuation to Calculus I. The course covers basic mathematical analysis and tools, widely used in more sophisticated mathematics-based tools in various areas. The topics include Integration techniques, applications of integration like volumes by disk and cylindrical shells methods, Arc length and area of a surface of revolution, parametric equations and polar coordinates, conic sections, infinite sequences and series.

This course is an introduction to the theory and application of ordinary differential equations and the

Laplace transform. The main objective is for the student to develop competency in the basic concepts and

master certain solution methods. Topics covered include linear and nonlinear first order equations; higher

order linear differential equations; undetermined coefficients method; variation of parameters method;

Cauchy-Euler equation; Laplace transform; linear systems solution; solution by series method.

The main objective of this course is to help the student in understanding the basic concepts of calculus on the one hand, and to develop the skills needed for using calculus as a viable tool to solve problems that arise in the study of business and economics. Topic covered include, limits, types of functions (polynomial, rational, exponential and logarithmic), their derivatives, anti-derivatives and their various applications.