Faculty : Faculty of Engineering and Applied Sciences

School :

Course Description :

Topics from differential and integral calculus used in business; applications to optimizing financial functions, marginal functions in economics, and consumer or producer surplus.

Faculty : Faculty of Engineering and Applied Sciences

School :

Course Description :

This course consists of two main parts. The first part considers basic concepts of linear algebra with applications. This part starts with techniques for solving a system of linear equations along with reducing a matrix its reduced echelon form. Then, linear combination between vectors in linear algebra is presented and the notion of linear independence/dependence is introduced. Computation and interpretation of a rank of a matrix is also given with an application to determining the solution nature of a system of linear equations. The problem of eigenvalues and eigenvectors is then presented with applications to problems such as matrix exponentiation and matrix diagonalization. In the second part, basic background on single/multiple variables calculus and ordinary/partial differential equations is presented. In the single variable calculus, topics presented include limits, differentiation, Indefinite/definite integration, and series expansion of a single variable function. For multi-variable calculus, partial differentiation, and multiple integrals are presented with different applications. For ordinary differential equations, analytical techniques for solving both first-order differential equations and linear differential equations of second order and higher orders are presented. Partial differential equations part covers the separation of variables technique with application to wave, heat and Laplace equations.

Faculty : Faculty of Engineering and Applied Sciences

School :

Course Description :

The first part of this course provides the student with a solid and comprehensive background in probability theory with single/multiple random variables. It starts with basic concepts in probability theory such as probability axioms, probability theorems, counting techniques, conditional probability, Bayes’ theorem and law of total probability. Then, the notion of random variables is introduced in both discrete and continuous settings along with a set of important distributions. The extension to the multiple random variables case is considered with an emphasis on the bivariate case. Techniques for determining the distribution of a function of random variables are presented with an application on deriving sampling distributions. Based on this background, the second part of the course describes elementary inferential statistical tools from both theoretical and computational points of view. The estimation problem is presented for different cases based on one and two populations. The test of hypothesis problem is introduced as a standalone problem and as an alternative view of the confidence interval problem. The regression problem is also discussed where the techniques of both estimation and test of hypothesis problems are heavily used to build statistical inference about regression coefficients.

Faculty : Faculty of Engineering and Applied Sciences

School :

Course Description :

Some experiments will be carried out such as: study of the Relation between color and absorption spectra (Spectrophotometer)- determination of the First‒order rate constant of some reactions- Synthesis of p‒nitro acetanilide- Determination of dissociation constant by spectrophotometer- Chemistry of sugar- Photocatalytic reaction.

Faculty : Faculty of Engineering and Applied Sciences

School :

Course Description :

Fundamentals of diverse fields of life science, fundamentals of cell structure, genetics and molecular biology, structures and functions of biomembranes, respiration and energy conservation, photosynthesis, plant diversity, characteristics of bacteria and viruses, and environmental issues, fundamentals of animal taxonomy, signaling and sensory systems in plants and animals, immune systems, current topics in bioenergy, cancer biology and biotechnology. This course aims to provide fundamental knowledge on life sciences as the basis not only for advanced life sciences but also for broad fields in science and technology.