Department of Mathematics and Natural Sciences

Welcome to the Department of Mathematics and Natural Sciences (MNS) at YU. MNS offers mathematics and science courses to fulfill the requirements of all programs at YU. We design a basic foundation courses for preparatory program that help students to establish a solid background in mathematics and science. More courses such as Calculus, Linear Algebra, Differential Equations, Physics, Ecology, Physical Science and Chemistry are designed for other levels to satisfy the necessarily of mathematics and science in all majors.  MNS has professional multicultural faculty with high standards in teaching to provide an excellent learning environment for our students. To enhance the learning process, students are always welcome to receive our supports through faculty’s office hours, and during each semester we run tutoring sessions and scientific activities which apply theories to real world problems. It is our commitment to offer high quality of mathematics and science and serve the entire YU community.

MTH 101: General Calculus

This three-credit course provides an introduction to differentiation and integration and shows some applications in business field. Topics include: Differentiation and its applications, Integration and its applications, multivariable calculus.

MTH 104: Calculus I

This three-credit course provides a basic background of limits and continuity of functions of a single variable. Topics also include: Derivatives, Applications of the Derivative, Partial derivatives of functions of Several Variables, and Maximum/Minimum Problem.

MTH 106: Discrete Mathematics

The course provides an overview of the branch of mathematics commonly known as discrete mathematics. It covers the mathematical topics most directly related to computer science: Propositional logic, Logic Gates; Algebra and operation of Sets, Relations, Functions and Proofs; Applications of Graph Theory; Trees Applications. Emphasis will be placed on providing a context for the application of the mathematics within computer science such as Digital Logic, Software Engineering, AI, Cryptography etc.

MTH 204: Calculus II

This three-credit course provides definite and indefinite integrals of functions of a single variable, Fundamental Theorem of Calculus, Techniques of integration, Applications of the definite, and Improper integrals. Topics also include: Sequences, series, convergence tests, alternating series, power series, and Taylor and Maclaurin series.

MTH 301: Linear Algebra

This three-credit course is designed to study matrix algebra, systems of linear equations, determinants, vector spaces, inner product spaces, linear transformations, eigen values and eigenvectors, and diagonalization of matrices.

MTH 304: Differential Equations

This three-credit hour course is designed to provide an Introduction to differential equations. First-order differential equations. Linear Models. Higher order differential equations. Homogeneous differential equations with constant coefficients. Undetermined coefficients-Annihilator Approach, reduction of order, variation of parameters, and Cauchy-Euler equation. Series solutions of linear equations. Systems of linear first-order differential equation. Laplace Transform.

STT 103: Probability and Statistics

This three-credit course provides the student with an advanced overview of descriptive and inferential statistical methods. This course’s topics include descriptive statistics, probability, probability distributions, sampling and sampling distributions, interval estimation, hypothesis testing, simple linear regression and correlation, and multiple regression analysis. In addition to relevant statistical theories, the course focuses on exercises and applications.

STT 203: Intermediate Statistics & Data Analysis

This three-credit course is designed for all YU business students who will learn how to apply the test of hypothesis for large and small samples for one population mean, two population means and multiple population means, including parameters mean and proportions. Finding the samples sizes. Elements of design of experiment completely randomize design. Testing probabilities using one and two way contingency tables. The least Square approach, Finding and interpreting coefficient of correlation and determination. Using the models for estimation and prediction. Multiple regression models first order models, interpreting B (beta) parameters.

ECL 101: Introduction to Ecology

This three-credit course provides the fundamental principles of ecology. Students will focus on populations and communities, adaptation, and other factors that affect organisms.

CHM 101: General Chemistry

This four-credit course designed to help students understand basic chemical principles and problem-solving skills. Chemical topics covered in the course include basic science concepts, measurements, atomic theory, bonding, stoichiometry, states of matter, solutions, acids & bases, gas laws, and intro to organic chemistry.

PHY 101: Introduction to Physical Science

This three-credit course will introduce students to physical sciences, especially to the discipline of Physics and Chemistry. It is an introductory course designed to explore the basic and fundamental concepts of Physics and chemistry through encouraged students to explore the relationship between science and everyday life. This course will provide opportunities to study the concepts of matter, measurements and unit, speed and velocity, acceleration, motion in 1D, Forces and Newton’s laws, Energy and conservation, Fluid, Thermodynamics, Light reflection and refraction, Atom structure, Elements and Periodic table, Compounds and Mixtures.

PHY 102: Physics for Architecture

The aim of this three-credit course is to supply the students with strong background in the field of force mechanics and thermodynamics which is really needed to complete their study in the field of architecture through study: Vectors and Scalers, Motion in one ID, Forces and Newton’s Laws, type of Forces, Static and Dynamic equilibrium in 1D and 2D, Stress, Strain and Elasticity, type of Stress, Young modulus, shear modulus, bulk modulus, and Phase of Matter. The objectives of this course are also given better understanding in Heat, Temperature, and the states of matter through the Zeroth and first law of thermodynamics.

PHY 103: Physics I

This four-credit course provides students’ knowledge of mechanics. Topics include details of linear motion 1D, vector’s analysis (2D & 3D), motion in 2D, the law of motion (Newton’s laws) using graphs and vectors, circular motion, some application of Newton’s law, work and energy, energy transfer. Linear momentum and collision, Rotation of rigid body and angular momentum, and their conservation. Students are provided with the opportunities to spend a minimum of 25 percent of instructional time engaging in hands-on-laboratory work.

PHY 203: Physics II

This four-credit course will introduce students to Electricity and Magnetism Sciences by explore and study of the basic laws of electrostatics, direct current, resistance and capacitor, Ohm’s law, electric power, DC circuit, alternating current, magnetic phenomena and magnetic force, magnetic effect of current, electromagnetic induction and Faraday’s law, transformers and generators, AC circuit and the resonance frequency, Electromagnetic wave spectra and wireless communications. Semi-conductors, PN Junction, diode of different types, transistors of different types and there some of applications. Students are provided with the opportunities to spend a minimum of 25 percent of instructional time engaging in hands-on-laboratory work.

ENR 203: Statics and Strength of Materials

Force system: vector analysis, moments and couples in 2D and 3D. Equilibrium of force systems. Analysis of structures; plane trusses and frames. Distributed force system; centroids and composite bodies. Area moments of inertia. Analysis of beams. Internal Forces: Shear and Moment Diagrams. (Mathematical & Graphical Methods). Centroids and Moment of Inertia. Elementary Strength of Material. Friction.

MTH 100: Mathematics for Business

This three-credit course is designed for business major students with special emphasis on applications to business, economics, and related fields. Topics covered in this course incudes algebraic basics, functions that arise in the business mathematics, linear programming, modelling, quadratic, inverse, exponential and logarithmic functions, polynomial, rational functions and graphs, systems of equations and matrices.

MTH101: Business Calculus

This three-credit course introduces differentiation and integration and shows some applications in business field. Topics include Differentiation and its applications, Integration and its applications, multivariable calculus.

STT201: Business Statistics and Analysis

This three-credit course provides the student with an advanced overview of descriptive and inferential statistical methods. This course’s topics include descriptive statistics, probability, probability distributions, sampling and sampling distributions, interval estimation, hypothesis testing, simple linear regression and correlation, and multiple regression analysis. In addition to relevant statistical theories, the course focuses on exercises and applications.