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.
Department of Mathematics and Natural Sciences
MTH 101: General Calculus
This three-credit course provides an introduction to differentiation and integration and shows some applications 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: Differentiability. Techniques of differentiation. Implicit differentiation. Local extrema, first and second derivatives tests for local extrema. Concavity and inflection points. Curve sketching. Applied extrema problems. The Mean Value Theorem and applications.
MTH 106: Discrete Mathematics
This 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 201: Operation Research
The purpose of this three-credit course is to acquaint the students with quantitative decision-making tools and its applications in both business and IT areas by learning the mathematical techniques and applying different tools of operation research. It also introduces students to the quantitative approach in quantitative problem solving and develops the student understanding of modern modeling techniques.
MTH 204: Calculus II
This course provides basic definite and indefinite integrals of functions of a single variable. Fundamental Theorem of Calculus. Techniques of integration. Applications of the definite integral to area, volume, arc length and surface of revolution. Improper integrals. Laplace and Fourier transforms and Fourier 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 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.
STT 103: Probability and Statistics
This three-credit course provides a basic background of science of statistics, types of data, graphical methods and numerical methods of describing data, probabilities, normal, binomial, Poisson distributions, sampling distribution and central limit theorem, large and small sample confidence intervals for mean and proportions, determining the sample size and hypothesis testing.
STT 105: Probability and Statistics for Engineers
This three-credit course provides a basic background of science of statistics, types of data, graphical methods and numerical methods of describing data, probabilities, normal, binomial, Poisson distributions, large and small sample confidence intervals for mean and proportions, determining the sample size and hypothesis testing.
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 100: Chemistry for Interior Architect
This three -credit course provides students with strong background in the field of chemistry, which is required to complete their study in the field of interior architecture and furniture.
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, and nuclear chemistry.
PHY 101: Introduction to Physical Science
This three-credit course is an introductory course designed to explore the basic concepts of Physical Science. The course includes an introduction to the fundamental concepts of Physics and Chemistry. Students will be encouraged to explore the relationship between science and everyday life. This course will provide opportunities to study the concepts of matter, energy, speed, velocity, acceleration, Static and Current electricity, metals, nonmetals, efficiency, periodic table and forces and their application through investigations and activities that develop thinking skills and independent thinking. This course will establish a base with which the non-science student can view nature more perceptively
PHY 102: Physics for Architecture
The aim of This three-credit cours is to provide students with strong background in the field of electricity, magnetism, heat, forces, gravity, and motion.The objectives of this course are to give better understanding to the relation between heat, work, and the conservation of energy through thermodynamic cycle. The course is divided into three parts: the first part includes an introduction to static electricity; the second part includes heat, work, and the states of the working fluid-The first and second law of thermodynamics; the third part includes study of forces on the bodies with some exposure to static
PHY 103: Physics I
This four-credit course provides students’ knowledge of mechanics. Topics include details of vector’s analysis (two and three dimensions), Newton’s laws using graphs and vectors, linear motion, circular motion, work and energy, energy transfer, linear and angular momentum and their conservation, universal gravitation, periodic and wave motion, dynamics and statics of particles and rigid bodies, harmonic vibrations and fluid mechanics of motion
PHY 203: Physics II
This four-credit course designed to explore and study of the basic laws of electrostatics, current electricity, magnetic effect of current, electromagnetic induction, alternating current, electromagnetic induction, semi-conductors, PN Junction, diode of different types, transistors of different types, working of transistors in different configurations, logic gates using diodes and different types of transistors, operational amplifiers: their types, modes of operations and applications.
MEC 103: Engineering Mechanics
This Three-credit course provides students’ Introduction to mechanics. Topics include general principles. Force system: rectangular components of a force, parallelogram law. Equilibrium of a particle: springs and cables. Force system resultant: moment of a force, tranquility of a force, free body diagram. Equilibrium of a rigid body: condition of rigid body equilibrium, equation of equilibrium, two and three internal force members. Structural analysis: simple trusses, the method of joint, zero force members, method of sections, frames and machines. Friction. Moment of inertia.
ENR 203: Statics and Strength of Materials
This three-credit course covers 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.