# Bethlehem University Undergraduate Catalog 2020-2021

## Faculty of Science/ Department of Mathematics and Physics/ Course description

### MATH111 - FUNDAMENTALS OF MATHEMATICS - 3 credits

This is a basic math course for non-science students which covers problem solving techniques, sets, basic probability and statistics, number systems and their structure, linear and quadratic equations, basic consumer mathematics.
Pre Requisite: No prerequisite

### MATH112 - MATHEMATICS I IN EARLY CHILDHOOD - 3 credits

This is an introductory course that covers topics such as Geometry, Numbers, Sets, and Statistics. This includes numbers and their types including prime numbers, divisors and multiples, integers, rational numbers with decimals, and irrational numbers; proportions and decimals; operations on set (Union and Intersection). In addition, Problem solving techniques and tools are introduced.
Pre Requisite: No prerequisite

### MATH141 - CALCULUS & ANALYTIC GEOMETRY I - 4 credits

The first course in calculus covers functions and their graphs, limits and continuity, tangent lines and derivatives, some theorems on differentiation, applications of derivatives, such as: curve sketching, maxima and minima problems, definite and indefinite integrals, and applications of integrals
Pre Requisite: No prerequisite

### MATH142 - CALCULUS & ANALYTIC GEOMETRY II - 4 credits

This course is a continuation of Math 141 and includes methods of integration and applications. Other topics covered are: inverse trigonometric, logarithmic and exponential functions, other transcendental functions, conic sections, parameterized curves and polar coordinates, some sequences and series
Pre Requisite: MATH141

### MATH234 - DIFFERENTIAL EQUATIONS - 3 credits

This course introduces various types of ordinary differential equations, first and higher order, linear systems of equations, Laplace transform and power series solutions, and some physical applications.
Pre Requisite: MATH142

### MATH235 - INTRODUCTION TO LINEAR ALGEBRA - 3 credits

This course covers fields, linear systems over fields, matrices and their arithmetic, determinant of a matrix, linear spaces and subspaces, bases, linear transformations, eigenvalues and eigenvectors, diagonalization and canonical forms.
Pre Requisite: MATH142

### MATH238 - DISCRETE MATHEMATICS - 3 credits

This course introduces students to logic, set theory and proof techniques, relations functions and their properties, mathematical induction, cardinality, basic concepts in number theory, combinatorial mathematics, and methods of counting.
Pre Requisite: MATH141

### MATH239 - MATHEMATICS FOR CAIS STUDENTS - 3 credits

This course introduces logic and methods of proof, sets and set operations, relations and functions, mathematical induction and recursion, introduction to matrices and solving simultaneous equations in several variables, methods of counting, introduction to trees and graphs.
Pre Requisite: MATH142

### MATH241 - CALCULUS & ANALYTIC GEOMETRY III - 4 credits

This course incorporates further work in calculus and analytic geometry covering vectors and analytic geometry in space, vector functions with their derivatives, multivariable functions, partial differentiation and multiple integration and applications, and some vector analysis.
Pre Requisite: MATH142

### MATH331 - PROBABILITY - 3 credits

This course introduces probability, methods of enumeration, conditional probability and independence, random variables of discrete and continuous types, expectation and variance, different kinds of distributions, moment generating function and functions associated with the normal distribution, and the central limit theorem.
Pre Requisite: MATH142

### MATH332 - THEORY OF NUMBERS - 3 credits

This course studies integers, divisibility properties, primes, prime factorization, diophantine equations, numerical functions, congruences and their applications, residues, primitive roots, theorems of Euler, Fermat, Lagrange, Wilson and the Chinese Remainder theorem
Pre Requisite: MATH238

### MATH333 - MATHEMATICAL STATISTICS - 3 credits

This is a continuation of MATH 331 which includes an introduction to sampling theory, the student t and F distributions with random functions associated with them, and the law of large numbers. Estimation theory, which includes unbiased, consistent, efficient, sufficient and maximum likelihood estimators are also included as well as testing hypothesis for means, proportions, variances and linear regression .
Pre Requisite: MATH331

### MATH334 - ADVANCED CALCULUS I - 3 credits

This course gives a formal introduction to the real number system, sequences of real numbers and their limits, continuity and differentiability of functions of a real variable, uniform continuity, approximation of functions by polynomials, Taylor`s Theorem.
Pre Requisite: MATH238

### MATH335 - ADVANCED CALCULUS II - 3 credits

This course is a continuation of Math 334 and includes Riemann integration, series of real numbers, sequences and series of functions, pointwise and uniform convergence, power series and analytic functions.
Pre Requisite: MATH334

### MATH336 - INTRODUCTION TO MODERN ALGEBRA - 3 credits

This is an introductory course in the elements of modern algebra and includes: groups, homomorphism, Lagrange theorem, quotient groups, isomorphism theorem, symmetric groups, rings, ideals, quotient rings and homomorphism, rings of polynomials over integral domains, principal ideal domain and the unique factorization theorem, extension of fields, algebraic and transcendental functions.
Pre Requisite: MATH235 And MATH238

### MATH337 - TOPOLOGY - 3 credits

Metric spaces, convergence and continuity, completeness and Cauchy's completion theorem, general topological spaces, separation axioms, metrizability, compactness, and connectedness, compactification theorems, product spaces and Tychonoff theorem, the fundamental group and an introduction to homotopy theory are included in the course
Pre Requisite: MATH335

### MATH338 - COMPLEX VARIABLES - 3 credits

The algebra and geometry of complex numbers, analytic functions, Cauchy-Riemann Equations, complex series, integration of complex functions, and some applications of complex variables to physics are covered in the course
Pre Requisite: MATH238

### MATH341 - MULTIVARIABLE CALCULUS - 3 credits

The Euclidean spaces and elementary topology on them, limits and continuity, differentiability of real and vector valued functions, implicit and inverse function theorems, measure and integrals in Euclidean spaces are covered in the course.
Pre Requisite: MATH335

### MATH342 - TOPICS IN ALGEBRA - 3 credits

This course is a continuation of MATH 235 and MATH 336 which includes: inner product spaces, orthonormal bases and the Grahm-Schmidt process, linear operators on inner product spaces, unitary and Hermitian operators, the spectral theorem, bilinear and quadratic forms, diagonalization, Sylvester's and Caley-Hamilton theorems, Jordan forms; extension of fields and an introduction to Galois theory.
Pre Requisite: (MATH235 And MATH336 )

### MATH352 - INTRODUCTION TO STATISTICS - 3 credits

The course is a service course. It is intended to provide an introduction to elementary statistical concepts basic to interpretations and applications. The first part of the course is descriptive statistics and the second part is inferential. Confidence interval and tests for means proportions are introduced. Contingency tables, correlation and linear regression are studied. A computer statistical package is used for data analysis
Pre Requisite: No prerequisite

### MATH361 - REGRESSION ANALYSIS - 3 credits

Sampling techniques, testing statistical hypothesis, single and multiple linear regressions, polynomial and nonlinear regression, model building and statistical inference in regression analysis are covered in the course. A computer statistical package is used for data analysis.
Pre Requisite: MATH333

### MATH362 - TOPICS IN APPLIED STATISTICS - 3 credits

This course is an introduction to basic methods of experimental design, analysis of variance, contingency tables, and nonparametric statistical techniques such as: the sign test, Wilcoxon and other tests. A computer statistical package to utilize these methods will be used.
Pre Requisite: MATH361

### MATH371 - APPLIED MATHEMATICS - 3 credits

Fourier series and their applications, orthogonal and periodic functions, Parseval equation, partial differential equations, heat and wave equations are covered in this course. Fourier transforms and some topics in calculus of variation are also covered.
Pre Requisite: MATH234

### MATH372 - NUMERICAL ANALYSIS - 3 credits

Solutions of equations in one variable, polynomial approximation, numerical differentiation and integration, initial value problems for ordinary differential equations, linear systems, iterative technique, and numerical solutions to partial differential equations are covered in the course.
Pre Requisite: MATH234

### MATH389 - SENIOR SEMINAR - 1 credit

Senior mathematics majors are required to conduct an intensive research study of a particular subject in mathematics chosen from a selected list of topics approved by the Mathematics Department. Seminar participants must present their subjects for discussion at seminar meetings with faculty members.
Pre Requisite: No prerequisite

### MATH399 - SPECIAL TOPICS IN MATHEMATICS - 3 credits

This is an independent study course open to senior mathematics majors. Topics are selected by the instructor in accordance with the student's ability and previous study.
Pre Requisite: No prerequisite

### PHYS113 - LABORATORY PRACTICE - 1 credit

Laboratory work involves studies in the following areas: basic theory of various laboratory equipment, experiments of mechanical concepts, the use of electrical components and meters, power supplies, signal generators, oscilloscope, and DC and AC circuits.
Pre Requisite: No prerequisite

### PHYS121 - PHYSICS FOR PHYSIOTHERAPY - 2 credits

This is an introduction to the following subjects with emphasis on applications to the human body and equipment used by physiotherapists: forces, Newton's three laws, rotational equilibrium, work and energy, momentum and collisions, electrostatic and Coulomb's law, electric field and potential, DC and AC current circuits, diffraction, polarization, reflection and refraction of waves.
Pre Requisite: No prerequisite

### PHYS131 - GENERAL PHYSICS I - 3 credits

This is an Introduction to the following subjects: vectors, particle kinematics and dynamics, work, conservation of energy and momentum, rotational kinematics and dynamics, conservation of angular momentum, oscillations.
Pre Requisite: No prerequisite

### PHYS132 - GENERAL PHYSICS II - 3 credits

This course covers gravitation, fluid mechanics, wave motion , temperature, heat and entropy, the first and second laws of thermodynamics, kinetic theory, the electric field, Gauss's law, the electric potential, capacitance, current and resistance, direct current circuits.
Pre Requisite: PHYS131

### PHYS133 - GENERAL PHYSICS FOR BIOLOGY - 3 credits

This is an introductory course in General Physics for students in Biology. The course handles the following subjects: motion in one dimension, vectors, motion in two dimensions, Newton's laws, statistics, work and energy, thermodynamics and thermal properties of materials, fluid mechanics, surface tension and osmosis, DC and AC currents, conduction in nerves, sound, wave properties of light, image formation, radioactivity, and introduction to nuclear physics.
Pre Requisite: No prerequisite

### PHYS231 - INTRODUCTION TO ELECTRONICS I - 3 credits

This is an introductory course for Electronics. It includes the use and applications of simple electronic devices. The student will be familiarized with the ways of fabrications and learn how to connect principal circuits. Laplace transformation will be introduced in this course. The course contains 5 lab sessions with a total of 10 hours.
Pre Requisite: PHYS132

### PHYS242 - MODERN PHYSICS - 4 credits

This course incorporates the following topics: fundamentals of special theory of relativity, introduction to quantum mechanics, atomic physics, solid state physics, nuclear physics and elementary particles.The course contains 8 lab sessions with a total of 20 hours.
Pre Requisite: PHYS132

### PHYS244 - GENERAL PHYSICS III - 4 credits

Magnetic fields, Faraday's law, inductance, alternating current circuits, electromagnetic waves, geometric optics, interference, diffraction and polarization are covered. The course contains 8 lab sessions with a total of 20 hours.
Pre Requisite: PHYS132

### PHYS331 - ELECTROMAGNETISM I - 3 credits

This course introduces the field of electromagnetism covering the following topics: electrostatics and magnetostatics, microscopic theory of dielectrics, electric current, electric and magnetic fields and energies, boundary value problems, and Maxwell's equations.
Pre Requisite: PHYS336 Or (MATH142 And PHYS132 )

### PHYS332 - ELECTROMAGNETISM II - 3 credits

This is a continuation of Phys 331 and it focuses on Maxwell's equations, electromagnetic waves in homogeneous isotropic media, and the theory of diffraction.
Pre Requisite: PHYS331

### PHYS333 - CLASSICAL MECHANICS - 3 credits

This is a course in the kinematics and dynamics of mass points, motion in resisting media, attenuated and forced harmonic motion, central forces, planets motion, rotating frames of reference, Lagrange's equations, and mechanics of rigid media.
Pre Requisite: PHYS131

### PHYS334 - SOLID STATE PHYSICS - 3 credits

This course introduces solid state physics which covers: crystal structure defects and dislocations, crystal diffraction and the reciprocal lattice, phonons, lattice vibrations, free electron fermi gas, energy bands, semiconductor crystals, fermi surfaces, metals and theories of conduction and magnetism.
Pre Requisite: PHYS242

### PHYS335 - ASTRONOMY - 3 credits

This course is an introduction to stellar distances, luminosities, classification of stars, variable stars, interstellar matter, the local galaxy, other galaxies, and the universe.
Pre Requisite: PHYS132

### PHYS336 - METHODS OF MATHEMATICAL PHYSICS - 3 credits

This course studies vector analysis, theory of analytic functions, special functions of mathematical physics, partial differential equations of mathematical physics and theory of matrices.
Pre Requisite: MATH142

### PHYS338 - THERMAL & STATISTICAL PHYSICS - 3 credits

The course deals with the fundamentals of thermodynamics: equation of state, heat flow, entropy, first and second laws of thermodynamics. Kinetic theory and various statistical methods will be covered with applications to gases. Prerequisite: PHYS 242
Pre Requisite: PHYS242

### PHYS339 - ADVANCED PHYSICS LABORATORY - 3 credits

This course involves advanced experiments in optical fibers; investigation of basic properties and applications as sensors and communication tools, x-ray diffraction and fluorescence, the four probe method, with emphasis on the scientific methods for the acquisition and analysis of the experimental data.
Pre Requisite: PHYS242

### PHYS343 - INTRODUCTION TO ELECTRONICS II - 4 credits

Introduction to semiconductors, diodes, rectifiers, LED, transistors will be covered. Also the properties of basic BJT and FET, in addition to CMOS, TTL and ICs. Digital and analogue amplifier stages, the operational amplifier, the fundamental concepts and circuits using standard ICs will also be investigated. The course contains 9 lab sessions with a total of 23 hours.
Pre Requisite: PHYS132

### PHYS381 - MODERN OPTICS - 3 credits

This course is a review of geometrical and wave optics, linear and circular polarization, coherence and interference, multiple-beam interferometry, Fraunhofer and Fresnel diffraction, atomic spectra, light-matter interaction, lasers, and holography.
Pre Requisite: PHYS132

### PHYS389 - PROJECTS IN PHYSICS - 1 credit

This course includes running an advance Physics experiment which varies from a student to another. Each student would be required to present his/her results in a Seminar Forum.
Pre Requisite: No prerequisite

### PHYS431 - NUCLEAR & ELEMENTARY PARTICLES PHYSICS - 3 credits

In this course the following subjects are introduced: nuclear size, concepts of spin, parity and statistics; Alpha, Beta and Gamma decay; natural radioactivity; nuclear reactions; nuclear forces; fission and fusion; properties and interactions of elementary particles and the experimental techniques.
Pre Requisite: (PHYS242 And PHYS244 )

### PHYS432 - QUANTUM MECHANICS - 3 credits

The course addresses studying fundamentals of quantum mechanics and their practical proof, particle wave mechanics and examples such as the vibration movement as well as Schrodinger's equation solutions in three dimensions.
Pre Requisite: (PHYS242 And MATH142 )

### PHYS433 - BIO-MEDICAL PHYSICS - 3 credits

Topics include production and measurement of x-rays and charged particles for nuclear medicine, interaction of radiation with biological materials, radiation Dosimetry, radiation safety, and physics of medical imaging, magnetic resonance imaging and lasers.
Pre Requisite: (PHYS381 And PHYS242 )

### PHYS434 - PLASMA PHYSICS - 3 credits

This is an introductory course in plasma physics. It consists of a description of the collisionless plasma, particle orbit theory and Vlasov equation; the dielectric tensor, and wave propagation in cold plasma. Prerequisite: PHYS 331This is an introductory course in plasma physics. It consists of a description of the collisionless plasma, particle orbit theory and Vlasov equation; the dielectric tensor, and wave propagation in cold plasma. Prerequisite: PHYS 331
Pre Requisite: PHYS331

### PHYS435 - DEVICES & APPLICATION IN SOLID STATE PHYSICS - 3 credits

This is an introductory course which involves a study of metal-semiconductor contacts; p-n junction diodes; junction transistor, physical concepts of semiconductor devices; e.g. tunnel diodes; MIS: lasers gun effect; etc.; microelectronics. Prerequisite: PHYS 242
Pre Requisite: PHYS242

### PHYS437 - THERMODYNAMICS - 3 credits

The course introduces the student to the core concepts of thermodynamic laws, entropy, free energy, thermal equilibrium laws. It discusses the relationship between the atomic structure and the different properties of materials.
Pre Requisite: PHYS242

### PHYS438 - ATOMIC & MOLECULAR PHYSICS - 3 credits

The course introduces the student to study the structure of atoms and molecules on the basis of Quantum Mechanics. One- and multi-electron atoms are studied quantum mechanically, where the effects due to spin, the fine-structure, and the hyperfine structure are also taken into consideration. Hartree-Fock and Density Functional theory will be introduced as well.
Pre Requisite: PHYS242

### PHYS439 - RELATIVITY - 3 credits

Postulates of special relativity; the Lorentz transformation; space-time vector algebra; relativistic dynamics; covariant form of electrodynamics; tensor algebra in 4-dimensional space-time: introduction to the general theory of relativity. Prerequisite: PHYS 242
Pre Requisite: PHYS242

### PHYS441 - NANOPHYSICS - 3 credits

The course aims at an introduction to basic principles of nanophysics allowing working in research and development in nanotechnology. The course will cover topics including Forces on the nanoscale level: electrostatics, van der Waals forces, Casimir force, applications to NEMS (Nano-Electromechanical Systems) and AFM (Atomic Force Microscopy). Electron tunneling and applications: tunneling spectroscopy, STM, electronic transport through quantum dots,Coulomb blockad.
Pre Requisite: PHYS242

### PHYS442 - COMPUTATIONAL PHYSICS - 3 credits

This course gives a modern introduction to the basic methods in computational physics and an overview of the recent progress in scientific computing. Many examples from recent resarch in physics and related areas are given with the fortran program listing. Basic computational tools and routines, including the ones for differential equations, spectral analysis, and matrix operations, are dealt with through relevant examples, and more advanced topics, such as Monte Carlo simulations, molecular dynamics, and quantum computing are also treated.8 Practical sessions of two hours each will be given for using software on computers.
Pre Requisite: PHYS242

Bethlehem University Foundation
Email: dc@bethlehem.edu
Phone: +1-202-526-6097
Fax: +1-202-526-6096
Washington, DC USA
Bethlehem University in the Holy Land
E-mail: info@bethlehem.edu
Phone: +972-2-274-1241
Fax: +972-2-274-4440
Bethlehem, Palestine