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DEPARTMENT OF ENGINEERING PHYSICS AND MATHEMATICS

Among the several departments that the Faculty contained upon its foundation, is the department of Mathematical and Physical Science. This department is responsible of teaching science courses such as Mathematics, Mechanics, Physics, Chemistry, and Descriptive Geometry to students in their preparatory year or higher. In the beginning, science graduates were allowed to join the department as teaching assistant and on completion of their Ph.D. degree they joined in as staff members. For engineering graduate students, they had to first get a B.Sc. degree in the field of Mathematics or Physics in order to continue as staff members in the department. In 1978, the department witnessed three major modifications. The first, was the changing of the department’s name to the following name: The Department of Engineering physics and Mathematics. The second modification limited the assuagement of teaching assistants to engineering graduates only. The third and final modification was the replacement of the required B.Sc. degree obtained from one of the faculties of Science by equivalent courses given in one academic year.
Field of Courses:
Physics, Mathematics, Mechanics, Descriptive Geometry, Engineering Chemistry, Geology, Applied Statistics, Dynamics and Stability Laboratories
Undergraduate Labs:
Physics Preparatory Year Lab, Physics First Year Lab, Chemistry Lab, and Mechanics Labs.
Research Labs:
Physics Graduate Lab, Applied Organic Chemistry Lab, and Applied Analytical Chemistry Lab

Course Description

Engineering Mathematics and Physics

PHM 011 Mathematics (1)
Preparatory Year: General Engineering. (Cont.)

Hrs/Week: [(4+2) + (4+2)]
Marks:[(110+40+0) + (110+40+0)] = 300

Course Contents

Differentiation and integration: Limits and continuity, Derivatives and its applications including asymptotes and curve sketching, Indefinite and definite integrals with applications to volumes, Arc length and surface area, Properties, Derivatives and integrals of transcendental functions, Techniques of integration including integration by substitutions, by parts, by partial fractions and by reduction, Mean value theorems and L'Hopital's rule, Integration and its applications in parametric and polar coordinates. Geometry and algebra: Conic sections, Analytical geometry in three dimensions including planes, Lines and surfaces of the second degree, Cylindrical and spherical coordinates, Theory of algebraic equations, Properties of the roots, Numerical methods for finding the roots, Linear algebra including the study of determinates and matrices, Systems of linear equations and eigenvalues and eigenvectors, Complex numbers including polar form, De Moivre's theorem and its applications and elementary functions of a complex variable.

References:

Thomas, G. B. and Finney, R. L., Calculus and Analytic Geometry, Addison Wesley Pub. Co., 1992.
Swokowski, E. M.; Olinick, E. and Pence, D., Calculus, PSW Pub. Co., 1994.
Anton, H., Elementary Linear Algebra, Addison Wesley Pub. Co., 1997.

PHM 021 Physics (1)
Preparatory Year: General Engineering.

(Cont.) Hrs/Week: [(4+2) + (4+2)]
Marks:[(90+30+0) + (90+30+60)] = 300

Course Contents

Properties of matter: Units and dimensions, Physical mechanics, Potential energy gradient, Circular motion, Moment of inertia, Elastic properties of materials, Hydrostatics and surface tension, Hydrodynamics and viscosity. Electricity: Vectors, Electric field, Electric potential, Capacitors and dielectrics. Electromagnetism: Magnetic field, Magnetic force, Biot-Savart law, Ampere's law, Electromagnetic induction. Heat and thermodynamics: Heat transfer, Kinetic theory of gases, First law of thermodynamics. Geometrical optics: Refraction of light, Prisms, Reflection of light, Lenses, Lens aberration.

References:

Zemansky, M. W. and Young, H. D., University Physics by F-W Sears, Addison Wesley Co., 1982.
David Halliday and Robert Resnick, Physics, John Wiley Co., 1992.

Laboratory:

Determination of thermal conductivity of a bad conductor
Determination of the coefficient of surface tension of a liquid
Determination of Young's modulus

Determination of shear modulus
Determination of the resistivity of a material (metal wire)
Determination of the power of lenses
Determination of the coefficient of viscosity of a viscous liquid
Comparison and determination of an e.m.f and R using potentiometer and meter - bridge

PHM 031 Mechanics (1)
Preparatory Year: General Engineering. (Cont.)

Hrs/Week: [(2+2) + (2+2)]
Marks:[(70+30+0) + (70+30+0)] = 200

Course Contents

Concurrent force systems and particle equilibrium: Forces, Vector algebra, Resultant of a concurrent force system, Equilibrium of a particle. Moment, Couples and force systems: Moments, Couples, System of forces (general, coplanar, parallel) and their resultants. Equilibrium of rigid bodies: Forces due to supports, Free body diagrams, Condition for static equilibrium, Static indeterminacy and partial constraints. Frames and machines: Frames, Trusses and machines. Friction: Dry friction, Sliding and tipping, Basic machines having friction (wedges, belt friction). Kinematics of a particle - rectilinear motion: kinematics of a particle, kinematical description of motion, Rectilinear motion, Freely falling bodies. Kinematics of a particle - Curvilinear motion: Rectangular components, Cylindrical components, Path variables components, Kinematical applications (projectile motion, Joint kinematical description, relative motion). Kinetics of a particle - force -acceleration method: Rectilinear motion, Curvilinear rectangular motion, Curvilinear cylindrical motion, Curvilinear intrinsic motion, Orbital motion. Kinetics of a particle -work -energy method: Work done by forces - fields and forces, gravitational force, Elastic spring force, Potential energy, Work and potential energy, The kinetic energy, Work - energy principle, Conservation of energy. Kinetics of a particle -impulse - Momentum method: Linear impulse and momentum, Impact.

References:

Beer, F. P. and Johnston, Jr., E. R., Vector Mechanics for Engineers (Statics and Dynamics), McGraw Hill, .
Hibbeler, R. C., Engineering Mechanics (Statics and Dynamics), Macmillan, .
Irving Shames, Engineering Mechanics (Statics and Dynamics), Prentice Hall, .
Meriam, J. L. and Kraige, L. G., Engineering Mechanics (Statics and Dynamics), John Wiley and Sons.

Laboratory:

Statics
Friction
Newton's second law, linear and angular momentum, kinetic energy
Free fall
Projectiles

PHM 041 Chemistry
Preparatory Year: General Engineering.

(1st Term) Hrs/Week: [(4+2) + (0+0)]
Marks:[(90+30+30) + (0+0+0)] = 150

Course Contents

Physical chemistry: Gases, Liquid state, Thermo chemistry, Thermodynamics, Solutions, Ionic equilibrium. Applied chemistry: Electrochemistry, Corrosion of metals, Water treatment, Chemistry of cements, Chemistry of polymers, Fuels combustion, Pollution and its control.

References:

Steedman, W.; Snadden, R. B. and Anderson, I. M., Chemistry for the Engineering and Applied Sciences, Pergamon International Library Pergamon Press, 1980.
Brady, J. E. and Holum, J. R., Chemistry, The Study of Matter and its Changes, John Wiley and Sons Inc., 1996.

Laboratory:

Acidic radicals
Basic radicals
Scheme for identification of simple inorganic salt
Acid Base Titrations
Total alkalinity of water samples
Total hardness of water samples
Properties of lubricating oils (Study of some instruments for characterization of physical data of lubricating oils)
Experiments of applied chemistry

PHM 111 Mathematics (2) 1st Year: Civil Engineering. (Cont.)

Hrs/Week: [(3+2) + (3+2)]
Marks:[(90+35+0) + (90+35+0)] = 250

Course Contents

Functions of several variables including limits, Continuity, Partial derivatives, Chain rule, Extreme values and laGrange multipliers, Double, Triple, Line and surface integrals, Green's theorem, Infinite series and its tests of convergence, Power series, Expansion of functions of one and several variables, Differential equations of the first order including basic concepts, Method of solving separable, Homogeneous, Exact and linear equations and by integrating factors and some applications, Differential equations of higher orders and their solutions by undetermined coefficients, Operator method and variation of parameters, Euler's equations and systems of linear equations, Solution by matrices, some applications, Fourier series, Partial differential equations including D'Alambert's and separation of variables methods for solving heat, Wave and laplace equations, Introduction to probability theory including basic concepts, Discrete and continuous random variables and probability distributions.

References:

Swokowski, E. M.; Olinick, E. and Pence, D., Calculus, PSW Pub. Co., 1994. Engineering Mathematics & Physics
Kreysig, E., Advanced Engineering Mathematics, John Wiley Pub. Co., 1998.

PHM 112 Mathematics (2)
1st Year: Electrical Engineering. (Cont.)

Hrs/Week: [(4+2) + (4+2)]
Marks:[(110+40+0) + (110+40+0)] = 300

1st Year: Mechanical Engineering. (Cont.)

Course Contents

Functions of several variables including limits, Continuity, Partial derivatives, Chain rule, Extreme values and lagrange multipliers, Double, Triple, Line and surface integrals, Green's theorem, Infinite series and its tests of convergence, Power series, Expansion of functions of one and several variables, Differential equations of the first order including basic concepts, Method of solving separable, Homogeneous, Exact and linear equations and by integrating factors and some applications, Differential equations of higher orders and their solutions by undetermined coefficients, Operator method and variation of parameters, Euler's equations and systems of linear equations, Solution by matrices, Some applications, Fourier series, Partial differential equations including D'Alembert's and separation of variables methods for solving heat, Wave and laplace equations, Laplace transform and its use in solving differential and integral equations, Dirac delta and periodic functions, Some applications to electrical circuits, Vector analysis including quantities related to scalar and vector fields, Gauss and stokes theorems and curvilinear coordinates.

References:

Swokowski, E. M.; Olinick, E. and Pence, D., Calculus, PSW Pub. Co., 1994.
Kreysig, E., Advanced Engineering Mathematics, John Wiley Pub. Co., 1998.

PHM 121 Physics (2)
1st Year: Electrical Engineering. (1st Term)

Hrs/Week: [(4+2) + (0+0)]
Marks:[(90+30+30) + (0+0+0)] = 150

Course Contents

Modern physics: Plank's theory of quantization of energy of radiation, Photo- electric effect, x-rays and compton effect, Wave properties of matter and wave function, Principles of quantum mechanics and schr?dinger equation, Atomic structure and study the tunnelling phenomenon, Quantum theory of the free electrons in metals, Statistical distribution laws, Lattice vibrations and thermal properties of solids, Super conductivity. Vibrations and waves: Simple, Damped and forced vibrations, Wave motion and acoustics, Interference, Diffraction and polarization of light.

References:

Zemansky, M. W. and Young, H. D., University Physics by F-W Sears, Addison Wesley Co., 1982.
David Halliday and Robert Resnick, Physics, John Wiley Co., 1992.

Laboratory:

Stefan's fourth power law of radiation
Photo cell
R-C circuit
Thermocouple
Meld's experiment
Measuring of wave length by diffraction grating
Newton rings
The cathode ray oscilloscope to investigate the superposition principle
Forced mechanical oscillation
The inverse square and Stefan - Boltzmann's law of radiation

PHM 122 Physics (2)
1st Year: Mechanical Engineering. (1st Term)

Hrs/Week: [(2+2) + (0+0)]
Marks:[(60+20+20) + (0+0+0)] = 100

Course Contents

Modern physics: Plank's theory of quantization of energy of radiation, Photo- electric effect, x-rays and compton's effect, Wave properties of matter and wave function, Principles of quantum mechanics and Schrodinger equation, Atomic structure and study of the tunnelling phenomenon. Vibrations and waves: Simple, Damped and forced vibrations, Wave motion and acoustics, Interference, Diffraction and polarization of light.

Zemansky, M. W. and Young, H. D., University Physics by F-W Sears, Addison Wesley Co., 1982.
David Halliday and Robert Resnick, Physics, John Wiley Co., 1992.

Laboratory:

Stefan's fourth power law of radiation
Photo cell
Thermocouple
Meld's experiment
Measuring of wave length by diffraction grating
Newton rings
Determination of the specific rotation of sugar solution
The cathode ray oscilloscope to investigate the superposition principle
Forced mechanical oscillation
The inverse square and Stefan - Boltzmann's law of radiation

PHM 131 Mechanics (2)
1st Year: Electrical Engineering. (1st Term)

Hrs/Week: [(3+2) + (0+0)]
Marks:[(90+35+0) + (0+0+0)] = 125

Course Contents

Kinematics of rigid bodies: (translational motion, rotational motion, general motion, instantaneous center of zero velocity, rolling motion). Kinetics of rigid bodies (force, acceleration method): (mass properties (center of mass and inertia), pure translational motion, pure rotational motion, general motion). Kinetics of rigid bodies (work, energy methods): (work done by a force, kinetic energy, work, energy principle, field forces, the potential energy, energy conservation principles). Kinetic of rigid bodies (impulse momentum methods): (linear impulse momentum relations, angular impulse momentum relations, impulsive forces). Introduction to Analytical Mechanics: (generalized coordinates and constraint equations, LaGrange's equations, Hamilton's equations of motion).

References:

Beer, F. P. and Johnston, Jr., E. R., Vector Mechanics for Engineers (Statics and Dynamics), McGraw Hill, .
Hibbeler, R. C., Engineering Mechanics (Statics and Dynamics), Macmillan, .
Irving Shames, Engineering Mechanics (Statics and Dynamics), Prentice Hall, .
Meriam, J. L. and Kraige, L. G., Engineering Mechanics (Statics and Dynamics), John Wiley and Sons .

Laboratory:

Center of gravity
Determination of the moment of inertia using the oscillation method
Determination of the angular velocity and the angular acceleration
Determination of the angular momentum, conservation of angular momentum
Physical Pendulum

PHM 132 Mechanics (2)
1st Year: Mechanical Engineering . (1st Term)

Hrs/Week: [(2+2) + (0+0)]
Marks:[(70+30+0) + (0+0+0)] = 100

Course Contents

Mass properties: Centroids, Center of mass, Mass moment of inertia. Kinematics of rigid bodies: Translational motion, Rotational motion, General motion, Instantaneous center of zero velocity, Rolling motion. Kinetics of rigid bodies (force, acceleration method): Pure translational motion, Pure rotational motion, General motion. Kinetics of rigid bodies (work, energy methods): Work done by a force, Kinetic energy, Work, Energy principle, field forces, The potential energy, Energy conservation principles. Kinetics of rigid bodies (impulse, momentum methods): Linear impulse momentum relations, Angular impulse momentum relations, Impulsive forces.

References:

Beer, F. P. and Johnston, Jr., E. R., Vector Mechanics for Engineers (Statics and Dynamics), McGraw Hill, .
Hibbeler, R. C., Engineering Mechanics (Statics and Dynamics), Macmillan, .
Irving Shames, Engineering Mechanics (Statics and Dynamics), Prentice Hall, .
Meriam, J. L. and Kraige, L. G., Engineering Mechanics (Statics and Dynamics), John Wiley and Sons, .

Laboratory:

Center of gravity relations, Impulsive forces.
Determination of the moment of inertia using the oscillation method
Determination of the angular velocity and the angular acceleration
Centrifugal force as a function of mass, angular velocity and radius
Determination of the angular momentum, conservation of angular momentum
Physical Pendulum

PHM 211 Mathematics (3)
2nd Year: Electrical Engineering. (Cont.)

Hrs/Week: [(3+2) + (3+2)]
Marks:[(90+35+0) + (90+35+0)] = 250

Course Contents

Functions of a complex variable including Cauchy-Riemann conditions, Conformal mappings. Complex series, Complex integral. Integration by residues and its application to real integrals. Series solution of differential equations. Special functions including gamma, Beta, Bessel and legendre functions, Bessel and legendre series. Linear programming including geometric and simplex methods with some applications. Probability and statistics including discrete and random variables, Probability functions and distributions, Statistical inference and testing of statistical hypotheses, Numerical analysis including the solution of nonlinear algebraic equations, Systems of linear and nonlinear equations, Ordinary and partial differential equations.

References:

Cheney, W. and Kincaid, D., Numerical Mathematics and Computing, Brooks, Cole Pub. Co., 1996.
Kreysig, E., Advanced Engineering Mathematics, John Wiley Pub. Co., 1998.