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Courses
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.
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:
# Physics Lab
- Determination of thermal conductivity of a bad conductor
- Determination of the coefficient of surface tension of a liquid
- Determination of Young's modulus
# Engineering Mathematics & Physics
- 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:
Mechanics Lab
- 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:
Chemistry Lab
- 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:
Physics Lab
- 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:
Physics Lab
- 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:
Mechanics Lab
- 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:
Mechanics Lab
- 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.
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