Differentiation: Function (definition – theorems) –
Basic functions (Trigonometric and their inverse –
Exponential – Logarithmic – Hyperbolic and their inverse) –
Limits (definition – theorems) – Continuity (definition –
theorems) – Derivative (definition – theorems – types –
higher orders) – Applications on the derivatives
(mathematical – Engineering) – Indeterminate forms – Taylor
series – Maclaurin series – Approximation.
Algebra:
Mathematical induction – Binomial theorem with any exponent
and its applications – Partial fractions – General theory of
Equations – Numerical solution techniques (Iterative –
Newton – Modified Newton – Secant – False position) –
Matrices – System of linear algebraic equations – Guess
elimination method – Vector Algebra.
Integration:
Indefinite integrals (basic functions – theorems) –
Integration methods (direct – indirect – using tables) –
Definite integrals (definition – properties – theorems) –
Applications on definite integrals (plane areas – volume of
revolution – length of a plane curve – surface area of
revolution) – Numerical Integration.
Analytic Geometry:
Quadratic equations – Second order equation representing to
straight lines – Coaxial circles – Translation and rotation
of axes – Conic sections (properties of conic sections –
Parabola – Ellipse – Hyperbola) – Coordinates (Cartesian –
Cylindrical – Spherical) – Representation of vectors in
space – Plane Equation – Equations of a straight line in
space – Sphere – Surface of revolution.
Thermodynamics:
temperature, heat quantity and the first law of
thermodynamics – the zeroth law of thermodynamics –
temperature measurements - Heat expansion – heat quantity –
heat absorption by solids and liquids – the first law of
thermodynamics – the methods of heat transfer and the
kinetic theory of gases – ideal gases – molecular velocity
distribution – molecular specific heat – degrees of freedom
and its relation with the specific heat – the entropy and
the second law of thermodynamics – some thermal processes –
reversible and irreversible processes – the change in the
entropy – the second law of thermodynamics – Carnot cycle –
the absolute scale of temperature – the basics of heat
engines – the basics of conditioning machines – practical
experiments. Electric Current and Magnetism:
The electric current and the electrical resistance: the
electric current – the electric current density – the
electrical resistance – Ohm's law – electric power –
semiconductors – direct current circuit – electromotive
force – voltage drop – Kirchhoff's rules – multi-loops
circuits – The magnetic fields: the field definition – the
magnetic force on a conductor carrying current – magnetic
field sources – Biot-Savart law – Ampere’s law –
electromagnetic induction: Faraday’s law – Lenz's law –
inductance – magnetic energy – mutual induction – Magnetic
properties of matter and Maxwell’s equations – Gauss' law
for magnetism – diamagnetic materials – paramagnetic
materials – ferromagnetic materials – the generalization of
Amperes’s law – Maxwell’s equations – practical
applications.

Vector algebra – Vectors in space – Equivalence –
Equilibrium of particles and rigid bodies in two and three
dimensions – Friction.
Particle Kinematics: Motion
referenced to Cartesian, Polar and Self coordinate systems –
Relative motion.
Particle Kinetics: Force and
equation of motion – Motion in straight line – Simple
harmonic motion – Curved motion including circular and
projectile motions and centrifugal motion – General motion –
Motion of variable-mass particle.
Work and Energy: Principle of work and energy – Conservation
of mechanical energy – Impulse and Impact (elastic and
inelastic) – Momentum.
Gaseous state – Thermo chemistry – Material and thermal
balance in combustional processes – Liquid state – Solutions
– Thermochemistry – Colrosion – Chemical equilibrium – Ionic
equilibrium - Water treatment – Air pollution – Selected
chemical industries (Cement – Oils and Lubricants – Polymers
– Semiconductors).
Uses of geometric tools – Geometric constructions and
geometric pictorial – Orthogonal projection on two
perpendicular planes – (Monge's projection) – Representation
of: point, Straight line and plane – Auxiliary projection –
Position problems – Metric problems – Representation of
polyhedra and their plane section –
Development of: pyramid, prism,
cone, Cylinder and connecting pieces – Representation of:
circle, sphere, cone and cylinder and their plane sections –
Representation of: a helical curve, projection of oblique
axonometry – Isometric projection, dimensioning.
Rolled sections and steel beams used in steel constructions
– Column and connecting steel – Introduction to civil and
architectural drawing – Different sections of machine – Uses
of computer in engineering drawing.
IND
006: Production Technology (2+2):
Production cycle –
Introduction to industrial engineering – Engineering
material – Characteristics and properties of materials –
Metal forming processes: Casting, Forging, Rolling, Drawing
and Extrusion – Joining processes: Riveting, Welding –
Machining processes: Manual cutting, Mechanical turning,
Shaping, Drilling, Milling and Grinding – Measuring
processes: Length and Angle measurements – Engineering
standard.
Concepts of a computer
language – Program development cycle – Basics of high level
programming language (example from BASIC- Visual BASIC –
FORTRAN – JAVA - ….. etc.) – Steps of problem solving using
the computer: Concept of an "algorithm" – Translating
problems from algorithm to program code – Compilation and
execution of programs. Differentiating between variables and
constants and their different data types – primitive data
types in a programming language – Analysis of methods to
define variables and the differences in scope - Analysis of
problems to develop logical approaches for solving problems
– Basic arithmetic operations and functions – Syntax of the
expressions and assignment statements – Use and syntax of
input/outputs statements in a programming language –
Relational and logical operators in a programming language –
Use and syntax of the selection statements – Use and syntax
of repetition statements – Use of Lists and arrays in a
programming language – Use of subprograms and functions in a
programming language – Use of animation and graphics –
Computer applications to solve problems in engineering and
science.

Pattern of technical English
sentences – Sentence structure – Passages covering various
engineering specializations – Developing the four language
skills (listening – conversation – reading – writing) –
composition.

Definition of art, science
and engineering technology – development of civilization and
their relationship with natural sciences and humanities –
history of technology and different branches of engineering
– historical interrelation between science and technology –
relationship between engineering evolution and the social,
economic and civilizational development of the environment –
examples of evolution of engineering activities.
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