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Engineering Mathematics and Physics
MTH 001A Mathematics (1) (4+2) Algebra: Mathematical Induction - Binomial theorem (with any exponent and applications) - Partial Fractions - Theory of Equations - Numerical methods (simple iteration - Newton’s method - Modified Newton’s method - Secant method - False position method) - Matrices - System of linear equations - Gauss elimination method - Vector Algebra. Differential Calculus: Function (definition - theorems) - Basic functions (Trigonometric functions and inverse trigonometric functions - exponential and logarithmic functions - Hyperbolic and inverse hyperbolic functions) - limits (definition - theorems) - Continuity (definition - theorems) - Derivative (definition - theorems - types - higher orders) - Applications on derivatives (Mathematical and Engineering applications) - Indefinite forms - Taylor and Maclaurine theorems - Approximation.
MTH 001B Mathematics (1) (4+2) Analytic Geometry: Equations of second degree - Equation of a pair of straight lines - Systems of coaxial circles - Translation and rotation of axes - Conic sections (properties of conic sections - parabola - ellipse - hyperbola) - Cartesian, cylindrical and polar spherical coordinates - methods for representing a vector in space - Equation of plane - Equations of straight line in space - Equation of sphere and surfaces of revolution. Integral Calculus: Indefinite integral (Basic functions - Theorems) - Methods of integration (Direct - indirect - using tables) - Definite integral (Definition - Properties - theorems) - Application on definite integral (plane area - volume of revalution - length of a plane curve - area of surfaces of revolution) - Numerical Integral.
MTH 002 Introduction to Computer and Programming (2+2) Computer Systems: 40% (Introduction - Computer devices: Input - Output - CPU - Auxiliary units) - Programs - Processing programs - Applied programs) - Manipulating problems and their solution (Algorithms 40%) - Applied programs 20%. MTH 003 Descriptive Geometry - 1st Semester (2+2) Orthogonal projection - Representation of point, Straight line, and plane - Position problems - Metric problems - Auxiliary projection - Polyhedra - Circle and sphere - Cylinder and cone - Plane sections of surfaces - Development of surfaces - Interections of surfaces of revolutions.
MTH 111 Mathematics and Statistics (4+2) The object of this course is to give the student an introduction to statistics and computers which enable the student to study and analyze the data and readings of architectural problems. An Introduction to Statistics: Study elements of probability - Concept of random variable - Distribution functions - Estimation - Confidence tests - An introduction to computer science: Compments of computer - Concepts of programs and languages used - Introduction to linear programming.
MTH 112-1 Mathematics (3) (4+2) Partial Differentiation - Ordinary and Partial differential equations and their applications - Series - Multiple Integrals - Laplace transform - Fourier Transform.
MTH 112-2 Mathematics (4) (4+2) Numerical Differentiation and Integration - Matrices - Curve fitting and Interpolation - Numerical Solutions of ordinary and Partial Differential Equations - Numerical solutions of algebraic and nonalgebraic equation in one unknown and many unknowns.
MTH 113 (A&B) Mathematics (2) (8+4) Series - Harmonic Analysis - Differential Equations - Curvature - Partial Differentiation - Series Solution of differential equations - Curve fitting and Interpolation - Multiple Integrals - Vector Analysis - Theory of Probability.
MTH 116-1 Differential and Integral Calculus (3+1) Partial differentiation - Multiple Integration - Infinite Series - Expansion of functions in power series - Fourier Series.
MTH 116-2 Vector Calculus (3+1) Analytical Geometry in Three Dimensions. Applications of Vector Algebra in Solid Geometry. Complex Numbers. Theory of Equations. Numerical Algorithms for obtaining real roots of Algebraic Equations. Introduction to plane Differential Geometry. Divergence and Stokes theorems. Transformation of coordinates. Special functions.
MTH 117 (A&B) Mathematics (2) (4+2) , (2+2) Partial differentiation - Solid Geometry - Multiple Integrals - Expansion of Functions - Fourier Analysis and Fourier Transform - Ordinary differential equations and their applications - Laplace Transform.
MTH 118-1 Differential equations (3+1) Formulation of differential equations - Graphical solutions of differential equations - Method of series expansion - Laplace Transforms - Boundary and Initial value problems - Partial Differential Equations.
MTH 118-2 Linear Algebra (2) (3+1) Matrices - Functions of linear matrices - Formulation of equations in matrix form - Quadratic formulas.
MTH 119A Mathematics (2) (3+2) Differential equations - Partial differentiation - Infinite series.
MTH 119B Mathematics (2) (3+2) Multiple Integrals - Fourier series - Curve fitting and Interpolation - Numerical solutions of partial differential equations using normal solution - System of linear and nonlinear equations.
MTH 120A Mathematics (2) (3+2) Integral and differential calculus : Partial differentiation - Ordinary differential equations - Multiple integrals - Infinite series - Expansion of functions in power series - Fourier series.
MTH 120B Mathematics (2) (2+2) Algebra and Analytic Geometry: Solid Geometry (lines - planes - quadratic surfaces) - Vector Algebra in Solid Geometry - Complex numbers - Theory of equations - Numerical solutions for finding roots - Curvature - Curve Fitting and Interpolation - Fourier Series.
MTH 124 (A&B) Mathematics (2) (3+1) Multiple integrals - Line and Surface integrals - Pertial differentiation and applications - Infinite series - Expansion of functions in power series - Fourier series - First order and first degree (Higher degree) differential equations and applications - Linear differential equations and applications - Curve fitting and interpolation - Solution of O.D.E. in series - Special functions (Gamma - Bessel - Legndre).
MTH 125 (A&B) Mathematics (2) (2+4) , (2+2) Sets - Groups - Series - Expansion of functions - Inequalities - Fourier series - Fourier Integral - Laplace Transform - Partial differentiation - Differential equations - Multiple Integrals.
MTH 213 (A&B) Mathematics and Computer (5+4) Mathematics: Laplace transform - Special functions - Partial differential equations - Matrices - Functions of complex variables. Computer: Components of computer - Flow chart - Introduction to FORTRAN and BASIC languages.
MTH 216-1 Linear Algebra (2+1) Vector spaces subspaces - Linear transformations and matrices - Systems of linear equations : conditioning and error analysis - Exact solution using direct methods - Iterative methods - Least squares approximate method for over determined systems - The Eigenvalue problem - Solution of a system of O.D. Equ. - The Jordan Canonical Form - Tensors of 2nd order - Introduction to linear programming.
MTH 216-2 Ordinary Differenrial Equations (3+2) Ordinary differential equations: First order, higher orders, Analytic methods of solution. Numerical solutions of ordinary differential equations. Functions of a complex variable - Analytic functions - Integration of complex functions and Cauchy’s Theorems - Conformal mapping - Fourier, Laplace Transformation - Calculus of Variations & an introduction to finite elements.
MTH 217 Mathematics (3) (4+2) Complex variables - Matrices - Linear systems - Eigenvalue problem - Linear differential equations system - Linear algebra.
MTH 218-1 Numerical Analysis (3+1) Simultaneous linear algebraic equations - Inverse of a matrix - Nonlinear algebraic equations - Eigenvalues and Eigenvector problems - Curve fitting and Interpolation - Numerical Differentiation - Numerical Integration - Numerical solutions of ordinary differential equations.
MTH 218-2 Probability and Statistics (3+1) Sequence of random variables - Domain of correlation - Linear mean - Quadratic estimation - Some standard distributions - Sampling and statistics for random variables - Statistic estimates - Regression Analysis.
MTH 219A Mathematics (3) (2+2) Some methods of solving ordinary differential equations - Special functions (Gamma and Beta functions - Errors function - Bessel functions) - Laplace transforms - Differential equations of second degree and methods for solution.
MTH 219B Mathematics (3) (2+2) Numerical methods for solving equations - Theory of probability - Statistics - Applications.
MTH 221A Mathematics and Statistics (4+2) Differential equations of second order - Special functions - Partial differential equations and Engineering applications - Matrices - Fourier transform - Laplace transform - Numerical Solutions of ordinary and partial differential equations - Numerical differentiation and integration - Numerical methods for solution of algebraic equations and nonalgebraic equations - Finite differences solution.
MTH 221B Mathematics and Statistics (2+2) Statistics: Assembly and representing of numerical information - Sparse measures - Curvature - Principles of Probability - Principal distribution functions (Continuous - Normal - Binomial - Exponential - Poisson) - Axiom Tests - Confidence limits - Curve fitting - Correlation and Regression - Expectation - Variance Analysis.
MTH 222 Mathematics (3) (4+2) Differential equations of second order - Partial differential quations and Engineering applications - Matrices - Laplace transforms - Numerical Analysis - Application and use of computer.
MTH 223 Mathematics and Statistics (4+2) Differential equations of second degree - Special functions - Use of partial differential equations in Engineering applications - Matrices - Laplace transform - Fourier Transform - Statistics: Sample theory - Curve fitting - Correlation and Regression - Variance theory - Probability - Sets - Random Variables - Distribution functions - Mathematical prediction.
MTH 224 Mathematics (3) (2+1) Laplace transform - Hankel transform - Fourier Integral - Partial differential equations - Functions of complex variables - Matrices - Numerical methods for ordinary differential equations.
MTH 225 Theory of Probability and statistics (4+2) Theory of probability - Conditional probability - Distribution functions - random variables - Continuous and discrete distribution functions - Introduction to statistics - Statistical measures - Statistical analysis.
MTH 316 Probability and Statistics (4) Theory of Probability - Methods of programming.
MTH 317 Mathematics (4) (3+1) Theory of probability - Theory of sets - conditional probability - Random variables - Distribution functions - Functions of random variables - Continuous and discrete distribution functions - Special functions: Gamma and Beta functions - Error function - Bessel functions- Partial differential equations - Introduction to methods of solution by finite differences - Discrete Mathematics.
MTH 325 Numerical analysis (4+2) Matrices - Error estimate - Applications of numerical methods in matrix algebra - Linear equations - Roots of polynomials - Curve fitting and interpolation - Ordinary and partial differential equations - Numerical integration.
PHY 001A Physics (1) (4+3) Electricity : Charge and matter. The electric field, Gauss’s law and applications. The electrostatic potential and applications. Electrical insulators and capacitors. Properties of Matter : Units and dsimensions of physical quantities. Gravitation and its applications. Hydrostatics, fluid dynamics, and viscosity. Elasticity, waves in elastic media, and sound waves.
PHY 001B Physics (1) (4+2) Magnetism : The electric current, electrical resistance, and electromotive force. The magnetic field, Biot-Savart law, and Amperes’s law. Inductance, magnetic induction, and Faraday’s law. Magnetic properties and materials. Introduction to Maxwell’s equations and their applications. Thermodynamics : Some basic definitions. Kinetic theory and molecular degrees of freedom. First law of thermodynamics and polytropic processes, Second law of thermodynamics, entropy, cycles, and applications. Phise transitions. Heat transfer.
PHY 112 Physics (3) (4+2) Physical Optics : Nature and propagation of light. Waves and their properties. Interference, diffraction, and polarization of light - Applied Physics : Photoelesticity. Ultrasonics. Nuclear physics.
PHY 113 Physics (2) (3+2) Optics : Nature and propagation of light. Waves and their properties. Interference, diffraction, polarization, and scattering of light. Optical techniques for measuring speeds and particle sizes. Acoustics : Sound waves and sound intensity. Beats and Doppler’s effect. Reflection, refraction, and diffraction of of sound. Ultrasonics and applications in measurements and testing.
PHY 116 Physics (2) (3+2) Waves : Oscillations. Waves in elastic media and acoustic shock waves. Electromagnetic oscillations. Maxwell’s equations. Electrostatic Analogues. Optics : Fermat principle and geometrical optics. Wave optics. Vision mechanisms. Modern Physics Concepts : Light and quantum physics. Lasers and some other special topics.
PHY 117 (A&B) Physics (2) (4+2) , (2+2) Optical Physics : Interference, diffraction and polarzation of light. Electro-optical and magneto-optical effects. Introductory Modern Physics : Electron emission. Bohr’s theory. Wave/particle duality. Heisenberg’s uncertainty principle. X-ray diffraction and spectroscopy. Physical Properties of Materials : Properties of magnetic materials, insulators, metals, and semiconductors.
PHY 118-1 Physics (3) (3+1) Electromagnetic Spectrum - Physical Optics - Waves & Light - Introduction to Modern Physics (Relativity - Quantum Physics & Mechanics - Laser - Super conductivity).
PHY 118-2 Physics (4) (3+1) Dynamics of rigid bodies in planer motion - Center of mass - Moment of Inertia - Equation of motion of rigid bodies (linear & angular) - gravity fields of bodies.
PHY 119A Physics (2) (2+2) Modern Physics : Atomic structure and atomic interaction. Photons and electrons. The atomic nucleus and radioactivity.
PHY 119B Physics (3) (2+2) Optics : Interference, diffraction, and polarization of light. Electro-optical and magneto-optical effects. Sound ultrasonics.
PHY 120A Physics (2) (3+2) Physical Optics : Interference, Diffraction, and polarization of light. Electromagnetics : The electrostatic field and the displacement vectors. The electric potential. Insulators and capacitance. Magnetostatic fields produced by permanent magnets and steady currents. Magnetic circuits. Inductance and electromagnetic induction. Simple electric and resonant circuits. Introductory Modern Physics : Electron emission and the photoelectric effect. Bohr’s theory. Particle/wave duality and de Broglie’s wavelength. X-ray and spectroscopic analysis. Postulates of quantum mechanics. The periodic table of the elements. Natural radioactivity and nuclear reactions. Nuclear energy. Particle accelerators.
PHY 120B Physics (2) (2+2) X-ray Physics : Nature and spectrum of X-ray. X-ray absorption. X-ray detectors. X-ray diffraction by crystals, practical techniques, and equipment (cameras and monochromatic sources). Applications of ultrasonics. Crystallography : Principles of structural metallurgy. Bravis lattices and their symmetries. Direction and planes of the unit cell. Symmetry groups. Spherical, orthographic, and stereographic projections. Applications.
PHY 124 (A&B) Physics (2) (2+2) Optics and vision - Optics and microscopy - Quantum optics - Lasers - Surface tension and lungs - fluid flow and viscosity - Diffusion and osmosis - Radiations and radiobiology - Electricity and nervous system - Sound and ultrasonics.
PHY 125 Physics (2) (4+2) Electromagnetic fields and waves. The electromagnetic spectrum. Electron emission. Wave/particle duality. Properties of magnetic materials, insulators, metals, and semiconductors.
MEC 001 A Mechanics (1) (2+2) Vector algebra and its application to solid geometry - force and resultant of a system of forces in space - moments of forces and couples - the equivalent force - couple systems - the wrench - equilibrium of a particle - equilibrium of a rigid body subjected to: i) coplanar forces, ii) system of three dimensional forces and couples.
MEC 001B Mechanics (1) (2+3) Kinematics of a particle : displacement, velocity and acceleration of particle in cartesian, intrinsic and polar coordinates - applications on rectilinear and curvilinear motion - Kinetics of a particle : Newton’s laws of motion - applications on circular motion of a particle, projectiles, rectilinear oscillatory motion of a particle, gravitational forces and satellites - the principle of work and kinetic energy - conservation of mechanical energy theorem - principle of linear impulse and momentum for a particle and application on collision of particles.
MEC 112 Mechanics (3) ( 4+2 ) Planar kinematics of a rigid body - centre of mass - moments of inertia-planar kinetics of a rigid body: linear and angular equations-applications of the equations of motion of rigid body translation,rotation about a fixed axis, and general plane motion-the principle of work and kinetic energy - conservation of mechanical energy theorem-principle of impulse and momentum for a rigid body -introduction to vibrations.
MEC 113A Mechanics (2)( 3+2 ) Planar kinematics of a rigid body:centre of mass - moments of inertia-planar kinetics of a rigid body: linear and angular equations of motion -applications of the equations of motion of rigid body translation, rotation about a fixed axis, and general plane motion - the principle of work and kinetic energy - conservation of mechanical energy theorem-principle of impulse and momentum for a rigid body. MEC 116 Mechanics (2) (4+2) Kinematics of rigid bodies in plane motion. Linear momentum equations and translational motion. Angular momentum equations and general motion. Conservation of energy and momentum. Impulse motion. Kinematics of rigid body in space motion. Gyroscopic motion and Euler angles.
MEC 119 Mechanics (2) (2+2) Centre of gravity - Moment of Inertia - Rigid body Kinematics - Rigid body dynamics - Equations of motion - Energy conservation law - Momentum - Work , Power and Impact .
MEC 119A Mechanics (2) (4+2) Planar kinematics of a rigid body - centre of mass - moments of inertia - planar kinetics of a rigid body : Linear and angular equations of motion - applications of the equations of motion of rigid body translation, rotation about a fixed axis, and general plane motion - the principle of work and kinetic energy - conservation of mechanical energy theorem - principle of impulse and momentum for a rigid body - hydrostatics.
MEC 120A Mechanics (2) (3+2) Planar kinematics of a rigid body : types of motions (translation, rotation about a fixed axis and general plane motion) - relative general plane motion analysis of a rigid body : velocity and acceleration - instantaneous centre - centre of mass of linear, areal and volumetric mass distributions - moments and products of inertia for all mass distributions - principal axes and moments.
MEC 120B Mechanics (2+2) Planar kinetics of a rigid body : linear and angular equations of motion - applications of the equations of motion of rifid body translation, rotation about a fixed axis, and general plane motion - the principle of work and kinetic energy - conservation of mechanical energy theorem - principle of impulse and momentum for a rigid body.
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