Abu Zaria 100 to 500 Level Civil Engineering Courses

periodic table; chemical bonding and shape of molecules; oxidation & reduction reactions; the general concept of acids and bases; hydration and hydrolysis; and weak and strong electrolytes.

Clarifying and checking skills Interrupting skills, Signalling devices, Body language, meetings, presentation.

Pronunciation: Problems individual sounds Elements of connected speech, intonation and pitch.

Reading: Skimming and scanning, identifying main ideas, Understanding gist.
Listening: Listening for gist and specific information, Note-taking, Prediction.

Writing: understanding purpose, planning and organization, Style and register changing convections of electronic media.

Structure and Vocabulary: Overview of tense system, principles of word grammar, common idiomatic language, common transfer error Modifying techniques, hypothesis and like hood.

symmetric difference, power sets, De-Morgan theorems, inclusion-exclusion principle, elements of relations and functions); some properties of number systems (natural numbers, integers, rational, irrational and real,

order relations in the set of numbers, open and closed intervals on the number line); complex numbers (definition of a complex number, addition,

multiplication and division, geometric interpretation modules and conjugation, polar representation, De moivre’s theorem, nth roots of a complex number, nth roots of unity).

tan (A-B) and their proofs, multiple and half angles, solutions of simple trigonometric equations, factor formula,

solution of triangles heights and distances including three-dimensional problems); plane polar co-ordinates (relation between polar and Cartesian co-ordinates,

plotting and sketching of simple curve whose polar equations are known); co-ordinate geometry of lines and circles (pair of straight lines and system of circles with emphasis on concepts rather than formulae.

differentiation (first principle techniques of differentiation in general, higher derivatives); integration (integration as the inverse of differentiation, techniques of integration in general, definite integral);

Rate of change (velocity, acceleration and other rates); curve sketching (asymptotes, maxima and maxima and minima, shall increments, approximations and errors,

newton’s approximation, simple application of integration to areas and volumes); differential equations (first order differential equations only).

vectors and Scalar Quantities; projectiles; Newton laws; Conservation laws; linear Motion; Concept of Force; Elastic Collisions; Work, Energy and power;

Circular Motion; simple Harmonic motion; Motion of rigid body; Statics, Gravitational potential circular orbit, escape velocity.

Solid Friction and viscosity; Bernoulli’s law, Aerofoil; thermodynamics; EM radiation provost’s theory of heat exchange; thermal radiation detectors; optical pyrometer; Calorimetric; Thermal Expansion and Heat Transfer.

polynomial functions of third and fourth degrees, remainder theorem, location of roots, permutation and combination); notion of factorials (nPr, nCr and simple applications,

mathematical induction principle and applications); binomial theorem (expansion of all rational index, interval of convergence, approximations and errors).

differentiation and integration of vectors w.r.t. a scalar variable); dynamics (kinematics of a particle, components of velocity and acceleration of a particle moving in a plane, force, momentum, laws of motion under gravity,

projectiles, resisted vertical motion, elastic strings, simple pendulum, impulse, impact of two smooth spheres, and of a sphere and a smooth sphere).

Magnetic Effects of current; Magnetic materials; Electromagnetic Induction; Alternating currents; Planck’s constant and quanta of light energy; photoelectric effect;

Radioactivity Nuclear composition; binding energy Nuclear fission and fusion; Thermionic emission; rectification by diodes; the transistor.

lenses in contact; Newton formula; spherical and chromatic aberrations power of lenses; dispersive powers; classification of spectra. Optical instruments; Interference phenomenon Newton rings; Polarization Malu’s law; Polaroids.

Bending moment and shear force diagrams for determinate beams. Beam deflection. Framework deflections and strain energy in frames. Suspension cables. Determinate arches, stability of gravity sections.

Gas, Liquid and Solid pipelines, Preliminary Study, Principles of Design and construction Requirements, Conveyors: Principles of Design, Airports: Operational Aspects of Air Transportation,

Elements Affecting Location of Airports, Elements of Geometric Design, Ground Facilities, Earthwork, Drainage, Pavements.

L’Hospital rule; Curvature, etc; Leibritz formula. Integration: Indefinite integrals; Techniques, reduction formula; the definite integrals; Applications.

Vector Algebra (definition of vector and physical examples, addition, multiplication by scalar, scalar and vector products, triple products, components, applications in geometry);

vector analysis (Cartesian and polar coordinates in two and three dimensions) Determinants and matrices (definition and properties of a determinant, its evaluation);

matrices (addition, multiplication by scalar, product, adjoint, inverse of a non-singular matrix, rank and its evaluation); simultaneous linear equations, consistency, linear dependence, solutions); eigenvalues and eigenvectors; special matrices; symmetric, skew-symmetric, and orthogonal.

crystal structure and analysis); structure of imperfect solids (crystal defects) and equilibrium concentration, polymorphism, chain and larger structures, corrosion –inducing defects,

phase transformation and equilibrium (one –component and multi-component systems, equilibrium diagrams).

and their measurements. Hydrostatic forces on a submerged surface. Buoyancy and flotation. Fluid Kinematics. Classifications of fluid flow. Equation of continuity Bernoulli’s equation.

Fluid mass under acceleration. Forced vertex. Flow measurement. Venturimeter, orifices, mouthpieces, nozzles, pitat tube and sharp crested weirs/notches. Steady flow through pipes. Darcy weishbach equation.

Losses in pipelines, Hydraulic and energy gradient. Transmission of energy, Uniform flow in open channels. Chezy’s and Manning’s Equations.

Economical rectangular and trapezoidal cross-sections. Compressible fluids. Isothermal and adiabatic follow. Continuity and energy equations, steady flow of gasses through venturimeter and pipes.

organizing, directing and leadership (motivation, communication and leadership); control.

flanged bolt; bolt; coupling helical springs; shear and bending moments diagrams; analytical and graphical deflection; buckling; special topics. Types of stresses and strains. Load extension diagrams.

Hooke’s Law. Temperature stresses. Geometrical properties of plane areas. (Centroid. Moment of Inertia & Product of Inertia). Shearing force and Bending Movements for simply supported beams,

Cantilever and overhanging beams. Theory of simple Bending and shearing stresses in Beams. Theory of Torsion in circular shafts (solid and hollow).

Phase process, cycle, temperature scales. Definition and Units of basic system parameters. Following topics with emphasis on hydrocarbon fluids:

First Law of thermodynamics. Internal energy, enthalpy, phase rule, hear capacity, Volumetric properties of Pure Fluids, PVT Behaviour of pure substances, equation of state and correlation.

Heat Effects with and without phase Change. Second Law of Thermodynamics. Heat engine, entropy. Volumetric Properties of Multi component Fluids: PVT. Behaviour of pure substances, equation of state and correlations.

Heat effects with and without Phases change. Thermodynamics of flow in pipes, expansion and compression processes. Conversion of heat into work: Steam power plant – Internal combustion engines, auto and diesel engine.

Heat Exchangers. Types, the overall heat transfer co-efficient, log mean temperature difference, parallel flow and counter flow heat exchanger, multiphase and cross-flow heat exchanger, the effective NTU relations.

Boiling and condensation. Boiling curve for pool boiling condensation over vertical plates, empirical correlations.

Limit states. Review of physical and Civil properties of concrete and reinforcement. Safety factors. Ultimate limit state of bending.

Analysis and design of singly reinforced cores sections. Doubly reinforced cross-sections. Flanged cross-sections. Bond and anchorage. Shear and punching shear.

Analysis of three – dimensional state of strain; experimental stress analysis; strain gauges and applications. Energy theorems and applications for response of statically indeterminate structural systems.

Strength theories applied to failure of structural elements. Analysis/design of compound and composite structural elements. Theory and design of slender members.

Critical load and stresses. Euler’s theory and its limitations. Bending of curved bars and springs.

The principle of effective stress. Shear strength.

Laboratory Soil classification on the basis of index properties. Particle size analysis. Soil compaction. Constant-head permeability test. Direct shear on sand. Soil compressibility.

Insulation and finishing materials (oats, papers, rendering and plasters) for roofs, floors, underground water retaining structures and foundations.

Statement of existence theorem. Series solution of differential equation with non-singular points. Definition and properties of Bessel equation and Bessel function of the first kind.

Definition and properties of the Legendre equation, polynomials, Fourier integrals and transforms, Laplace transform and its applications to the solution of differential equations.

data classifications, frequency distributions, cumulative frequency distributions, graphical representation of data histograms,

frequency polygon, measures of probability variation and the binomial distributions, Poisson distribution, normal distribution, correlation and regression analysis.

Measure of central tendency. Measures of dispersion. Frequency distributions normal, Chi square, student’s-t, and F-distributions, estimations and hypothesis testing,

confidence intervals analysis of variance. Regression analysis. Linear-simple and multiple polynomial-power, orthogonal, non-linear, step-wise. Correlation.

Maximum moments and shear envelopes slope deflection method. Moment distribution method. Analysis of indeterminate beams and frames.

Analysis of two hinged tied and fixed arches including numerical methods. Introduction to Plastic Analysis.

Estimation of yield and collapse loads for simple beams and plane frames using virtual work methods.

Columns, axially, eccentrically, biaxially loaded, short and slender. Torsion in RC. Deep beams, short cantilevers.

Detailing and drawings of RC structures. General characteristics of steel and other metals: classification of metal structures, skeleton and shell system.

Production of steel and other metals. Advantages and disadvantages of metal products. Loading of structural steel systems. Method of analysis and design of structural elements. Structural steel connections.

computer programming to get moments, shears and using AUTOCAD to draw the details in addition to using hand to detail. Any other computer aided software for design.