Mathematics
Key topics:
Algebra, matrices, complex numbers, vectors, permutations, combinations, probability, statistics, venn diagram, plane geometry, plane trigonometry, spherical trigonometry, solid geometry, straight line, circle, parabola, ellipse, hyperbola, polar coordinates, cylindrical coordinates, spherical coordinates, derivatives, maxima and minima, time rates, integrals calculus, equilibrium, friction, cable, rectilinear motion, curvilinear motion, work and energy, impulse and momentum, simple interest, compound interest, depreciation, annuities, annual investment cost and break even analysis.

Surveying and Transportation Engineering
Key topics:
Measurements of distances, errors and mistakes, missing data, subdivision of areas, stadia surveying, hydrographic surveying, mine surveying, simple curve, compound curve, reversed curve, parabolic curve, earthworks, sight distance, braking distance, accident rates and density of traffic.

Hydraulics
Key topics:
Properties of fluids, Boyle's Law, hydrostatic forces on plane and curves surfaces, hoop tension, dams, buoyancy, stability of floating bodies, relative equilibrium of fluids, rotating vessel, Bernoulli's theorem, turbines and pumps, Venturi meters, Reynold's number, pipes series and parallel, pipe network, nozzle, reservoir problems, water hammer, orifice, weirs, open channels, critical depth, critical velocity and critical slope of channels, hydraulic jump, Froude number and hydrodynamics.

Geotechnical Engineering
Key topics:
Soil composition, classification of soils, compaction of soils, flow of water in soils, permeability, seepage, flow nets, stresses in soil, compressibility of soil, shear strength of soil, lateral earth pressure, soil bearing capacity, slope stability, braced sheathings, capacity of piles, drilled piles, group of piles and settlement of piles.

Structural Engineering
Key topics:

1. Rational and Applied Mechanics
resultant of concurrent forces, force system in space, friction, cables, centroid of areas, projectile, rectilinear motion, curvilinear motion, impulse and momentum, work and energy.

2. Strength of Materials
axial stresses and deformation, thermal stresses, torsional stresses, shear and moment diagram, bending and shearing stresses, Mohr's circle, moment and product of inertia, moving loads.

3. Theory of Structures
determinacy of beams and trusses, deflection of beams, integration method, area moment method, consistent deformation method, conjugate beam method, analysis of frames, moment distribution method, three moment equation method, slope deflection method, virtual work method, influence line portal method and cantilever method.

4. Timber Design
bending and shearing stresses, analysis of purlins, axially loaded columns, bending with axial tension, bending with axial compression, notching, bolted connections, composite beams and laminated beams.

5. Structural Steel Design
riveted and bolted connections, welded connections, tension members, laterally supported beams, laterally unsupported beams, tension with bending, compression member axially loaded, compression with bending, base plates and bearing plates.

6. Reinforced Concrete Design
beams reinforced for tension, beams reinforced for compression, analysis of T-beams, web reinforcement, axially loaded tied and spiral columns, columns subjected to axial and bending, wall and column footings.

7. Construction Methods
Project Evaluation Review Techniques,  Project Bidding (PD 1594) and Estimates.

8. Construction Methods
Project Evaluation Review Techniques,  Project Bidding (PD 1594) and Estimates.