Topics: Soil mechanics, Soils basic characteristics, Soils nature, Particle size analysis, fine soils plasticity, Soil description, Phase relationships, Soil compaction, Seepage, Soil water, Permeability, Seepage theory, Flow nets, Anisotropic soil conditions, Non-homogenous soil conditions, Transfer condition, Grouting, Frost heave, Effective stress, effective stress principle, Partially saturated soils, Shear strength, Shear failure, Shear strength tests, Sands shear strength, Saturated clays Shear strength, Pore pressure coefficients, Stresses, displacements, Elasticity, Plasticity, Stresses from elastic theory, Displacement from elastic theory, Lateral earth pressure, Rankine's theory of earth pressure, Coulomb's theory of earth pressure, Gravity walls, Embedded walls, Braced excavations, Diaphragm walls, Reinforced soil, Slopes stability, Plane translational slip analysis, long-term stability, Embankment dams, Ground investigation, Borehole logs, Geophysical methods, Ground contamination

Topics: Simple stress, simple strain, Shear stress, Saint-Venant's principle, Stress, strain, Modulus of elasticity, Modulus of Rigidity, Bar elongation, Superposition principle, Tapering section Bars, Elongation due to self-weight, Uniform strength column, Statically indeterminate systems, Temperature stresses, Shrinking on, Strain analysis, Tensile test diagram, Elastic constants, Three-Dimensional stress systems, Compound stress, compound stress, Principal stresses, Maximum shear stresses, Mohr's Stress cycle, Three coplanar stress, Ellipse of Stress, Strain Analysis, Principal Strain, Principal shear strain, Mohr's Strain cycle, Strain Energy, Shear force, Bending moment, Supports types, Bending stress in beams, Simple bending theory, Moment of inertia, Flitched beams, composite beams, Unsymmetrical bending, Ellipse of inertia, Shear stress in beams, Shear stress variation, Built-up beams, Shear centre, Deflection, Beam differential equation, Deflection at a point, Macaulay's method, Moment-Area method, Strain energy due to bending, Castigliano's First theorem, Deflection by castigliano's Theorem, Impact loading on beams, conjugate beam method, Betti's reciprocal deflections theorem, Maxwell's Reciprocal Deflection theorem, Fixed beams, Continuous beams, Fixidity Effects, Clapeyron's three moment equation, Torsion, Springs, Columns, Struts, Failure Theories, Plastic bending, Plane frame structures, Materials properties, Materials testing, Tensile testing, Compression testing, Torsion testing, Hardness testing, Impact testing, Fatigue testing

Topics: Complex numbers, Factorization of a complex numbers, Additive Inverse of a Complex Number, Conjugate of a complex number, Argand Plane, De Moivres Theorem

Topics: Basic surveying, surveying, Geodetic surveying, plane surveying, surveying instruments, chain surveying

Topics: algebra, numbers, fractions, inequalities, cartesian plane, vector algebra, linear equations, trigonometry, trigonometric rations, trigonometric graphs, Pythagorean Identities, functions, Exponential Functions, Absolute Value Function, rational functions, root functions, Piecewise Defined Functions, limits, continuity, Horizontal Asymptotes, differential calculus, Derivative Functions, Tangent Line Problems, chain rule, Euclidean Geometry, Spherical Trigonometry

Topics: System modelling, Time domain analysis, Closed - loop control systems, classical design in the S-plane, Classical design in the Frequency domain, Digital control system design, classical design

Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities

Topics: Crystal Structures, Unit cells, crystal systems, Symmetry, Lattice planes, Miller indices, carbon graphite, inorganic chemistry, crystalline solids

Topics: Electromagnetic Model, Vector analysis, Static electric field, Electrostatics, steady electric current, static magnetic fields, Varying Fields, Maxwell's Equations, Plane Electromagnetic Waves, Theory and Applications of Transmission Lines, Waveguides, Cavity resonators, Antennas, Radiating system

Topics: Electromagnetic Model, Vector analysis, Static electric field, Electrostatics, steady electric current, static magnetic fields, Varying Fields, Maxwell's Equations, Plane Electromagnetic Waves, Theory and Applications of Transmission Lines, Waveguides, Cavity resonators, Antennas, Radiating system