Topics: Business Statistics, Measurement of Variables, Measurement of Dispersion, Skewness, Kurtosis, Decision Analysis, index number, statistical data, sample, sampling theory, estimation theory, Correlation Theory, Goodness of Fit, Pearson’s Correlation Co-efficient, Spearman’s Regression Analysis, Ordinary Lease Square Estimation, Regression, Multiple Regression Analysis, statistical test, Chi-Square Distribution, ANOVA, Forecasting, Time Series Analysis

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: Linear Algebra, Matrix algebra, matrix multiplication, Equivalent Systems, Elementary Operations, Gaussian Elimination, Echelon Matrices, Row Canonical Form, Row Equivalence, Matrix Formulation, Elementary Matrices, LU Decomposition, vector spaces, Linear Combinations, spanning sets, Full Rank Factorization, Least Square Solution, linear mappings, Cauchy–Schwarz Inequality, Gram–Schmidt Orthogonalization, determinants, diagonalization, Eigenvalues, Eigenvectors, Cayley–Hamilton Theorem, canonical forms, linear functionals, dual space, bilinear form, quadratic forms, Hermitian Form, linear operators

Topics: statistics, probability, inference, sampling distributions, regression, multiple regression, analysis of variance, logistic regression, nonparametric rank tests

Topics: Thermodynamics, steady-flow equation, working fluid, reversible process, polytropic process, heat engine, entropy, exergy, heat engine cycle, carnot cycle absolute temperature scale, constant pressure cycle, air standard cycle. Otto cycle, diesel cycle, dual combustion cycle, combustion, fuels, combustion equations, enthalpy, power plant thermal efficiency, steam cycles, rankine cycle, gas turbine cycles, nozzles, jet propulsion, rotodynamic machinery, reciprocating internal-combustion engines, engine output, engine efficiency, supercharging, refrigeration, heat pumps, reversed heat engine cycles, vapour-compression cycles, gas cycles, psychrometry, air-conditioning, heat transfer, conduction equation, conduction, convection, heat exchangers, black-body radiation, combined cycles

Topics: Linear Algebra, Algebra of Matrices, matrix, Determinants, Matrix Inverse, Systems of Linear Equations, Vector Space, linear equation, Subspaces of Vector Spaces, Rank of a Matrix, Linear Transformations, Linear Transformation, Homogeneous Systems of Linear Equations, Non-Homogeneous Systems of Linear Equations, Eigenvalue, Eigenvector, Minimal Polynomial, Matrix Polynomial, Companion Matrix, Similar Matrix, Diagonal Matrix, Triangular Matrix

Topics: Engineering Thermodynamics, Work, Heat Transfer, Thermodynamic properties, temperature, Law of Thermodynamics, Non-Flow Processes, Constant volume process, Constant pressure process, Polytropic process, Adiabatic process, Isothermal process, Flow Processes, Nonsteady-flow processes, Boiler, condenser, Throttling, Reciprocating compressor, Cycle efficiency, Reversibility, irreversibility, Exergy, Gibbs function, steady-flow system, Properties of Fluids, Vapour Power Cycles, carnot cycle, rankine cyclel, reheat cycle, regenerative cycle, economiser, air preheater, steam cycles, Gas Power Cycle, gas turbine cycle, Closed-cycle gas turbine, Intercooling, reheating, Combined gas, steam cycles, Reciprocating engine cycles, Heat Pump, Refrigeration Cycles, Reversed Carnot cycle, Practical refrigeration cycles, Water refrigerator, Absorption refrigerators, Gas cycles, Hygrometry, psychrometry

Topics: Polynomials, rational functions, linear equations, simultaenous equation, quadratic equations, remainder theorem, factor theorem, inequalities, domain range, partial fractions, curve sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, telescoping series, limits, sums to infinity, complex numbers, Aragand diagram, De Moivre's theorem, matrices, determinants, rank of a matrix, Cramer's rule, sets, vennn diagram, binary operations, real number systems

Topics: grain size, particles, water, air, stress in soil, stress in a layer, Darcy's law, permeability, groundwater flow, flotation, flow net, well, stress strain relations, tangent modulus, one-dimensional compression, analytical solution, numerical solution, consolidation coefficient, creep, sheer strength, triaxial test, shear test, pore pressure, stress path, elastic stresses, deformation, boussinesq, newmark, flamant, layered soil, lateral soil, rankine, coulomb, earth pressure, sheet pile wall, limit analysis, strip footing, prandtl, bearing capacity, infinite slope, slope stability, soil exploration, model test, pile foundations

Topics: Data Handling, Correlation, Regression, Multiple Regression, Qualitative Choice Models, Distributed Lag Models, Univariate Time Series Analysis, Autocorrelation Function, Time Series Regression, Financial Volatility, Autoregressive Conditional Heteroskedasticity, Granger Causality, Vector Autoregressions, Limitations, Extensions