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: stored programme concept, data representation, instruction format, addressing mode, instruction sets, memory hierarchy, methods of direct access, buses, ports

Topics: nature of petroleum, rocks, rotary drilling hydraulics, petroleum exploration methods, cable tool drilling, rotary drilling, coring, core analysis, logging, drill stem testing, well completion

Topics: Petroleum Production System, Properties of Oil, Properties of Natural Gas, Reservoir Deliverability, Wellbore Performance, Choke Performance, Well Deliverability, Forecast of Production, Production Decline Analysis, Well Tubing, Separation Systems, Artificial Lift Methods, Sucker Rod Pumping, Gas Lift, Well Problem Identification, Matrix Acidizing, Hydraulic Fracturing

Topics: PROBLEM FORMULATION, OPTIMIZATION THEORY, OPTIMIZATION METHODS, APPLICATIONS OF OPTIMIZATION, HEAT TRANSFER, ENERGY CONSERVATION, SEPARATION PROCESSES, FLUID FLOW SYSTEMS, CHEMICAL REACTOR DESIGN, CHEMICAL REACTOR OPERATION, INTEGRATED PLANNING SCHEDULING, OPTIMIZATION OF UNCONSTRAINED FUNCTIONS, UNCONSTRAINED MULTIVARIABLE OPTIMIZATION, LINEAR PROGRAMMING, NONLINEAR PROGRAMMING, MIXED-INTEGER PROGRAMMING, GLOBAL OPTIMIZATION

Topics: Probability, statistics, Random Variables, Probability Distributions, Mathematical Expectation, Special Probability Distributions, Sampling Theory, Estimation Theory, Curve Fitting, Regression, Correlation, Analysis of Variance, Nonparametric Tests, Bayesian Methods

Topics: measurement methods, signals, measurement system behavior, probability, statistics, uncertainty analysis, sampling, digital devices, temperature measurement, pressure measurement, velocity measurement, flow measurement, strain measurement, metrology, motion, force, power

Topics: measurement methods, signals, measurement system behavior, probability, statistics, uncertainty analysis, sampling, digital devices, temperature measurement, pressure measurement, velocity measurement, flow measurement, strain measurement, metrology, motion, force, power, mechatronics, sensors, actuators, controls

Topics: Software Project Management, Requirements Engineering, Software Design, Software Development, Configuration Management, Software Inspections, Software Testing, Supplier Selection, Supplier Management, Software Quality Assurance, Software Metrics, Problem-Solving, Software Reliability, Software Dependability, formal methods, formal specification language, unified modelling language, software process improvement, capability maturity model integration, software engineering tools, agile methodology, miscellany of innovation

Topics: simplex method, degeneracy, duality theory, primal simplex method, Lagrangian duality, sensitivity analysis, parametric analysis, implementation issues, convex analysis, game theory, regression, structural optimization, interior-point methods, central path, Lagrange multipliers, path-following method, KKT system, affine-scaling, method, integer programming, quadratic programming, convex programming, Markowitz model