Topics: artificial intelligence, equational logic programming, equational logic programs, paramodulation

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: Fluid Mechanics, hydraulic machines, viscosity, compressibility, bulk modulus, surface tension, capillarity, vapor pressure, cavitation, Pascal's law, manometers, Piezometer, differential manometer, isothermal process, buoyancy, flotation, meta-center, fluid flow, continuity equation, velocity, acceleration, velocity potential function, stream function, equipotential line, Vortex flow, ideal flow, potential flow, momentum equation, free liquid jets, orifices, mouthpieces, notches, weirs, viscous flow, turbulent flow, Reynolds experiment, dimensional homogeneity, model analysis, dimensionless numbers, Boundary layer flow, compressible flow, Mach number, Jet propulsion, hydraulic machines, turbines, Pelton wheel, Radial flow reaction turbines, Francis turbine, axial flow reaction turbine, Draft tube, specific speed, unit quantities, centrifugal pumps, cavitation, maximum suction lift, net positive suction head, reciprocating pumps, air vessels, fluid system, hydraulic press, hydraulic accumulator, hydraulic intensifier, hydraulic ram, hydraulic lift, hydraulic crane, hydraulic coupling, hydraulic torque converter, air lift pump, gear-wheel pump

Topics: Linear Inequalities, quadratic Inequalities, Quadratic Functions, Quadratic Equations, cubic equations

Topics: numerical analysis, number system, interpolation, Fixed-Point Iteration, Polynomial Equations, Real Roots, Complex Roots, Müller’s Method, Triangular Factorization, Determinants, Eigenvalue Problem, Backward-Error Analysis, determinants, Unconstrained Optimization, approximation, data fitting, Orthogonal Polynomials, Fast Fourier Transforms, Piecewise-Polynomial Approximation, differentiation, integration, numerical differentiation, numerical integration, Romberg Integration, Simple Difference Equations, Boundary Value Problems

Topics: Calculus, Analytic Geometry, real numbers, real line, coordinates, functions, shifting graphs, trignometric functions, rates of change, limits, continuity, tangent lines, derivative of a function, differentiation rules, rates of change, chain rule, derivatives, implicit differentiation, rational exponents, extreme values of functions, mean value theorem, first derivative test, optimization, linearization, differentials, Newton's method, integration, indefinite integrals, differential equations, initial value problems, mathematical modelling, Riemann sums, definite integrals, mean value theorem, fundamental theorem, numerical integration, cylindrical shells, application of integrals, work, fluid pressure, inverse functions, natural logarithms, transcendental functions, L'Hopital's rule, inverse trignometric functions, hyperbolic functions, first order differential equations, Euler's numerical method, Integration formulas, integration by parts, integral tables, infinite series, power series, Maclaurin series, Taylor series, conic sections

Topics: indices, Logarithms, Indicial Equations, Logarithmic Equations, surd, radicals

Topics: functions, combining functions, trigonometric functions, exponential functions, inverse functions, logarithms, limit, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, inverse trigonometric functions, related rates, linearization, differentials, mean value theorem, monotonic functions, applied optimization, integrals, transcendental functions, hyperbolic functions, integration, trigonometric integrals, trigonometric substitution, numerical integration, improper integrals, infinite sequences, infinite series, integral test, comparison test, absolute convergence, power series, Taylor series, Maclurin series, parametric equations, polar coordinates, vectors, dot product, cross product, vector-valued functions, partial derivatives, saddle points, multiple integrals, vector fields, Euler equations

Topics: pipe velocity profile, Hagen-Poiseuille equation, hydrostatics, Buoyancy, fluid momentum, conservation of mass, Continuity Equation, fluid flow

Topics: Finite Difference Method, Second Order Differential Equations, Finite Difference Approximation, Partial Differential Equations