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: DCC circuit theory, Nodal Analysis, Mesh analysis, superposition theorem, Thevenin’s theorem, Norton’s theorem, maximum power transfer, capacitor, inductor, transformer, filter, semiconductor, transistors, Operating Amplifier, Oscillator

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: Integration, definite integral, increasing function, decreasing function, stationary points, maximum point, minimum point, application of integration

Topics: property rights, functional ownership, renewable and non renewable resources, maximum sustainable yield

Topics: mathematics, indices, logarithm, surd, positive square root, polynomials, partial fraction, quadratic equations, maximum value, minimum value, alpha functions, beta functions, simultaenous linear equation, binomial theorem, complex number, Arithemetic progression, geometric progression

Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations

Topics: Electrical engineering, Electric Circuit, resistance, resistivity, series, parallel networks, potential divider, capacitors, inductors, electrostatic field, electric field strength, capacitance, capacitors, electric flux density, permittivity, dielectric strength, inductance, DC circuit theory, Kirchhoff's law, Thevenin's theorem, Norton’s Theorem, Maximum Power Transfer Theorem, alternating voltages, alternating currents, rectification, complex numbers, transient, Laplace Transforms, digital electronics, semiconductors, semiconductor diodes, bipolar junction transistor, Metal-oxide Semiconductor Field-effect Transistors, Gallium Arsenide Semiconductors, Light-emitting Diodes, Analog Electronics, Operational Amplifier, circuit simulation, interfacing, Microcontrollers, Microprocessors, Power Electronics, signals, signal processing, filter design, bandpass filter, notch filter, Switched Capacitor Filter, Monolithic Switched Capacitor Filter, Communications Systems, Analog Modulation Techniques, Digital Modulation Techniques, electromagnetics, Electromagnetic Spectrum, Microwave Techniques, magnetic fields, Electromagnetic Transients, Electromagnetic Interference, Traveling Wave Effects, transformers, Electromagnetic Compatibility

Topics: complex numbers, complex variable, analytic functions, line integrals, entire functions, analytic functions, simply connected domains, residue theorem, Contour Integral Techniques, conformal mapping, Riemann mapping theorem, maximum-modulus theorem, harmonic functions, analytic continuation, gamma functions, zeta functions

Topics: algorithm design, algorithm analysis, Algorithm Efficiency, Algorithm Efficiency analysis, Brute Force, Exhaustive Search, Decrease-and-Conquer, Divide-and-Conquer, Transform-and-Conquer, Space and Time Trade-Offs, Dynamic Programming, Greedy Technique, Iterative Improvement, Algorithm Power, Algorithmic Problem Solving, Nonrecursive Algorithms mathematical analysis, recursive Algorithms mathematical analysis, Selection Sort, Bubble Sort, Sequential Search, Brute-Force String Matching, Closest-Pair Problems, Convex-Hull Problems, depth-First Search, Breadth-First Search, Insertion Sort, Topological Sorting, Variable-Size-Decrease Algorithms, Decrease-by-a-Constant-Factor Algorithms, binary search, Mergesort, quicksort, Binary Tree Traversals, Strassen’s Matrix Multiplication, Gaussian Elimination, presorting, Balanced Search Trees, Heaps, Heapsort, Horner’s Rule, Binary Exponentiation, Problem Reduction, B-Trees, hashing, Knapsack Problem, Optimal Binary Search Trees, Warshall’s Algorithm, Floyd’s Algorithm, Prim’s Algorithm, Kruskal’s Algorithm, Dijkstra’s Algorithm, Huffman Trees, huffman Codes, Simplex Method, Maximum-Flow Problem, Stable Marriage Problem, Lower-Bound Arguments, Decision Trees, Numerical Algorithms, Backtracking, Approximation Algorithms