Topics: Linear programming, simplex method, linear programs, Duality, Complementarity, interior-point methods, conic linear programming, unconstrained problems, concave functions, convex functions, speed of convergence, quasi-newton methods, constrained minimization, penalty method, barrier method, duality method, dual method, primal-dual method

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

Topics: Waves, optics, Modern Physics, Wave-forms, Stationary Waves, Wave Speed, Transfer of Wave Energy, Wave Energy, Periodic Sound Wave, resonance, sound wave, musical note, Doppler Effect, Refraction, Law of Refraction, Apparent Depth, Total Internal Reflection, mirror, lens, Optical Formula, thin lens, Optical Instrument, Lens Aberration, Dispersive Power, atomic models, Atomic Structure, electron, atomic model, Discovery of Electron, hydorgen spectrum, Bohr's model of atom, Bohr's quantum condition, Electron Cloud Model, Wave-Particle Duality of Light, Wave-Particle Duality, X-Ray Production, Nuclear stability, Radioactivity, Ionizing Radiation, Radioactive Decay equation, half-life, Mean Life Time

Topics: sets, roster form, set builder notation, set equality, null set, subsets, comparability. theorem, universal set, power set, disjoint sets, Venn-Euler diagrams, set operations, complement, comparable sets operation, principle of duality, finite sets, cardinality, inclusion-exclusion principle

Topics: Digital Logic Circuit Analysis, Digital Logic Circuit Design, computing, digital systems, number systems, positional notation, arithmetic, binary arithmetic, octal arithmetic, hexadecimal arithmetic, base conversions, signed number representation, computer codes, numeric codes, error detection codes, correction codes, Boolean algebra, Venn diagram, Duality, switching functions, truth tables, switching circuits, electronic logic gates, combinational circuits, algebraic methods, combinational logic circuits, computer aided design, design cycle, digital circuit modelling, design synthesis, logic simulation, Karnaugh maps, Quine-McCluskey tabular minimization method, Petrick's algorithm, computer aided minimization of switching functions. Modular combinational logic, Decodes, encoders, decoder circuit structures, encoders, multiplexers, demultiplexers, data distributors, adder circuits, comparators, semi custom logic devices, logic array circuits, field-programmable logic arrays, programmable read-only memory, programmable array logic, sequential devices, sequential circuits, memory devices, latches, flip-flops, timing circuits, modular sequential logic shift registers, counters, serial adder unit, serial accumulators, parallel accumulators, multiple-sequence counters, digital fractional rate multipliers, synchronous sequential circuit models, synchronous sequential circuits, registered programmable logic device, programmable gate arrays, sequential circuit design, logic circuit testing, digital logic circuit testing, combinational logic circuit testing, sequential logic circuit testing, electronic slot machine, keyless auto entry system

Topics: number system, binary number system, octal number system, hexadecimal number system, binary addition, binary subtraction, signed numbers, complement representation, binary multiplication, floating point representation, binary codes, binary coded decimal numbers, weighted codes, self implementing codes, cyclic codes, gray code, error detecting codes, error correcting code, Hamming code, BCD addition, alphanumeric codes, Boolean algebra, logic gates, duality principle, Venn diagram, truth table, Karnaugh map, Quine – McCluskey Method, combinational switching circuits, combinational circuits, half adder, full adder, parallel binary adder, 8421 adder, BCD adder, subtractor, multiplexers, demultiplexers, code converter, encoders, priority encoder, magnitude comparator, parity generator, parity checker, programmable logic devices, Field Programmable Logic Array, Programmable Array Logic, Programmable Read Only Memory, Direct Coupled Transistor Logic, Integrated Injection Logic, transistor transistor logic, CMOS Logic, Flip flop, shift registers, counter, Asynchronous Counters, counter ICs, Digital to Analog Converter, Analog to Digital Converter, digital memory, semiconductor memory, read only memory, random access memory, magnetic memory, magnetic bubble memories, charged coupled devices, compact disk read only memory

Topics: linear programming, simplex method, duality theory, Linear Programming under Uncertainty, Algorithms for Linear Programming, Transportation and Assignment Problems, Network Optimization Models, Dynamic Programming, Integer Programming, Nonlinear Programming, Metaheuristics, Game Theory, Decision Analysis, Queueing Theory, Inventory Theory, Markov Decision Processes, Simulation

Topics: Culture Change, African Colonial Experience, Colonial Heritage, Double Consciousness, Psychic Duality, Political Nationalism, Leopold Sedar Senghor’s Theory of Negritude, Negritude, Negritude, Ujamaa Julius Nyerere, Decolonizing the Mind, Amilcar Cabral, culture

Topics: Atomic physics, Nuclear physics, WAVE-PARTICLE DUALITY OF LIGHT, PHOTOELECTRICITY, COMPTON SCATTERING

Topics: mathematical programming, linear programming, simplex method, dual simplex method, duality analysis, sensitivity analysis, integer programming, branch-and-round algorithm, cut algorithm, transportation algorithm, scheduling methods, nonlinear programming, single-variable optimization, multivarible optimization, network analysis, project planning, inventory models, forecasting, game theory, decision theory, dynamic programming, finite markov chains, markovian birth-death processes, queuing systems