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: Machine Arithmetic, Real Numbers, Machine Numbers, Rounding, Condition Numbers, Approximation, Interpolation, Least Squares Approximation, Polynomial Interpolation, Spline Functions, Numerical Differentiation, Numerical Integration, Nonlinear Equations, Iteration, Convergence, Efficiency, Method of False Position, Secant Method, Newton’s Method, Fixed Point Iteration, Algebraic Equations, Systems of Nonlinear Equations, Initial Value Problems for ODE, One-Step Methods, Numerical Methods, Euler’s Method, Taylor Expansion, Runge–Kutta Method, Error Monitoring, Step Control, Stiff Problems, Multistep Methods, Adams–Bashforth Method, Adams–Moulton Method, Predictor–Corrector Method, Two-Point Boundary Value Problems for ODEs, Initial Value Technique, Finite Difference Methods, Variational Methods

Topics: Languages, regular expression, text searching, grammars, automata, languages, Chomsky normal form, finite automata, deterministic finite automata, Myhill-Nerode theorem, homky, undecidability, Rice's theorem, Mu-recursive functions, numeric computation, incomputable functions, linear-bounded automata, computational complexity, linear speedup, Hamiltonian circuit problem, polynomial-time reduction, satisfiability problem, complexity class relations, optimization problems, approximation algorithms, approximation schemes, space complexity, deterministic parsing

Topics: Computer Algorithms, pseudocode conventions, recursive algorithms, performance analysis, randomized algorithms, primality testing, elementary data structures, binary search trees, cost amortization, prority queues, sets, graphs, graph representation, merge sort, quick sort, Strassen's matrix multiplication, convex hull, greedy method, knapsack problem, tree vertex splitting, prim's algorithm, dynamic programming, reliability design, backtracking, graph coloring, least cost search, algebraic problems, fast Fourier transform, lower bound theory, comparison trees, ordered searching, Cook's theorem, approximation algorithms, absolute algorithms, polynomial time approximation schemes, mesh algorithms, packet routing, hyper algorithms, PPR routing

Topics: approximation of functions, dynamic programming, state space analysis, interpolation, linear programming

Topics: data, Measure of central tendency, error, approximation, skewness, kurtosis, index number

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

Topics: computer simulation, probability, conditional probability, discrete random variables, conditional probability, mass functions, Discrete N-Dimensional Random Variables, Conditional Probability Density Functions, Continuous N-Dimensional Random Variables, Moment Approximations, limit theorem, MATLAB, random process, Wide Sense Stationary Random Process, linear system, Gaussian Random Process, Poisson Random Process, markov chains

Topics: Quantum Behavior, Particle Viewpoints, Probability Amplitudes, Identical Particles, Spin One, Spin One-Half, Hamiltonian Matrix, Ammonia Maser, Two-State Systems, Hyperfine Splitting, Crystal Lattice, Semiconductors, Independent Particle Approximation, Symmetry, Conservation Laws, Angular Momentum, Hydrogen Atom, Periodic Table, Operators, Schrodinger Equation, Superconductivity

Topics: Motion, Probability, Gravitation, Dynamics, Momentum, Vector, force, work, Electromagnetism, Differential Calculus, Vector Fields, Vector Integral Calculus, Electrostatics, Gauss Law, Electric Field, Electrostatic Energy, Dielectrics, Electrostatic Analogs, Magnetostatics, Magnetic Field, Vector Potential, Induced Current, motor, generator, transformer, inductance, induction, maxwell equation, Principle of Least Action, AC Circuit, Cavity Resonator, Waveguide, Electrodynamics, Lorentz Transformation, Field Energy, Field Momentum, Electromagnetic Mass, Tensors, Refractive Index, Magnetism, Ferromagnetism, Magnetic Materials, Elasticity, Elastic Materials, Curved Space, Quantum Behavior, Particle Viewpoints, Probability Amplitudes, Identical Particles, Spin One, Spin One-Half, Hamiltonian Matrix, Ammonia Maser, Two-State Systems, Hyperfine Splitting, Crystal Lattice, Semiconductors, Independent Particle Approximation, Symmetry, Conservation Laws, Angular Momentum, Hydrogen Atom, Periodic Table, Operators, Schrodinger Equation, Superconductivity