Topics: Engineering economy, engineering process, debt capital, equity, interest, interest formula, time value of money, cash flows over time, single payment compound amount factor, single-payment present-worth factor, equal-payment-series compound-amount factor, present-worth factor, functional notation, interest-formula relations, arithmetic gradient series factor, uniform-gradient-series factor, nominal interest rates, effective interest rates, capital-recovery factor

Topics: real numbers, rule of algebra, limits, continuity, derivatives, differentiation formula, Taylor series, Partial derivatives, maxima, minima, Lagrange multiplier, complex numbers, ordinary differential equations, linear differential equations, operator notation, linear operators, linear dependence, Wronskians, Laplace transforms, vector analysis, vector algebra, Jacobians, Orthogonal curvilinear coordinates, Fourier series, Dirichlet conditions, orthogonal functions, Fourier integrals, Fourier transforms, Gamma function, beta function, error function, exponential integral, sine integral, cosine integral, Fresnel sine Integral, Fresnel cosine Integral, Bessel function, Legendre functions, Legendre differential equation, Hermite polynomials, Laguerre polynomial, sturm-Liouville systems, heat conduction equation, vibrating string equation, complex variables, conformal mapping, Cauchy-Riemann equations, Cauchy's theorem, Laurent's series, conformal mapping, complex inversion formula, matrices, Cramer's rule, determinants, Euler's equation, Hamilton's principle

Topics: Basic arithmetic, Fraction, decimal, percentage, ratio proportion, power, roots, indices, units, algebra, transposing formulae, simultaneous equations, quadratic equation, Logarithms, exponential function, straight line graph, logarithmic scales, angles, triangles, trignometry, trignometric wave forms, cartesion co-ordinate, polar co-ordinate, circle, volume, surface area, vector, probability, differentiation, integration, number sequence, binary, octal, inequality, Direct proportion, Inverse proportion, Standard form, Engineering notation, Metric conversion, Basic operations, Factorisation, Laws of precedence

Topics: Engineering Mathematics, Algebra, power, logarithms, polynomials, linear equations, polynomial equations, binomials, binomial expansions, sigma notation, factorials, combinations, partial fractions, trigonometry, Trigonometric identities, Trigonometric functions, exponential functions, differentiation, Newton–Raphson iterative method, integration, complex numbers, hyperbolic functions, determinants, matrices, eigenvalues, eigenvectors, Cayley–Hamilton theorem, vector, vector representation, sequences, infinite series, curves, curve fitting, Asymptotes, Systematic curve sketching, Correlation, partial differentiation, reduction formulas, approximate integration, integration application polar coordinate systems, multiple integrals, first-order differential equations, homogenous equations, Laplace transform, probability, Conditional probability, Probability distributions, Continuous probability distributions

Topics: Karl Landsteiner, AB0 blood grouping system, Blood group A, Blood group B, Blood group AB, Blood group 0, Rh factor blood grouping system, Blood group notation, Blood transfusion

Topics: Algorithms, Insertion sort, analyzing Algorithms, designing Algorithms, growth of functions, asymptotic notation, maximum-subarray problem, Strassen’s algorithm, Probabilistic Analysis, Randomized Algorithms, hiring problem, Indicator random variables, Heapsort, heaps, heapsort algorithm, Priority queues, quicksort, Radix sort, Counting sort, Bucket sort, Data Structures, Hash Tables, has function, open addressing, Perfect hashing, Data Structures, sorting order statistics, Binary Search Trees, Red-Black Trees, Augmenting Data Structures, Dynamic Programming, Greedy Algorithms, Amortized Analysis, B-Trees, Fibonacci Heaps, van Emde Boas Trees, Graph Algorithms, Minimum Spanning Trees, Single-Source Shortest Paths, All-Pairs Shortest Path, maximum flow, Multithreaded Algorithms, Matrix Operations, linear programming, polynomials, Number-Theoretic Algorithms, String Matching, Computational Geometry, NP-Completeness, Polynomial time, Approximation Algorithms

Topics: problem solving, programming, arithmetic, array, I/O concept.functions, control structures, characters, complex, logical, derived types, pointers, subroutines, modules, data structuring in FORTRAN, algorithm, big O notation, operator over loading, generic programming, Parameterised Derived Types, Object Oriented Programming, submodules, parallel programming, message passing interface, openMP, coarray FORTRAN, C interop, IEEE arithmetic, derived type I/O, sorting, searching, handling missing data, graphic libraries, Abstract Interface, Procedure Pointer

Topics: self-adjoint operators, Eigen function expansion, simple model system, linear algebra, BRA-Ket notation, formal developments, harmonic oscillators, coherent state, quantum mechanics, angular momentum, stationary perturbations, perturbation theory, scattering off potentials, density of state, time-independent perturbation, perturbation, path integrals, polarizability tensor, electromagnetic coupling, Lagrangian field theory, Non-relativistic Quantum Field Theory, Maxwell field, relativistic quantum fields, spinor QED

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem