Topics: economics mathematics, differentiation, integral calculus, First order difference equations, differential equations, constrained optimization-Lagrangian multiplier, linear programming, simplex method

Topics: Numerical Methods, mathematical modeling, MATLAB, mathematical operations, structured programming, errors, roundoff errors, truncation errors, total numerical errors, blunders, model errors, data uncertainty, roots, graphical methods, bracketing methods, bisection, roots, Simple Fixed-Point Iteration, Newton-Raphson, secant methods, Brent's method, MATLAB functions, optimization, linear systems, linear algebraic equations, matrices, Gauss elimination, Naive gauss elimination, tridiagonal systems, LU factorization, matrix inverse, system condition, error analysis, iterative methods, linear systems, nonlinear systems, Eugen values, power method, curve fitting, linear regression, random numbers, linear least-squares regression, polynomial regression, multiple linear regression, QR factorization, nonlinear regression, Fourier analysis, Continuous Fourier series, frequency domain, time domain, Fourier integral, Fourier transform, Discrete Fourier transform, power spectrum, polynomial interpolation, Newton interpolating polynomial, Lagrange interpolating polynomial, inverse interpolation, extrapolation, oscillations, splines, linear splines, quadratic splines, cubic spline, multidimensional interpolation, integration, differentiation, Numerical integration formulas, Newton-Cotes formulas, Trapezoidal rule, Simpson's rules, initial value problem, Runge-Kutta methods, adaptive Runge-Kutta methods, stiff systems, Boundary-value problems, shooting method, finite-difference methods, MATLAB function

Topics: Integration Techniques, Integration by parts, Trigonometric functions, Exponential functions, hyperbolic functions, Trigonometric substitutions, hyperbolic substitutions, Table integrals

Topics: Finite sequences, finite series, complex numbers, binomial theorem, quadratic function, quadratic equation, Trigonometric equations, Trigonometric functions, solution of triangles, differential calculus, differentiation, differentiation techniques, logarithmic functions, exponential functions, intefration, integral calculus, differential equations, co-ordinate geometry, straight line, parabola, ellipse, hyperbola, numerical methods, vectors

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

Topics: Partial differentiation, multiple integral, differential equations, Determinants and Matrices, Vectors, special functions, Laplace Transform, Fourier Series

Topics: Fluid Statics, Basic Equations in Integral Form for a Control Volume, Angular-Momentum Principle, Differential Analysis of Fluid Motion, Incompressible Inviscid Flow, Dimensional Analysis, Similitude, Internal Incompressible Viscous Flow, External Incompressible Viscous Flow, fluid machinery, flow in open channels, compressible flow, fluid property data

Topics: Electromechanical Systems, Power Electronics, Direct-Current Electric Machines, Motion Devices, Induction Machines, Synchronous Machines, Proportional-Integral-Derivative Control Laws, Control of Electromechanical Systems

Topics: functions, set theory, matrix, Matrices, Linear Programming, Probability, Integral Calculus, Finance, simple interest, compound interest, annuity

Topics: Number System, Inequality, Exponent, Roots, Simultaneous Equation, Quadratic Equation, Set Theory, Logarithm, Partial Derivatives, Integral Calculus, Optimization, Linear Programming