Topics: Mechanics, matter, measurement, vectors, kinematics, simple harmonic motion, rotational dynamics, fluid dynamics

Topics: statics, force, pulley, dynamics, projectile, simple harmonic motion

Topics: cell concept, microbial classification, Eukaryotic protists, protozoa, Virus, plant science, biotechnology, plant taxonomy, Bryophyta, pteridophyte, plant tissues, animal cell, animal taxonomy, Arthropoda, phyla Mollusca, Echinodermata, Annelida, segmented worms, animal tissues, epithelia, connective tissues, biochemistry, pH, buffers, simple hydrocarbons, aldehydes, ketones, fatty acids, organic compounds, carbohydrates, sugars, starch glycogen, cellulose, lipids, nucleic acids, amino acids, proteins

Topics: analytic geometry, vectors, elementary dynamics, straight line equations, circle coordinate geometry, circle tangents, orthogonal circles, coaxial circles, conic sections, parabola, ellipse, hyperbola, conic parametric equations, Cartesian coordinate representation, vector addition, vector scalar product, particle kinematics, rectilinear motion, pulleys, projectile motion, simple harmonic motion, impulsive motion

Topics: measurement, dimension, vectors, scalars, linear kinematics, dynamics, work, energy, power, conservation of linear momentum, dynamics of circular motion, dynamics of rotational motion, Rotational Kinetic Energy, Law of Conservation of Angular Momentum, Parallel Axis Theorem, center of gravity, moment, Oscillation, simple harmonic motion, Elastic Potential Energy, elasticity, Bulk Modulus, mechanics of fluid, density, Pascal’s principle, Capillarity, Atmospheric Pressure, pressure, Archimedes’ principle, surface tension, unit conversion, Parallelogram Law of Vectors

Topics: Classical Optimization Techniques, Linear Programming, Simplex Method, One-Dimensional Minimization Methods, Nonlinear Programming, Geometric Programming, Dynamic Programming, Integer Programming, Stochastic Programming, Optimal Control, Optimality Criteria Methods, Convex Functions, Concave Functions

Topics: Applied Mechanics, force, force systems, free body diagrams, resultant force, moments, Varignon’s Theorem, centre of gravity, centroid, Moment of Inertia, friction, Screw Friction, rectilinear motion, Velocity-Time Graphs, Displacement-Time Graphs, laws of motion, impulse, D’alembert’s Principle, work, power, energy, simple machine, Weston’s Differential Pulley Block, circular motion, Centrifugal force, Centripetal Force, curvilinear motion, stress, strain, Hooke's law, tensile test, Strain Hardening, Poisson’s Ratio

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method

Topics: Statistics, probability Distribution, Continuous Random Variables, Probability Distributions, Hypothesis, Testing Difference, SAMPLING THEORY, population, Population Parameters, Sampling Parameters, Sampling Distribution, Estimators for Mean Variance, Frequency Distribution, Chi-Square Test, T-test, F-test, Regression Analysis, Simple Linear Regression Analysis

Topics: Applied Econometrics, Econometrics, Economic Data, Basic Data Handling, Simple Regression, Classical Linear Regression Model, Multiple Regression, Multicollinearity, Heteroskedasticity, Autocorrelation, Misspecification, Wrong Regressors, Measurement Errors, Wrong Functional Forms, Dummy Variables, Dynamic Econometric Models, Simultaneous Equation Models, Limited Dependent Variable Regression Models, Time Series Econometrics, ARIMA Models, Box–Jenkins Methodology, ARCH model, GARCH model, Vector Autoregressive Models, Causality Tests, Non-Stationarity Tests, Unit-Root Tests, Cointegration, Error-Correction Models, Solving Models, Panel Data Econometrics, Panel Data Models, Dynamic Heterogeneous Panels, Non-Stationary Panels, Econometric Software