ECU 201: ENGINEERING MATHEMATICS VI

Definition of Statistics: Data collection; Data presentation techniques, Distribution functions including, Gaussian, Binomial, Poisson, Normal, Gamma, student's and F distributions normal and distributions, ChiSquare Distribution. Sampling: Sampling errors, Estimation of population parameters. Correlation: Simple linear correlation coefficient, Regression coefficient, Forecasting, Determination coefficient. Definitions of Probability, Axiomatic Probability; Conditional, Probability and Independent Events; Bayes Theorem; Concept of Random Variable; Univariate Probability Distributions; Expected Value and Variance; Conditional Probability Distributions; Trans-formation; Probability Generating Function, Characteristic Function, Moment Generating Function; Some Special Discrete and Continuous Probability Distributions.

EEE 212: MECHANICS OF MACHINES

Strength of materials: Forces, stress and shear stress, strain and shear strain: Types of loading: compression, tension, torsion and bends: Concentrated and distributed loads and bending moments in straight beams: Cantilevers: Simple supported beams: Points of infection: Graphical construction of bending moment diagrams: Stresses in beams pure bending of a rectangular beam: Bending a beam about a principal axis: Two axes of symmetry, one axis of symmetry: Elastic section modulus: Principal second moment of inertia combined bending forces. Introduction to mechanisms: Kinetics and kinematics of rigid bodies and plane mechanisms: Vibration and vibration damping: Power transmission: Gears application in power transmission; types of gears and tooth profiles; screw threads; types and construction; belts and pulleys; chain and sprockets.

ECU 202: ENGINEERING MATHEMATICS VII

Differential Equations and their Solutions: First Order and First Degree Differential Equations: Exact differential equations and integrating factors; Separable and homogeneous equations, Linear equations: Applications of First Order and First Degree Differential Equations: Geometrical problems, Surfaces and curves in three dimensions, Orthogonal trajectories, Oblique trajectories. Higher Order Linear Differential Equations and Applications: Second order linear equations, characteristic equation and complex roots; non-linear equations and separation of variables; Laplace, Poisson, heat and wave equations, methods of the solution by separation of the variables for Cartesian, spherical polar and cylindrical polar coordinates: Linear Systems of Differential Equations.

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