Introduction to combustion, thermochemistry – mass transfer – chemical kinetics, reaction mechanisms – modeling of reactors – laminar premixed flames – detonation – laminar diffusion flames – droplet combustion – introduction to turbulence – turbulent premixed flames – combustion instability – combustion diagnostics – solid combustion.
Time complexity analysis. Big-Oh, Big-Omega, and Big-Theta notations.
Data Types, ADTs, Various types of ADTs such as List, Set Ques, circular queue, trees, graphs etc. 2-3 tree, red-black trees, binary trees, search trees, n-ary trees.
Graph traversals, searching on graph, BFS, DFS, Spanning Tree, Minimum Spanning Tree, paths, shortest paths, TSP.
Data structures for maintaining ranges, intervals and disjoint sets with applications.
Binary heap, binomial and fibonacci heaps, skip lists, Hashing, universal hashing, integer sorting algorithms with analysis.
Introduction and importance of Engineering Graphics – sheet layout and free-hand sketching – lines, lettering and dimensioning – geometrical constructions – engineering curves – orthographic projection – first angle and third angle projections – projection of points, straight lines and planes – projection of simple solids – sections of solids – development of surfaces – isometric projection – introduction to AutoCAD – creation of simple 2D drawings.
Electricity: curvilinear coordinates– conservative vector fields and their potential functions Gauss’ theorem, Stokes’ theorem – physical applications in electrostatics – electrostatic potential and field due to discrete and continuous charge distributions – dipole and quadrupole moments– energy den- sity in an electric field– dielectric polarization – conductors and capacitors– electric displacement vector – dielectric susceptibility.
Test sylbs
Electricity: curvilinear coordinates– conservative vector fields and their potential functions Gauss’ theorem, Stokes’ theorem – physical applications in electrostatics – electrostatic potential and field due to discrete and continuous charge distributions – dipole and quadrupole moments– energy density in an electric field– dielectric polarization – conductors and capacitors– electric displacement vector – dielectric susceptibility.
Vector Calculus: scalar and vector fields – level surfaces – directional derivatives, gradient, curl, divergence
– Laplacian – line and surface integrals – theorems of Green, Gauss, and Stokes.
Sequences and Series of Functions: complex sequences – sequences of functions – uniform convergence of series – test for convergence – uniform convergence for series of functions.
Equations of Motion: rigid body dynamics, coordinate transformation, Euler angle & quaternion formulation – Dynamics of Generic Fixed Wing Aircraft: 6-DoF equations of motion, linearized equations of motion, linearised longitudinal & lateral equations, aerodynamic derivatives – LTI sys- tem basics – Stability of Uncontrolled Motion: linearized longitudinal & lateral dynamics, modes of motion – Response to Control Inputs: transfer function, step response & frequency response charac- teristics – Feedback Control: stability augmentation, PID control, root-locus technique for co
Vector Calculus: scalar and vector fields – level surfaces – directional derivatives, gradient, curl, divergence – Laplacian – line and surface integrals – theorems of Green, Gauss, and Stokes.
Sequences and Series of Functions: complex sequences – sequences of functions – uniform convergence of series – test for convergence – uniform convergence for series of functions.
DC Circuit Analysis: Network Theorems - Thevenin’s theorem, Norton’s theorem, Superposition theorem, Maximum power transfer theorem.
AC Circuit Analysis: Basic concepts of AC circuits – RMS value and average value – Behavior of resistor, capacitor and inductor in AC circuits – Sinusoidal steady state analysis of AC circuits – Power – Power factor - Resonance in AC circuits.
Introduction To Magnetic Theory
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