Time domain analysis: Transients in electrical circuits - RL, RC and RLC circuits, DC and AC circuits, switched capacitor circuits, conservation of charge, passive filters, resonance in networks, magnetic circuits and magnetically coupled circuits.

Laplace domain analysis: Laplace transform basics, initial and final value theorems, properties of Laplace transforms, initial value problems, applications of Laplace transforms for networks solving

Two-port networks, graph theory and network synthesis.

Time Complexity Analysis: Big-Oh, Big-Omega, and Big-Theta notations. Data Types and Abstract Data Types (ADTs):Various types of ADTs such as List, Set, Queue, Circular Queue, Trees, Graphs, etc.2-3 Trees, Red-Black Trees, Binary Trees, Search Trees, N-ary Trees. Graph Traversals and Searching:BFS (Breadth-First Search), DFS (Depth-First Search), Spanning Tree, Minimum Spanning Tree, Paths, Shortest Paths, TSP (Traveling Salesman Problem). Data Structures for Maintaining Ranges, Intervals, and Disjoint Sets with Applications.

Selection of materials – structure of solids, crystal structure – defects in crystals, free energy concept – alloying – principles of solidification – phase diagrams – concept of heat treatment – properties of materials, mechanical, electrical, thermal and optical properties – testing of materials – semiconductor materials – ceramics, synthesis and processing – polymers, classification, mechanism of formation, structure property relations, characterization – composites, classification, factors influencing properties, processing.

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.

Description of essential features of aircraft, rocket and spacecraft structures – type of loads on flight structures – bending, shear and torsion of open and closed thin-walled beams – monocoque, stiffened plate, isogrid and sandwich constructions – idealization and stress analysis of typical aerospace structural components – pressurized structures – stress discontinuities – effects of cut-outs – effects of boundary conditions in open and closed section beams – structural fatigue.

Panel methods – unsteady potential flows – compressible flow over wings – axisymmetric flows and slender body theories – flight vehicle aerodynamics – rotor aerodynamics – low Reynolds number aerodynamics – flapping wings – two- and three-dimensional flow separation.

Fundamental aspects of structural dynamics – free vibration and modal representation of flexible structures – application to beam extension, shear, bending and torsion dynamics – static aeroelasticity – wind tunnel models – divergence and aileron reversal – Lifting surfaces: torsional divergence and load redistribution, aeroelastic tailoring – aeroelastic flutter – stability characteristics – Flutter analysis: wind tunnel models – flexible wings.

Radiation Heat Transfer: fundamentals – view factors – network method and enclosure analysis for gray – diffuse enclosures containing transparent media – engineering treatment of gas radiation.

Two Phase Flow: fundamentals – flow patterns – basic equations for homogeneous flow and the separated-flow model

Boiling Heat Transfer: pool boiling – forced convective – cross flow – multicomponent boiling – correlations for boiling coefficient – critical heat flux

Fluid kinematics – physical conservation laws – review of integral and differential formulations – Navier-Stokes and energy equations – solution of Navier-Stokes equations; steady and unsteady flows – waves in fluids (potential flow formulation) – boundary layer theory; Blasius solution, Falkner-Skan solutions, momentum integral approach – introduction to turbulent flows.

Introduction to the design process – requirements capture – design optimization.

Aircraft Design: design considerations for civilian and military aircraft – weight estimation – airfoil and geometry selection – thrust to weight ratio and wing loading – initial sizing – propulsion – landing gear and subsystems – aerodynamics – stability, control, and handling qualities – flight mechanics and performance issues – aircraft layout and configuration – structural aspects – constraint analysis.

Introduction to rocket propulsion systems – rocket propulsion engines – types of rocket nozzles and thrust vector control – propellants – combustion in rocket engines – parameters for chemical rockets – elements of liquid propulsion systems – thrust chambers – turbo pumps – non conventional propulsion techniques – solid rocket motors – grain configuration – hybrid rockets – rocket testing and performance evaluation – selection of rocket motors.

Introduction to optimization – linear programming – duality and sensitivity analysis – integer programming – nonlinear programming – unconstrained optimization – constrained optimization: equality and inequality constraints – optimality conditions and optimization approaches – nontraditional optimization approaches – applications in aerospace engineering.