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Welcome! We are here to help you prepare and pass the university semester exam
This course is great for undergraduate engineering students who feel a little lost in their subjects
We start from scratch, establish the basics and build from there.
More advanced engineering students who want a refresher or didn't quite grasp the fundamentals for the first time around would also benefit from this course.
If you're about to start an engineering program, this course is a great way to get a head start.
If you're a structures genius already, this course is probably not for you.
In this course, we'll cover fundamental concepts and Starting with the very basics to advance, worked examples are used extensively to demonstrate the practical application of theory.
This course is exclusively designed for the examination conducted by universities in different streams for the semester examination (Civil, Mechanical, Electrical, Computer Science, Information Science & Chemical Engineering). The total duration of the course is variable and the classes are conducted either live or recorded lectures. During classes, the students will be provided with exposure to the latest syllabus and pattern of the examination with a core focus will be to enhance concepts of topics that are covered in the examination syllabus. Special emphasis will be laid on improving the problem-solving ability of the students by providing complimentary test series to the enrolled students in the course.
I Atomic and Molecular Structure: Molecular orbitals of diatomic molecules. Band theory of solids. Liquid crystal and its applications. Point defects in solids. Structure and applications of Graphite and Fullerenes. Concepts of Nano-materials and their application.
II Spectroscopic Techniques and Applications: Elementary idea and simple applications of Rotational, Vibrational, Ultraviolet& Visible and Raman spectroscopy.
III Electrochemistry: Nernst Equation and application, the relation of EMF with thermodynamic functions (∆H, ∆F and ∆ S). Lead storage battery. Corrosion; causes, effects and its prevention. Phase Rule and its application to the water system.
IV Water Analysis; Hardness of water, Techniques for water softening (Limesoda, Zeolite, Ion exchange resin and Reverse osmosis method). Fuels: classification of fuels, Analysis of coal, Determination of calorific value (Bomb calorimeter and Dulong’s methods).
V Polymer; Basic concepts of polymer-Blend and composites, Conducting and biodegradable polymers. Preparation and application of some industrially important polymers (Buna-S, Buna-N, Neoprene, Nylon-6, nylon-6,6 and Terylene). General methods of synthesis of organometallic compounds (Grignard reagent) and their applications.
EMERGING DOMAIN IN ELECTRONICS ENGINEERING
I Semiconductor Diode: Depletion layer, V-I characteristics, ideal and practical Diodes, Diode Equivalent Circuits, Zener Diodes breakdown mechanism (Zener and avalanche) Diode Application: Diode Configuration, Half and Full Wave rectification, Clippers, Clampers, Zener diode as a shunt regulator, Voltage-Multiplier Circuits Special Purpose two-terminal Devices: Light-Emitting Diodes, Photo Diodes, Varactor Diodes, Tunnel Diodes, Liquid-Crystal Displays.
II Bipolar Junction Transistor: Transistor Construction, Operation, Amplification action. Common Base, Common Emitter, Common Collector Configuration Field Effect Transistor: Construction and Characteristic of JFETs. Transfer Characteristic. MOSFET (MOS) (Depletion and Enhancement) Type, Transfer Characteristic.
III Operational Amplifiers: Introduction, Op-Amp Basic, Practical Op-Amp Circuits (Inverting Amplifier, Non-inverting Amplifier, Unit Follower, Summing Amplifier, Integrator, Differentiator).Differential and Common-Mode Operation, Comparators. Introduction of IoT System, Components of IoT system: Microprocessor and Microcontroller, Bluetooth Technology, Wi-Fi Technology, Concept of Networking, Sensor Nodes, the concept of cloud.
IV Digital Electronics: Number system & representation. Introduction of Basic and Universal Gates, using Boolean algebra simplification of a Boolean function. K Map Minimization up to 6 Variable. Introduction To IC Technology: SSI, MSI, LSI, VLSI Integrated Circuits.
V Fundamentals of Communication Engineering: Basics of signal representation and analysis, Electromagnetic spectrum Elements of a Communication System, Need of modulation and typical applications, Fundamentals of amplitude modulation and demodulation techniques. Introduction to Data Communications: Goals and applications of Networks. General Model of Wireless Communication: Evolution of mobile radio communication fundamentals, GPRS, GSM, CDMA. Elements of Satellite & Radar Communication,
FUNDAMENTAL OF MECHANICAL ENGINEERING AND MECHATRONICS
I Introduction to Mechanics of Solid: Normal and shear stress, strain, Hookes’ law, Poisson’s ratio, elastic constants and their relationship, stress-strain diagram for ductile and brittle materials, a factor of safety. Basic Numerical problems. Types of beams under various loads, Statically Determinate Beams, Shear force and bending moment in beams, Shear force and bending moment diagrams, Relationships between load, shear and bending moment. Basic Numerical problems.
II Introduction to IC Engines and RAC: IC Engine: Basic Components, Construction and Working of Two-stroke and four-stroke SI & CI engine, merits and demerits, scavenging process; Introduction to electric, and hybrid electric vehicles. Refrigeration: It's meaning and application, unit of refrigeration; Coefficient of performance, methods of refrigeration, construction and working of domestic refrigerator, the concept of the heat pump. Formula based numerical problems on cooling load. Air-Conditioning: It's meaning and application, humidity, dry bulb, wet bulb, and dew point temperatures, comfort conditions, construction and working of the window air conditioner.
III Introduction to Fluid Mechanics and Applications: Introduction: Introduction: Fluids properties, pressure, density, dynamic and kinematic viscosity, specific gravity, Newtonian and Non-Newtonian fluid, Pascal’s Law, Continuity Equation, Bernoulli's Equation and its applications, Basic Numerical problems. Working principles of hydraulic turbines & pumps and their classifications, hydraulic accumulators, hydraulic lift and their applications.
IV Measurements and Control System: Concept of Measurement, Error in measurements, Calibration, measurements of pressure, temperature, mass flow rate, strain, force and torques; Concept of accuracy, precision and resolution, Basic Numerical problems. System of Geometric Limit, Fit, Tolerance and gauges, Basic Numerical problems. Control System Concepts: Introduction to Control Systems, Elements of the control system, Basic of open and closed-loop control with example.
V Introduction to Mechatronics: Evolution, Scope, Advantages and disadvantages of Mechatronics, Industrial applications of Mechatronics, Introduction to autotronics, bionics, and avionics and their applications. Sensors and Transducers: Types of sensors, types of transducers and their characteristics. Overview of Mechanical Actuation System – Kinematic Chains, Cam, Train Ratchet Mechanism, Gears and its type, Belt, Bearing, Hydraulic and Pneumatic Actuation Systems: Overview: Pressure Control Valves, Cylinders, Direction Control Valves, Rotary Actuators, Accumulators, Amplifiers, and Pneumatic Sequencing Problems.
ENGINEERING MATHEMATICS- I
I Matrices: Types of Matrices: Symmetric, Skew-symmetric and Orthogonal Matrices; Complex Matrices, Inverse and Rank of the matrix using elementary transformations, Rank-Nullity theorem; System of linear equations, Characteristic equation, Cayley-Hamilton Theorem and its application, Eigenvalues and eigenvectors; Diagonalisation of a Matrix
II Differential Calculus- I: Introduction to limits, continuity and differentiability, Rolle’s Theorem, Lagrange’s Mean value theorem and Cauchy mean value theorem, Successive Differentiation (nth order derivatives), Leibnitz theorem and its application, Envelope of a family of one and two-parameter, Curve tracing: Cartesian and Polar co-ordinates
III Differential Calculus-II: Partial derivatives, Total derivative, Euler’s Theorem for homogeneous functions, Taylor and Maclaurin’s theorems for a function of two variables, Maxima and Minima of functions of several variables, Lagrange Method of Multipliers, Jacobians, Approximation of errors
IV Multivariable Calculus-I: Multiple integrations: Double integral, Triple integrals, Change of the order of integration, Change of variables, Application: Areas and volumes, Center of mass and centre of gravity (Constant and variable densities)
V Vector Calculus: Vector identities (without proof), Vector differentiation: Gradient, Curl and Divergence and their Physical interpretation, Directional derivatives. Vector Integration: Line integral, Surface integral, Volume integral, Gauss’s Divergence theorem, Green’s theorem and Stoke’s theorem (without proof) and their applications
ENGINEERING MATHEMATICS II
I Ordinary Differential Equation of Higher Order: Linear differential equation of nth order with constant coefficients, Simultaneous linear differential equations, Second-order linear differential equations with variable coefficients, Solution by changing independent variable, Reduction of order, Normal form, Method of variation of parameters, Cauchy-Euler equation.
II Multivariable Calculus-II: Introduction of Improper integrals, Beta & Gama function and their properties, Dirichlet’s integral and its applications, Application of definite integrals to evaluate surface areas and volume of revolutions.
III Sequences and Series: Definition of Sequence and series with examples, Convergence of sequence and series, Tests for convergence of series, (Ratio test, D’ Alembert’s test, Raabe’s test). Fourier series, Half range Fourier sine and cosine series.
IV Complex Variable–Differentiation: Limit, Continuity and differentiability, Functions of a complex variable, Analytic functions, Cauchy- Riemann equations (Cartesian and Polar form), Harmonic function, Method to find Analytic functions, Conformal mapping, Mobius transformation and their properties.
V Complex Variable –Integration: Complex integrals, Contour integrals, Cauchy- Integral theorem, Cauchy integral formula, Taylor’s and Laurent’s series (without proof), Singularities, Classification of Singularities, zeros of analytic functions, Residues, Methods of finding residues, Cauchy Residue theorem, Evaluation of real integrals of the types
This course is also helpful to GATE & UPSC ESE