ME 3rd Semester Syllabus

1. Unit 1Numerical Methods – 1

   Solution of polynomial and transcendental equations · Bisection method · Newton-Raphson method · Regula-Falsi method · Finite differences · Relation between operator differences · Interpolation using Newton's forward and backward difference formulae · Interpolation with unequal intervals · Newton's divided difference · Lagrange's formulae

2. Unit 2Numerical Methods – 2

   Numerical Differentiation · Numerical integration · Trapezoidal rule · Simpson's $1/3$ rule · Simpson's $3/8$ rule · Solution of Simultaneous Linear Algebraic Equations by Gauss's Elimination · Gauss's Jordan · Crout's methods · Jacobi's · Gauss-Seidal · Relaxation method

3. Unit 3Numerical Methods – 3

   Ordinary differential equations · Taylor's series · Euler method · Modified Euler's methods · RungeKutta Method of fourth order for solving first and second order equations · Milne's and Adam's predator-corrector methods · Partial differential equations · Finite difference solution two dimensional Laplace equation and Poisson equation · Implicit and explicit methods for one dimensional heat equation (Bender-Schmidt and Crank-Nicholson methods) · Finite difference explicit method for wave equation

4. Unit 4Transform Calculus

   Laplace Transform · Properties of Laplace Transform · Laplace transform of periodic functions · Finding inverse Laplace transform by different methods · convolution theorem · Evaluation of integrals by Laplace Transform · solving ODEs by Laplace Transform method · Fourier transforms

5. Unit 5Concept of Probability

   Probability Mass function · Probability Density Function · Discrete Distribution · Binomial · Poisson's · Continuous Distribution · Normal Distribution · Exponential Distribution

1. Unit 1Basic Concepts & Laws of Thermodynamics

   Property · Equilibrium · State · Process · Cycle · Zeroth law of thermodynamics · Heat and work transfer · First law of thermodynamics · First law applied to various systems (steady‑flow processes) · Limitations of the first law · Second law of thermodynamics · Heat engine · Heat reservoir · Refrigerator · Heat pump · Carnot cycle · Statements of the second law · Reversible and irreversible processes · Clausius inequality · Entropy · $T$–$S$ diagrams · Available and unavailable energy · Availability concept

2. Unit 2Properties of Steam

   Pure substance · Phase and phase transformations · Formation of steam · Properties of steam · Pressure‑Volume‑Temperature (PVT) surface · Enthalpy–entropy (h–s) diagram · Temperature–entropy (t–s) diagram · Pressure–volume (p–v) diagram · Pressure–enthalpy (p–h) diagram · Temperature–volume (t–v) diagram · Vapor processes · Measurement of dryness fraction · Use of steam tables · Mollier chart

3. Unit 3Air Standard Cycles

   Carnot cycle · Otto cycle · Diesel cycle · Dual cycle and their comparison · Brayton cycle · Non‑reactive gas mixtures · Pressure–Volume–Temperature (PVT) relationship for mixtures · Mixture of ideal gases · Properties of gas mixtures · Internal energy of mixtures · Enthalpy of mixtures · Specific heat of gas mixtures

4. Unit 4Fuels and Combustion

   Actual and theoretical combustion processes · Enthalpy of formation · Enthalpy of reaction · First‑law analysis of reacting systems · Adiabatic flame temperature · Basic concept of the third law of thermodynamics · Use of steam tables and Mollier charts for reactive systems

5. Unit 5Fuels & combustion

   Actual & theoretical Combustion processes · Enthalpy of formation · Enthalpy of reaction · First law analysis of reacting systems · Adiabatic flame temperature · Basic concept of Third Law of thermodynamics

1. Unit 1Fundamentals of Materials and Mechanical Properties

   Solidification of metals · Crystallisation · Crystal and amorphous structures · Different types of bonds in different metals · Crystallography · Stability and metastability of metals · Different mechanical properties of metals and other engineering materials like strength, hardness, elasticity, plasticity, malleability, ductility, creep, fatigue etc. · Introduction to industrial metals, steels and prevailing manufacturing methods by manufacturers

2. Unit 2Phase Diagrams and Alloying

   Cooling curves · Isomorphous, eutectic, eutectoid, eutectoid solid solution, peritectic and other phase diagrams · Alloying and characteristics of alloying elements · Iron–Carbon phase diagram · T‑T‑T diagrams · Types of cast iron · Types of stainless steels · Elastic, anelastic and viscoelastic behaviour

3. Unit 3Heat Treatment of Metals

   Heat treatment of metals based on phase diagram and T‑T‑T diagram · Bulk heat treatments · Surface heat treatments · Case carburising · Types of annealing, normalising, spherodising · Phase transformations such as pearlite, cementite, austenite, troostite, bainite, hard and soft martensite etc. · Laser hardening, cyniding, boriding, nitriding, flame hardening, ion implantation, etc. · Heat treatment cycles · Metallographic studies using optical microscope and electron microscope

4. Unit 4Testing Methods and Material Properties

   Destructive and non‑destructive testing methods · Tensile test · Compression test · Shear test · Bend test · Various hardness tests · Impact tests · Fatigue tests · Hardenability test · Fracture analysis and NDT methods · Properties of steels, aluminium and its alloys, copper and its alloys, manganese and its alloys, chromium and its alloys, nickel and its alloys

5. Unit 5Chemical Analysis of Alloying Elements

   Chemical analysis of different alloying elements in commercial metals (C, Fe, Cr, Ni, Mn, Mg, S, P, Co, Mo, etc.) · Different chemical reagents and equipment · Volumetric and gravimetric analysis · Spot test and colorimetric methods · Optical and spectrophotometric analysis

6. Unit 6== END OF UNITS==

1. Unit 1Stress and strain

   stresses in members of a structure, axial loading, normal stress, shear stress · analysis of simple structures, stepped rods, members in series and parallel · stress‑strain diagram · Hooke’s law · stress due to temperature · Poisson’s ratio · Bulk modulus · shear strain · relation among elastic constants · residual stress · fiber reinforced composite materials · strain energy under axial loads and stresses due to impact of falling weights · transformation of stress and strain · principal stresses, normal and shear stress · Mohr’s circle and its application to two‑ and three‑dimensional analysis

2. Unit 2Bending

   pure bending · symmetric member, deformation and stress · bending of composite sections · eccentric axial loading · shear force and bending‑moment (BM) diagram · relationship among load, shear and BM · shear stresses in beams · strain energy in bending · deflection of beams · equation of elastic curve · Macaulay’s method and area‑moment method for deflection of beams

3. Unit 3Torsion in shafts

   tensional stresses in shafts · deformation in circular shaft · angle of twist · stepped and hollow transmission shafts

4. Unit 4Theories of failures

   maximum normal stress & shear stress theory · maximum normal and shear strain‑energy theory · maximum distortion‑energy theory · application of theories to different materials and loading conditions

5. Unit 5Columns & struts

   stability of structures · Euler’s formula for columns with different end conditions · Rankine’s formula

6. Unit 6== END OF UNITS==

1. Unit 1Casting

   Types of casting processes. · Molding and foundry core sands and their properties. · Gating, runners, risers. · Solidification, defects and elimination. · Molding machines. · Centrifugal casting. · Dye casting. · Shell molding. · Lost wax molding. · Continuous casting. · Cupola description and operation.

2. Unit 2Welding

   Types of welding. · Gas welding method and flames. · Gas cutting. · Electric arc welding, AC and DC welding machines and their characteristics. · Flux, electrodes, submerged arc welding. · TIG & MIG welding. · Pressure welding. · Electric resistance welding: spot, seam and butt welding. · Thermit chemical welding. · Brazing and soldering. · Welding defects & remedies. · Safety precautions.

3. Unit 3Pattern Making

   Types of patterns. · Pattern and pattern making. · Pattern allowances. · Pattern design considerations. · Core and core boxes.

4. Unit 4Forging

   Types of forging operations. · Theory and application of forging processes. · Description of drop and horizontal forging machines.

5. Unit 5Press Working

   Description and operation of press working processes. · Shearing, punching, piercing, blanking, trimming, perfecting, notching, lancing, embossing, coining, bending, forging and drawing. · Press, tool dies, auxiliary equipment, safety devices, stock feeders, scrap cutters. · Forces, pressure and power requirements.

6. Unit 6Rolling

   Types of rolling operations. · General description of rolling machines and processes. · Rolling of structural sections, plates and sheets. · Hot and cold rolling techniques.

7. Unit 7Metal Machining

   Basics of lathe machines: operations and components. · Working principle of shaper and planer. · Introduction to milling, grinding and drilling machines.

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