Manufacturing Process-I (UG Level)
Engineering Mathematics for Advanced Studies (PG Level)
Course Content
Casting processes: dispensable and permanent mould processes; analysis of melting, pouring and solidification phenomena; design of pattern, core, feeder and gating system; casting defects and inspection.
Joining processes: fusion and solid-state welding; brazing and soldering; weld joint design, cooling rate, and joint properties; welding defects and inspection.
Bulk and Sheet Forming processes: rolling, forging, extrusion and drawing; sheet metal working; forming limit diagram; loads, friction and lubrication; forming defects and inspection.
Powder processing: Powder manufacture, characterization, compaction and sintering; metal injection moulding; hot and cold iso-static pressing.
Polymers and Composites: Thermoplastics, thermosets, elastomers and composites; related processes; injection mould design; moulding defects and inspection.
Advanced processes: Free form fabrication (rapid prototyping), and net shape manufacturing processes
Reference Books:
1. Ghosh A. and Mallick A.K., Manufacturing Science, Affiliated East West Press, 2001.
2. Rao P.N., Manufacturing Technology- Foundry, Forming and Welding, TMG Hill, 1987. Schey J., Introduction to Manufacturing Processes, Tata McGraw Hill, 2000.
3. DeGarmo E.P., Black J.T., Kohser R.A., Materials and Processes in Manufacturing, PHI, 1997.
4. Pye R.G.W., Injection Mold Design, Longman Scientific & Technical, Essex, 1989..
Course Content
Module-1: Linear Algebra: Vector Spaces, Matrices, Linear algebraic equations, Eigen-values and Eigenvectors of matrices, Singular-value decomposition
Module-2: Tensor Algebra: Index Notation and Summation Convection, Tensor Algebra
Module-3: Vector Calculus: Dot and Cross Product, Curves. Arc Length. Curvature. Torsion, Divergence and Curl of a Vector field, Line Integrals, Green's Theorem, use of Vector calculus in various engineering streams.
Module-4: Ordinary Differential Equations: Initial Value Problem, Method to solve first order ODE, Homogeneous, linear, 2nd order ODE, Nonhomogeneous, linear, 2nd order ODE, System of 1st order ODE
Module-5: Laplace and Fourier transformation: First and Second Shifting Theorems, Transforms of Derivatives and Integrals, Fourier Cosine and Sine Transforms, Discrete and Fast Fourier Transforms
Module-6: Partial Differential Equations: Basic Concepts of PDEs, Modeling: Wave Equation, Heat Equation, Solution by Separating Variables, Solution by Fourier Series, Solution by Fourier Integrals and Transforms
Reference Books:
1. E. Kreyszig. Advanced Engineering Mathematics, John Wiley & Sons, 2011.
2. P.V. O'Neil. Advanced Engineering Mathematics, CENGAGE Learning, 2011.
3. D.G. Zill. Advanced Engineering Mathematics, Jones & Bartlett Learning 2016.
4. B. Dasgupta. Applied Mathematical Methods, Pearson Education, 2006.
5. A. Schrijver, Theory of Linear and Integer Programming, 1998.
6. D.S. Dummit, R.M. Foote, Abstract Algebra, 2004.