2nd Semester ME & CE Syllabus & Recommended Books MATHEMATICS –II (DIFFERENTIAL EQUATIONS) ORDINARY DIFFERENTIAL EQUATIONS MODULE 3A: FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS (6 LECTURES) exact, linear and bernoulli’s equations, euler’s equations, equations not of first degree: equations solvable for p, equations solvable for y, equations solvable for x and clairaut’s type. MODULE 3B: ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDERS (8 LECTURES) second order linear differential equations with variable coefficients, method of variation of parameters, cauchy-euler equation; power series solutions; legendre polynomials, bessel functions of the first kind and their properties. TEXTBOOKS/REFERENCES: Other Important books :- PARTIAL DIFFERENTIAL EQUATIONS MODULE 3C: partial differential equations – first order (6 lectures) first order partial differential equations, solutions of first order linear and non-linear pdes. MODUL
4th Semester syllabus with suggested books :- MANUFACTURING BY SHAPING AND JOINING 1. Casting : Principles of pattern making, allowances in patterns and core boxes, sand mould casting, constituents and properties of moulding sand and their tests, types of sand moulds, method and principles of gating, risering, use of cores and chills, cleaning of casting, defects in castings and their remedies, sand mould machines, melting and casting practices relating to cast iron, steel, aluminium and its allays, copper and its alloys. Cupola, crucible and electric furnaces, metal mould casting, gravity casting, die casting, centrifugal casting, non-metallic mould casting-shell mould casting, Investment casting, plaster of paris mould casting. 2.Mechanical working of metals : Hot and cold working of metals, their comparison and limitation, Hot working process -forging, roll forging, rolling piercing, extrusion, cold working processes- rolling, spinning, roll forming, cold heating, swag