Importance  Mechanical Engineering
List of importance for Second year  Sem 3 and Sem 4
Semester 3
Maths III
COMPLEX VARIABLES
CauchyRiemann Equation (Cartisian Coordinates) and constants C.R Equations in PolarCoordinates Harmonic functions Find Analytic function when real and imaginary part are given. Find Analytic function when imaginary part are given. Find Analytic function when U+V and UV is given. Find Analytic function when harmonic function is given. Orthogonal curves (To find orthogonal tragectory means to find imaginary part equation) FOURIER SERIES
Fourier Expansion for f(x) in Interval Fourier series in (c, c+2l) Fourier series of even and odd function(l,l) Half range series COMPLEX FORMS OF FOURIER SERIES Complex forms in (c, c+2l) and other intervals. Orthogonal and Orthonormal Fourier Integral theorem Fourier Sine and Cosine Integrals COMPLEX INTEGRAL
Cauchy’s theorem for analytic function Cauchy’s Goursat theorem (without proof) Singularities and poles Taylor’s and Laurent’s series development (without proof) Residue at isolated singularity and its evaluation. Residue theorem 
LAPLACE TRANSFORM
Normal L.T  Standard form Evaluation of standard L.T Change of scale property First shifting theorem Evaluation of such integrals. (put exact value of s) Evaluation of such integrals. (put the value of s) Effect of multiply by 't' Effect of Divide by 't' Problems on simple Inverse Laplace transform Methods of obtaining I.L.T a) use of standard results b) Use of shifting theorem c)Method of partial fraction d)Use of change of scaleproperty e)Convolution Theorem f) Use of differentiation. g)Use of Integration Laplace transform of periodic function PARTIAL DIFFERENTIAL EQUATION
BenderSchmidt Explicit Method Implicit method( Crank Nicolson method) Successive over relaxation method. Two and Three dimensional Laplace equations. 
Thermodynamics
Chap 1 Introduction and Basic Concepts
Chap 2 Second Law of Thermodynamics
Chap 3 Availability

Chap 4 Properties of Steam
Chap 5 Gas Power Cycles
Chap 6 Reactive Systems

S.O.M
Chap 1 Simple Stresses and Strain
Chap 5 Slope and deflection of beams
Chap 7 Columns

Chap 8 Torsion
Chap 10 Thin shells
Chap 12 Strain Energy

P.PI
Chap 1 Metal Casting process
Chap 2 Forming process
Chap 3 Welding and Joining Processes

Chap 4 Powder Metallurgy
Chap 5 Molding with polymers
Chap 6 Non Destructive Techniques

Semester 4
MathsIV Important topics
Complex Integration
Cauchy’s Theorem
Taylor’s and Laurent’s Series
Residues
Eigen values and Eigen Vectors
Correlation

Expectation
Some Standard Distribution
Simplex Method
NonLinear Programming
Regression
Probability

T.O.M  I Importance
Chap 1 Kinetics of rigid bodies

Chap 4 Cam Mechanims

F.M  Importance
Chap 1 Fluid Definition and properties
Chap 2 Fluid Kinematics
Chap 3 Fluid Dynamics

Chap 4 Real fluid flows
Chap 6 Compressible Fluid flow

P.P  II  Important topics
Chap 1 Classification, Selection and application of Machine Tools
Chap 3 Metal Cutting & Tool Engineering
Chap 4 Measurement of Tool Forces and Economics of metal cutting

Chap 5 Surface Finish, Cutting Tool Materials, Coolant
Chap 6 Design of Cutting Tools or Tool design

M.T  Important questions  (Now in Semester 3)
Chap 1 Lattice Imperfections
Chap 2 Fatigue Failure

Chap 4 Heat treatment Process
Chap 5 Effect of Alloying Elements in Steels
Chap 6 Introduction to New materials
