Page 41 - BE Mech Curriculum and Syllabus - R2017 - REC

Department of MECH | REC

 Single phase transformer - 2
 Three phase alternator - 2
 Three phase synchronous motor - 1
 Three phase Squirrel cage Induction motor - 1
 Three phase Slip ring Induction motor - 1
 Single phase Induction motor – 1
 DC Compound motor – 1
 Inverter with Three phase induction motor – 1
 Multi quadrant chopper – 1
 Full bridge converter with PMDC - 1

SEMESTER IV

MA 17452 STATISTICS AND NUMERICAL METHODS L T P C
(Common to B.E. - AUTO, MECH & MCT ) 3 2 0 4

OBJECTIVES:
 To provide the necessary basic concepts of a few statistical methods in designing and solving
problems.
 To provide various numerical methods in solving problems that occur in the field of Engineering
and Technology.

UNIT I TESTING OF HYPOTHESIS 15
Statistical hypothesis - Large sample test based on Normal distribution for single mean and difference of
means -Tests based on t, F and Chi-square test for single sample standard deviation. Chi-square tests for
independence of attributes and goodness of fit.

UNIT II DESIGN OF EXPERIMENTS 15
One way and two way classifications - Completely randomized design – Randomized block design –Latin
square design

UNIT III SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS 15
Newton Raphson method – secant method – Gauss Jordan method – Iterative method of Gauss Seidel –Eigen
value of a matrix by power method and by Jacobi method for symmetric matrix.

UNIT IV INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL
INTEGRATION 15
Curve fitting (y= a+ bx, y = a+bx+cx )-Lagrange’s interpolations – Newton’s forward and backward
2
difference interpolation – Approximation of derivates using interpolation polynomials – Numerical
integration using Trapezoidal and Simpson’s 1/3 rules.

UNIT V NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS 15
Taylor’s series method – Modified Euler’s method – Fourth order Runge - Kutta method for solving first
order equations – Finite difference methods for solving second order equations- Finite difference solution of
one dimensional heat equation by explicit and implicit methods - Two dimensional Laplace equation.

TOTAL 75 PERIODS
OUTCOMES
On completion of the course, students will be able to
 Obtain statistical data from experiments and able to analyze the same using statistical test.
 Design experiments using suitable ANOVA techniques and draw conclusions.

Curriculum and Syllabus | B.E. Mechanical Engineering | R2017 Page 41