MODULE-I :
Approximations and round off errors: Significant figures, accuracy and precision, error definitions, round off errors and truncation errors. Mathematical modeling and Engineering problem solving: Simple mathematical model, Conservation Laws of Engineering
MODULE-II:
Sampling theory: Testing of hypothesis: Chi square test and F-test. Analysis of Variance (ANOVA): one way classification, Design of experiments, RBD.
MODULE- III:
System of Linear Algebraic Equations And Eigen Value Problems: Gauss-Jordan Method, Cholesky Method, Partition method, Bounds on Eigen Values, Givens method for symmetric matrices, Householder’s method for symmetric matrices.
MODULE IV:
Roots of Equations by numerical methods: Secant Method, Newton- Raphson method, Horner’s Method. Numerical solution of one dimensional wave equation, heat equation and Laplace equation by finite differential schemes.
MODULE-V: Engineering Applications on :
i) Finding terminal velocity by mathematical modeling (Ref.3)
ii) To access the significance of possible variation in the performance of the study by various students (Page No: 1013, Ref. 5)
iii) Composition of reflections and rotations in the plane (Article No:3.8, P.No: 269, Ref.)
iv) vibrating string (Article No:4.5, P.No:147, Ref.2)