BCM3A11 BASIC NUMERICAL METHODS
Module I Numerical expressions and Equations: Simultaneous linear equations (up to three variables), Quadratic equations in one variable-factorization and quadratic formula (10 Hours, 10 marks)
Module II Matrices: introduction - type of matrices – trace and transpose and determinants - matrix operations – adjoint and inverse –rank- solving equations by matrices: Cramer‘s Rule (not more than three variables). (15 Hours, 15 marks)
Module III Sequence, Series and Progression : Concepts and differences - Arithmetic progression- n th term and sum of n terms of an AP - Insertion of Arithmetic means in AP - Geometric progression- ‗n‘th term and sum of n terms of an GP - Insertion of Geometric Mean in GP - Harmonic progression. (20 Hours, 15 marks)
Module IV Interest and Time value: Concept of interest-Types of interest: Simple interest and compound interest – nominal, real and effective rate of interest - Future value and Present Value; Annuity and Perpetuity - Computing future and present values of annuity (regular and immediate) - multi and growing period perpetuity - Compound annual growth rate - computation of Equated Monthly Instalments (EMI). (15 Hours, 15 marks)
Module V
Descriptive Statistics: Measures of Central Tendency – Mean: Arithmetic mean, Geometric
mean and Harmonic Mean- Median, Mode and other position values - Measures of
Dispersion: mean deviation, quartile deviation, standard deviation and coefficient of variation
- Measures of Skewness and Kurtosis. (20 Hours, 25 marks)
- Teacher: Dr. Ameen C P FACULTY
