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# Business Mathematics FYBMS Semester II ## Description

FYBMS Semester II

Content:

Unit - I : Elementary Financial Mathematics (15 Lec.)
1. Simple and Compound Interest: Interest compounded once a year, more than once a year, continuous, nominal and effective rate of interest.
2. Annuity : Present and future value - sinking funds
3. Depreciation of Assets : Equated Monthly Instalments (EMI) - using flat interest rate and reducing balance method.
4. Functions : Algebraic functions and the functions used in business and economics, Break Even and Equilibrium point.
5. Permutation and Combination : (Simple problems to be solved with the calculator only)

Unit - II : Matrices and Determinants (15 Lec.)
1. Matrices : Some important definitions and some important results. Matrix operation (Addition, scalar multiplication, matrix multiplication, transpose of a matrix)
2. Determinants of a matrix of order two or three - properties and results of Determinants
3. Solving a system of linear equations using Cramer’s Rule
4. Inverse of a Matrix (up to order three) using ad-joint of a matrix and matrix inversion method
5. Case Study - Input Output Analysis

Unit - III : Derivatives and Applications of Derivatives (15 Lec.)
1. Introduction and Concept : Derivatives of constant function, logarithmic functions, polynomial and exponential function
2. Rules of derivatives: addition, multiplication, quotient
3. Second order derivatives
4. Application of Derivatives : Maxima, Minima, Average Cost and Marginal Cost. Total Revenue, Marginal Revenue, Average Revenue. Average and Marginal Profit. Price elasticity of demand

Unit - IV : Numerical Analysis [Interpolation] (15 Lec.)
1. Introduction and Concept – Finite differences – forward difference operator – Newton’s forward difference formula with simple examples
2. Backward Difference Operator. Newton’s backward interpolation formula with simple examples.