Syllabus
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Course Code: B-COM 103 Course Name: Business Mathematics |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Matrices and Determinants: concept of matrix, types, and algebra of matrices; properties of
determinants; calculation of values of determinants up to third order, adjoint of a matrix,
elementary row or column operations; Finding inverse of a matrix through adjoint and
elementary row or column operations; solution of a system of linear equations having unique
solution and involving not more than three variables. Compound Interest and Annuities: Logarithms, Anti-logarithms different types of interest rates, concept of present value and amount of a sum; types of annuities; present value and amount of an annuity (including the case of continuous compounding); valuation of simple loans and debentures; problems relating to sinking funds. Differentiation & Permutation and combinations: Idea of simple derivative of different functions (excluding Trigonometrical functions); Rules of differentiation (simple standard forms). Maxima and Minima of functions of one variable (including 2nd or 3rd order derivatives) relating to cost, revenue and profit. Permutation and combination. Linear programming: graphical solution of linear equalities in two variables, solution of system of linear inequalities in two variables. Formulation of equation: graphical method of solution, simplex method, duality; problems relating to two variables including the case of mixed constraints; cases having no solution, multiple solutions, unbounded solution and redundant constraints. |
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