QUESTION PAPERS:-
SYLLABUS
Unit I
Principle of Counting:
Permutations and Combination concept of factorial, Principle of Counting, Permutation with restriction Circular Permutation and Combination with restriction.
Mathematics Induction:
Principle, Sequences & Series -A.P.& G.P.
Unit II
Matrix Algebra:
The inverse of a matrix. Properties of the inverse Solution to a system of equations by:
(i) The adjoint matrix methods.
(ii) The Gaussian Elimination mentor, Rank of a matrix, Rank of a system of equations. The Echelon matrix. Vectors: Types Optimisation vectorAdditions, suggestions & multiplication, Scalar Product, Vector Product. Linear dependence of vectors, Application of matrices to business problems input-output analysis, Preparation of Depreciation Lapse Schedule, Variance Analysis, Inventory Flow Analysis, and Inventory Flow Analysis.
Unit III
Differential Calculus:
Optimisation using calculus, Point of inflexion absolute and local maxima and minima, Optimisation in the case of multivariate function.Lagrangian multipliers, Derivative as a rate measure, Applications in Business
Unit IV
Integral Calculus & Differential Equations: Business application, Consumer’s or Producer’s surplus, Learning Curve. Differential Equations – variable, separable and Homogeneous type- Business applications.
SYLLABUS
Unit I
Principle of Counting:
Permutations and Combination concept of factorial, Principle of Counting, Permutation with restriction Circular Permutation and Combination with restriction.
Mathematics Induction:
Principle, Sequences & Series -A.P.& G.P.
Unit II
Matrix Algebra:
The inverse of a matrix. Properties of the inverse Solution to a system of equations by:
(i) The adjoint matrix methods.
(ii) The Gaussian Elimination mentor, Rank of a matrix, Rank of a system of equations. The Echelon matrix. Vectors: Types Optimisation vectorAdditions, suggestions & multiplication, Scalar Product, Vector Product. Linear dependence of vectors, Application of matrices to business problems input-output analysis, Preparation of Depreciation Lapse Schedule, Variance Analysis, Inventory Flow Analysis, and Inventory Flow Analysis.
Unit III
Differential Calculus:
Optimisation using calculus, Point of inflexion absolute and local maxima and minima, Optimisation in the case of multivariate function.Lagrangian multipliers, Derivative as a rate measure, Applications in Business
Unit IV
Integral Calculus & Differential Equations: Business application, Consumer’s or Producer’s surplus, Learning Curve. Differential Equations – variable, separable and Homogeneous type- Business applications.
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