Course No. 501 (or) MATHEMATICS (MATS XVII)
(For B.Com General and six Speciality
Courses)
Marks: 80 Hours: 40
Objective:
The objective of this course is to enable the student to have the minimum
knowledge of mathematics as is applicable to business and economics situation.
Course
Contents:
UNIT
I: ALGEBRA: Arithmetic and Geometric Progressions, Quadratic Equations,
Logarithm Analytical geometry: (Cartesian co-ordinate system) Length of a line
segment section formula, area of a triangle, square, rectangles, rhombus,
Gradient of a straight line, equation of straight line (various forms). 20: 10 hrs
UNIT
II: DETERMINANTS: Definition, Minors and Cofactors of determinant, Properties
of determinants, calculation of value of determinants up to third order,
Solution of a system of linear equations (not more than three variables),
multiplication of determinants.
MATRICES:
Definition, Types of matrix, Addition and multiplication of matrix; Ad joint
and inverse of a matrix; solution of linear equations by matrix method (not
more than three variable), application of matrices. 20: 10 hrs
UNIT
III: LINEAR PROGRAMMING: Formulation of LPP; Graphical method of solution;
Problem relating to two variables including the case of mixed constraints; Case
having no solutions, unbounded solution and redundant constraints.
SIMPLEX
METHOD: Solution of problems up to the three variables, including the cases of
mixed constraints; Duality; Transportation problem. 20: 10 hrs
UNIT
IV: CALCULUS (problems and theorems involving trigonometrically ratios are not
to be done):- limit and continuity of a function; Differentiation of functions
up to second order; maxima and minima. 20: 10 hrs
Text
and Reference Books:
1.Allen
R.G.D.: Basic Mathematics; Macmillan, New Delhi.
2.Dowling,
E.T.: Mathematics for Economics; Schaum Series, McGraw Hill, London.
3.Loomba,
Paul: Linear Programming; Tata Mc Graw Hill, New Delhi.
4.Vohra,
N.D.: Quantitative Techniques in Management; Tata Mc Graw Hill, New Delhi.
5.Soni,
R.S.: Business Mathematics; Pitamber Publishing House.
6.Kapoor,
V.K.: Business Mathematics; Sultan Chand & Sons, Delhi.
7.Holden:
Mathematics for Business and Economics; Macmillan, New Delhi
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