Assam University b.com Hons Syllabus 301 3rd sem BUSINESS MATHEMATICS

B. COM 3RD SEMESTER  BUSINESS MATHEMATICS  BCMH A 301 (HONOURS PAPER)  Objective : The objective of this course is to enable the stu...

B. COM 3RD SEMESTER 

BUSINESS MATHEMATICS 

BCMH A 301 (HONOURS PAPER) 

Objective : The objective of this course is to enable the students to have such basic idea of mathematics as is applicable to business. 

Full Marks -50 

UNIT I 

ALGEBRA 10
1.1. Laws of indices; Permutation and Combination.
1.2. Binomial Theorem; Exponential and Logarithmic Series.
1.3. Matrices (upto 3’ order); Meaning, Addition, Multiplication, Solution of linear simultaneous equation, Rank of a matrix.

UNIT 2 

DIFFERENTIAL CALCULUS 10
2.1 Concept of Limit & continuity.
2.2 Derivative of a function; Rules and interpretation of various order derivatives.
2.3 Maxima and Minima of univariate functions: Application of Maxima & Minima and point of inflexion.

UNIT 3 

PARTIAL DERIVATIVES 10
3.1 Partial derivatives upto second order: Homogeneity of functions and Euler’s Theorem.
3.2 Total Differentials; Differentiation of implicit function with the help of total differentials.

UNIT 4 

INTEGRATION 10
4.1 Integration: Meaning, Standard forms; Methods of integration - by substitution, by parts; Definite integration; Finding areas in simple cases.

UNIT 5 

LINEAR PROGRAMMING 10
5.1 Meaning and Importance of Linear Programming.
5.2 Linear Programming - Formulation of LPP, Graphical Method of Solution.
5.3 Simplex Method - Solution of problems upto three variables.

Suggested Readings: 

1. Kapoor V.K.: Business Mathematics, Sultan Chand & Sons, Delhi.
2. Nag N.K.: Business Mathematics, Kalyani Publisher.
3. Holden; Mathematics for Business and Economics, Macmillan India.
4. Sancheti D.C. and Kapoor V.K.: Business Mathematics, Sultan Chand & Sons.
5. Narayan, S.: Differential Calculus and Integral Calculus, Sultan Chand & Sons.