West Bengal University of Technology
BF-142,Salt Lake City,Kolkata-700064
New Syllabus of BBA(H) Course/First two Years of Insurance & Risk Mgmt/Supply
Chain Mgmt
[BBA- 202]: Mathematics - II
Course Contents
ALGEBRA
Determinants: Determinants of order 2 and 3; minors and cofactors; expansion of determinants; properties of
determinants; Cramer’s rule for solving simultaneous equations in two or three variables.
Matrices: Different types of matrices; Matrix Algebra – addition, subtraction and multiplication of matrices;
Singular and non-singular matrices; adjoint and inverse of a matrix; elementary row / column operations;
Solution of a system of linear equations using matrix algebra.
Vectors: Row and column vectors and their significance. [6L]
COORDINATE GEOMETRY
Idea of conics as sections of a cone; Brief ideas of Foci, Directrix, Eccentricity and Latus Rectum; Equations of
parabola, ellipse, hyperbola and rectangular hyperbola in standard form.
[4L]
CALCULUS
Limits: Notation and meaning of limits; Fundamental theorems on limits; Evaluation of limits of algebraic,
exponential and logarithmic functions.
Continuity: Continuity of a function at a point x = a and in an interval.
Differentiation: Meaning and geometrical interpretation of differentiation; Differentiation from first principles;
Standard derivatives; Rules for calculating derivatives; Logarithmic differentiation; Derivatives of composite
functions, implicit functions and functions defined parametrically.
Successive differentiation: Second and higher order derivatives; forming equations with such derivatives.
Applications of differentiation: Optimization of functions; Curve sketching; Equations of tangent and normal;
Derivative as a rate measurer; Sign of a derivative - increasing and decreasing functions;
Partial derivatives: Homogenous functions; Euler’s Theorem;
Optimization of functions of more than one variable: unconstrained and constrained optimization; cases of
two variables involving not more than one constraint.
Indefinite Integrals: Integration as the inverse of differentiation; Standard integrals; Integration by
substitution, by parts and by the method of partial fractions.
Definite Integrals: Definite integral as the limit of a sum; Properties of definite integrals; Application of
definite integrals in calculating the areas under curves.
[30L]
Suggested Readings
1. Dowling – Introduction to Mathematical Economics: Schaum’s Outline Series
2. N.I. Piskunov – Differential and Integral Calculus, Vol I and II
3. G.B. Thomas and R.L. Finney – Calculus and Analytic Geometry, Addison Wesley
4. Sancheti & Kapoor – Business Mathematics; Sultan Chand & Company
5. Mark Anthony and Norman Biggs – Mathematics for Economics and Finance; Cambridge University
Press
6. M Raghavachari – Mathematics for Management: An Introduction - Tata McGraw Hill
