# Business Mathematics – Syllabus | BBA (Pokhara University) Second Semester

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## Pokhara University (PU) Syllabus of “Business Mathematics II” BBA (Bachelor of Business Administration) For: First Year | Second Semester MTH 102.3 | Credit Hours: 3

Course Objectives:
This Course aims to provide students with a sound understanding of calculus and linear algebra for business decisions.

Course Contents:

1. Applications of Derivatives: 5 hours
Revenue, Cost and Profit Applications, Marginal approach to profit maximization, Elasticity, Market model
2. Functions of Several Variables: 6 hours
Functions of variables, Partial derivatives, Partial and total differentials, Higher order differentials
3. Optimization: Functions of Several Variables: 7 hours
Maxima and minima of functions of several variables, Lagrange multiplier and constrained optimization, Competitive equilibrium of a firm, Monopoly price and output, Discriminating monopolists
4. Integration and its Applications: 10 hours
Indefinite integrals, Techniques of integration, Definite integrals, Improper integrals, Applications, Ordinary differential equations
5. Series: 4 hours
Series; geometric series, Taylor series
6. Vector: 5 hours
Vector; vector spaces, Linear dependence, Basis
7. Matrices and Determinant: 11 hours
Types of matrices, Matrix operations, Matrix representation of equations, Determinant, Inverse of a matrix, Cramer’s rule, Applications of matrix algebra, Input Output model.

Text Book:

1. Budnick, Frank S.: Applied Mathematics for Business, Economics and the Social Sciences, Fourth Edition, McGraw-Hill, Inc

Reference Books:

1. Yamane, Taro: Mathematics for Economist: An Elementary Survey, Second Edition, Prentice Hall of India.
2. Chiang, Alpha C.: Fundamental Methods of Mathematical Economics, McGraw-Hill International.
3. Goldstein Larry J., David C. Lay and David I. Schneider: Calculus and its Applications, Prentice Hall of International
4. Shrestha and Thakurathi: Mathematics for Business and Economics, Buddha Academic Enterprises.
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