Business Mathematics II Syllabus - BBA-BI (PU)

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Course Description

Course Objectives

The purpose of this course is to provide sound knowledge of derivatives of function of single variable as well as several variables, optimization techniques, and their applications in business and economics. The course also imparts the knowledge of integration and linear programming and their applications.

Course Description

The first module is concerned with limits, rates of change and techniques of differentiation. Second module provides the applications of derivatives. Third module is devoted to functions of several variables, partial derivatives, differentials, and total derivatives. Optimization problems are dealt in module four and six. Module five is devoted exclusively to integration and its applications.

Course Outcomes

By the end of this course, students should be able to:

  • apply differentiation techniques to solve the related problems;
  • use derivatives to determine rate measures and solve optimization problems;
  • solve the problems related to definite and indefinite integrals;
  • understand the concept of linear optimization.

Unit Contents

Course Contents

Unit I: Derivatives                                                                                                     10 hours

Limit of function, Continuity and discontinuity of function, Average Rates of Change, Instantaneous Rates of Change: The Derivative, Techniques of differentiation, Derivative of: algebraic, exponential and logarithmic functions, Higher order derivatives, Applications related to rate measures

 

Unit II: Applications of Derivatives                                                             7 hours           

Concavity: Points of Inflection, Relative Maxima and Minima, Absolute Maxima and Minima, Optimization in Business and Economics (Maximizing Revenue, Minimizing Cost, Maximizing Profit, Profit in a Monopoly Market, Profit in a Competitive Market), Elasticity

Unit III: Functions of Several Variables                                                                  8 hours

Functions of Two or More Variables, Partial Differentiation (First-Order Partial Derivatives, Higher-Order Partial Derivatives), Applications of Partial Derivatives in Business and Economic, Differentials, Total Derivatives

Unit IV: Optimization: Functions of Several Variables                                          6 hours

Maxima and minima of functions of several variables, Discriminating monopolists, Constrained Optimization: The Method of Lagrange Multipliers

Unit V: Integration and its Applications                                                                  10 hours           

Indefinite integrals, Techniques of integration, Definite integrals, Consumer’s Surplus and Producer’s Surplus, Improper integrals, Ordinary differential equations

Unit VI: Inequalities and Linear Programming                                                       7 hours

Linear Inequalities in Two Variables, Linear Programming Model, Graphical Solution Method, Special Cases (infeasible solution, unbounded solution, alternative optima)

Text and Reference Books

Basic Books

  1. Harshbarger, R. J., & Reynolds, J. J. Mathematical Applications for the Management, Life, and Social Sciences. USA: Brooks Cole.
  2. Budnick, F. S. Applied Mathematics for Business Economics and the Social Sciences. New Delhi: McGraw-HILL, INC.

References

  1. Hoffmann, L. D, & Bradley, G. L. Calculus for Business, Economics, and the Social and Life Sciences. New Delhi: McGraw-Hill, Inc.
  2. Shrestha, K. K., &Thagurathi, R. K. Applied Mathematics. Kathmandu: Buddha Academic Enterprise.

 

Download Syllabus
  • Short Name N/A
  • Course code MTH 102
  • Semester Second Semester
  • Full Marks 100
  • Pass Marks 45
  • Credit 3 hrs
  • Elective/Compulsary Compulsary