FIRST SEMESTER SYLLABUS | PURBANCHAL UNIVERSITY BBA | MANAGEMENT MINDS

FULL SYLLABUS OF FIRST SEMESTER

     Purbanchal University | BBA I Semester |LH: 48

      Course Title: Business Mathematics 

    Code No: FO 111

Course Objectives: This is a foundation course to acquaint the students with fundamentals of mathematics and its application in business decision making

 

Course Contents:

 

Unit 1: Set Theory      LH 5

Review on the following: Set and Set Membership, Inclusion Relation and Equality of Sets; Universal Set; Finite and Infinite Sets. Set Operations: (Union, Intersection, Difference, Compliment and Symmetric Difference). Fundamental Laws of Set Operations; Partition of Set; Cartesian Product of Sets, Cardinal Number of Finite Set and Related Problems.

 

Unit 2:Matrix and Determinants         LH 7

Matrix, Special Types of Matrices, Addition of Matrices,  Multiplication of Matrix by Scalar and Matrix Multiplication, Determinant of Square Matrix, Determinant of Product of two Matrices, Properties of Determinant and Related Problems, Transpose of a Matrix, Ad-joint of a Matrix, Inverse of Square Matrix, Properties of Inverse of a Matrix, Rank of Matrix.

 

Unit 3: Linear Equations                     LH 5

System of Linear Equation , Consistent and Inconsistent System, Test of Consistency, Solution of System of Linear Equation , Unique Solution and Infinite Solutions, Solution by Row-Equivalent Method, Inverse Matrix Methods and Cramer's Rule up to Three Variables.

 

Unit 4: Function, Limit and Continuity      LH 5

Function: Construction of Functions; Linear and Quadratic Functions; Absolute Value Functions; Step Function, Exponential Function, Logarithmic Function, Convex Set and Convex Function; Zeros of a Function; Algebraic and Graphic Methods of Finding Zeros of Linear and Quadratic Functions, Break-Even  Analysis; Limit of a Function; Continuous Function , Monotonic Function, Inverse Function.

Unit 5: Differentiation (Excluding Trigonometric Function)LH 7

 

Definition of  Derivative, Right-hand  and Left-hand  Derivative, Basic Laws of Derivative, The Chain  Rule, Derivative of Exponential and Logarithmic Function, Hiigher Order Derivatives, Application of Derivative.

Unit 6: Maxima and Minima Functions                                                                                                     LH 6

 

Local Maxima and Minima of a Function, Global Maxima and Minima, Application of Maxima and Minima to Business Related Problems.

Unit 7: Integration (Excluding Trigonometric Function)                                                                                                                                                                 LH S Integral, Integration Formulate, Integration by Parts, Definite Integral, Application of Integration.

 

Unit 8: Interest and Annuities                                                                                                           

 

Simple  and  Compound  Interest, Effective  Rate  of  Interest,  Present  and  Future  Value  of  Money  under Compound Interest

 

Annuity: Amount and Present Value of an Annuity

 

 

Suggested Reference:

M  Raghavachari,  Mathematics  for  Management:  An  Introduction , 2005, Tata  McGraw-Hill  Publishing Company Limited, New Delhi

Slu·estha, Thagurathi & Mishra, Business Mathematics, 2011 edition, Buddha Publication, Kathmandu

 

Frank Budnick, Applied Mathematics for Business, Economics, and the Social Sciences, 2010, Tata McGraw­ Hill Publishing Company Limited, New Delhi

Kashyap Trivedi and Chirag Trivedi, Business Mathematics, 2011, Pearson Education, India

 

S Rajagopalan , R Sattanathan , Business Mathematics , 2009, Tata McGraw-Hill Publishing Company Limited, New Delhi