APPLIED MATHEMATICS FOR BUSINESS

APPLIED MATHEMATICS FOR BUSINESS
AREA OF STUDY: FOUNDATION
BBA-102 - B

Year: 1
Semester: 1

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* Continuous
** Duration: 3 hours

Course Objectives
To develop mathematical skills effectively among students, so that they can formulate and solve problems in business.
Course contents
Unit 1: Set Theory L. H. 6
Review of the following: Set and set membership, Inclusion relation and equality of sets; Universal set; Finite and infinite sets. Set operations: (union, Intersection, Difference, Complement and Symmetric difference). Fundamental law of set operations; Partition of set; Cartesian product of sets. Cardinal number of finite set and related problems.
Unit 2: Symbolic Logic L. H. 4
Statement (Proposition); Truth-value and truth table; compound statement; conditional and bi-conditional statement; combination of statements by using "and", "unless", "either-or" and "neither-nor". Negation, Converse, Inverse, Contradiction and Contra positive of Statements, Tautology.
Unit 3: Function, Limit and Continuity L. H. 10
Function, Construction of Functions; Linear and Quadratic Foundations; Absolute value function; 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 4: Differentiation (Excluding Trigonometric Function)
Definition of derivative; Right hand and left hand derivative; Basic laws of derivative; The chain rule; Derivative of exponential and logarithmic function; Higher order derivative; Application of derivative.
Unit 5: Maxima and Minima of Functions
Local maxima and local minima of a function; global maximum and minimum; Application of maxima and minima to business related problems.
Unit 6: Integration (Excluding Trigonometric Function) L. H. 4
Integral; Integration formulate; Integration by parts; Definite integral; Application of integration
Unit 7: Matrix and Determinants L.H. 10
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; Adjoint of a square matrix; Inverse of a square matrix; Properties of inverse of a matrix; Rank of a matrix.
Unit 8: Linear Equations L. H. 5
System of linear equation; Consistent and inconsistent system; Test Consistency; Solution of system of linear equations; Unique solution and infinite solutions; Solution by Row-equivalent method, inverse matrix methods and Cramer's rule up to three variables.
Suggested Readings:
1. Raghavachari, M.; Mathematics for Management; Tata McGraw-Hill Publishing Company Limited, New Delhi.
2. Bajracharya, B. C.; Business Statistics and Mathematics: M. K. Publishers and Distributors, Kathmandu.
3. Kolham, B.; Busy, R. C.; Ross, S. C.; Discrete Mathematical Structures: Prentice Hall of India Pvt. Ltd. New Delhi