Business Mathematics and Logical Reasoning

Paper Code: 
BCP-113
Credits: 
6
Contact Hours: 
90.00
Max. Marks: 
100.00
Objective: 

Course Objectives:

  • To develop an understanding of the basic mathematical tools and their application in Business, Finance and Economics and to develop logical reasoning skills and apply the same in simple problem solving.

 

Course Outcomes (COs):

Course

Learning outcome (at course level)

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

BCP-113

Business Mathematics and Logical Reasoning

Students will able to:

  • CO 17 Understand how to find Logarithms and Anti-Logarithms, Ratio and Proportions and basic of Matrices with their uses in the real life.
  • CO 18 Develop the concept of Interest, Deprecation, Value of Money, Annuities etc. which help them in various field of accounting.
  • CO 19 Understand the basic concept of Permutation, Combinations and Sequence and Series for sorting many problems.
  • CO 20 Understand about Sets, Relations and Functions with some basic application of Differential Equation and Integral Calculus.
  • CO 21 Understand logical reasoning based on real life problems.
  • CO 22 Resolve problems related with Number Series, Coding and Decoding.

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, Reading assignments

 

Learning activities for the students:

Self learning assignments, Effective questions, Seminar presentation,

 

Class test, Semester end examinations, Quiz, Solving problems in tutorials, Assignments, Presentation, Individual and group projects

 

Unit I: 
-
  • Ratio and Proportion, Indices and Logarithms: Ratio and Proportion (Business Applications related to Ration and Proportion) Laws of Indices, Exponents and Logarithms and Anti Logarithms.
  • Equations and Matrices: Equations: Simultaneous linear equations up to three variables, Quadratic and Cubic equations in one variable. Matrices: Algebra of Matrices, Inverse of a Matrix and determinants, solving system of equations by Cramer’s Rule (involving not more than three variables).

 

Unit II: 
-
  • Linear Inequalities with Course Objectives:  Functions and Optimization w.r.t. Course Objectives:  function.
  • Time value of Money: Simple Interest, Compound interest, Depreciation, Effective Rate of Interest, Present Value, Net Present Value, Future Value, Perpetuity, Annuities, Sinking Funds, Valuation of Bonds, Calculating of EMI, Calculations of Returns: a) Nominal Rate of Return b) Effective Rate of Return c) Compound Annual growth rate (CAGR)

 

Unit III: 
-
  • Permutations and Combinations: Basic concepts of Permutations and Combinations: Introduction, the Factorial, Permutations, results, Circular Permutations, Permutations with restrictions, And Combinations with standard results.
  • Sequence and Series: Introduction Sequences, Series, Arithmetic and Geometric progression, Relationship between AM and GM and Sum of n terms of special series

 

Unit IV: 
-
  • Sets, Relations and Functions
  • Basic applications of Differential and Integral calculus (Excluding the trigonometric applications), Applications of Marginal Cost and Marginal Revenue etc.

 

Unit V: 
-
  • Logical reasoning: Number series, Coding and Decoding and odd man out, Direction Tests, Seating Arrangements, Blood Relations, Syllogism

 

References: 
  • Study Material Published by Institute of Chartered Accountants of India
  • C.A. Foundation Course Statistics, RN. Arora & S. Arora, Sultan Chand and Sons

Note- The candidate shall be permitted to use battery operated pocket calculator that should not have more than 12 digits, 6 functions and 2 memories and should be noiseless and cordless

Academic Year: 
2020-2021
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