Business Mathematics And Logical Reasoning

Paper Code: 
25BCP113
Credits: 
06
Contact Hours: 
90.00
Max. Marks: 
100.00
Objective: 

This course will enable the students 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: 

Course

Learning outcome

(at course level)

Learning and teaching strategies

Assessment Strategies

Course Code

Course

title

25BCP113

Business Mathematics and Logical Reasoning

(Theory)

 

CO 13 Construct equations, Ratio and Proportions and basic of Matrices with their uses in the real life.

CO 14 Calculate Interest, depreciation, Value of Money, Annuities, linear etc. which help them in various fields of accounting.

CO 15 Formulate Permutations, Combinations, Sequences, and Series for sorting many problems.

CO 16 Formulate Sets, Relations, and Functions with some basic application of Differential Equation and Integral Calculus.

CO 17 Resolve problems related to Number Series, Coding, Decoding, blood relations and direction tests.

CO 18 Contribute effectively in course specific interaction.

Approach in teaching:

Interactive Lectures, Discussions, Tutorials, Problem solving sessions, Presentations

 

Learning activities for the students:
Self-learning assignments, Case Study Analysis, Presentations, Group Discussions

 

Continuous Assessment Test, Semester End Examinations, Quiz, Solving Numerical Problems, Assignments, Class Presentations, Individual and group projects.

 

18.00
Unit I: 
Ratio and proportion, Indices and Logarithms
  • Ratio and proportion, Indices and Logarithms: Ratio and proportion and Time and work-related problems, Laws of Indices, Exponents and Logarithms and Anti Logarithms.
  • Equations: Equations: Linear Simultaneous linear equations up to three variables, Quadratic and Cubic equations in one variable. Applications in Business related problems.

 

18.00
Unit II: 
Linear Inequalities and Mathematics of Finance
  • Linear Inequalities: Linear Inequalities: Linear Inequalities in one and two variables and the solution space.
  • Mathematics of Finance: Simple Interest, Compound interest, Nominal and Effective Rate of Interest, Present Value, Net Present Value, Future Value, Perpetuity, Annuities, Sinking Funds, Calculating of EMI, Calculations of Returns: Nominal and Effective rate of Return, Compound Annual growth rate (CAGR)

 

18.00
Unit III: 
Permutations and Combinations and Sequence and series
  • Permutations and Combinations: Basic concepts of Permutations and combinations: Introduction, the factorial, permutations, results, circular permutations, permutations with restrictions, 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 and Business Applications.

 

18.00
Unit IV: 
Sets,Differential and Integral calculus
  • Sets, Relations, and Functions, Basics of Limits and Continuity functions
  • Basic applications of Differential and Integral calculus in Business and Economics (Excluding the trigonometric applications)

 

18.00
Unit V: 
:Miscellaneous concepts
  • Number series coding and Decoding and odd man out
  • Direction Tests
  • Seating Arrangements
  • Blood Relations

 

Essential Readings: 
  • Study Material Published by Institute of Chartered Accountants of India

 

SUGGESTED READINGS:

  • RN.Arora& S. Arora.C.A. Foundation Course Statistics, Sultan Chand and Sons
  • Sancheti and Kapoor Statistics Theory and Practice, Sultan Chand and Sons, New Delhi

 

References: 

E-RESOURCES:

 

JOURNALS:

  • The Chartered Accountant Journal
  • ICAI Student Journal

 

Academic Year: 
2025-2026
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