BUSINESS MATHEMATICS AND LOGICAL REASONING

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

Course Outcomes (COs):

Learning outcome (at course level)

Learning and teaching strategies

Assessment Strategies

On successful completion of this subject, students should be able to:

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

CO 14:Analyze the concept of Interest, Deprecation, Value of Money, Annuities etc. which help them in various field of accounting.

CO 15:Formulate Permutation, Combinations and Sequence 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:Appraise the logical reasoning based on real life problems.

CO 18: Resolve problems related with Number Series, Coding and Decoding.

Interactive Lectures, Discussion, Tutorials, Reading assignments. Self-learning assignments, Effective questions, Seminar presentation,

 

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

 

18.00
Unit I: 
  • 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 with Course Objectives: Functions and Optimization Self-learning Objective 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)

18.00
Unit III: 
  • 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, 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: 

• Logical reasoning: 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

References: 

RN.Arora & S. Arora.C.A. Foundation Course Statistics, Sultan Chand and Sons
E-RESOURCES:
https://www.icai.org/post.html?post_id=17790
JOURNALS:
The Chartered Accountant Journal /ICAI Student Journal

Academic Year: