BCM3A11 BASIC NUMERICAL METHODS
Lecture Hours per week: 5, Credits: 4
Internal: 20, External: 80, Examination 2.5 Hours
Objectives:
To enable the students to acquire knowledge of numerical equations, matrices progressions,
financial mathematics and descriptive statistics
At the end of this course, the students will be able to understand, numerical equations, matrix,
progression, financial mathematics, descriptive statistics and their applications.
Module I
Numerical expressions and Equations: Simultaneous linear equations (up to three variables),
Quadratic equations in one variable-factorization and quadratic formula
(10 Hours, 10 marks)
Module II
Matrices: introduction - type of matrices – trace and transpose and determinants - matrix
operations – adjoint and inverse –rank- solving equations by matrices: Cramer‘s Rule (not
more than three variables).
(15 Hours, 15 marks)
Module III
Sequence, Series and Progression : Concepts and differences - Arithmetic progression- n th
term and sum of n terms of an AP - Insertion of Arithmetic means in AP - Geometric
progression- ‗n‘th term and sum of n terms of an GP - Insertion of Geometric Mean in GP -
Harmonic progression.
(20 Hours, 15 marks
Module IV
Interest and Time value: Concept of interest-Types of interest: Simple interest and compound
interest – nominal, real and effective rate of interest - Future value and Present Value; Annuity
and Perpetuity - Computing future and present values of annuity (regular and immediate) -
multi and growing period perpetuity - Compound annual growth rate - computation of
Equated Monthly Instalments (EMI).
(15 Hours, 15 marks)
Module V
Descriptive Statistics: Measures of Central Tendency – Mean: Arithmetic mean, Geometric
mean and Harmonic Mean- Median, Mode and other position values - Measures of
Dispersion: mean deviation, quartile deviation, standard deviation and coefficient of variation
- Measures of Skewness and Kurtosis.
(20 Hours, 25 marks)
Reference Books
1.Business Mathematics and Statistics- N G Das & J K Das (Tata McGraw Hill)
2. Basic Mathematics and its Application in Economics – S. Baruah (Macmillan )
3. Mathematics for Economics and Business – R. S. Bhardwaj (Excel Books)
4. Business Statistics – G. C. Beri (Tata McGraw Hill)
5. Fundamentals of Statistics – S.C.Gupta (Himalaya Publishing
House) 6.SP Gupta ,Statistical Methods, Sultan Chand
7.Dinesh Khattar-The Pearson guide to quantitative aptitude for competitive examinations.
8. Dr. Agarwal.R.S – Quantitative Aptitude for Competitive Examinations, S.Chand and
Company Limited.
9. Abhijit Guha, Quantitative Aptitude for Competitive Examinations, Tata Mcgraw Hill
- Teacher: Layyina P P
Skill Level: Beginner
