Basic Mathematics

Paper Code: 
BIF 121 B
12.00
Unit I: 
Calculus

Limits, Complete Differentials, Partial differentials of functions with one variable and multiple variables.

14.00
Unit II: 
Integration & Differential Equation

Elementary Integration, Definite and Non-definite integral; Series, Logarithms. Ordinary differential equations (first order), Partial differential equations.

12.00
Unit III: 
Vector

Addition, subtraction, dot, cross, scalar triple product, divergence, curl of a vector, equation of normal

12.00
Unit IV: 
Matrix algebra

Addition, subtraction, multiplication, transpose inverse, and conjugate of matrix etc.

10.00
Unit V: 
Trigonometric functions

Sin, Cos, Tan, Cot, Series expansion of these functions and other related functions

ESSENTIAL READINGS: 

1. G. C. Sharma & Madhu Jain, “Mathematics for BCA”, Oscar Publication. 2. R. D. Sharma, “Mathematics Vol-2”, Dhalpat Raj & Sons. (For Unit-I) 3. S. L. Loney., “The Elements of Co-ordinate Geometry Part-I”, Book Palace, New Delhi.

REFERENCES: 

1. Tom M. Apostol, “Calculus Volume II”, 2nd Edition, John-Wiley & Sons, 2002. 2. S. Balachandra Rao, C.K. Shantha,“Differential Calculus”,New Age International(P) Ltd. 3. Frank Ayres Jr., Elliot Mendelson, “Calculus”, 4th Edition, Mc-Graw Hill International Edition. 4. Alexander Isaev, “Introduction to Mathematical Methods in Bioinformatics”, Springer

Academic Year: