Dr. Brajesh Kumar Jha

Table of Content  Formulas: Differentiation  Integration: Type 1  Integration: Type 2 Calculus of Several Variables                 1 Functions of two variables               2 Limits of function of two variables              3 Continuity of function of two variables               4 Partial Differentiation Part 1               5 Partial Differentiation Part 2              6 Partial Differentiation Part 3               7 Total derivatives              8 Total derivatives                9 Maxima and minima .  ...

Return to Table of Content   Mathematics for Biotechnology and Data Science  Chapter 1: Set Theory  Chapter 2: Operation of Sets  Chapter 3: Application of Set Theory   Chapter 4: Venn Diagram    Chapter 5: Relation    Chapter 6:  MAPPING OR FUNCTIONS   Chapter 8: Inverse of a Function  Relations 1.      Introduction  :     Relations:  As we know and already studied about notions of relations and functions, domain, co-domain, and range, along with different types of specific real-valued functions and their graphs. The concept of the term ‘relation’ in mathematics has been drawn from the meaning of relation in the English language, according to which two objects or quantities are related if there is a recognisable connection or link between the two objects or quantities. Let A be the set of students of Class XII of a school, and B be the set of students of Class XI of the same s...