Engineering involves a diverse array of courses, Mathematics being a core area of the same, says Dr. Kurunandan Jain.
Mathematics does not change with time, it only evolves.
He starts with explaining about Calculus and details about why it is so much more than memorising a few rules and formulas and applying them. He explains the right approach to use calculus is to understand the underlying concept and apply it creatively.
When it comes to Mathematics, there are many branches – Geometry (study of structure and shapes), Algebra (study of relationships), Probability (study of chance) etc. In the same way, Calculus is the study of change. It works on the rate of change of any given parameter. Hence, it finds applications in everything from biology, physics, and much more.
He goes on to explain about Graph theory and its applications. A graph is so much more than a bunch of straight lines, he says. When implemented to analyse complex problems, graphs are used in network applications, business marketing, electrical engineering, and many other day-to-day applications. Graphs simplify problems posed under various technological areas and offer comparative and time-bound analysis to find solutions. Even in the times of internet, everything from Google Maps to business solutions.
Moving on to Mathematical Biology, he explains how mathematics has contributed to Biology. For all science inventions and breakthroughs, hypotheses and related analysis plays a key part in determining the best course of action. Statistics helps in determining the populations’ reaction to a medicine or biological change by doing research on a comparatively small group of people, enabling biology to progress ahead based on probabilities.
Last but not the least, Dr. Kurunandan talks about number theory and cryptography. All social media messaging and interactions are secured with number theories and encryptions. All applications work on these mathematical tools to keep messages and communication content secure. By determining patterns between numbers and changing them over message in a pattern that can only be decoded at the receiver end is how encryption works. He elaborates about popular number theories and encryption methods like Julius Ceasar to further explain encryption and its application in day-to-day life.
Biological Modelling Using Calculus
Dr. Kurunandan talks about the role of calculus in the study of change in all fields of technology. He explains about the applications of calculus and its impact on prominent fields like biological modelling
Graph Theory And Its Applications
A graph is not just a bunch of straight lines, says Dr. Kurunandan. He explains about how graph theory and its applications in network applications, business marketing, electrical engineering etc.
Role Of Mathematics In Biology
Hypotheses and statistics have played a major part in all biological breakthroughs till date, explains Dr. Kurunandan. It helps understand the effects of various innovations on the population with a relatively small group of people
Number Theory And Cryptography
Dr. Kurunandan explains how encryption keeps all social messaging and content secure. The number theory and cryptography play an integral role in encoding and decoding messages securely and ensuring communication happens in a safe environment.