Advanced Mathematics

Introduction 

People such as scientists, sociologists and town planners are often more concerned with the rate at which a particular quantity is growing than with its current size. The director of education is more concerned with the rate of at which the school population is increasing or decreasing than with what the population is now, because he/she has to plan for the future and ensure that there are enough(and not too many) school places available to meet demand each year. The scientists may need to know the rate at which a colony of bacteria is growing rather than how many of the bacteria exists at this moment, or the rate at which a liquid is cooling rather than the temperature of the liquid now, or the rate at which a radioactive material is decaying rather than how many atoms currently exist.

One thing that each of these populations has in common is that their rate of increase is proportional to the size of the population at any time. Exponential and logarithmic equations are really relevant in our day to day activities. The above events show us the areas where this unit finds use in our daily activities.