ABSTRACT
This chapter presents basic mathematical concepts considered useful to understand the subsequent chapters of this book. It covers arithmetic mean and mean deviation; Boolean algebra laws, probability definition and properties, mathematical definitions, probability distributions, solving first-order differential equations using Laplace transforms, problems, and references.
The mathematical definitions covered are the probability density function definition, the cumulative distribution function definition, the expected value definition, the Laplace transform definition, and the final-value theorem Laplace transform definition. Similarly, the probability distributions covered are the exponential distribution, the Rayleigh distribution, and the Weibull distribution.
At appropriate places, the chapter contains examples along with their solutions, and there are ten problems at the end of the chapter to test the reader’s comprehension in the area.
