ABSTRACT
This chapter presents basic mathematical concepts considered useful for understanding the subsequent chapters of this book. It covers arithmetic mean and mean deviation, Boolean algebra laws, probability definitions and properties, useful mathematical definitions, probability distributions, solving first-order differential equations by using Laplace transforms, problems, and references.
The useful mathematical definitions are the cumulative distribution function definition, the probability density function definition, the expected value definition, the Laplace transform definition, and the final value theorem Laplace transform definition. Similarly, the probability distributions are the binomial distribution, exponential distribution, Rayleigh distribution, Weibull distribution, and the bathtub hazard rate curve distribution.
At appropriate places, the chapter contains examples along with their solutions, and there are 10 problems at the end of the chapter to test the reader's comprehension in the area.
