Everything we do, everything that happens around us, obeys the laws of probability. We can no more escape them than we can escape gravity... "Probability," a philosopher (Bishop Butler) once said, "is the very guide of life." We are all gamblers who go through life making countless bets on the outcome of countless actions.

Every field of science is concerned with estimating probability. A physicist calculates the probable path of a particle. A geneticist calculates the chances that a couple will have blue-eyed children. Insurance companies, businessmen, stockbrokers, sociologists, politicians, military experts - all have to be skilled in calculating the probability of the events with which they are concerned.

[Gardner, 1986]


Probability theory is the branch of mathematics that tells us how to estimate degrees of probability. If an event is certain to happen, it is given a probability of 1. If it is certain not to happen, it has a probability of 0.

This course introduces the principles of probability and random processes to undergraduate students in electronics and communication. The topics to be covered include random experiments, events, probability, discrete and continuous random variables, probability density function, cumulative distribution function, functions of random variables, expectations, law of large numbers, central limit theorem, introduction to random processes, Gaussian random process, autocorrelation and power spectral density.


  • Note that we also share the tutorial/make-up session with ECS332. See Google calendar below.
  • This site can be accessed via ecs315.prapun.com.
  • Welcome to ECS315! Feel free to look around this site.

General Information

Handouts and Course Material

Problem Set

  1. HW 1 (Due: Aug 28)
  2. HW2 (Due: Sep 4)
  3. HW3 (Due: Sep 11)
  4. HW4 (Due: Sep 18)
  5. HW5 (Due: Sep 25)


Reading Assignment

  1. Section 1.2 in the lecture notes
  2. Section 2.5 in the lecture notes

More References

Misc. Links