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: In case the course website is unavailable, files for the current year are backed up on Google Drive.
  • Information regarding the midterm exam [Posted @ 9AM on Sep 24; Last updated @ 10AM on Sep 24]
    • Check this course website regularly for breaking news about the midterm.
    • Date: October 4, 2018 (Thursday)
    • TIME: 9:00-11:00
    • ROOMs: BKD 2501-2, 2401
    • Information about the midterm exam:
      • 8 pages (including the cover page)
        • To save time, read the cover page (to be posted) here before going into the exam room.
      • 14+1 = 15 questions. (6+1+5+4+7+4+4+1+1+8+8+3+5+9+1 = 67 pt)
      • Cover all the materials that we discussed in class and practice in the HWs.
        • Material Distribution (score-wise): 8 (CH1-2) + 19 (CH3-4) + 15 (CH5) + 25 (CH6)
    • Closed book. Closed notes.
    • (1 pt) One A4 page allowed.
      • Must be hand-written in your own handwriting.
      • No small pieces of paper notes glued/attached on top of it.
      • Indicate your name and ID on the upper right corner of the sheet (in portrait orientation).
      • Do not modify (,e.g., add/underline/highlight) content on the sheet inside the exam room.
      • Make sure that another side is blank. This will be used for the final exam.
      • Submit your A4 sheet with your exam. (You will get it back before the final exam.)
      • Q: I don't need any formulas. What should I do?
        A: Bring in and submit a blank sheet of paper with your name and ID. Note that you can still only use one side on the final exam.
      • Violating the above instructions will cost you 10 pt.
    • Basic SIIT-approved calculators, e.g,. FX-991MS, are permitted, but borrowing is not allowed.
    • For your studying pleasure....
  • 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)
  6. HW6 (Not Due)
  7. Self-Evaluation Form (1) (Due: Oct 4)
  8. HW7 (Due: Oct 25)
  9. HW8 (Due: Nov 6)
  10. HW9 (Due: Nov 13)


Reading Assignment

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

More References

Misc. Links