INTRODUCTION TO PROBABILITY: MATH 180ABC (FALL, WINTER, SPRING 1996-97)
Probabilistic models are used to describe a wide variety of random phenomena in the physical, biological and engineering sciences. The three quarter sequence, Math 180ABC, covers the mathematical foundations of probability theory and stochastic processes. (Stochastic processes are probabilistic models of random phenomena that evolve with time.) Math 180A provides the fundamentals of probability theory, whilst Math 180BC focus on stochastic processes. In 1996-97, the Math 180ABC sequence will be taught by Professor R. J. Williams.

  • Math 180A -- Introduction to Probability, Fall 1996
    This course provides a basic foundation in probability theory. Topics to be covered include probability spaces, conditioning and independence (including Bayes rule), random variables, probability distributions, expectations, moments, laws of large numbers and the central limit theorem. These concepts will be illustrated throughout with examples. Math 180A is a common prerequisite for Math 180BC and Math 181BC (Introduction to Mathematical Statistics). For more information on this course, including reading assignments, homework, and exam dates, click here.

  • Math 180BC -- Introduction to Probability -- Stochastic Processes, Winter and Spring, 1997.
    In these two quarters, a variety of stochastic processes used in modeling will be introduced and illustrated with applications. Typical processes include random walks, Poisson processes, Markov chains, and a selection from branching processes, queueing processes and regenerative processes.
    The text for these two courses will be An Introduction to Stochastic Modelling, H. M. Taylor and S. Karlin, Academic Press.
    For more information about this course, please contact Professor Williams at williams@math.ucsd.edu and click here.
    Links related to the above courses
  • Chance web page
  • David Griffeath's Primordial Soup Kitchen and Graphical Aids for Stochastic Processes