Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
MATH218 PROBABILITY and RANDOM PROCESSES COURSE OBJECTIVES This Course aims to provide basic and some further concepts of probability and random processes including the axioms of probability, Bayes' theorem, random variables and sums of random variables, law of large numbers, the central limit theorem and its applications, confidence intervals, discrete and continuous-time random processes, elementary introduction to queueing theory. TEXTBOOK “Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers, Roy D. Yates and David J. Goodman COURSE OUTLINE Week 1 Chapter 1 2 1 3 2 4 2 5 3 6 7 8 9 10 11 3 4 12 10 13 14 12 12 5 6 10 Experiments, Models and Probabilities: Probability Axioms, Conditional Probability Independence, Tree Diagrams, Counting Methods, Independent Trials Discrete Random Variables: Probability Mass Functions, Cumulative Distribution Function, Averages, Functions of Random Variables Families of Discrete Random Variables: Bernoulli, Geometric, Binomial, Pascal, Poisson, Discrete Uniform Expected Value, Variance and Standard Deviation, Conditional Probability Mass Function Continuous Random Variables: Probability Density Function, The Cumulative Distribution Function, Expected Values Families of Continuous Random Variables Pairs of Random Variables Midterm exam Random Vectors Sums of Random Variables Stochastic Processes: Definition, Examples and Types of SPs, IID Random Sequences The Bernoulli Processes, The Poisson Processes, Expected Value and Correlation, Gaussian Processes Markov Chains Markov Chains ASSIGNMENTS: Assignments are individual unless specifically stated otherwise. RULES FOR ATTENDANCE: Attendance is required at all times. Students are expected to come to class fully prepared to discuss textbook readings and course assignments. Some percentage of your final grade will be based on your attendance and class participation. HOMEWORK POLICY: Homework problems are the best preparation for exams. You should try to work the homework problems without constant reference to the text or passively receiving help from others. I encourage to discuss problems with others, but you should try to do the actual problems yourself. If you have gotten the idea about how to solve a problem from another person or by looking things up in the text, try to do a related problem without outside aid. COURSE GRADING Course grades will be based on a weighted average based on the following: Midterm Exam Quizes/ Assignments Participation Final Exam 30% 15% %5 50%