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Engineering Mathematics II: Probabilistic Modeling and Analysis of Computer Systems

This course, taught by TaeKyoung Kwon, provides foundational mathematics for modeling and analyzing computer systems through a probabilistic lens. Students will explore probability, statistics, and random processes using Alberto Leon-Garcia’s textbook, "Probability, Statistics, and Random Processes for Electrical Engineering." The curriculum includes topics such as random variables, conditional probability, estimation, and Markov chains. Classes are held Mondays and Wednesdays, with rigorous evaluation methods including exams, quizzes, and attendance policies.

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Engineering Mathematics II: Probabilistic Modeling and Analysis of Computer Systems

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  1. Engineering Math II TaeKyoung Kwon tkkwon@snu.ac.kr

  2. Overview • objectives • Teach basic math to model and analyze computer systems from a probabilistic viewpoint • Deal with probability, statistics, random process • Course materials • Textbook • Writing in blackboard • Bring your notebook (not computer) • exercise and homework

  3. textbook • Probability, Statistics, and Random Processes For Electrical Engineering, • Alberto Leon-Garcia, • Pearson • 3rd Ed. No Korean textbook!

  4. outline (1/2) • Probability, random variable (RV) • Conditional probability, expectation, variance • Discrete RVs • continuous RVs • generating functions • joint distribution • joint conditional probability, functions of RVs

  5. outline (2/2) • Law of large numbers • central limiting theorem • Estimation • Hypothesis test • Random process • Markov Chain

  6. administrivia • Classroom: 301-203 • Time: Mon. and Wed., 11:00am – 12:15pm • TA: Jaeyoung Choi • Office: 301-553-1 • Tel: 880-1848 • jychoi13@mmlab.snu.ac.kr • Slides and announcements • Check http://mmlab.snu.ac.kr/ • -> courses -> undergraduate

  7. evaluation • 30%: mid-term exam • 30%: final exam • 20%: quiz, homework • 20%: attendance • Two latenesses will be counted as one absence • Students absent more than 4 times may get F • I will try my best to start every class 11:00am, sharp

  8. My office hour • 9:30-11:00am on Mon. and Wed. • My office: 301-503 • tkkwon@snu.ac.kr • Phone: 880-9105

  9. No cheating • Zero Tolerance Cheating Policy • Cheating in this class is defined as knowingly or unknowingly participating in the submission of unoriginal work for any test. • Answer to roll-call on behalf of another guy is also cheating • If I find out that a student has cheated • Assign a fail grade to the student • Dismiss the student for the remainder of the class

  10. Manners in the class • Eating/drinking is OK • as long as noise is tolerable • As long as not smelly • Going to restroom is OK • Turn off your phones, music devices,… • Using laptops, tablet PCs is OK • Only for class • mute mode

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