Professor Alexandru I. Suciu
MTH 1187 - Probability
Winter 2001
Course Information| Course: | MTH 1187 - Probability (Seq. 3, Key # 54614) |
| Web Site: | www.math.neu.edu/~suciu/mth1187/prob.w01.html |
| Instructor: | Prof. Alex Suciu |
| Course coordinator: | Prof. Sam Gutmann |
| Time and Place: | Mon., Wed. & Th., 10:30 AM -- 11:35 AM, in 247 CN |
| Office Hours: | Mon., Wed. & Th., 11:45 AM -- 12:45 AM, in 441 LA |
| Prerequisites: | MTH 1137 (Discrete Mathematics) or equivalent |
| Textbook: | Introduction to Probability (second revised edition), by Charles M. Grinstead & J. Laurie Snell, American Mathematical Society, 1997. A free version of this book is available for download here. It can be viewed using the equally free Adobe Acrobat Reader. |
| Grade: | 60% in-class exams, 40% final exam. The tests and final are all open book. The final will be common for all the sections and will be cumulative. |
Course Description|
The goal of the course is to teach the ideas of probabilistic reasoning, and the techniques of probabilistic calculation, thereby preparing students for the study of statistics. This is a non-calculus based course in introductory probability for computer science majors. It will mostly look at discrete probability spaces, but will also look at continuous spaces using either geometry or formulas. The course presents sample spaces, events, and axioms. It studies conditional probability and Bayes' Law, independence, random variables and their distributions, joint distributions, expected value, and variance. Topics also include the law of large numbers, the central limit theorem, and the use of probability in statistical inference. |
Schedule| Section 1.2 | 2, 3, 4, 7, 9, 16 (optional), 31 |
| Section 2.2 | 1a, 2ab, 5 (give value of integral), 8acdefg, 12 (optional) |
| Section 4.1 | 1, 2, 3, 4, 7, 9, 13, 15 (optional), 16, 21, 27, 32, 43 |
| Section 4.2 | 1abc, 4, 5ace |
| Section 5.1 | uniform, binomial, geometric, Poisson (optional) 1, 7, 8, 9 (optional), 27, 30 |
| Section 5.2 | uniform, exponential, normal 25, 26, 27, 28, 29 |
| Section 6.1 | (omit conditional expectations, martingales) 2, 4, 5, 6, 8, 18, 23 |
| Section 6.2 | 1, 2, 3, 4, 7, 8,10,14 |
| Section 6.3 | read and discuss |
| Section 7.1 | read and discuss |
| Section 8.1 | 1, 4, 5 |
| Section 9.1 | 1, 2, 3, 4, 6, 12 |
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Final exam: Wednesday, March 14, from 3:30pm - 5:30pm, in 110 Kariotis. |
Class Materials| Exam 1 | Quiz 1 |
| Practice problems for Exam 2 | Solutions to practice problems |
| Exam 2 | Solutions to Exam 2 |
| Make-up Exam 2 | Practice problems for Exam 3 |
| Exam 3 | Solutions to Exam 3 |
| FINAL EXAM | |
Grades
| Department of Mathematics | Office: | 441 Lake Hall | |
| Northeastern University | Phone: | (617) 373-4456 | |
| Boston, MA, 02115 | Email: |
 alexsuciu@neu.edu
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Started: January 4, 2001 Last modified: March 18, 2001
URL: http://www.math.neu.edu/~suciu/mth1187/prob.w01.html |