MATH 3338 - Probability - University of Houston

# MATH 3338 - Probability

***This is a course guideline.  Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***

Prerequisites: MATH 1432

Course Description: Discrete and continuous probability distributions, including multivariate and joint distributions. Random variables, cumulative distribution functions, density functions, expectation, variance and covariance. Independence of events, and independence of random variables. Common discrete and continuous distributions. Law of Large Numbers and the Central Limit Theorem.

Text: A First Course in Probability | Edition: 9, Pearson.  Sheldon Ross. ISBN: 9780321794772

Learning Objectives: To provide the basic probability background for computer scientists, mathematicians and mathematical biology who have a minor in mathematics. This course provides indispensable education for those who need to learn the basic probability theory required for subsequent studies in pattern recognition, biomedical imaging, geosciences, information theory, or for those who intent to do research in biology and need to use statistical methods for their experimental design and analysis. The course is absolutely necessary for all those who intent to pursue a career as an actuary or a financial engineer. This is also a very good course for finance/business majors, especially for those who would like to venture in investments and stock market and need to learn the basics for stock market analysis using time-series.

Syllabus:

• Chapter 1, all but section 1.5
• Chapter 2, all but sections 2.6 and 2.7
• Chapter 3. Additionally, to Chapter 3 we cover sensitivity, specificity and positive predictive value of diagnostic tests as well as false positives/negatives and the Receiver Operating Characteristic curve of a binary classification system.
• Chapter 4, sections 1-10.
• Chapter 5, Sections 1-7
• Chapter 6, sections 1-5, section 7
• Chapter 7, sections 1-5 and perhaps section 7.
• Chapter 8, sections 3 and 4 without proofs.

CSD Accommodations:

Accommodation Forms: Students seeking academic adjustments/auxiliary aids must, in a timely manner (usually at the beginning of the semester), provide their instructor with a current Student Accommodation Form (SAF) (paper copy or online version, as appropriate) from the CSD office before an approved accommodation can be implemented.

Details of this policy, and the corresponding responsibilities of the student are outlined in The Student Academic Adjustments/Auxiliary Aids Policy (01.D.09) document under [STEP 4: Student Submission (5.4.1 & 5.4.2), Page 6]. For more information please visit the Center for Students with Disabilities Student Resources page.

Additionally, if a student is requesting a (CSD approved) testing accommodation, then the student will also complete a Request for Individualized Testing Accommodations (RITA) paper form to arrange for tests to be administered at the CSD office. CSD suggests that the student meet with their instructor during office hours and/or make an appointment to complete the RITA form to ensure confidentiality.

*Note: RITA forms must be completed at least 48 hours in advance of the original test date. Please consult your counselor ahead of time to ensure that your tests are scheduled in a timely manner. Please keep in mind that if you run over the agreed upon time limit for your exam, you will be penalized in proportion to the amount of extra time taken.

UH CAPS

Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach (CAPS) by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus.