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

Prerequisites: MATH 2414

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. 

Grading: Please consult your instructor's syllabus regarding any and all grading guidelines.

Justin Dart Jr. Center Accommodations:

Academic Adjustments/Auxiliary Aids: The University of Houston System complies with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, pertaining to the provision of reasonable academic adjustments/auxiliary aids for students who have a disability. In accordance with Section 504 and ADA guidelines, University of Houston strives to provide reasonable academic adjustments/auxiliary aids to students who request and require them. If you believe that you have a disability requiring an academic adjustments/auxiliary aid, please visit Justin Dart Jr. Student Accessibility Center website at https://www.uh.edu/accessibility/ for more information.

UH CAPS

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