James Marengo
Professor
School of Mathematics and Statistics
College of Science
Minors Coordinator, Actuarial Science
585-475-6872
Office Hours
Monday 12:30-1:15 in Zoom for Math 251 Monday 1:15-2pm in Zoom for Stat 405 Wednesday 12:30-1:15 in Zoom for Math 251 Wednesday 1:15-2 in zoom for Math 295 Friday 1-3pm in Zoom for Stat 405 (help session)
Office Location
James Marengo
Professor
School of Mathematics and Statistics
College of Science
Minors Coordinator, Actuarial Science
Education
BA, MS, California State University; Ph.D., Colorado State University
585-475-6872
Currently Teaching
MATH-251
Probability and Statistics
3 Credits
This course introduces sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distributions of discrete and continuous random variables, joint distributions (discrete and continuous), the central limit theorem, descriptive statistics, interval estimation, and applications of probability and statistics to real-world problems. A statistical package such as Minitab or R is used for data analysis and statistical applications.
MATH-255
Actuarial Mathematics
3 Credits
This course provides challenging problems in probability whose solutions require a combination of skills that one acquires in a typical mathematical statistics curriculum. Course work synthesizes basic, essential problem-solving ideas and techniques as they apply to actuarial mathematics and the first actuarial exam.
MATH-295
Topics in Mathematical Problem Solving
3 Credits
This course develops strategies for solving problems that are chosen from a wide variety of areas in mathematics. Students present solutions to the class or instructor.
MATH-505
Stochastic Processes
3 Credits
This course explores Poisson processes and Markov chains with an emphasis on applications. Extensive use is made of conditional probability and conditional expectation. Further topics, such as renewal processes, Brownian motion, queuing models and reliability are discussed as time allows.
MATH-605
Stochastic Processes
3 Credits
This course is an introduction to stochastic processes and their various applications. It covers the development of basic properties and applications of Poisson processes and Markov chains in discrete and continuous time. Extensive use is made of conditional probability and conditional expectation. Further topics such as renewal processes, reliability and Brownian motion may be discussed as time allows.
STAT-405
Mathematical Statistics I
3 Credits
This course provides a brief review of basic probability concepts and distribution theory. It covers mathematical properties of distributions needed for statistical inference.
STAT-406
Mathematical Statistics II
3 Credits
This course is a continuation of STAT-405 covering classical and Bayesian methods in estimation theory, chi-square test, Neyman-Pearson lemma, mathematical justification of standard test procedures, sufficient statistics, and further topics in statistical inference.
In the News
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April 16, 2021
RIT student Quinn Kolt named 2021 recipient of prestigious Goldwater Scholarship
Quinn Kolt, a fourth-year applied mathematics and computer science double major from Solon, Ohio, has been awarded a Barry M. Goldwater Scholarship, the premier undergraduate research scholarship in the fields of math, natural sciences, and engineering in the United States.
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November 21, 2023
Team publishes two papers on the inspection paradox
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September 28, 2021
Marengo, Farnsworth publish paper