STAT 414Introduction to Probability Theory
STAT(MATH) 414 is an introduction to the theory of probability for students in statistics, mathematics, engineering, computer science, and related fields. The course presents students with calculus-based probability concepts and those concepts can be used to describe the uncertainties present in real applications. Topics include probability spaces, discrete and continuous random variables, transformations, expectations, generating functions, conditional distributions, law of large numbers, central limit theorems. Students may take only one course from STAT(MATH) 414 and 418.
Prerequisites
From the catalog: “MATH 230 or Concurrent: MATH 232 or ( MATH 231 and RM 214 )”
Where it sits in degree plans
Suggested plans most often put it in Year 2 · Spring (6 programs).
Required in (1)
- Actuarial Mathematics and Statistics, Certificate
One of the options in (2)
- Electrical Engineering, B.S. (Capital)
- Statistics, Minor (Science)
Courses that list STAT 414 as a prerequisite (20)
- A-I 305 Algorithmic Foundations for Artificial Intelligence
- CMPEN 362 Communication Networks
- CMPSC 348 Data Science and Machine Learning for Computational Sciences
- CMPSC 432 Exploratory Data Mining
- CMPSC 446 Data Mining
- CMPSC 449 Foundations of Natural Language Processing
- CMPSC 466 Introduction to Quantum Computation
- CMPSC 489 Deep Learning for Computer Vision
- EE 362 Communication Networks
- EE 460 Communication Systems II
- MATH 319 Elementary Mathematical Statistics
- MATH 415 Introduction to Mathematical Statistics
- MATH 416 Stochastic Modeling
- MATH 448 Mathematics of Finance
- RM 214 Applications of Probability Theory to Actuarial Science
- RM 411 Long Term Actuarial Mathematics - Fundamentals
- STAT 319 Elementary Mathematical Statistics
- STAT 415 Introduction to Mathematical Statistics
- STAT 416 Stochastic Modeling
- STAT 463 Applied Time Series Analysis