MATH 170AProbability Theory I
Mathematics · 4 units · Undergraduate upper division (100-199)
Not open to students with credit for course 170E, Electrical and Computer Engineering 131A, or Statistics 100A. Rigorous presentation of probability theory based on real analysis. Probability space, probability and conditional probability, independence, Bayes’ rule, discrete and continuous random variables and their distributions, expectation, moments and variance, conditional distribution and expectation, weak law of large numbers.
P/NP or letter grading.
When it runs
- Winter 2026
- Winter 2027
Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.
Requisites
Official UCLA wording
Requisites: courses 32B, 33A, 131A.
Requires
Everything that has to come before this course, not just the courses named in the requisite above.
MATH 170A
- MATH 32BCalculus of Several Variables
- MATH 33ALinear Algebra and Applications
- MATH 3BCalculus for Life Sciences Students
- MATH 131AAnalysis
- MATH 33BDifferential Equations
3 direct requisites. Showing 14 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.
Unlocks
What this course is a requisite for, and what those courses lead to in turn.
MATH 170A16 more beyond
- MATH 156Machine Learning
- MATH M148Experience of Data Science
- STATS 147Data Technologies for Data Scientists
- STATS M148Experience of Data Science
- STATS C163Generative Data Science
- STATS 184Societal Impacts of Data
- MATH 168Introduction to Networks
- BIOMATH M203Stochastic Models in Biology
- MATH 170BProbability Theory II
- MATH 178BFoundations of Actuarial Mathematics: Additional Topics in Long-Term Actuarial Mathematics
- MATH 178CFoundations of Actuarial Mathematics: Loss Models
- BIOSTAT 270Stochastic Processes
- MATH 178BFoundations of Actuarial Mathematics: Additional Topics in Long-Term Actuarial Mathematicsanother path to it
- BIOMATH M257Computational Methods for Biostatistical Research
- STATS C151Experimental Design
- BIOMATH M280Statistical Computing
- BIOSTAT M257Computational Methods for Biostatistical Research
- STATS 170Introduction to Time-Series Analysis
- BIOMATH M281Survival Analysis
- STATS 102BIntroduction to Computation and Optimization for Statistics
- ECON 109CAdvanced Sequence: Computational Economics
- ECON 109DAdvanced Sequence: Econometric Theory
- ECON 109DLAdvanced Sequence: Econometric Theory Laboratory
- ECON 109EAdvanced Sequence: Applied Empirical Economics
- STATS 102CIntroduction to Monte Carlo Methods
- STATS 140XPCollaboration in Data Science
- STATS 141XPPractice of Data Science
- STATS 143Introduction to Research in Statistics
- C&S BIO M175Stochastic Processes in Biochemical Systems
- MATH 171Stochastic Processes
- EPS SCI 205Inverse Theory and Data Interpretation
- MATH 174EMathematics of Finance for Mathematics/Economics Students
- MATH 179Advanced Topic in Financial Mathematics
- CH ENGR M148Introduction to Data Science
- MATH 178AFoundations of Actuarial Mathematics: Life Insurance and Annuities
- MATH 276Topics in Network Science
- CHEM M186Stochastic Processes in Biochemical Systems
- COM SCI 112Modeling Uncertainty in Information Systems
- COM SCI 212AQueueing Systems Theory
- COM SCI 218Advanced Computer Networks
- COM SCI 246Web Information Management
- COM SCI 262ALearning and Reasoning with Bayesian Networks
- COM SCI 262ZCurrent Topics in Cognitive Systems
- STATS M241Current Topics in Causal Modeling, Inference, and Reasoning
- EC ENGR M119Fundamentals of Embedded Networked Systems
- ECON 141Topics in Microeconomics: Mathematical Finance
32 courses list this as a requisite. Showing 60 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.