MATH 180AIntroduction to Probability
Probability spaces, random variables, independence, conditional probability, distribution, expectation, variance, joint distributions, central limit theorem. (Two units of credit offered for MATH 180A if ECON 120A previously, no credit offered if ECON 120A concurrently. Two units of credit offered for MATH 180A if MATH 183 or 186 taken previously or concurrently.) Prior or concurrent enrollment in MATH 109 is highly recommended.
Prerequisites
From the catalog: “Math 20C or MATH 31BH, or consent of instructor.”
Where it sits in degree plans
Suggested plans most often put it in Year 4 · Fall (2 programs).
Required in (5)
- Mathematical Biology
- Mathematics (Applied) (B.S.)
- Mathematics—Secondary Education (B.A.)
- Probability and Statistics (B.S.)
- Public Health with Concentration in Biostatistics (B.S.)
One of the options in (2)
- Oceanic and Atmospheric Sciences (B.S.)
- Public Health (B.S.)
Courses that list MATH 180A as a prerequisite (42)
- COGS 118A Supervised Machine Learning Algorithms
- COGS 118B Introduction to Machine Learning
- COGS 118D Computational Modeling and Analysis of Human Behavior
- COGS 181 Neural Networks and Deep Learning
- COGS 182 Introduction to Reinforcement Learning
- CSE 150A Introduction to Artificial Intelligence: Probabilistic Reasoning and Decision-Making
- CSE 150B Introduction to Artificial Intelligence: Search and Reasoning
- CSE 151A Machine Learning: Learning Algorithms
- CSE 151B Deep Learning
- CSE 153 Machine Learning for Music
- CSE 153R Machine Learning for Music
- CSE 156 Statistical Natural Language Processing
- CSE 158 Recommender Systems and Web Mining
- CSE 158R Recommender Systems and Web Mining
- DSC 140A Probabilistic Modeling and Machine Learning
- DSC 140B Representation Learning
- DSC 148 Introduction to Data Mining
- DSC 155 Hidden Data in Random Matrices
- ECE 155 Digital Communications Theory
- ECE 157A Communications Systems Laboratory I
- ECON 120B Econometrics B
- ECON 129 Cities, Inequality, Innovation
- ECON 171 Decisions Under Uncertainty
- ECON 172A Operations Research A
- ECON 190 An Introduction to Research in Economics
- MAE 146 Introduction to Machine Learning Algorithms
- MATH 112A Introduction to Mathematical Biology I
- MATH 112B Introduction to Mathematical Biology II
- MATH 114 Introduction to Computational Stochastics
- MATH 180B Introduction to Stochastic Processes I
- MATH 181A Introduction to Mathematical Statistics I
- MATH 182 Hidden Data in Random Matrices
- MATH 189 Exploratory Data Analysis and Inference
- MATH 193A Actuarial Mathematics I
- MATH 194 The Mathematics of Finance
- MATH 294 The Mathematics of Finance
- MGT 100 Customer Analytics
- MGT 151R Business Analytics
- MGT 153 Information Technology in Business Analytics
- MGT 160 Experiments in Firms
- MGT 180 Business Finance
- MGT 180R Business Finance