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Applied Mathematics-Economics

The Applied Mathematics-Economics concentration is designed to reflect the mathematical and statistical nature of modern economic theory and empirical research. This concentration has two tracks. The first is the advanced economics track, which is intended to prepare students for graduate study in economics. The second is the mathematical finance track, which is intended to prepare students for graduate study in finance, or for careers in finance or financial engineering. Both tracks have A.B. degree versions and Sc.B. degree versions, as well as a Professional track option. 

Standard Program for the A.B. degree (Advanced Economics track):

Prerequisites:
Introductory Calculus, Part II
Linear Algebra
Course Requirements:
Applied Mathematics Requirements
(a) 1
APMA 0350
APMA 0360
Applied Ordinary Differential Equations
and Applied Partial Differential Equations I 2
2
Select one of the following: 1
Introduction to Scientific Computing (preferred)
Introduction to Scientific Computing and Problem Solving
Computing Foundations: Data
Introduction to Object-Oriented Programming and Computer Science
Computer Science: An Integrated Introduction
Select one of the following: 1
Operations Research: Probabilistic Models
Operations Research: Deterministic Models
APMA 1650Statistical Inference I1
or APMA 1655 Statistical Inference I
(b) 1
Select one of the following: 1
Operations Research: Probabilistic Models
Operations Research: Deterministic Models
Methods of Applied Mathematics
Applied Dynamical Systems
Statistical Inference II
Computational Probability and Statistics
Monte Carlo Simulation with Applications to Finance
Recent Applications of Probability and Statistics
Analysis: Functions of One Variable
Economics Requirements:
ECON 1130Intermediate Microeconomics (Mathematical) 31
ECON 1210Intermediate Macroeconomics1
ECON 1630Mathematical Econometrics I1
Two 1000-level courses from the "mathematical-economics" group: 42
Welfare Economics and Social Choice Theory
Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
Industrial Organization (Mathematical)
Bargaining Theory and Applications
Designing Internet Marketplaces
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Investments II
Theory of Behavioral Economics
Theory of Economic Growth
The Theory of General Equilibrium
Game Theory and Applications to Economics
One 1000-level course from the "data methods" group: 41
Economics of Education I
Labor Economics
Health, Education, and Social Policy
Economics of Global Warming
Environmental Issues in Development Economics
Health Economics
Inequality of Opportunity in the US
The Economics of Mass Media
The Economics of Social Policy
Public Economics
Economic Development
Health, Hunger and the Household in Developing Countries
Applied Research Methods for Economists
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
ECON 1765
Finance, Regulation, and the Economy
ECON 1825
Behavioral Economics and Public Policy
ECON 1830
Behavioral Finance
One additional 1000-level economics course. 51
Total Credits13

Standard program for the Sc.B. degree (Advanced Economics track):

Prerequisites:
Introductory Calculus, Part II
Linear Algebra
Course Requirements:
Applied Mathematics Requirements
(a) 1
APMA 0350
APMA 0360
Applied Ordinary Differential Equations
and Applied Partial Differential Equations I 2
2
Select one of the following:1
Introduction to Scientific Computing (preferred)
Introduction to Scientific Computing and Problem Solving
Computing Foundations: Data
Introduction to Object-Oriented Programming and Computer Science
Computer Science: An Integrated Introduction
Select one of the following:1
Operations Research: Probabilistic Models
Operations Research: Deterministic Models
APMA 1650Statistical Inference I1
or APMA 1655 Statistical Inference I
(b) 1
Select two of the following:2
Operations Research: Probabilistic Models
Operations Research: Deterministic Models
Methods of Applied Mathematics
Applied Dynamical Systems
Statistical Inference II
Computational Probability and Statistics
Monte Carlo Simulation with Applications to Finance
Recent Applications of Probability and Statistics
Analysis: Functions of One Variable
Economics Requirements:
ECON 1130Intermediate Microeconomics (Mathematical) 31
ECON 1210Intermediate Macroeconomics1
ECON 1630Mathematical Econometrics I1
Three 1000-level courses from the "mathematical-economics" group: 43
Welfare Economics and Social Choice Theory
Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
Industrial Organization (Mathematical)
Bargaining Theory and Applications
Designing Internet Marketplaces
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Investments II
Theory of Behavioral Economics
Theory of Economic Growth
The Theory of General Equilibrium
Game Theory and Applications to Economics
One 1000-level course from the "data methods" group: 41
Economics of Education I
Labor Economics
Health, Education, and Social Policy
Economics of Global Warming
Environmental Issues in Development Economics
Health Economics
Inequality of Opportunity in the US
The Economics of Mass Media
The Economics of Social Policy
Public Economics
Economic Development
Health, Hunger and the Household in Developing Countries
Applied Research Methods for Economists
Mathematical Econometrics II
Big Data
ECON 1765
Finance, Regulation, and the Economy
ECON 1825
Behavioral Economics and Public Policy
ECON 1830
Behavioral Finance
Two additional 1000-level economics courses 52
Total Credits16

Standard program for the A.B. degree (Mathematical Finance track):

Prerequisites:
Introductory Calculus, Part II
Linear Algebra
Course Requirements: 13 Courses: 6 Applied Math and 7 Economics
Applied Mathematics Requirements
(a)
APMA 0350
APMA 0360
Applied Ordinary Differential Equations
and Applied Partial Differential Equations I 1
2
Select one of the following:1
Introduction to Scientific Computing (preferred)
Introduction to Scientific Computing and Problem Solving
Computing Foundations: Data
Introduction to Object-Oriented Programming and Computer Science
Computer Science: An Integrated Introduction
APMA 1200Operations Research: Probabilistic Models1
APMA 1650Statistical Inference I1
or APMA 1655 Statistical Inference I
(b)
Select one of the following:1
Introduction to Numerical Solution of Differential Equations
Operations Research: Deterministic Models
Methods of Applied Mathematics
Applied Dynamical Systems
Statistical Inference II
Statistical Inference I
Computational Probability and Statistics
Monte Carlo Simulation with Applications to Finance (preferred)
Recent Applications of Probability and Statistics
Analysis: Functions of One Variable
Economics Requirements:
ECON 1130Intermediate Microeconomics (Mathematical) 31
ECON 1210Intermediate Macroeconomics1
ECON 1630Mathematical Econometrics I1
Select two 1000-level courses from the "financial economics" group: 22
Investments I
Corporate Finance
Venture Capital, Private Equity, and Entrepreneurship
Investments II
Financial Institutions
ECON 1765
Finance, Regulation, and the Economy
Advanced Topics in Corporate Finance
ECON 1830
Behavioral Finance
Select one 1000-level course from the "mathematical economics" group: 21
Welfare Economics and Social Choice Theory
Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
Industrial Organization (Mathematical)
Bargaining Theory and Applications
Designing Internet Marketplaces
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Investments II
Theory of Behavioral Economics
Theory of Economic Growth
The Theory of General Equilibrium
Game Theory and Applications to Economics
Select one 1000-level course from the "data methods" group: 21
Economics of Education I
Labor Economics
Health, Education, and Social Policy
Economics of Global Warming
Environmental Issues in Development Economics
Health Economics
Inequality of Opportunity in the US
The Economics of Mass Media
The Economics of Social Policy
Public Economics
Economic Development
Health, Hunger and the Household in Developing Countries
Applied Research Methods for Economists
Mathematical Econometrics II
Big Data
ECON 1765
Finance, Regulation, and the Economy
ECON 1825
Behavioral Economics and Public Policy
ECON 1830
Behavioral Finance
Total Credits13

Standard program for the Sc.B. degree (Mathematical Finance track):

Prerequisites:
Introductory Calculus, Part II
Linear Algebra
Course Requirements: 16 courses: 7 Applied Math and 9 Economics
Applied Mathematics requirements:
(a)
APMA 0350
APMA 0360
Applied Ordinary Differential Equations
and Applied Partial Differential Equations I 1
2
Select one of the following:1
Introduction to Scientific Computing (preferred)
Introduction to Scientific Computing and Problem Solving
Computing Foundations: Data
Introduction to Object-Oriented Programming and Computer Science
Computer Science: An Integrated Introduction
APMA 1200Operations Research: Probabilistic Models1
APMA 1650Statistical Inference I1
or APMA 1655 Statistical Inference I
(b)
Select two of the following:2
Introduction to Numerical Solution of Differential Equations
Operations Research: Deterministic Models
Methods of Applied Mathematics
Applied Dynamical Systems
Statistical Inference II
Computational Probability and Statistics
Monte Carlo Simulation with Applications to Finance (preferred)
Recent Applications of Probability and Statistics
Analysis: Functions of One Variable
Economics Requirements:
ECON 1130Intermediate Microeconomics (Mathematical) 31
ECON 1210Intermediate Macroeconomics1
ECON 1630Mathematical Econometrics I1
Select three 1000-level courses from the "financial economics" group: 23
Investments I
Corporate Finance
Venture Capital, Private Equity, and Entrepreneurship
Investments II
Financial Institutions
ECON 1765
Finance, Regulation, and the Economy
Advanced Topics in Corporate Finance
ECON 1830
Behavioral Finance
Select two 1000-level courses from the "mathematical economics" group: 22
Welfare Economics and Social Choice Theory
Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
Industrial Organization (Mathematical)
Bargaining Theory and Applications
Designing Internet Marketplaces
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Investments II
Theory of Behavioral Economics
Theory of Economic Growth
The Theory of General Equilibrium
Game Theory and Applications to Economics
Select one 1000-level course from the "data methods" group: 21
Economics of Education I
Labor Economics
Health, Education, and Social Policy
Economics of Global Warming
Environmental Issues in Development Economics
Health Economics
Inequality of Opportunity in the US
The Economics of Mass Media
The Economics of Social Policy
Public Economics
Economic Development
Health, Hunger and the Household in Developing Countries
Applied Research Methods for Economists
Mathematical Econometrics II
Big Data
ECON 1765
Finance, Regulation, and the Economy
ECON 1825
Behavioral Economics and Public Policy
ECON 1830
Behavioral Finance
Total Credits16

Honors and Capstone Requirement

Applied Math-Economics concentrators who wish to pursue honors must find a primary faculty thesis advisor in either Economics or Applied Math. They will be held to the Honors requirements of their advisor’s department. Joint concentrators in Applied Mathematics-Economics with an Economics thesis advisor should follow the requirements published here, while concentrators with an Applied Math thesis advisor should follow the requirements published here.

Professional Track

The requirements for the professional track include all those of the standard track, as well as the following:

Students must complete two two-to-six month full-time professional experiences, doing work that is related to their concentration programs.  Such work is normally done within an industrial organization, but may also be at a university under the supervision of a faculty member. 

On completion of each professional experience, the student must write and upload to ASK a reflective essay about the experience addressing the following prompts, to be approved by the student's concentration advisor:

  • Which courses were put to use in your summer's work?  Which topics, in particular, were important?
  • In retrospect, which courses should you have taken before embarking on your summer experience?  What are the topics from these courses that would have helped you over the summer if you had been more familiar with them?
  • Are there topics you should have been familiar with in preparation for your summer experience, but are not taught at Brown?  What are these topics?
  • What did you learn from the experience that probably could not have been picked up from course work?
  • Is the sort of work you did over the summer something you would like to continue doing once you graduate? Explain.
  • Would you recommend your summer experience to other Brown students? Explain.