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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. If you are interested in declaring a concentration in Applied Mathematics-Economics, please refer to this page for more information regarding the process.

Requirements for the Bachelor of Arts 

Prerequisites:
Single Variable Calculus, Part II
Linear Algebra and Multivariable Calculus for Applied Mathematicians
Multivariable Calculus
Multivariable Calculus (Physics/Engineering)
Multivariable Calculus With Theory
Linear Algebra
Linear Algebra and Multivariable Calculus for Applied Mathematicians
Course Requirements:
Applied Mathematics Requirements
APMA 0355Applied Ordinary Differential Equations with Theory1
APMA 0365 Applied Partial Differential Equations I with Theory1
Select one of the following: 1
Introduction to Scientific Computing (preferred)
Introduction to Modeling
Computing Foundations: Data
Introduction to Object-Oriented Programming and Computer Science
Computer Science: An Integrated Introduction
Accelerated Introduction to Computer Science
Select one of the following: 1
Operations Research: Probabilistic Models
Operations Research: Deterministic Models
APMA 1655Introduction to Probability and Statistics with Theory 11
One 1000-level or higher APMA course (except APMA1910, APMA1920, and research/independent study)1
Economics Requirements:3
Intermediate Microeconomics (Mathematical) 2
Intermediate Macroeconomics
Mathematical Econometrics I
Two 1000-level courses from the "mathematical-economics" group: 32
Welfare Economics and Social Choice Theory
Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
Unemployment: Models and Policies
Bargaining Theory and Applications
Designing Internet Marketplaces
Topics in Macroeconomics, Development and International Economics
Economic Growth
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Machine Learning, Text Analysis, and Economics
Investments II
Crisis Economics
Experimental and Behavioral Economics
Theory of Behavioral Economics
The Theory of General Equilibrium
Game Theory and Applications to Economics
One 1000-level course from the "data methods" group: 31
Economics of Education I
Labor Economics
Health, Education, and Social Policy
Gender and Development
Economics of Global Warming
Climate Change and the Commons
Environmental Issues in Development Economics
Research Seminar in Health Economics
Inequality of Opportunity in the US
Intergenerational Poverty in America
The Economics of Mass Media
Urban Economics
The Economics of Social Policy
Economic Development
Culture, History and Comparative Development
Health, Hunger and the Household in Developing Countries
Applied Research Methods for Economists
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Machine Learning, Text Analysis, and Economics
Behavioral Economics and Public Policy
Behavioral Finance
One additional 1000-level economics course. 41
Total Credits13
1

Students can also use APMA 1650 but must also complete the APMA 1655 online bridgework course, pass the in-person bridgework exam that is offered once per semester, and have taken multivariable calculus and linear algebra

2

Or ECON 1110 with permission. For students matriculating at Brown in Fall 2021 or later, note that if ECON 1110 is used, then one additional course from the mathematical-economics group will be required

3

No course may be used to simultaneously satisfy the "mathematical economics," and "data methods" requirements.

4

Note that ECON 1620, ECON 1960, and ECON 1970 (independent study) cannot be used for concentration credit.  However, 1620 and 1960 can be used for university credit and up to two 1970s may be used for university credit. 

Honors 

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 all undergraduate professional tracks within concentrations are standardized and additional information can be found here:

https://bulletin.brown.edu/undergradproftrack/

Requirements for the Bachelor of Science

Prerequisites:
Single Variable Calculus, Part II
Linear Algebra
Linear Algebra and Multivariable Calculus for Applied Mathematicians
Linear Algebra and Multivariable Calculus for Applied Mathematicians
Multivariable Calculus
Multivariable Calculus (Physics/Engineering)
Multivariable Calculus With Theory
Course Requirements:
Applied Mathematics Requirements
APMA 0355Applied Ordinary Differential Equations with Theory1
APMA 0365Applied Partial Differential Equations I with Theory
Select one of the following:1
Introduction to Scientific Computing (preferred)
Introduction to Modeling
Computing Foundations: Data
Accelerated Introduction to Computer Science
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 1655Introduction to Probability and Statistics with Theory 11
Two 1000-level or higher APMA or MATH courses with at least one in APMA (except APMA1910, APMA1920, MATH1090, MATH1910 and research/independent study). At most one of APMA 1000, APMA 1001, MATH 1000, MATH 1001 and at most one of APMA 1650, APMA 1655, MATH 1210, MATH 1610 can be used for concentration credit2
Economics Requirements:
ECON 1130Intermediate Microeconomics (Mathematical) 21
ECON 1210Intermediate Macroeconomics1
ECON 1630Mathematical Econometrics I1
Three 1000-level courses from the "mathematical-economics" group: 33
Welfare Economics and Social Choice Theory
Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
Unemployment: Models and Policies
Bargaining Theory and Applications
Designing Internet Marketplaces
Topics in Macroeconomics, Development and International Economics
Economic Growth
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Machine Learning, Text Analysis, and Economics
Investments II
Crisis Economics
Experimental and Behavioral Economics
Theory of Behavioral Economics
The Theory of General Equilibrium
Game Theory and Applications to Economics
One 1000-level course from the "data methods" group: 31
Economics of Education I
Labor Economics
Health, Education, and Social Policy
Gender and Development
Economics of Global Warming
Climate Change and the Commons
Environmental Issues in Development Economics
Research Seminar in Health Economics
Inequality of Opportunity in the US
Intergenerational Poverty in America
The Economics of Mass Media
Urban Economics
The Economics of Social Policy
Economic Development
Culture, History and Comparative Development
Health, Hunger and the Household in Developing Countries
Applied Research Methods for Economists
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Machine Learning, Text Analysis, and Economics
Behavioral Economics and Public Policy
Behavioral Finance
Two additional 1000-level economics courses 42
Total Credits15
1

Students can also use APMA 1650 but must also complete the APMA 1655 online bridgework course, pass the in-person bridgework exam that is offered once per semester, and have taken multivariable calculus and linear algebra.

2

Or ECON 1110 with permission. For students matriculating at Brown in Fall 2021 or later, note that if ECON 1110 is used, then one additional course from the mathematical-economics group will be required

3

No course may be used to simultaneously satisfy the "mathematical economics" and "data methods" requirements.

4

Students may apply, at most, one Economics course whose number is in the range of 1000 to 1099 toward the concentration. Note that ECON 1620, ECON 1960, and ECON 1970 (independent study) cannot be used for concentration credit.  However, 1620 and 1960 can be used for university credit and up to two 1970s may be used for university credit.

Honors 

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 all undergraduate professional tracks within concentrations are standardized and additional information can be found here:

https://bulletin.brown.edu/undergradproftrack/

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

Prerequisites:
Single Variable Calculus, Part II
Linear Algebra
Linear Algebra and Multivariable Calculus for Applied Mathematicians
Linear Algebra and Multivariable Calculus for Applied Mathematicians
Multivariable Calculus
Multivariable Calculus (Physics/Engineering)
Multivariable Calculus With Theory
Course Requirements: 13 Courses: 6 Applied Math and 7 Economics
Applied Mathematics Requirements
APMA 0355Applied Ordinary Differential Equations with Theory1
and
APMA 0365 Applied Partial Differential Equations I with Theory1
Select one of the following:1
Introduction to Scientific Computing (preferred)
Introduction to Modeling
Computing Foundations: Data
Introduction to Object-Oriented Programming and Computer Science
Computer Science: An Integrated Introduction
Accelerated Introduction to Computer Science
APMA 1200Operations Research: Probabilistic Models1
APMA 1655Introduction to Probability and Statistics with Theory 11
Select one of the following:1
An Introduction to Numerical Optimization
Introduction to Numerical Solution of Differential Equations
Operations Research: Deterministic Models
Applied Partial Differential Equations II
Applied Dynamical Systems
Statistical Inference II
Statistical Analysis of Time Series
Nonparametric Statistics
Computational Probability and Statistics
Information Theory
Monte Carlo Simulation with Applications to Finance (preferred)
Recent Applications of Probability and Statistics
Graphs and Networks
Analysis: Functions of One Variable
APMA 193X, 194X Senior Seminar series, depending on topic 4
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
Crisis Economics
Advanced Topics in Corporate Finance
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
Unemployment: Models and Policies
Bargaining Theory and Applications
Designing Internet Marketplaces
Topics in Macroeconomics, Development and International Economics
Economic Growth
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Machine Learning, Text Analysis, and Economics
Investments II
Crisis Economics
Experimental and Behavioral Economics
Theory of Behavioral Economics
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
Gender and Development
Economics of Global Warming
Climate Change and the Commons
Environmental Issues in Development Economics
Research Seminar in Health Economics
Inequality of Opportunity in the US
Intergenerational Poverty in America
The Economics of Mass Media
Urban Economics
The Economics of Social Policy
Economic Development
Culture, History and Comparative Development
Health, Hunger and the Household in Developing Countries
Applied Research Methods for Economists
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Machine Learning, Text Analysis, and Economics
Behavioral Economics and Public Policy
Behavioral Finance
Total Credits13
1

Students can also use APMA 1650 but must also complete the APMA 1655 online bridgework course, pass the in-person bridgework exam that is offered once per semester, and have taken multivariable calculus and linear algebra

2

No course may be used to simultaneously satisfy any two or more of the "financial economics," "mathematical economics," and "data methods" requirements.

3

Or ECON 1110 with permission. For students matriculating at Brown in Fall 2021 or later, note that if ECON 1110 is used, then one additional course from the mathematical-economics group will be required

4

Requires written approval of the Director of Undergraduate Studies in Economics. APMA 1910 is not permitted.

Professional Track

The requirements for all undergraduate professional tracks within concentrations are standardized and additional information can be found here:

https://bulletin.brown.edu/undergradproftrack/

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

Prerequisites:
Single Variable Calculus, Part II
Linear Algebra
Linear Algebra and Multivariable Calculus for Applied Mathematicians
Linear Algebra and Multivariable Calculus for Applied Mathematicians
Multivariable Calculus
Multivariable Calculus (Physics/Engineering)
Multivariable Calculus With Theory
Course Requirements: 16 courses: 7 Applied Math and 9 Economics
Applied Mathematics requirements:
APMA 0355Applied Ordinary Differential Equations with Theory1
and
APMA 0365 Applied Partial Differential Equations I with Theory1
Select one of the following:1
Introduction to Scientific Computing (preferred)
Introduction to Modeling
Computing Foundations: Data
Introduction to Object-Oriented Programming and Computer Science
Computer Science: An Integrated Introduction
Accelerated Introduction to Computer Science
APMA 1200Operations Research: Probabilistic Models1
APMA 1655Introduction to Probability and Statistics with Theory 11
Select two of the following:2
An Introduction to Numerical Optimization
Introduction to Numerical Solution of Differential Equations
Operations Research: Deterministic Models
Applied Partial Differential Equations II
Applied Dynamical Systems
Statistical Inference II
Statistical Analysis of Time Series
Nonparametric Statistics
Computational Probability and Statistics
Information Theory
Monte Carlo Simulation with Applications to Finance (preferred)
Recent Applications of Probability and Statistics
Graphs and Networks
Analysis: Functions of One Variable
APMA 193X, 194X Senior Seminar series, depending on topic 4
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
Crisis Economics
Advanced Topics in Corporate Finance
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
Unemployment: Models and Policies
Bargaining Theory and Applications
Designing Internet Marketplaces
Topics in Macroeconomics, Development and International Economics
Economic Growth
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Machine Learning, Text Analysis, and Economics
Investments II
Crisis Economics
Experimental and Behavioral Economics
Theory of Behavioral Economics
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
Gender and Development
Climate Change and the Commons
Economics of Global Warming
Environmental Issues in Development Economics
Research Seminar in Health Economics
Inequality of Opportunity in the US
Intergenerational Poverty in America
The Economics of Mass Media
Urban Economics
The Economics of Social Policy
Economic Development
Culture, History and Comparative Development
Health, Hunger and the Household in Developing Countries
Applied Research Methods for Economists
Mathematical Econometrics II
Big Data
Advanced Topics in Econometrics
Machine Learning, Text Analysis, and Economics
Behavioral Economics and Public Policy
Behavioral Finance
Total Credits16
1

Students can also use APMA 1650 but must also complete the APMA 1655 online bridgework course, pass the in-person bridgework exam that is offered once per semester, and have taken multivariable calculus and linear algebra

2

No course may be used to simultaneously satisfy any two or more of the "financial economics," "mathematical economics," and "data methods" requirements.

3

Or ECON 1110 with permission. For students matriculating at Brown in Fall 2021 or later, note that if ECON 1110 is used, then one additional course from the mathematical-economics group will be required

4

Requires written approval of the Director of Undergraduate Studies in Economics. APMA 1910 is not permitted.

Professional Track

The requirements for all undergraduate professional tracks within concentrations are standardized and additional information can be found here:

https://bulletin.brown.edu/undergradproftrack/