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. 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 | ||
| Course Requirements: | ||
| Applied Mathematics Requirements - six courses | 6 | |
| Economics Requirements: seven courses | 7 | |
| See applicable track for specific requirements | ||
| Total Credits | 13 | |
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.
Requirements for the Bachelor of Science
| Prerequisites: | ||
| Single Variable Calculus, Part II | ||
| Linear Algebra | ||
| Course Requirements: | ||
| Applied Mathematics Requirements - seven courses | 7 | |
| Economics Requirements: nine courses | 9 | |
| See applicable track for specific requirements | ||
| Total Credits | 16 | |
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.
Standard Program for the A.B. degree (Advanced Economics track):
| Prerequisites: | ||
| Single Variable 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 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 | ||
or APMA 1210 | Operations Research: Deterministic Models | |
| Select one of the following: | 1 | |
| Introduction to Probability and Statistics with Calculus | ||
or APMA 1655 | Introduction to Probability and Statistics with Theory | |
| (b) 1 | ||
| Select one of the following: | 1 | |
| An Introduction to Numerical Optimization | ||
| Introduction to Numerical Solution of Differential Equations | ||
| Operations Research: Probabilistic Models | ||
| Operations Research: Deterministic Models | ||
| Applied Partial Differential Equations II | ||
| Applied Dynamical Systems | ||
| Statistical Inference II | ||
| Computational Probability and Statistics | ||
| Statistical Analysis of Time Series | ||
| Nonparametric Statistics | ||
| Computational Probability and Statistics | ||
| Information Theory | ||
| Monte Carlo Simulation with Applications to Finance | ||
| Recent Applications of Probability and Statistics | ||
| Graphs and Networks | ||
| Analysis: Functions of One Variable | ||
APMA 193X, 194X Senior Seminar series, depending on topic 6 | ||
| Economics Requirements: | 3 | |
| Intermediate Microeconomics (Mathematical) 3 | ||
| Intermediate Macroeconomics | ||
| Mathematical Econometrics I | ||
| Two 1000-level courses from the "mathematical-economics" group: 4 | 2 | |
| 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 | ||
| 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: 4 | 1 | |
| 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 | ||
| Intergenerational Poverty in America | ||
| The Economics of Mass Media | ||
| 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. 5 | 1 | |
| Total Credits | 13 | |
- 1
No course may be used to simultaneously satisfy (a) and (b).
- 2
APMA 0330 and APMA 0340 may be substituted with advisor approval, but these are no longer being offered.
- 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
No course may be used to simultaneously satisfy the "mathematical economics," and "data methods" requirements.
- 5
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.
- 6
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:
Standard program for the Sc.B. degree (Advanced Economics track):
| Prerequisites: | ||
| Single Variable 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 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 | ||
or APMA 1210 | Operations Research: Deterministic Models | |
| APMA 1650 | Introduction to Probability and Statistics with Calculus | 1 |
| or APMA 1655 | Introduction to Probability and Statistics with Theory | |
| (b) 1 | ||
| Select two of the following: | 2 | |
| An Introduction to Numerical Optimization | ||
| Introduction to Numerical Solution of Differential Equations | ||
| Operations Research: Probabilistic Models | ||
| 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 | ||
| Recent Applications of Probability and Statistics | ||
| Graphs and Networks | ||
| Analysis: Functions of One Variable | ||
APMA 193X, 194X Senior Seminar series, depending on topic 6 | ||
| Economics Requirements: | ||
| ECON 1130 | Intermediate Microeconomics (Mathematical) 3 | 1 |
| ECON 1210 | Intermediate Macroeconomics | 1 |
| ECON 1630 | Mathematical Econometrics I | 1 |
| Three 1000-level courses from the "mathematical-economics" group: 4 | 3 | |
| 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 | ||
| 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: 4 | 1 | |
| 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 | ||
| Intergenerational Poverty in America | ||
| The Economics of Mass Media | ||
| 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 5 | 2 | |
| Total Credits | 16 | |
- 1
No course may be used to simultaneously satisfy (a) and (b).
- 2
APMA 0330 and APMA 0340 may be substituted with advisor approval, but these are no longer being offered.
- 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
No course may be used to simultaneously satisfy the "mathematical economics" and "data methods" requirements.
- 5
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.
- 6
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:
Standard program for the A.B. degree (Mathematical Finance track):
| Prerequisites: | ||
| Single Variable Calculus, Part II | ||
| Linear Algebra | ||
or APMA 0260 | Linear Algebra and Multivariable Calculus for Applied Mathematicians | |
| Linear Algebra and Multivariable Calculus for Applied Mathematicians | ||
or MATH 0180 | Multivariable Calculus | |
or MATH 0200 | Multivariable Calculus (Physics/Engineering) | |
or MATH 0350 | Multivariable Calculus With Theory | |
| Course Requirements: 13 Courses: 6 Applied Math and 7 Economics | ||
| Applied Mathematics Requirements | ||
| (a) | ||
| APMA 0355 | Applied Ordinary Differential Equations with Theory 1 | 1 |
| and | ||
| APMA 0365 | Applied Partial Differential Equations I with Theory | 1 |
| 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 1200 | Operations Research: Probabilistic Models | 1 |
| APMA 1655 | Introduction to Probability and Statistics with Theory | 1 |
| (b) 1 | ||
| 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 5 | ||
| Economics Requirements: | ||
| ECON 1130 | Intermediate Microeconomics (Mathematical) 3 | 1 |
| ECON 1210 | Intermediate Macroeconomics | 1 |
| ECON 1630 | Mathematical Econometrics I | 1 |
| Select two 1000-level courses from the "financial economics" group: 2 | 2 | |
| 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: 2 | 1 | |
| 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: 2 | 1 | |
| 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 | ||
| 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 Credits | 13 | |
- 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
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.
- 5
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:
Standard program for the Sc.B. degree (Mathematical Finance track):
| Prerequisites: | ||
| Single Variable Calculus, Part II | ||
| Linear Algebra | ||
or APMA 0260 | Linear Algebra and Multivariable Calculus for Applied Mathematicians | |
| Linear Algebra and Multivariable Calculus for Applied Mathematicians | ||
or MATH 0180 | Multivariable Calculus | |
or MATH 0200 | Multivariable Calculus (Physics/Engineering) | |
or MATH 0350 | Multivariable Calculus With Theory | |
| Course Requirements: 16 courses: 7 Applied Math and 9 Economics | ||
| Applied Mathematics requirements: | ||
| (a) | ||
| APMA 0355 | Applied Ordinary Differential Equations with Theory | 1 |
| and | ||
| APMA 0365 | Applied Partial Differential Equations I with Theory | 1 |
| 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 1200 | Operations Research: Probabilistic Models | 1 |
| APMA 1655 | Introduction to Probability and Statistics with Theory 1 | 1 |
| (b) | ||
| 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 5 | ||
| Economics Requirements: | ||
| ECON 1130 | Intermediate Microeconomics (Mathematical) 3 | 1 |
| ECON 1210 | Intermediate Macroeconomics | 1 |
| ECON 1630 | Mathematical Econometrics I | 1 |
| Select three 1000-level courses from the "financial economics" group: 2 | 3 | |
| 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: 2 | 2 | |
| 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: 2 | 1 | |
| 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 | ||
| 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 Credits | 16 | |
- 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
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.
- 5
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: