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Brown University

Source: https://bulletin.brown.edu/the-college/concentrations/apme/ Parent: https://bulletin.brown.edu/azindex/

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:
MATH 0100 Single Variable Calculus, Part II
APMA 0260 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
MATH 0520 Linear Algebra
or APMA 0260 Linear Algebra and Multivariable Calculus for Applied Mathematicians
Course Requirements:
Applied Mathematics Requirements
APMA 0355 Applied Ordinary Differential Equations with Theory 1
APMA 0365 Applied Partial Differential Equations I with Theory 1
Select one of the following: 1
APMA 0160 Introduction to Scientific Computing (preferred)
APMA 0200 Introduction to Modeling
CSCI 0111 Computing Foundations: Data
CSCI 0150 Introduction to Object-Oriented Programming and Computer Science
CSCI 0170 Computer Science: An Integrated Introduction
CSCI 0190 Accelerated Introduction to Computer Science
Select one of the following: 1
APMA 1200 Operations Research: Probabilistic Models
or APMA 1210 Operations Research: Deterministic Models
APMA 1655 Introduction to Probability and Statistics with Theory 1 1
One 1000-level or higher APMA course (except APMA1910, APMA1920, and research/independent study) 1
Economics Requirements: 3
ECON 1130 Intermediate Microeconomics (Mathematical) 2
ECON 1210 Intermediate Macroeconomics
ECON 1630 Mathematical Econometrics I
Two 1000-level courses from the "mathematical-economics" group: 3 2
ECON 1170 Welfare Economics and Social Choice Theory
ECON 1225 Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
ECON 1255 Unemployment: Models and Policies
ECON 1470 Bargaining Theory and Applications
ECON 1490 Designing Internet Marketplaces
ECON 1545 Topics in Macroeconomics, Development and International Economics
ECON 1560 Economic Growth
ECON 1640 Mathematical Econometrics II
ECON 1660 Big Data
ECON 1670 Advanced Topics in Econometrics
ECON 1680 Machine Learning, Text Analysis, and Economics
ECON 1750 Investments II
ECON 1770 Crisis Economics
ECON 1805 Experimental and Behavioral Economics
ECON 1820 Theory of Behavioral Economics
ECON 1860 The Theory of General Equilibrium
ECON 1870 Game Theory and Applications to Economics
One 1000-level course from the "data methods" group: 3 1
ECON 1301 Economics of Education I
ECON 1310 Labor Economics
ECON 1315 Health, Education, and Social Policy
ECON 1330 Gender and Development
ECON 1340 Economics of Global Warming
ECON 1345 Climate Change and the Commons
ECON 1355 Environmental Issues in Development Economics
ECON 1360 Research Seminar in Health Economics
ECON 1375 Inequality of Opportunity in the US
ECON 1385 Intergenerational Poverty in America
ECON 1400 The Economics of Mass Media
ECON 1410 Urban Economics
ECON 1430 The Economics of Social Policy
ECON 1510 Economic Development
ECON 1520 Culture, History and Comparative Development
ECON 1530 Health, Hunger and the Household in Developing Countries
ECON 1629 Applied Research Methods for Economists
ECON 1640 Mathematical Econometrics II
ECON 1660 Big Data
ECON 1670 Advanced Topics in Econometrics
ECON 1680 Machine Learning, Text Analysis, and Economics
ECON 1825 Behavioral Economics and Public Policy
ECON 1830 Behavioral Finance
One additional 1000-level economics course. 4 1
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 : 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:
MATH 0100 Single Variable Calculus, Part II
MATH 0520 Linear Algebra
or APMA 0260 Linear Algebra and Multivariable Calculus for Applied Mathematicians
APMA 0260 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:
Applied Mathematics Requirements
APMA 0355 Applied Ordinary Differential Equations with Theory 1
APMA 0365 Applied Partial Differential Equations I with Theory
Select one of the following: 1
APMA 0160 Introduction to Scientific Computing (preferred)
APMA 0200 Introduction to Modeling
CSCI 0111 Computing Foundations: Data
CSCI 0190 Accelerated Introduction to Computer Science
CSCI 0150 Introduction to Object-Oriented Programming and Computer Science
CSCI 0170 Computer Science: An Integrated Introduction
Select one of the following: 1
APMA 1200 Operations Research: Probabilistic Models
or APMA 1210 Operations Research: Deterministic Models
APMA 1655 Introduction to Probability and Statistics with Theory 1 1
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 credit 2
Economics Requirements:
ECON 1130 Intermediate Microeconomics (Mathematical) 2 1
ECON 1210 Intermediate Macroeconomics 1
ECON 1630 Mathematical Econometrics I 1
Three 1000-level courses from the "mathematical-economics" group: 3 3
ECON 1170 Welfare Economics and Social Choice Theory
ECON 1225 Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
ECON 1255 Unemployment: Models and Policies
ECON 1470 Bargaining Theory and Applications
ECON 1490 Designing Internet Marketplaces
ECON 1545 Topics in Macroeconomics, Development and International Economics
ECON 1560 Economic Growth
ECON 1640 Mathematical Econometrics II
ECON 1660 Big Data
ECON 1670 Advanced Topics in Econometrics
ECON 1680 Machine Learning, Text Analysis, and Economics
ECON 1750 Investments II
ECON 1770 Crisis Economics
ECON 1805 Experimental and Behavioral Economics
ECON 1820 Theory of Behavioral Economics
ECON 1860 The Theory of General Equilibrium
ECON 1870 Game Theory and Applications to Economics
One 1000-level course from the "data methods" group: 3 1
ECON 1301 Economics of Education I
ECON 1310 Labor Economics
ECON 1315 Health, Education, and Social Policy
ECON 1330 Gender and Development
ECON 1340 Economics of Global Warming
ECON 1345 Climate Change and the Commons
ECON 1355 Environmental Issues in Development Economics
ECON 1360 Research Seminar in Health Economics
ECON 1375 Inequality of Opportunity in the US
ECON 1385 Intergenerational Poverty in America
ECON 1400 The Economics of Mass Media
ECON 1410 Urban Economics
ECON 1430 The Economics of Social Policy
ECON 1510 Economic Development
ECON 1520 Culture, History and Comparative Development
ECON 1530 Health, Hunger and the Household in Developing Countries
ECON 1629 Applied Research Methods for Economists
ECON 1640 Mathematical Econometrics II
ECON 1660 Big Data
ECON 1670 Advanced Topics in Econometrics
ECON 1680 Machine Learning, Text Analysis, and Economics
ECON 1825 Behavioral Economics and Public Policy
ECON 1830 Behavioral Finance
Two additional 1000-level economics courses 4 2
Total Credits 15

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:
MATH 0100 Single Variable Calculus, Part II
MATH 0520 Linear Algebra
or APMA 0260 Linear Algebra and Multivariable Calculus for Applied Mathematicians
APMA 0260 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
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
APMA 0160 Introduction to Scientific Computing (preferred)
APMA 0200 Introduction to Modeling
CSCI 0111 Computing Foundations: Data
CSCI 0150 Introduction to Object-Oriented Programming and Computer Science
CSCI 0170 Computer Science: An Integrated Introduction
CSCI 0190 Accelerated Introduction to Computer Science
APMA 1200 Operations Research: Probabilistic Models 1
APMA 1655 Introduction to Probability and Statistics with Theory 1 1
Select one of the following: 1
APMA 1160 An Introduction to Numerical Optimization
APMA 1180 Introduction to Numerical Solution of Differential Equations
APMA 1210 Operations Research: Deterministic Models
APMA 1330 Applied Partial Differential Equations II
APMA 1360 Applied Dynamical Systems
APMA 1660 Statistical Inference II
APMA 1670 Statistical Analysis of Time Series
APMA 1680 Nonparametric Statistics
APMA 1690 Computational Probability and Statistics
APMA 1710 Information Theory
APMA 1720 Monte Carlo Simulation with Applications to Finance (preferred)
APMA 1740 Recent Applications of Probability and Statistics
APMA 1860 Graphs and Networks
MATH 1010 Analysis: Functions of One Variable
APMA 193X, 194X Senior Seminar series, depending on topic 4
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
ECON 1710 Investments I
ECON 1720 Corporate Finance
ECON 1730 Venture Capital, Private Equity, and Entrepreneurship
ECON 1750 Investments II
ECON 1760 Financial Institutions
ECON 1770 Crisis Economics
ECON 1780 Advanced Topics in Corporate Finance
ECON 1830 Behavioral Finance
Select one 1000-level course from the "mathematical economics" group: 2 1
ECON 1170 Welfare Economics and Social Choice Theory
ECON 1225 Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
ECON 1255 Unemployment: Models and Policies
ECON 1470 Bargaining Theory and Applications
ECON 1490 Designing Internet Marketplaces
ECON 1545 Topics in Macroeconomics, Development and International Economics
ECON 1560 Economic Growth
ECON 1640 Mathematical Econometrics II
ECON 1660 Big Data
ECON 1670 Advanced Topics in Econometrics
ECON 1680 Machine Learning, Text Analysis, and Economics
ECON 1750 Investments II
ECON 1770 Crisis Economics
ECON 1805 Experimental and Behavioral Economics
ECON 1820 Theory of Behavioral Economics
ECON 1860 The Theory of General Equilibrium
ECON 1870 Game Theory and Applications to Economics
Select one 1000-level course from the "data methods" group: 2 1
ECON 1301 Economics of Education I
ECON 1310 Labor Economics
ECON 1315 Health, Education, and Social Policy
ECON 1330 Gender and Development
ECON 1340 Economics of Global Warming
ECON 1345 Climate Change and the Commons
ECON 1355 Environmental Issues in Development Economics
ECON 1360 Research Seminar in Health Economics
ECON 1375 Inequality of Opportunity in the US
ECON 1385 Intergenerational Poverty in America
ECON 1400 The Economics of Mass Media
ECON 1410 Urban Economics
ECON 1430 The Economics of Social Policy
ECON 1510 Economic Development
ECON 1520 Culture, History and Comparative Development
ECON 1530 Health, Hunger and the Household in Developing Countries
ECON 1629 Applied Research Methods for Economists
ECON 1640 Mathematical Econometrics II
ECON 1660 Big Data
ECON 1670 Advanced Topics in Econometrics
ECON 1680 Machine Learning, Text Analysis, and Economics
ECON 1825 Behavioral Economics and Public Policy
ECON 1830 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 : 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:
MATH 0100 Single Variable Calculus, Part II
MATH 0520 Linear Algebra
or APMA 0260 Linear Algebra and Multivariable Calculus for Applied Mathematicians
APMA 0260 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:
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
APMA 0160 Introduction to Scientific Computing (preferred)
APMA 0200 Introduction to Modeling
CSCI 0111 Computing Foundations: Data
CSCI 0150 Introduction to Object-Oriented Programming and Computer Science
CSCI 0170 Computer Science: An Integrated Introduction
CSCI 0190 Accelerated Introduction to Computer Science
APMA 1200 Operations Research: Probabilistic Models 1
APMA 1655 Introduction to Probability and Statistics with Theory 1 1
Select two of the following: 2
APMA 1160 An Introduction to Numerical Optimization
APMA 1180 Introduction to Numerical Solution of Differential Equations
APMA 1210 Operations Research: Deterministic Models
APMA 1330 Applied Partial Differential Equations II
APMA 1360 Applied Dynamical Systems
APMA 1660 Statistical Inference II
APMA 1670 Statistical Analysis of Time Series
APMA 1680 Nonparametric Statistics
APMA 1690 Computational Probability and Statistics
APMA 1710 Information Theory
APMA 1720 Monte Carlo Simulation with Applications to Finance (preferred)
APMA 1740 Recent Applications of Probability and Statistics
APMA 1860 Graphs and Networks
MATH 1010 Analysis: Functions of One Variable
APMA 193X, 194X Senior Seminar series, depending on topic 4
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
ECON 1710 Investments I
ECON 1720 Corporate Finance
ECON 1730 Venture Capital, Private Equity, and Entrepreneurship
ECON 1750 Investments II
ECON 1760 Financial Institutions
ECON 1770 Crisis Economics
ECON 1780 Advanced Topics in Corporate Finance
ECON 1830 Behavioral Finance
Select two 1000-level courses from the "mathematical economics" group: 2 2
ECON 1170 Welfare Economics and Social Choice Theory
ECON 1225 Advanced Macroeconomics: Monetary, Fiscal, and Stabilization Policies
ECON 1255 Unemployment: Models and Policies
ECON 1470 Bargaining Theory and Applications
ECON 1490 Designing Internet Marketplaces
ECON 1545 Topics in Macroeconomics, Development and International Economics
ECON 1560 Economic Growth
ECON 1640 Mathematical Econometrics II
ECON 1660 Big Data
ECON 1670 Advanced Topics in Econometrics
ECON 1680 Machine Learning, Text Analysis, and Economics
ECON 1750 Investments II
ECON 1770 Crisis Economics
ECON 1805 Experimental and Behavioral Economics
ECON 1820 Theory of Behavioral Economics
ECON 1860 The Theory of General Equilibrium
ECON 1870 Game Theory and Applications to Economics
Select one 1000-level course from the "data methods" group: 2 1
ECON 1301 Economics of Education I
ECON 1310 Labor Economics
ECON 1315 Health, Education, and Social Policy
ECON 1330 Gender and Development
ECON 1345 Climate Change and the Commons
ECON 1340 Economics of Global Warming
ECON 1355 Environmental Issues in Development Economics
ECON 1360 Research Seminar in Health Economics
ECON 1375 Inequality of Opportunity in the US
ECON 1385 Intergenerational Poverty in America
ECON 1400 The Economics of Mass Media
ECON 1410 Urban Economics
ECON 1430 The Economics of Social Policy
ECON 1510 Economic Development
ECON 1520 Culture, History and Comparative Development
ECON 1530 Health, Hunger and the Household in Developing Countries
ECON 1629 Applied Research Methods for Economists
ECON 1640 Mathematical Econometrics II
ECON 1660 Big Data
ECON 1670 Advanced Topics in Econometrics
ECON 1680 Machine Learning, Text Analysis, and Economics
ECON 1825 Behavioral Economics and Public Policy
ECON 1830 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 : 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/