# Economics & Mathematics

http://economics.barnard.edu/majors/descriptions/economics-mathematics-major

208 LeFrak Center, Barnard Hall

212-854-3454

Department Administrator: Robert O'Connor

## Mission

The Economics and Mathematics major provides the student with a grounding in economic theory comparable to that provided by the general economics major and exposes the student to rigorous and extensive training in mathematics. The program will be particularly useful for students planning to do graduate work in economics, which frequently demands greater mathematical training than that acquired through the minimum requirements of the basic economics degree.

**Economics Department Representative:** Sharon Harrison

**Mathematics Department Representative:** David Bayer

## Requirements for the Major

A major in Economics and Mathematics must complete the following 15 courses or their equivalents:

Code | Title | Points |
---|---|---|

Economics (8 courses) | ||

ECON BC1003 | Introduction to Economic Reasoning | 3 |

ECON BC3018 | Econometrics | 4 |

ECON BC3033 | Intermediate Macroeconomic Theory | 4 |

ECON BC3035 | Intermediate Microeconomic Theory | 4 |

ECON BC3041 | Theoretical Foundations of Political Economy | 3 |

Select one of the following: | 4 | |

Senior Thesis II (two semesters of the Senior Thesis are optional) | ||

Senior Seminar ^{*} | ||

Two economics electives with an intermediate micro- or macroeconomic theory course as prerequisite | ||

Mathematics (7 courses) | ||

MATH UN1102 - MATH UN1201 | Calculus II and Calculus III | 6 |

MATH UN2010 | Linear Algebra | 3 |

MATH UN2500 | Analysis and Optimization ^{**} | 3 |

SIEO W3600 | (or STAT GU4001) | 4 |

Two electives at or above the 2000 level ^{***} |

* | MATH UN3951 Undergraduate Seminars in Mathematics I, or an equivalent approved by the Chairs of the Mathematics and Economic departments is an acceptable alternative to ECON BC3063 Senior Seminar. |

** | MATH GU4061 Introduction To Modern Analysis I is an acceptable alternative to MATH UN2500 Analysis and Optimization. |

*** | MATH UN2030 Ordinary Differential Equations is an approved Mathematics elective. Also approved is MATH UN3951 Undergraduate Seminars in Mathematics I. |

Students must obtain approval from each department representative before selecting electives. In exceptional cases, these may be from related fields; other courses can be taken with prior approval.

## Cross-Listed Courses

### Economics (Barnard)

**ECON BC3018 Econometrics.** *4 points*.

Prerequisites: ECON BC3033 or ECON BC3035, and ECON BC2411 or STAT W1111 or STAT W1211, or permission of the instructor.

Specification, estimation and evaluation of economic relationships using economic theory, data, and statistical inference; testable implications of economic theories; econometric analysis of topics such as consumption, investment, wages and unemployment, and financial markets.

Fall 2018: ECON BC3018 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

ECON 3018 | 001/01690 | T Th 1:10pm - 2:25pm 903 Altschul Hall |
Daniel Hamermesh | 4 | 29/50 |

**ECON BC3033 Intermediate Macroeconomic Theory.** *4 points*.

Prerequisites: An introductory course in economics and a functioning knowledge of high school algebra and analytical geometry or permission of the instructor.

Systematic exposition of current macroeconomic theories of unemployment, inflation, and international financial adjustments.

Fall 2018: ECON BC3033 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

ECON 3033 | 001/06157 | M W 8:40am - 9:55am 504 Diana Center |
Martina Jasova | 4 | 57/70 |

Spring 2019: ECON BC3033 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

ECON 3033 | 001/06157 | T Th 8:40am - 9:55am Room TBA |
Biwei Chen | 4 | 0/45 |

**ECON BC3035 Intermediate Microeconomic Theory.** *4 points*.

Prerequisites: An introductory course in microeconomics or a combined macro/micro principles course (ECON BC1003 or ECON W1105, or the equivalent) and one semester of calculus or ECON BC1007, or permission of the instructor.

Preferences and demand; production, cost, and supply; behavior of markets in partial equilibrium; resource allocation in general equilibrium; pricing of goods and services under alternative market structures; implications of individual decision-making for labor supply; income distribution, welfare, and public policy. Emphasis on problem solving.

Fall 2018: ECON BC3035 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

ECON 3035 | 001/04588 | T Th 11:40am - 12:55pm 328 Milbank Hall |
John Park | 4 | 43/50 |

Spring 2019: ECON BC3035 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

ECON 3035 | 001/04588 | M W 2:40pm - 3:55pm Room TBA |
Elizabeth Ananat | 4 | 0/60 |

**ECON BC3041 Theoretical Foundations of Political Economy.** *3 points*.

BC: Fulfillment of General Education Requirement: Reason and Value (REA)., BC: Fulfillment of General Education Requirement: Ethics and Values.

Prerequisites: An introductory course in economics or permission of the instructor.

Intellectual origins of the main schools of thought in political economy. Study of the founding texts in classical political economy, Marxian economics, neoclassicism, and Keynesianism.

Fall 2018: ECON BC3041 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

ECON 3041 | 001/07742 | M W 4:10pm - 5:25pm 304 Barnard Hall |
Sonia Pereira | 3 | 78/80 |

Spring 2019: ECON BC3041 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

ECON 3041 | 001/07742 | T Th 1:10pm - 2:25pm Room TBA |
Andre Burgstaller | 3 | 0 |

**ECON BC3061 Senior Thesis I.** *4 points*.

Prerequisites: Permission of the instructor and completion of all courses (except for the senior requirement) required for the economics track, political economy track, or economics and mathematics majors. Exceptions to these prerequisites may be granted by the chair of the department only.

Tutorials and conferences on the research for and writing of the senior thesis. This is the 1st semester of a two-semester course sequence.

Fall 2018: ECON BC3061 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

ECON 3061 | 001/03575 | T 4:10pm - 6:00pm 225 Milbank Hall |
Sonia Pereira | 4 | 7 |

ECON 3061 | 002/05329 | Th 2:10pm - 4:00pm 403 Barnard Hall |
Randall Reback | 4 | 3 |

ECON 3061 | 003/04820 | T 2:10pm - 4:00pm 508 Lewisohn Hall |
Sharon Harrison | 4 | 5 |

ECON 3061 | 004/04872 | |
0. FACULTY | 4 | 0 |

Spring 2019: ECON BC3061 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

ECON 3061 | 001/03345 | |
Randall Reback | 4 | 0 |

**ECON BC3062 Senior Thesis II.** *4 points*.

Prerequisites: Permission of the instructor and completion of all courses (except for the senior requirement) required for the economics track, political economy track, or economics and mathematics majors. Exceptions to these prerequisites may be granted by the chair of the department only.

Tutorials and conferences on the research for and writing of the senior thesis. This is the 2nd semester of a two-semester course sequence.

Spring 2019: ECON BC3062 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

ECON 3062 | 001/04590 | |
Sonia Pereira | 4 | 0 |

ECON 3062 | 002/03966 | |
Randall Reback | 4 | 0 |

ECON 3062 | 003/08224 | W 2:10pm - 4:00pm Room TBA |
Sharon Harrison | 4 | 0 |

ECON 3062 | 004/01944 | |
0. FACULTY | 4 | 0 |

**ECON BC3063 Senior Seminar.** *4 points*.

Prerequisites: Permission of the instructor and the completion of all courses (except for the senior requirement) required for the economics track, political economy track, or economics and mathematics majors. Exceptions to these prerequisites may be granted by the chair of the department only. Seminar sections are limited to 15 students.

A topic in economic theory or policy of the instructor’s choice. See department for current topics and for senior requirement preference forms.

Fall 2018: ECON BC3063 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

ECON 3063 | 001/03378 | T 4:10pm - 6:00pm 501 Diana Center |
Rajiv Sethi | 4 | 15/16 |

ECON 3063 | 002/06514 | M 10:10am - 12:00pm 405 Barnard Hall |
Elizabeth Ananat | 4 | 9 |

Spring 2019: ECON BC3063 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

ECON 3063 | 001/02840 | Th 4:10pm - 6:00pm Room TBA |
Homa Zarghamee | 4 | 0 |

ECON 3063 | 002/05970 | W 2:10pm - 4:00pm Room TBA |
Alan Dye | 4 | 0 |

ECON 3063 | 003/02843 | M 2:10pm - 4:00pm Room TBA |
Martina Jasova | 4 | 0 |

### Mathematics

**MATH UN1101 Calculus I.** *3 points*.

*Prerequisites: (see Courses for First-Year Students).* Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed.

The Help Room in 333 Milbank Hall (Barnard College) is open during the day, Monday through Friday, to students seeking individual help from the teaching assistants. **(SC)**

Fall 2018: MATH UN1101 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

MATH 1101 | 001/75416 | M W 8:40am - 9:55am 203 Mathematics Building |
Michael Woodbury | 3 | 53/100 |

MATH 1101 | 002/22652 | M W 10:10am - 11:25am 203 Mathematics Building |
Michael Woodbury | 3 | 37/100 |

MATH 1101 | 003/64255 | M W 11:40am - 12:55pm 614 Schermerhorn Hall |
Zachary Sylvan | 3 | 72/100 |

MATH 1101 | 004/21177 | M W 2:40pm - 3:55pm 407 Mathematics Building |
Samuel Mundy | 3 | 31/36 |

MATH 1101 | 005/17719 | M W 6:10pm - 7:25pm 203 Mathematics Building |
Linh Truong | 3 | 97/106 |

MATH 1101 | 006/15413 | T Th 10:10am - 11:25am 207 Mathematics Building |
Alisa Knizel | 3 | 73/100 |

MATH 1101 | 007/11805 | T Th 11:40am - 12:55pm 203 Mathematics Building |
Henri Roesch | 3 | 58/100 |

MATH 1101 | 008/25959 | T Th 1:10pm - 2:25pm 207 Mathematics Building |
Alexandra Florea | 3 | 91/100 |

MATH 1101 | 009/14039 | T Th 4:10pm - 5:25pm 203 Mathematics Building |
Nicholas Salter | 3 | 99/100 |

MATH 1101 | 010/10369 | T Th 6:10pm - 7:25pm 337 Seeley W. Mudd Building |
Carl Lian | 3 | 26/30 |

Spring 2019: MATH UN1101 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

MATH 1101 | 001/75145 | M W 10:10am - 11:25am Room TBA |
Yang An | 3 | 0/30 |

MATH 1101 | 002/62612 | M W 4:10pm - 5:25pm Room TBA |
3 | 0/100 | |

MATH 1101 | 003/27890 | M W 6:10pm - 7:25pm Room TBA |
3 | 0/30 | |

MATH 1101 | 004/73630 | T Th 11:40am - 12:55pm Room TBA |
3 | 0/30 | |

MATH 1101 | 005/69201 | T Th 1:10pm - 2:25pm Room TBA |
3 | 0/30 | |

MATH 1101 | 006/19056 | T Th 2:40pm - 3:55pm Room TBA |
Alexander Cowan | 3 | 0/30 |

**MATH UN1102 Calculus II.** *3 points*.

Prerequisites: MATH UN1101 or the equivalent.

Methods of integration, applications of the integral, Taylor's theorem, infinite series. (SC)

Fall 2018: MATH UN1102 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

MATH 1102 | 001/21348 | M W 10:10am - 11:25am 209 Havemeyer Hall |
Evgeni Dimitrov | 3 | 71/100 |

MATH 1102 | 002/68227 | M W 2:40pm - 3:55pm 203 Mathematics Building |
Sylvain Carpentier | 3 | 54/100 |

MATH 1102 | 003/73735 | M W 4:10pm - 5:25pm 407 Mathematics Building |
Donghan Kim | 3 | 21/30 |

MATH 1102 | 004/77440 | T Th 10:10am - 11:25am 203 Mathematics Building |
Peter Woit | 3 | 31/100 |

MATH 1102 | 005/75792 | T Th 6:10pm - 7:25pm 407 Mathematics Building |
Elliott Stein | 3 | 35/35 |

MATH 1102 | 006/86786 | M W 8:40am - 9:55am 312 Mathematics Building |
Aliakbar Daemi | 3 | 50/100 |

Spring 2019: MATH UN1102 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

MATH 1102 | 001/17885 | M W 4:10pm - 5:25pm Room TBA |
Henri Roesch | 3 | 0/100 |

MATH 1102 | 002/72870 | M W 6:10pm - 7:25pm Room TBA |
Henri Roesch | 3 | 0/100 |

MATH 1102 | 003/62450 | T Th 11:40am - 12:55pm Room TBA |
Pak Hin Lee | 3 | 0/30 |

MATH 1102 | 004/16563 | T Th 2:40pm - 3:55pm Room TBA |
3 | 0/30 | |

MATH 1102 | 005/17398 | T Th 4:10pm - 5:25pm Room TBA |
3 | 0/30 |

**MATH UN1201 Calculus III.** *3 points*.

Prerequisites: MATH UN1101 or the equivalent

Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramer's rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers. (SC)

Fall 2018: MATH UN1201 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

MATH 1201 | 001/06129 | M W 10:10am - 11:25am 405 Milbank Hall |
Daniela De Silva | 3 | 95/100 |

MATH 1201 | 002/15181 | M W 4:10pm - 5:25pm 312 Mathematics Building |
Akram Alishahi | 3 | 103/100 |

MATH 1201 | 003/70393 | M W 5:40pm - 6:55pm 312 Mathematics Building |
Akram Alishahi | 3 | 58/100 |

MATH 1201 | 004/28840 | T Th 8:40am - 9:55am 312 Mathematics Building |
Teng Fei | 3 | 37/100 |

MATH 1201 | 005/29694 | T Th 10:10am - 11:25am 312 Mathematics Building |
Teng Fei | 3 | 58/110 |

MATH 1201 | 006/26829 | T Th 1:10pm - 2:25pm 203 Mathematics Building |
Michael Harris | 3 | 49/100 |

MATH 1201 | 007/66587 | T Th 2:40pm - 3:55pm 312 Mathematics Building |
Michael Harris | 3 | 35/100 |

MATH 1201 | 008/73001 | T Th 6:10pm - 7:25pm 207 Mathematics Building |
Guillaume Remy | 3 | 20/100 |

Spring 2019: MATH UN1201 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

MATH 1201 | 001/29129 | M W 10:10am - 11:25am Room TBA |
Igor Krichever | 3 | 0/100 |

MATH 1201 | 002/28142 | M W 2:40pm - 3:55pm Room TBA |
Linh Truong | 3 | 0/100 |

MATH 1201 | 003/67934 | M W 4:10pm - 5:25pm Room TBA |
Giulia Sacca | 3 | 0/100 |

MATH 1201 | 004/20699 | M W 6:10pm - 7:25pm Room TBA |
Teng Fei | 3 | 0/100 |

MATH 1201 | 005/20830 | T Th 11:40am - 12:55pm Room TBA |
Yoel Groman | 3 | 0/100 |

**MATH UN2010 Linear Algebra.** *3 points*.

Prerequisites: MATH UN1201 or the equivalent.

Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)

Fall 2018: MATH UN2010 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

MATH 2010 | 001/17348 | M W 11:40am - 12:55pm 203 Mathematics Building |
Gus Schrader | 3 | 89/100 |

MATH 2010 | 002/12215 | M W 1:10pm - 2:25pm 203 Mathematics Building |
Gus Schrader | 3 | 88/100 |

MATH 2010 | 003/03818 | T Th 8:40am - 9:55am 405 Milbank Hall |
David Bayer | 3 | 43/100 |

MATH 2010 | 004/02940 | T Th 10:10am - 11:25am 405 Milbank Hall |
David Bayer | 3 | 81/100 |

MATH 2010 | 005/70756 | T Th 6:10pm - 7:25pm 312 Mathematics Building |
Michael Thaddeus | 3 | 44/100 |

MATH 2010 | 006/10282 | M W 4:10pm - 5:25pm 517 Hamilton Hall |
Giulia Sacca | 3 | 27/100 |

Spring 2019: MATH UN2010 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

MATH 2010 | 001/61743 | M W 11:40am - 12:55pm Room TBA |
Alexandra Florea | 3 | 0/100 |

MATH 2010 | 002/18837 | M W 1:10pm - 2:25pm Room TBA |
Alexandra Florea | 3 | 0/100 |

MATH 2010 | 003/12804 | T Th 10:10am - 11:25am Room TBA |
Nicholas Salter | 3 | 0/100 |

MATH 2010 | 004/23515 | T Th 11:40am - 12:55pm Room TBA |
Nicholas Salter | 3 | 0/100 |

MATH 2010 | 005/68757 | T Th 6:10pm - 7:25pm Room TBA |
Elliott Stein | 3 | 0/100 |

**MATH UN2030 Ordinary Differential Equations.** *3 points*.

Prerequisites: MATH UN1102 and MATH UN1201 or the equivalent.

Special differential equations of order one. Linear differential equations with constant and variable coefficients. Systems of such equations. Transform and series solution techniques. Emphasis on applications.

Fall 2018: MATH UN2030 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

MATH 2030 | 001/61500 | M W 11:40am - 12:55pm 612 Schermerhorn Hall |
Oleg Lazarev | 3 | 41/60 |

MATH 2030 | 002/22382 | T Th 2:40pm - 3:55pm 207 Mathematics Building |
Kyler Siegel | 3 | 63/100 |

Spring 2019: MATH UN2030 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

MATH 2030 | 001/69879 | T Th 1:10pm - 2:25pm Room TBA |
Evgeni Dimitrov | 3 | 0/100 |

MATH 2030 | 002/15671 | T Th 2:40pm - 3:55pm Room TBA |
Evgeni Dimitrov | 3 | 0/100 |

**MATH UN2500 Analysis and Optimization.** *3 points*.

Prerequisites: MATH UN1102 and MATH UN1201 or the equivalent and MATH UN2010.

Mathematical methods for economics. Quadratic forms, Hessian, implicit functions. Convex sets, convex functions. Optimization, constrained optimization, Kuhn-Tucker conditions. Elements of the calculus of variations and optimal control. (SC)

Fall 2018: MATH UN2500 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

MATH 2500 | 001/19350 | M W 10:10am - 11:25am 312 Mathematics Building |
Shotaro Makisumi | 3 | 52/100 |

MATH 2500 | 002/11241 | M W 11:40am - 12:55pm 312 Mathematics Building |
Shotaro Makisumi | 3 | 63/100 |

Spring 2019: MATH UN2500 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

MATH 2500 | 001/64928 | T Th 8:40am - 9:55am Room TBA |
Kanstanstin Matetski | 3 | 0/100 |

MATH 2500 | 002/14987 | T Th 10:10am - 11:25am Room TBA |
Kanstanstin Matetski | 3 | 0/100 |

**MATH UN3951 Undergraduate Seminars in Mathematics I.** *3 points*.

Prerequisites: Two years of calculus, at least one year of additional mathematics courses, and the director of undergraduate studies' permission.

The subject matter is announced at the start of registration and is different in each section. Each student prepares talks to be given to the seminar, under the supervision of a faculty member or senior teaching fellow.

Fall 2018: MATH UN3951 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

MATH 3951 | 001/02944 | |
Daniela De Silva | 3 | 48/40 |

**MATH GU4061 Introduction To Modern Analysis I.** *3 points*.

Prerequisites: MATH UN1202 or the equivalent, and MATH UN2010. The second term of this course may not be taken without the first.

Real numbers, metric spaces, elements of general topology. Continuous and differential functions. Implicit functions. Integration; change of variables. Function spaces.

Fall 2018: MATH GU4061 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

MATH 4061 | 001/62476 | T Th 11:40am - 12:55pm 417 Mathematics Building |
Bin Guo | 3 | 28/64 |

MATH 4061 | 002/26578 | M W 10:10am - 11:25am 520 Mathematics Building |
Alexis Drouot | 3 | 30/49 |

Spring 2019: MATH GU4061 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

MATH 4061 | 001/24581 | M W 11:40am - 12:55pm Room TBA |
Hui Yu | 3 | 0/49 |

MATH 4061 | 002/61614 | M W 2:40pm - 3:55pm Room TBA |
Hui Yu | 3 | 0/64 |

### Statistics

**STAT GU4001 Introduction to Probability and Statistics.** *3 points*.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).

Prerequisites: Calculus through multiple integration and infinite sums.

A calculus-based tour of the fundamentals of probability theory and statistical inference. Probability models, random variables, useful distributions, conditioning, expectations, law of large numbers, central limit theorem, point and confidence interval estimation, hypothesis tests, linear regression. This course replaces SIEO 4150.

Fall 2018: STAT GU4001 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

STAT 4001 | 001/17345 | T Th 8:40am - 9:55am 614 Schermerhorn Hall |
David Rios | 3 | 85/120 |

STAT 4001 | 002/65467 | M W 2:40pm - 3:55pm 614 Schermerhorn Hall |
David Rios | 3 | 110/120 |

Spring 2019: STAT GU4001 |
|||||

Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |

STAT 4001 | 001/10448 | T Th 1:10pm - 2:25pm Room TBA |
David Rios | 3 | 0/150 |