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:

Economics (8 courses)
ECON BC1003Introduction to Economic Reasoning3
ECON BC3018Econometrics4
ECON BC3033Intermediate Macroeconomic Theory4
ECON BC3035Intermediate Microeconomic Theory4
ECON BC3041Theoretical Foundations of Political Economy3
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 UN2010Linear Algebra3
MATH UN2500Analysis and Optimization **3
SIEO W3600Introduction to Probability and Statistics (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.

Spring 2017: ECON BC3018
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3018 001/04759 M W 11:40am - 12:55pm
328 Milbank Hall
Anja Tolonen 4 22
ECON 3018 001/04759 Th 1:10pm - 2:00pm
222 Milbank Hall
Anja Tolonen 4 22
Fall 2017: ECON BC3018
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3018 001/01690 M W 11:40am - 12:55pm
903 Altschul Hall
Anja Tolonen 4 37/45

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.

Spring 2017: ECON BC3033
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3033 001/06157 M W 6:10pm - 7:25pm
Ll103 Diana Center
Luis Silva-Yanez 4 39/55
Fall 2017: ECON BC3033
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3033 001/06157 T Th 6:10pm - 7:25pm
504 Diana Center
Andre Burgstaller 4 19

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.

Spring 2017: ECON BC3035
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3035 001/04588 T Th 6:10pm - 7:25pm
323 Milbank Hall
Lalith Munasinghe 4 35/60
Fall 2017: ECON BC3035
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3035 001/04588 T Th 4:10pm - 5:25pm
302 Barnard Hall
Lalith Munasinghe 4 44/60

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.

Spring 2017: ECON BC3041
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3041 001/07742 T Th 1:10pm - 2:25pm
304 Barnard Hall
Andre Burgstaller 3 66
Fall 2017: ECON BC3041
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3041 001/07742 T Th 10:10am - 11:25am
328 Milbank Hall
David Weiman 3 36/45
ECON 3041 002/08111 T Th 8:40am - 9:55am
Ll104 Diana Center
Belinda Archibong 3 37/45

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.

Spring 2017: ECON BC3061
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3061 001/04029  
Lalith Munasinghe 4 0
Fall 2017: ECON BC3061
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3061 001/03575  
Sonia Pereira 4 8
ECON 3061 002/05329 Th 2:10pm - 4:00pm
303 Altschul Hall
Randall Reback 4 6
ECON 3061 003/04820 W 9:00am - 10:50am
118 Barnard Hall
David Weiman 4 1
ECON 3061 004/04872  
0. FACULTY 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 2017: ECON BC3062
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3062 001/04590 M 6:10pm - 8:00pm
303 Altschul Hall
Perry Mehrling 4 6
ECON 3062 002/03966  
Lalith Munasinghe 4 7
ECON 3062 003/08224 T 2:10pm - 4:00pm
308 Diana Center
David Weiman 4 3
ECON 3062 004/01944  
Sonia Pereira 4 8

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.

Spring 2017: ECON BC3063
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECON 3063 001/02840 Th 6:10pm - 8:00pm
501 Diana Center
Rajiv Sethi 4 8
ECON 3063 002/05970 T 4:10pm - 6:00pm
117 Barnard Hall
Lalith Munasinghe 4 7
ECON 3063 003/02843 Th 11:00am - 12:50pm
404 Barnard Hall
Sonia Pereira 4 16
Fall 2017: 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 16
ECON 3063 002/06514 Th 2:10pm - 4:00pm
203 Diana Center
Belinda Archibong 4 13

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)

Spring 2017: MATH UN1101
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 1101 001/69002 M W 8:40am - 9:55am
407 Mathematics Building
Ashwin Deopurkar 3 22/30
MATH 1101 002/18872 M W 10:10am - 11:25am
407 Mathematics Building
Mitchell Faulk 3 26/30
MATH 1101 003/11439 M W 6:10pm - 7:25pm
407 Mathematics Building
Minghan Yan 3 24/30
MATH 1101 004/14059 T Th 11:40am - 12:55pm
207 Mathematics Building
Yu-Shen Lin 3 83/100
MATH 1101 005/24071 T Th 1:10pm - 2:25pm
407 Mathematics Building
Changjian Su 3 18/30
MATH 1101 006/12207 M W 11:40am - 12:55pm
407 Mathematics Building
Xiaowei Tan 3 16/30
MATH 1101 007/11790 T Th 10:10am - 11:25am
507 Mathematics Building
Beomjun Choi 3 10/30
MATH 1101 008/29542 T Th 6:10pm - 7:25pm
307 Mathematics Building
Zhechi Cheng 3 8/30
Fall 2017: MATH UN1101
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 1101 001/07384 M W 8:40am - 9:55am
405 Milbank Hall
Dusa McDuff 3 101/110
MATH 1101 002/17570 M W 10:10am - 11:25am
312 Mathematics Building
Chao Li 3 111/116
MATH 1101 003/29604 M W 11:40am - 12:55pm
312 Mathematics Building
Chao Li 3 116/116
MATH 1101 004/73071 M W 2:40pm - 3:55pm
417 Mathematics Building
Michael Woodbury 3 50/64
MATH 1101 005/18565 M W 4:10pm - 5:25pm
417 Mathematics Building
Michael Woodbury 3 53/64
MATH 1101 006/73884 T Th 10:10am - 11:25am
407 Mathematics Building
Oleksandr Kravets 3 29/35
MATH 1101 007/26909 T Th 11:40am - 12:55pm
407 Mathematics Building
Shuai Wang 3 26/30
MATH 1101 008/64016 T Th 1:10pm - 2:25pm
517 Hamilton Hall
Alexander Perry 3 78/100
MATH 1101 009/21826 T Th 4:10pm - 5:25pm
203 Mathematics Building
Ila Varma 3 88/100
MATH 1101 010/67061 T Th 6:10pm - 7:25pm
207 Mathematics Building
Linh Truong 3 31/100

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) 

Spring 2017: MATH UN1102
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 1102 001/22373 M W 11:40am - 12:55pm
307 Mathematics Building
Zijun Zhou 3 15/35
MATH 1102 002/71505 M W 2:40pm - 3:55pm
520 Mathematics Building
Noah Arbesfeld 3 28/30
MATH 1102 003/76382 M W 10:10am - 11:25am
417 Mathematics Building
Zhijie Huang 3 5/30
MATH 1102 004/75150 T Th 1:10pm - 2:25pm
203 Mathematics Building
Wei Zhang 3 78/100
MATH 1102 005/16760 T Th 6:10pm - 7:25pm
407 Mathematics Building
Elliott Stein 3 33/35
Fall 2017: MATH UN1102
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 1102 001/67192 M W 10:10am - 11:25am
417 Mathematics Building
Bin Guo 3 61/64
MATH 1102 002/70122 M W 2:40pm - 3:55pm
312 Mathematics Building
Li-Cheng Tsai 3 51/100
MATH 1102 003/26180 M W 4:10pm - 5:25pm
407 Mathematics Building
Yi Sun 3 35/35
MATH 1102 004/22286 T Th 10:10am - 11:25am
203 Mathematics Building
Vivek Pal 3 85/100
MATH 1102 005/29410 T Th 6:10pm - 7:25pm
407 Mathematics Building
Renata Picciotto 3 25/30

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) 

Spring 2017: MATH UN1201
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 1201 001/21153 M W 8:40am - 9:55am
207 Mathematics Building
Galyna Dobrovolska 3 60/100
MATH 1201 002/25373 M W 11:40am - 12:55pm
312 Mathematics Building
Gabriele Di Cerbo 3 89/100
MATH 1201 003/71946 M W 1:10pm - 2:25pm
312 Mathematics Building
Gabriele Di Cerbo 3 82/100
MATH 1201 004/70892 M W 6:10pm - 7:25pm
312 Mathematics Building
Teng Fei 3 33/100
MATH 1201 005/05518 T Th 8:40am - 9:55am
304 Barnard Hall
Daniela De Silva 3 94/100
MATH 1201 006/07691 T Th 10:10am - 11:25am
405 Milbank Hall
Daniela De Silva 3 87/100
MATH 1201 007/67220 T Th 11:40am - 12:55pm
717 Hamilton Hall
Yoel Groman 3 51/100
Fall 2017: MATH UN1201
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 1201 001/27988 M W 10:10am - 11:25am
203 Mathematics Building
Joanna Nelson 3 100/105
MATH 1201 002/15820 M W 11:40am - 12:55pm
203 Mathematics Building
Teng Fei 3 57/100
MATH 1201 003/62151 M W 1:10pm - 2:25pm
203 Mathematics Building
Joanna Nelson 3 96/105
MATH 1201 004/68024 M W 4:10pm - 5:25pm
312 Mathematics Building
Jeffrey Kuan 3 109/116
MATH 1201 005/06129 T Th 8:40am - 9:55am
304 Barnard Hall
Daniela De Silva 3 108/110
MATH 1201 006/63259 T Th 4:10pm - 5:25pm
312 Mathematics Building
Akram Alishahi 3 65/100
MATH 1201 007/27974 T Th 5:40pm - 6:55pm
312 Mathematics Building
Akram Alishahi 3 23/100

MATH UN2010 Linear Algebra. 3 points.

Prerequisites: MATH UN1201 or the equivalent.

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

Spring 2017: MATH UN2010
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 2010 001/22319 T Th 8:40am - 9:55am
417 Mathematics Building
Henry Pinkham 3 38/64
MATH 2010 002/74185 T Th 10:10am - 11:25am
312 Mathematics Building
Henry Pinkham 3 47/64
MATH 2010 003/67337 T Th 1:10pm - 2:25pm
614 Schermerhorn Hall
Eric Urban 3 77/110
MATH 2010 004/19348 M W 10:10am - 11:25am
207 Mathematics Building
Guillaume Barraquand 3 86/110
Fall 2017: MATH UN2010
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 2010 001/27023 M W 4:10pm - 5:25pm
207 Mathematics Building
Nathan Dowlin 3 106/120
MATH 2010 002/25355 M W 1:10pm - 2:25pm
312 Mathematics Building
Gus Schrader 3 66/100
MATH 2010 003/03818 T Th 8:40am - 9:55am
405 Milbank Hall
David Bayer 3 77/100
MATH 2010 004/02940 T Th 10:10am - 11:25am
405 Milbank Hall
David Bayer 3 92/100
MATH 2010 005/18445 T Th 6:10pm - 7:25pm
203 Mathematics Building
Elliott Stein 3 89/108

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.

Spring 2017: MATH UN2030
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 2030 001/21760 T Th 11:40am - 12:55pm
203 Mathematics Building
Mu-Tao Wang 3 85/100
MATH 2030 002/66814 T Th 2:40pm - 3:55pm
203 Mathematics Building
Mu-Tao Wang 3 81/100
Fall 2017: MATH UN2030
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 2030 001/23233 M W 5:40pm - 6:55pm
203 Mathematics Building
Hector Chang-Lara 3 33/100
MATH 2030 002/12064 T Th 11:40am - 12:55pm
312 Mathematics Building
Guillaume Barraquand 3 64/100

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)

Spring 2017: MATH UN2500
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 2500 001/60299 T Th 8:40am - 9:55am
203 Mathematics Building
Daniel Halpern-Leistne 3 26/100
MATH 2500 002/14794 T Th 10:10am - 11:25am
203 Mathematics Building
Daniel Halpern-Leistne 3 44/100
Fall 2017: MATH UN2500
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 2500 001/73444 M W 11:40am - 12:55pm
413 Kent Hall
Shotaro Makisumi 3 54/100
MATH 2500 002/26047 M W 2:40pm - 3:55pm
203 Mathematics Building
Shotaro Makisumi 3 73/100

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 2017: MATH UN3951
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 3951 001/02944  
Daniela De Silva 3 31/49

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.

Spring 2017: MATH GU4061
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 4061 001/10113 M W 4:10pm - 5:25pm
717 Hamilton Hall
Bin Guo 3 53/100
Fall 2017: MATH GU4061
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 4061 001/62851 M W 8:40am - 9:55am
417 Mathematics Building
Bin Guo 3 46/64
MATH 4061 002/73447 T Th 2:40pm - 3:55pm
417 Mathematics Building
Patrick Gallagher 3 45/64

Statistics

SIEO W3600 Introduction to Probability and Statistics. 4 points.

Lect: 3. Recit: 1.

Prerequisites: Calculus.

For undergraduates only. This course is required for undergraduate students majoring in IE, OR:EMS, and OR. This class must be taken during the fourth semester. Fundamentals of probability and statistics used in engineering and applied science. Probability: random variables, useful distributions, expectations, law of large numbers, central limit theorem. Statistics: point and confidence interval estimation, hypothesis tests, linear regression. SIEO W3600 must be completed by the fourth term. Only students with special academic circumstances may be allowed to take these courses in alternative semesters with the consultation of CSA and Departmental advisors. Recitation section required.

Spring 2017: SIEO W3600
Course Number Section/Call Number Times/Location Instructor Points Enrollment
SIEO 3600 001/76556 T Th 4:10pm - 5:25pm
833 Seeley W. Mudd Building
Karl Sigman 4 52/120
SIEO 3600 R01/22359 F 9:00am - 10:00am
834 Seeley W. Mudd Building
4 0/0

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.

Spring 2017: STAT GU4001
Course Number Section/Call Number Times/Location Instructor Points Enrollment
STAT 4001 001/21880 T Th 1:10pm - 2:25pm
207 Mathematics Building
David Rios 3 86/110
STAT 4001 002/17296 M W 2:40pm - 3:55pm
312 Mathematics Building
Mark Brown 3 91/110
Fall 2017: STAT GU4001
Course Number Section/Call Number Times/Location Instructor Points Enrollment
STAT 4001 001/65735 Sa 10:10am - 12:55pm
312 Mathematics Building
Daniel Rabinowitz 3 91/120
STAT 4001 002/62655 M W 2:40pm - 3:55pm
614 Schermerhorn Hall
Mark Brown 3 95/120