**Chair:** Rajiv Sethi (Ann Whitney Olin Professor)

**Professors:** Elizabeth Ananat, André Burgstaller, Alan Dye, Daniel Hamermesh (Distinguished Scholar), Sharon Harrison, Shaw-Hwa Lo (Statistics), Lalith Munasinghe, David Weiman (Alena Wels Hirschorn '58 Professor)

**Associate Professors:** Yang Feng (Statistics), Jingchen Liu (Statistics), Randall Reback, Ashley Timmer (Adjunct)

**Assistant Professors:** Belinda Archibong, Biwei Chen (Term), Martina Jasova, Elizabeth Kopko (Adjunct), Peter Orbanz (Statistics), Sonia Pereira (Term), Anja Tolonen, Homa Zarghamee

**Associates**: John Park

**Lecturers in Statistics**: Banu Baydil, Ronald Neath, David Rios, Joyce Robbins, Gabriel Young

## Computational Track

A major in Economics-Statistics, Computational Track must complete the following 16 courses or their equivalents:

**10 courses in Economics, Mathematics**

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

ECON BC1003 | Introduction to Economic Reasoning | |

MATH UN1102 | Calculus II | |

MATH UN1201 | Calculus III | |

MATH UN2010 | Linear Algebra | |

ECON BC3033 | Intermediate Macroeconomic Theory | |

ECON BC3035 | Intermediate Microeconomic Theory | |

ECON BC3041 | Theoretical Foundations of Political Economy | |

Two Upper-level Electives in Economics | ||

ECON BC3063 | Senior Seminar |

**6 courses in Statistics**

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

STAT UN1201 | Calculus-Based Introduction to Statistics | |

ECON BC3018 | Econometrics | |

STAT UN2102 | Applied Statistical Computing | |

STAT UN2104 | Applied Categorical Data Analysis | |

One of the following two courses: | ||

Applied Statistical Methods | ||

Applied Data Mining | ||

One Upper-level Elective in Statistics (STAT UN3106, GU4203, GU4204, GU4205, GU4206, or a Computer Science Elective) |

## Theoretical Track

A major in Economics-Statistics, Theoretical Track must complete the following 16 courses or their equivalents:

**10 courses in Economics, Mathematics** which are the same as in the Computational Track above, plus

**6 courses in Statistics** which differs from the Computational Track somewhat:

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

STAT UN1201 | Calculus-Based Introduction to Statistics | |

ECON BC3018 | Econometrics | |

STAT GU4203 | PROBABILITY THEORY | |

STAT GU4204 | Statistical Inference | |

STAT GU4205 | Linear Regression Models | |

One Elective in Statistics at the 3000+ level (or a Computer Science Elective such as COMS W1004, W1005, W1007, or STAT UN2102) |

### Economics, Mathematics

**ECON BC1003 Introduction to Economic Reasoning.** *3 points*.

BC: Fulfillment of General Education Requirement: Social Analysis (SOC I)., BC: Fulfillment of General Education Requirement: Social Analysis (SOC II).

Covers basic elements of microeconomic and marcoeconomic reasoning at an introductory level. Topics include Individual Constraints and Preferences, Production by Firms, Market Transactions, Competition, The Distribution of Income, Technological Progress and Growth, Unemployment and Inflation, the Role of Government in the Economy.* Note: Students cannot get credit for ECON BC1003 if they have taken the Columbia introductory course ECON W1105 Principles of Economics.*

Fall 2019: ECON BC1003 |
|||||

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

ECON 1003 | 001/07809 | M W 1:10pm - 2:25pm 328 Milbank Hall |
Sonia Pereira, Qasim Abbas | 3 | 49/56 |

ECON 1003 | 003/07811 | T Th 10:10am - 11:25am Ll104 Diana Center |
Belinda Archibong, Dan Poniachik | 3 | 39/58 |

Spring 2020: ECON BC1003 |
|||||

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

ECON 1003 | 001/00145 | M W 2:40pm - 3:55pm 328 Milbank Hall |
Alan Dye | 3 | 25/50 |

ECON 1003 | 002/00146 | M W 1:10pm - 2:25pm Ll001 Milstein Center |
Homa Zarghamee | 3 | 50/50 |

**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 2019: MATH UN1102 |
|||||

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

MATH 1102 | 001/29219 | M W 1:10pm - 2:25pm 417 Mathematics Building |
Yi Sun | 3 | 55/64 |

MATH 1102 | 002/50788 | T Th 10:10am - 11:25am 417 Mathematics Building |
Peter Woit | 3 | 19/64 |

MATH 1102 | 003/50789 | T Th 4:10pm - 5:25pm 203 Mathematics Building |
Nathan Dowlin | 3 | 95/100 |

MATH 1102 | 004/50790 | T Th 6:10pm - 7:25pm 203 Mathematics Building |
Nathan Dowlin | 3 | 45/100 |

MATH 1102 | 005/50791 | M W 4:10pm - 5:25pm 407 Mathematics Building |
Xuan Wu | 3 | 18/30 |

MATH 1102 | 006/50792 | T Th 11:40am - 12:55pm 407 Mathematics Building |
Donghan Kim | 3 | 33/36 |

Spring 2020: MATH UN1102 |
|||||

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

MATH 1102 | 001/12029 | M W 1:10pm - 2:25pm 207 Mathematics Building |
Yi Sun | 3 | 38/125 |

MATH 1102 | 002/12030 | M W 2:40pm - 3:55pm 407 Mathematics Building |
Semen Rezchikov | 3 | 30/30 |

MATH 1102 | 003/12031 | T Th 11:40am - 12:55pm 207 Mathematics Building |
Michael Woodbury | 3 | 65/125 |

MATH 1102 | 004/12032 | T Th 6:10pm - 7:25pm 407 Mathematics Building |
Iakov Kononov | 3 | 30/30 |

**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 2019: MATH UN1201 |
|||||

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

MATH 1201 | 001/50765 | M W 8:40am - 9:55am 312 Mathematics Building |
Mohammed Abouzaid | 3 | 60/100 |

MATH 1201 | 002/50766 | M W 10:10am - 11:25am 312 Mathematics Building |
Konstantin Aleshkin | 3 | 37/100 |

MATH 1201 | 003/50767 | M W 11:40am - 12:55pm 312 Mathematics Building |
Konstantin Aleshkin | 3 | 57/100 |

MATH 1201 | 004/50768 | T Th 11:40am - 12:55pm 520 Mathematics Building |
Ilya Kofman | 3 | 22/49 |

MATH 1201 | 005/50769 | T Th 1:10pm - 2:25pm 203 Mathematics Building |
Stephen Miller | 3 | 84/100 |

MATH 1201 | 006/50770 | T Th 2:40pm - 3:55pm 312 Mathematics Building |
Stephen Miller | 3 | 85/100 |

MATH 1201 | 007/50771 | T Th 4:10pm - 5:25pm 207 Mathematics Building |
Inbar Klang | 3 | 109/110 |

MATH 1201 | 008/50772 | T Th 6:10pm - 7:25pm 323 Milbank Hall |
Inbar Klang | 3 | 29/100 |

Spring 2020: MATH UN1201 |
|||||

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

MATH 1201 | 001/12037 | M W 10:10am - 11:25am 207 Mathematics Building |
Carolyn Abbott | 3 | 53/125 |

MATH 1201 | 002/12039 | M W 11:40am - 12:55pm 207 Mathematics Building |
Konstantin Aleshkin | 3 | 37/125 |

MATH 1201 | 003/12040 | M W 2:40pm - 3:55pm 312 Mathematics Building |
Igor Krichever | 3 | 116/116 |

MATH 1201 | 004/12041 | T Th 1:10pm - 2:25pm 312 Mathematics Building |
Stephen Miller | 3 | 99/116 |

MATH 1201 | 005/12042 | T Th 6:10pm - 7:25pm 203 Mathematics Building |
Inbar Klang | 3 | 112/116 |

**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 2019: MATH UN2010 |
|||||

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

MATH 2010 | 001/50780 | M W 11:40am - 12:55pm 203 Mathematics Building |
Francesco Lin | 3 | 87/100 |

MATH 2010 | 002/50781 | M W 4:10pm - 5:25pm 203 Mathematics Building |
Kyle Hayden | 3 | 100/102 |

MATH 2010 | 003/50782 | T Th 10:10am - 11:25am 520 Mathematics Building |
Henry Pinkham | 3 | 17/49 |

MATH 2010 | 004/50783 | T Th 4:10pm - 5:25pm 312 Mathematics Building |
Michael Thaddeus | 3 | 54/100 |

MATH 2010 | 005/50784 | T Th 6:10pm - 7:25pm 312 Mathematics Building |
Bianca Santoro | 3 | 60/100 |

Spring 2020: MATH UN2010 |
|||||

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

MATH 2010 | 001/12050 | M W 10:10am - 11:25am 203 Mathematics Building |
Alexis Drouot | 3 | 53/110 |

MATH 2010 | 002/12051 | M W 11:40am - 12:55pm 203 Mathematics Building |
Gus Schrader | 3 | 110/110 |

MATH 2010 | 003/12052 | T Th 10:10am - 11:25am 312 Mathematics Building |
Henry Pinkham | 3 | 24/116 |

MATH 2010 | 004/12053 | T Th 2:40pm - 3:55pm 207 Mathematics Building |
Nathan Dowlin | 3 | 125/125 |

MATH 2010 | 005/12054 | T Th 6:10pm - 7:25pm 520 Mathematics Building |
Elliott Stein | 3 | 29/45 |

**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.

Fall 2019: ECON BC3033 |
|||||

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

ECON 3033 | 001/07802 | M W 10:10am - 11:25am 504 Diana Center |
Martina Jasova, Martha Susana Jaimes Builes | 4 | 64/70 |

Spring 2020: ECON BC3033 |
|||||

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

ECON 3033 | 001/00166 | M W 6:10pm - 7:25pm 504 Diana Center |
Martina Jasova | 4 | 60/60 |

ECON 3033 | 002/00167 | T Th 6:10pm - 7:25pm 504 Diana Center |
Andre Burgstaller | 4 | 12/60 |

**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 2019: ECON BC3035 |
|||||

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

ECON 3035 | 001/07813 | Th 12:10pm - 1:00pm Room TBA |
Elizabeth Ananat, John Park | 4 | 34/50 |

ECON 3035 | 001/07813 | M W 2:40pm - 3:55pm Ll001 Milstein Center |
Elizabeth Ananat, John Park | 4 | 34/50 |

ECON 3035 | 002/07822 | T Th 4:10pm - 5:25pm Ll103 Diana Center |
Lalith Munasinghe, John Park | 4 | 19/50 |

Spring 2020: ECON BC3035 |
|||||

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

ECON 3035 | 001/00168 | T Th 4:10pm - 5:25pm 323 Milbank Hall |
Lalith Munasinghe | 4 | 37/60 |

**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 2019: ECON BC3041 |
|||||

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

ECON 3041 | 001/07814 | T Th 1:10pm - 2:25pm Ll103 Diana Center |
Andre Burgstaller | 3 | 40/80 |

ECON 3041 | 002/07823 | M W 2:40pm - 3:55pm Ll103 Diana Center |
David Weiman | 3 | 48/45 |

Spring 2020: ECON BC3041 |
|||||

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

ECON 3041 | 001/00170 | T Th 1:10pm - 2:25pm Room TBA |
Andre Burgstaller | 3 | 38 |

ECON 3041 | 002/00171 | T Th 10:10am - 11:25am Ll103 Diana Center |
Belinda Archibong | 3 | 39/50 |

**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 2019: ECON BC3063 |
|||||

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

ECON 3063 | 001/07803 | M 2:10pm - 4:00pm 502 Diana Center |
Anja Tolonen | 4 | 17/16 |

ECON 3063 | 002/07804 | T 2:10pm - 4:00pm 805 Altschul Hall |
Belinda Archibong | 4 | 13/16 |

ECON 3063 | 003/07829 | M 12:00pm - 1:50pm Ll018 Milstein Center |
Martina Jasova | 4 | 12/16 |

Spring 2020: ECON BC3063 |
|||||

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

ECON 3063 | 001/00175 | M 12:10pm - 2:00pm Room TBA |
Elizabeth Ananat | 4 | 11/18 |

ECON 3063 | 002/00176 | T 2:10pm - 4:00pm Room TBA |
Lalith Munasinghe | 4 | 7/17 |

### Statistics, Computer Science

**STAT UN1201 Calculus-Based Introduction to Statistics.** *3 points*.

CC/GS: Partial Fulfillment of Science Requirement, BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).

Prerequisites: one semester of calculus.

Designed for students who desire a strong grounding in statistical concepts with a greater degree of mathematical rigor than in *STAT W1111*. Random variables, probability distributions, pdf, cdf, mean, variance, correlation, conditional distribution, conditional mean and conditional variance, law of iterated expectations, normal, chi-square, F and t distributions, law of large numbers, central limit theorem, parameter estimation, unbiasedness, consistency, efficiency, hypothesis testing, p-value, confidence intervals, maximum likelihood estimation. Serves as the pre-requisite for *ECON W3412*.

Fall 2019: STAT UN1201 |
|||||

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

STAT 1201 | 001/48420 | M W 11:40am - 12:55pm 602 Hamilton Hall |
Sumit Mukherjee | 3 | 67/86 |

STAT 1201 | 002/48422 | T Th 8:40am - 9:55am 602 Hamilton Hall |
Hammou ElBarmi | 3 | 81/86 |

STAT 1201 | 003/48423 | M W 10:10am - 11:25am 602 Hamilton Hall |
Philip Protter | 3 | 65/86 |

STAT 1201 | 004/48424 | T Th 6:10pm - 7:25pm 602 Hamilton Hall |
Samory Kpotufe | 3 | 50/86 |

Spring 2020: STAT UN1201 |
|||||

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

STAT 1201 | 001/46671 | M W 10:10am - 11:25am 717 Hamilton Hall |
Hammou ElBarmi | 3 | 67/86 |

STAT 1201 | 002/46672 | M W 8:40am - 9:55am 702 Hamilton Hall |
Joyce Robbins | 3 | 86/86 |

STAT 1201 | 003/46673 | T Th 8:40am - 9:55am 717 Hamilton Hall |
Joyce Robbins | 3 | 86/86 |

STAT 1201 | 004/46674 | M W 6:10pm - 7:25pm 517 Hamilton Hall |
David Rios | 3 | 83/86 |

**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 2019: ECON BC3018 |
|||||

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

ECON 3018 | 001/07812 | M W 11:40am - 12:55pm Ll103 Diana Center |
Homa Zarghamee | 4 | 43/55 |

Spring 2020: ECON BC3018 |
|||||

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

ECON 3018 | 001/00163 | T Th 11:40am - 12:55pm Room TBA |
Noha Emara | 4 | 40/40 |

**STAT UN2102 Applied Statistical Computing.** *3 points*.

Corequisites: An introductory course in statistic (STAT UN1101 is recommended).

This course is an introduction to R programming. After learning basic programming component, such as defining variables and vectors, and learning different data structures in R, students will, via project-based assignments, study more advanced topics, such as recursion, conditionals, modular programming, and data visualization. Students will also learn the fundamental concepts in computational complexity, and will practice writing reports based on their statistical analyses.

Spring 2020: STAT UN2102 |
|||||

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

STAT 2102 | 001/46679 | T Th 4:10pm - 5:25pm 203 Mathematics Building |
Wayne Lee | 3 | 120/120 |

**STAT UN2104 Applied Categorical Data Analysis.** *3 points*.

Prerequisites: STAT UN2103 is strongly recommended. Students without programming experience in R might find STAT UN2102 very helpful.

This course covers statistical models amd methods for analyzing and drawing inferences for problems involving categofical data. The goals are familiarity and understanding of a substantial and integrated body of statistical methods that are used for such problems, experience in anlyzing data using these methods, and profficiency in communicating the results of such methods, and the ability to critically evaluate the use of such methods. Topics include binomial proportions, two-way and three-way contingency tables, logistic regression, log-linear models for large multi-way contingency tables, graphical methods. The statistical package R will be used.

Spring 2020: STAT UN2104 |
|||||

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

STAT 2104 | 001/46719 | M W 11:40am - 12:55pm 603 Hamilton Hall |
Ronald Neath | 3 | 34/60 |

**STAT UN3105 Applied Statistical Methods.** *3 points*.

Prerequisites: At least one, and preferably both, of STAT UN2103 and UN2104 are strongly recommended. Students without programming experience in R might find STAT UN2102 very helpful.

This course is intended to give students practical experience with statistical methods beyond linear regression and categorical data analysis. The focus will be on understanding the uses and limitations of models, not the mathematical foundations for the methods. Topics that may be covered include random and mixed-effects models, classical non-parametric techniques, the statistical theory causality, sample survey design, multi-level models, generalized linear regression, generalized estimating equations and over-dispersion, survival analysis including the Kaplan-Meier estimator, log-rank statistics, and the Cox proportional hazards regression model. Power calculations and proposal and report writing will be discussed.

Fall 2019: STAT UN3105 |
|||||

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

STAT 3105 | 001/48427 | T Th 11:40am - 12:55pm 417 Mathematics Building |
Wayne Lee | 3 | 23/60 |

**STAT UN3106 Applied Data Mining.** *3 points*.

Prerequisites: STAT UN2103. Students without programming experience in R might find STAT UN2102 very helpful.

This course will be taught as a machine learning class. We will cover topics including data-based prediction, classification, specific classification methods (such as logistic regression and random forests), and basics of neural networks. Programming in homeworks will require R; students without programming experience in R might find STAT UN2102 helpful.

Spring 2020: STAT UN3106 |
|||||

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

STAT 3106 | 001/16760 | T Th 2:40pm - 3:55pm 303 Hamilton Hall |
Vincent Dorie | 3 | 47/50 |

**STAT GU4203 PROBABILITY THEORY.** *3 points*.

Prerequisites: At least one semester, and preferably two, of calculus. An introductory course (STAT UN1201, preferably) is strongly recommended.

A calculus-based introduction to probability theory. A quick review of multivariate calculus is provided. Topics covered include random variables, conditional probability, expectation, independence, Bayes’ rule, important distributions, joint distributions, moment generating functions, central limit theorem, laws of large numbers and Markov’s inequality.

Fall 2019: STAT GU4203 |
|||||

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

STAT 4203 | 001/48477 | M W 10:10am - 11:25am 903 School Of Social Work |
Shaw-Hwa Lo | 3 | 39/60 |

STAT 4203 | 002/48478 | M W 10:10am - 12:40pm 207 Mathematics Building |
Michael Sobel | 3 | 3/25 |

STAT 4203 | 003/48479 | T Th 6:10pm - 7:25pm 207 Mathematics Building |
David Rios | 3 | 32/60 |

STAT 4203 | 004/48480 | T Th 6:10pm - 7:25pm 207 Mathematics Building |
David Rios | 3 | 51/80 |

Spring 2020: STAT GU4203 |
|||||

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

STAT 4203 | 001/16761 | T Th 6:10pm - 7:25pm 209 Havemeyer Hall |
David Rios | 3 | 56/75 |

STAT 4203 | 002/16762 | T Th 6:10pm - 7:25pm 209 Havemeyer Hall |
David Rios | 3 | 1/20 |

**STAT GU4204 Statistical Inference.** *3 points*.

CC/GS: Partial Fulfillment of Science Requirement, BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).

Prerequisites: STAT GU4203. At least one semester of calculus is required; two or three semesters are strongly recommended.

Calculus-based introduction to the theory of statistics. Useful distributions, law of large numbers and central limit theorem, point estimation, hypothesis testing, confidence intervals maximum likelihood, likelihood ratio tests, nonparametric procedures, theory of least squares and analysis of variance.

Fall 2019: STAT GU4204 |
|||||

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

STAT 4204 | 002/48439 | M W 10:10am - 12:40pm 501 Northwest Corner |
Victor de la Pena | 3 | 2/25 |

STAT 4204 | 003/48440 | M W 6:10pm - 7:25pm 428 Pupin Laboratories |
Ronald Neath | 3 | 48/75 |

STAT 4204 | 004/48441 | M W 6:10pm - 7:25pm 428 Pupin Laboratories |
Ronald Neath | 3 | 9/55 |

Spring 2020: STAT GU4204 |
|||||

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

STAT 4204 | 001/16763 | M W 2:40pm - 3:55pm 313 Fayerweather |
Ronald Neath | 3 | 49/75 |

STAT 4204 | 002/16764 | T Th 6:10pm - 7:25pm 417 International Affairs Bldg |
Bodhisattva Sen | 3 | 50/50 |

STAT 4204 | 003/16765 | T Th 6:10pm - 7:25pm 417 International Affairs Bldg |
Bodhisattva Sen | 3 | 48/80 |

**STAT GU4205 Linear Regression Models.** *3 points*.

CC/GS: Partial Fulfillment of Science Requirement

Prerequisites: STAT GU4204 or the equivalent, and a course in linear algebra.

Theory and practice of regression analysis. Simple and multiple regression, testing, estimation, prediction, and confidence procedures, modeling, regression diagnostics and plots, polynomial regression, colinearity and confounding, model selection, geometry of least squares. Extensive use of the computer to analyse data.

Fall 2019: STAT GU4205 |
|||||

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

STAT 4205 | 001/48433 | M W 1:10pm - 2:25pm 517 Hamilton Hall |
Wayne Lee | 3 | 23/65 |

STAT 4205 | 002/48443 | M W 2:40pm - 3:55pm 301 Pupin Laboratories |
Wayne Lee | 3 | 16/25 |

STAT 4205 | 003/48445 | F 10:10am - 12:55pm 402 Chandler |
Linxi Liu | 3 | 15/35 |

STAT 4205 | 004/48446 | T Th 7:40pm - 8:55pm 209 Havemeyer Hall |
Haiyuan Wang | 3 | 13/35 |

Spring 2020: STAT GU4205 |
|||||

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

STAT 4205 | 001/46716 | Sa 12:10pm - 2:40pm 903 School Of Social Work |
Jingchen Liu | 3 | 30/60 |

**STAT GU4206 Statistical Computing and Introduction to Data Science.** *3 points*.

Prerequisites: STAT GU4204 and GU4205 or the equivalent.

Introduction to programming in the R statistical package: functions, objects, data structures, flow control, input and output, debugging, logical design, and abstraction. Writing code for numerical and graphical statistical analyses. Writing maintainable code and testing, stochastic simulations, paralleizing data analyses, and working with large data sets. Examples from data science will be used for demonstration.

Fall 2019: STAT GU4206 |
|||||

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

STAT 4206 | 001/48449 | F 8:40am - 11:25am 903 School Of Social Work |
Gabriel Young | 3 | 30/46 |

Spring 2020: STAT GU4206 |
|||||

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

STAT 4206 | 001/16766 | F 10:10am - 12:40pm 402 Chandler |
Thibault Vatter | 3 | 24/80 |

**COMS W1004 Introduction to Computer Science and Programming in Java.** *3 points*.

Lect: 3.

A general introduction to computer science for science and engineering students interested in majoring in computer science or engineering. Covers fundamental concepts of computer science, algorithmic problem-solving capabilities, and introductory Java programming skills. Assumes no prior programming background. Columbia University students may receive credit for only one of the following two courses: *1004* or *1005*.

Fall 2019: COMS W1004 |
|||||

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

COMS 1004 | 001/35930 | M W 5:40pm - 6:55pm 417 International Affairs Bldg |
Paul Blaer | 3 | 352/400 |

Spring 2020: COMS W1004 |
|||||

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

COMS 1004 | 001/12611 | T Th 1:10pm - 2:25pm 309 Havemeyer Hall |
Adam Cannon | 3 | 236/300 |

COMS 1004 | 002/12612 | T Th 2:40pm - 3:55pm 309 Havemeyer Hall |
Adam Cannon | 3 | 224/300 |

**COMS W1005 Introduction to Computer Science and Programming in MATLAB.** *3 points*.

CC/GS: Partial Fulfillment of Science Requirement

A general introduction to computer science concepts, algorithmic problem-solving capabilities, and programming skills in MATLAB. Assumes no prior programming background. Columbia University students may receive credit for only one of the following two courses: *W1004* or *W1005*.

**COMS W1007 Honors Introduction to Computer Science.** *3 points*.

Lect: 3.

Prerequisites: AP Computer Science with a grade of 4 or 5 or similar experience.

An honors-level introduction to computer science, intended primarily for students considering a major in computer science. Computer science as a science of abstraction. Creating models for reasoning about and solving problems. The basic elements of computers and computer programs. Implementing abstractions using data structures and algorithms. Taught in Java.

Fall 2019: COMS W1007 |
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
---|---|---|---|---|---|

COMS 1007 | 001/35951 | T Th 1:10pm - 2:25pm 633 Seeley W. Mudd Building |
John Kender | 3 | 30/70 |