**Economics Department Representative:** Sharon Harrison

**Mathematics Department Representative:** David Bayer

## Requirements for the Major

The Economics & Mathematics track requires a minimum of 15 courses (48 minimum credits).

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 | INTRO PROBABILITY/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.** *4.00 points*.

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

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

**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.

**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.

**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.

**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.

**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.

**ECON BC3063 SENIOR SEMINAR.** *4.00 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 instructors choice. See department for current topics and for senior requirement preference forms

### Mathematics

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

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

Prerequisites: see Courses for First-Year Students. Functions, limits, derivatives, introduction to integrals.

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) **

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

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

Prerequisites: *MATH V1101* or the equivalent.

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

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

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

Prerequisites: *MATH V1101* 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)

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

Prerequisites: *MATH V1201*, or the equivalent.

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

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

Prerequisites: *MATH V1102-MATH V1201* 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.

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

Prerequisites: *MATH V1102-MATH V1201* or the equivalent and *MATH V2010*.

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)

**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.

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

Prerequisites: *MATH V1202* or the equivalent, and *MATH V2010*. 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.

### Statistics

**SIEO W3600 INTRO PROBABILITY/STATISTICS.** *4.00 points*.

**STAT GU4001 INTRODUCTION TO PROBABILITY AND STATISTICS.** *3.00 points*.

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