QUANTITATIVE METHODS
STATISTICS / ECONOMETRICS
[Statistics Advanced Placement: students who have passed the AP test for statistics with a score of 5 and have passed the Economics Department placement exam [starting F'05] receive 3 points credit Economics-track majors, however, will not be exempt from the statistics requirement ECON BC 2411 or the equivalent, even if they receive 3 points AP credit for Statistics.]
ECON BC 1007y
Mathematical Methods for Economics
Covers the basic mathematical methods required for intermediate theory courses and upper level electives in economics. Topics include sets and functions, matrix algebra, equilibrium analysis, comparative statics, constrained optimization, and linear programming. -- Staff
3 points.
ECON BC 2411x
Statistics for Economics
Elementary computational methods in statistics. Basic techniques in regression analysis of econometric models. One-hour weekly recitation sessions to complement lectures. —K. Mammen
No Prerequisites.
STAT W1111, STAT W1101, PSYC BC1101, BUSI G6014, or STAT W1211 may be stubstituted for ECON BC2411.
4 points. S [syllabi: F'04-Mammen, F'03-Mammen, F'01-Harrison ]
ECON BC 3018y
Econometrics
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 employment, and financial markets. -- Staff
Prerequisites: ECON BC3035 or ECON BC3033, and ECON BC2411 or the equivalent, or permission of the instructor. ECON W3412 (at Columbia) may be stubstituted for ECON BC3018.
4 points. S [syllabi: S'04-Harrison, S'03-Harrison, S'00-Harrison]
CALCULUS
[Calculus Advanced Placement: Students who have passed the advanced placement test for Calculus AB with a grade of 4 or 5 or BC with a grade of 4 receive 3 points of credit. Those who passed Calculus BC with a grade of 5 will receive 4 points of credit or 6 points on placing into Calculus III or Honors Math III and completing with a grade of C or better.
Calculus I: Students who have not previously studied calculus should begin with Calculus I.
Calculus II, III: Students with 3 or higher on the Calculus AB or BC advanced placement test and have placed out of Calculus 1 may start with Calculus II. Students with 5 on the Calculus BC test may start with Calculus III.]
The calculus requirement for the Economics track may be satisfied by taking two of the following six courses.
MAT
V 1101x, y
Calculus I
Functions, limits, derivatives;
introduction to integrals. —Staff
Prerequisite: A firm grasp of high school mathematics through trigonometry,
or MAT W 1003 or the equivalent.
The Help Room, 333 Milbank (hours posted on door), is open to students
seeking individual help from the instructors and teaching assistants.
3 points.
MAT
V 1102x, y
Calculus II
Methods of integration; applications
of the integral; Taylor’s theorem; infinite series; sequences and
series. —Staff
Prerequisite: MATH V1101 or the equivalent.
3 points.
MATH
V 1201x, y
Calculus III
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, scalarvalued functions of several
variables, partial derivatives, gradients, surfaces, optimization, the
method of Lagrange multipliers. —Staff
Prerequisite: Either MATH V1101 with a grade of B or better or MATH
V1102.
3 points. [syllabi: F'04-Dzhamay | F'04-Bank]
MATH V1202x,y
Calculus IV
Multiple integrals, Taylor's formula in several variables, line and surface integrals, calculus of vector fields, fourier series. --Staff
Prerequisite: MATH V1201 or the equivalent.
3 points.
MATH V1107-V1108
Honors Mathematics I & II
A two-semester introduction to single-variable calculus. Recommended for mathematics majors.
Prerequisite for V1108: MATH V1107 or the instructor's permission.
3 points each.
