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COURSE CATALOGUE
MATHEMATICS
Mathematics
333 Milbank
854-3577
www.barnard.edu/math
REQUIREMENTS FOR THE MAJOR
The majors program in both mathematics and applied mathematics are appropriate for students who plan to continue their training in graduate school. Students who begin with Honors Mathematics A-B will need to plan their succeeding course carefully with the help of an adviser.
For a major in Mathematics: 14 courses as follows:
Four courses in calculus or Honors Mathematics A-B, including Advanced Placement Credit. Six courses in mathematics numbered at or above 2000, and four courses in any combination of mathematics and cognate courses. The courses in mathematics must include:
| V 2010 | Linear Algebra (or Honors Mathematics A-B) |
| W 4041–2 | Introduction to Modern Algebra* |
| W 4061–2 | Introduction to Modern Analysis* |
| V 3951x, 3952y | Undergraduate Seminar in Mathematics (at least one term) |
However, students who are not contemplating graduate study in mathematics may replace one or both of the two terms of MATH W 4061-W 4062 by one or two of the following courses: MATH V 2500, V 3007, or W 4032. In exceptional cases, the chair will approve the substitution of certain more advanced courses for those mentioned above.
*Note: It is strongly recommended that the sequences Math W 4041-2 and W 4061-2 be taken in separate years.
For a major in Applied Mathematics: 14 courses plus Junior Seminar in Applied Mathematics:
Four courses in calculus or Honors Mathematics A-B, including Advanced Placement Credit.
V 2010 |
Linear Algebra |
W 4061 |
Introduction to Modern Analysis |
APMA E 4901 |
Seminar in Applied Mathematics: Fall, Junior year |
APMA E 4903 |
Seminar in Applied Mathematics: Fall, Senior year |
APMA E 3900 |
Undergraduate Research in Applied Mathematics |
(APMA E 3900 may be replaced by the combination APMA E 4902/4904, second semester of the junior and senior applied mathematics seminar, when these are offered or, with approval, another technical elective for seniors that involves an undergraduate thesis or creative research report.)
Additional electives, to be approved by the Applied Math Committee, e.g.:
V 2500 |
Analysis and Optimization |
V 3007 |
Complex Variables |
V 3027 |
Ordinary Differential Equations |
V 3028 |
Partial Differential Equations |
V 3030 |
Dynamical Systems |
W 4032 |
Fourier Analysis |
SIEO W 3658 |
Probability |
APMA E 4300 |
Numerical Methods |
For a major in Mathematics-Statistics: 14 courses:
Five courses in mathematics:
V 1101, V 1102 and V 1201 |
Calculus I, II and III or equivalent |
MATH V 2010 |
Linear Algebra |
MATH V 2500 |
Analysis and Optimization |
Five courses in statistics:
STAT W 1211 |
Introduction to Statistics B |
STAT W 3000 |
Introduction to Statistics: Probability Models or |
SIEO W 4105 |
Probability |
STAT W 3659 or |
Statistical Inference |
STAT W 4315 |
Linear Regression Models |
IEOR E 4106 |
Introduction to Operations Research: Stochastic processes or |
SIEO W 4606 |
Elementary Stochastic Processes |
One course in computer science that requires substantial work in programming.
Three courses of electives: An approved selection of advanced courses in mathematics, statistics, applied mathematics, computer science, or mathematical methods courses in physical or social sciences, including biology, economics, and physics.
Students should plan to include a senior thesis or the Undergraduate Seminar in Mathematics in their program, in consultation with their advisors.
Note: Students must obtain approval from an adviser in each of the two departments before selecting electives. Students should take MATH V 2010 Linear Algebra in the second semester of the second year. With the approval of their adviser, students may replace the two requirements STAT W 3000 or SIEO W 4105 and STAT W 3659/4107 with the 6-point course STAT W 4109.
For a major in Mathematics-Computer Science:
15 courses as follows:
Courses in mathematics:
V 1101, V 1102, V 1201, V 1202 |
Calculus I, II, III, IV (including AP Credit) |
or V 1207, V 1208 |
Honors Math A-B (Note A) |
V 2010 |
Linear Algebra |
V 3020* |
Number Theory and Cryptography (Note B) |
W 4041 |
Introduction to Modern Algebra |
W 4061* |
Introduction to Modern Analysis (Note C) |
V 3951 or V 3952 |
Undergraduate Seminars in Mathematics |
Courses in computer science:
W 1004 |
Computer Science I (or AP credit) |
W 1007 |
Computer Science II |
W 3137 |
Data Structures and Algorithms |
W 3157 |
Computer Science III (Advanced Programming) |
W 3203 |
Discrete Mathematics |
W 3261 |
Computability and Models of Computation |
W 3827 |
Fundamentals of Computer Systems |
W 4231* |
Analysis of Algorithms I |
W 4241* |
Numerical Algorithms and Complexity I |
*Electives--take two of four; in exceptional cases, other courses may be substituted with the approval of departmental representatives of both departments.
Note A: The Honors sequence also fulfills the MATH V 2010 Linear Algebra requirement.
Note B: May substitute MATH V 3021 or BC 2006 or MATH V 1103.
Note C: May substitute MATH V 2500, V 3007, V 4032, V 3386, or W 4051.
Students seeking to pursue a Ph.D. program in either discipline are urged to take additional courses, in consultation with their advisers.
For a major in Economics and Mathematics, see the catalogue.
REQUIREMENTS FOR THE MINOR
For a minor in Mathematics or Applied Mathematics: Six courses from any of the courses offered by the department except Math W 1003 College Algebra and Analytic Geometry, Math V 1101/2 Calculus I/II.