CAS MATHEMATICS REQUIREMENT

Students entering the College ofArts and Science who are not majoring in mathematics, computer science, or any of the physical sciences are required to take one of the following Morse Academic Plan (MAP) courses: Quantitative Reasoning, V55.010X. They can also take Calculus for the Social Sciences, V63.0017; or an appropriate calculus course numbered V63.0121 or above, with the permission of the department. Qualified students may also take a special exemption examination given by the Morse Academic Plan (MAP) office –100 Washington Square East, Room 903,New York,New York10003, 212-998-8119.

CALCULUS PLACEMENT

Students with a precalculus or a high school calculus course with a grade of B or better and SAT math score of 750 can enter Calculus I, V63.0121. Students who did not receive a grade of B or better in precalculus or calculus are advised to take Precalculus, V63.0009. Students with four years of high school mathematics with a grade of A in calculus and SAT math score of 780 may enter Honor Calculus, V63.0221. Those who need additional mathematical preparation are required to take Precalculus, V63.0009.

ADVANCED PLACEMENT WITH CREDIT

Freshmen seeking advanced placement in mathematics may take the AB or BC Advanced Placement Examination in Mathematics given by the College Entrance Examination Board. A student who receives a grade of 4 or better on the AB test in calculus is placed into Calculus II, V63.0122, and receives 4 points of college credit in lieu of Calculus I, V63.0121. A student who receives a grade of 4 or better on the BC test in calculus is placed into Calculus III, V63.0123, and receives 8 points of college credit in lieu of V63.0121and V63.0122.

ADVANCED PLACEMENT WITHOUT CREDIT

The department also gives advanced placement exams periodically for those students who know the material in V63.0121 and/or V63.0122 and who wish to proceed with V63.0122 or V63.0123. If a student passes either of these exams, he or she is placed into the next course of the sequence; no college credit is given for the courses that are skipped.

DEPARTMENTAL ADVISEMENT

All mathematics majors are required to see an undergraduate adviser to review their course of study and to be advised on the appropriate courses each term. Students should inquire at the department office, 251Warren Weaver Hall,251 Mercer Street, Room 703 or 724, 212-998-3005, to make an appointment.

Degree Requirements

MATHEMATICS MAJOR

Present requirements: Twelve 4-point courses numbered V63.0120 or higher (with the exception of V63.0235) that must include both Analysis I (V63.0325) and Algebra I (V63.0343). The rest of the 12 required courses must include one of the following: Analysis II, V63.0326; Algebra II, V63.0344; or Vector Analysis, V63.0224. The sequence Honor Calculus I and II, V63.0221, 0222, is counted as three courses; it covers the same material as Calculus I, II, and III. Any two computer science courses numbered V22.0101 or higher may be credited toward the 12-course requirement. Students enrolled in the premedical or predental program and who wish to major in mathematics may substitute at most two math classes by any two of the following: General Physics I and II, V85.0011, 0012; Physics I, II, V85.0091, 0093; or any two computer science courses number V22.0101 or higher.

Courses taken under the pass/fail option are not counted toward the major. A grade of C or better is required in all courses used to fulfill the major requirement.

HONORS PROGRAM

The honors program is designed for students with a strong commitment to mathematics. It is recommended for those who intend to pursue graduate study in mathematics. Course requirements include Analysis I, II, V63.0325, 0326, and Algebra I, II, V63.0343, 0344, both usually taken during the junior year; and Honors: Complex Variables I, II, V63.0393, 0394, usually taken during the senior year. With departmental approval, completion of two approved graduate courses in mathematics may be accepted in place of Honors I, II. Potential honors students should register for Honor Calculus I, II, V63.0221, 0222. Students must also complete a senior “project” under individual faculty supervision. The requirements for admission into the honors program are (1) maintain a grade point average of 3.65 or higher in the major sequence (including Joint Honor requirements); (2) maintain a general grade point average of 3.65 or better; and (3) approval of the director of the honors program. For general requirements, please see under Honors and Awards.

JOINT MAJOR IN MATHEMATICS AND COMPUTER SCIENCES

This is an interdisciplinary major offered by the Department of Mathematics and the Department of Computer Sciences. The mathematics requirements are V63.0120, V63.0121, V63.0122, V63.0123, V63.0140, V63.0325, V63.0343, two mathematics courses listed at V63.0120 or higher, and a choice of V63.0224, V63.0326, or V63.0344. The computer science requirements are V22.0101, V22.0102, V22.0201, V22.0202, V22.0310, V22.0421, and two computer science courses listed at the V22.0400 level.

JOINT HONORS IN MATHEMATICS AND COMPUTER SCIENCES

This is an interdisciplinary major offered by the Department of Mathematics and the Department of Computer Sciences. The mathematics requirements are V63.0120, V63.0121, V63.0122, V63.0123, V63.0140, V63.0325, V63.0326, V63.0343, V63.344, V63.0393, V63.0394 (V63.0393 and V63.0394 may be substituted for two graduate classes with math faculty approval). The computer science requirements are V22.0101, V22.0102, V22.0201, V22.0202, V22.0310, V22.0421, V22.0453, and three computer science courses listed at the V22.0400 level. Four courses, numbered V22.0101 to V22.0499, must be completed with Honors credit, one of which must be V22.0300-level or above. Guided research, sponsored by either department should be presented at the Dean’s Undergraduate Research Conference, which takes place in late April. Students are expected to dedicate 10 to 20 hours per week toward their research.

JOINT MAJOR IN MATHEMATICS AND ECONOMICS

An interdisciplinary major is offered jointly by the Departments of Mathematics and Economics. It provides the opportunity to take courses in mathematics and in economics and computer science. The requirements are (1) Mathematics: nine 4-point courses numbered V63.0120 or higher that must include Analysis I, II (V63.0325, 0326). The computer science course Introduction to Computer Science I, V22.0101, may be credited toward the nine-course requirement. (2) Economics: V31.0005, V31.0006, V31.0011, V31.0013, V31.0020, V31.0266, plus any three economics elective courses, at least two of which must be theory electives numbered V31.0300 to 0399.

Interested students should consult with the director of undergraduate studies in each department for additional information.

JOINT B.S./B.E. PROGRAM WITH STEVENS INSTITUTE OF TECHNOLOGY

The department offers a joint B.S./B.E. program with Stevens Institute of Technology. Students in the program receive the B.S. degree in mathematics from New York University and the B.E. degree from Stevens Institute in either computer, electrical, or mechanical engineering. The joint math/engineering students must complete the 12-course math requirement. Students are allowed to take Differential Equation, MA221; and/or Complex Variables, MA234 at Stevens Institute, which are equivalent to V63.0262 and V63.0282, respectively. Students are also allowed to substitute Computer Science I, II, V22.0101, 0102, or Physics I and II, V85.0091, 0093 for a maximum of two math classes. Further information is available from Joseph Hemmes or Aara Menzi, the co-coordinators of the B.S./B.E. program, in the College Advising Center, Silver Center, 100 Washington Square East, Room 905, 212-998-3133.

JOINT B.A./M.S PROGRAM WITH NEW YORK UNIVERSITY GRADUATE SCHOOL OF ARTS AND SCIENCE

The College of Arts and Science (CAS) and the Graduate School of Arts and Science (GSAS) offers students the opportunity to earn both the bachelor’s degree and the master’s degree in a shorter period of time and at less cost than is normally the case. Qualifying students are accepted into the program toward the end of the sophomore year or during the junior year. In their remaining undergraduate semesters, they can then accelerate by taking some graduate courses during regular terms and/or during the summer. In the graduate portion of the program, they can qualify for a scholarship covering up to 50 percent of the tuition for the master’s degree.

General information about the program and applications are available in the College Advising Center, Room 905, 100 Washington Square East, New York, New York 10003. Students should discuss as early as possible with an adviser how the program might fit their longer-range plans.

MATHEMATICS MINOR

Requirements: Four 4-point courses in the department numbered V63.0120 or higher. Student in areas where mathematics courses are required as part of their major may satisfy the minor as long as two of the four courses do not apply simultaneously to the requirements for the major. At most two mathematics courses in the minor may be transferred from other colleges.

Courses taken under the pass/fail option are not counted toward the minor. A grade of C or better is required in all courses applying to the minor.

Advisers are available for consultation on minor requirements before and during registration. Students should consult an adviser if they have any doubt about which courses fulfill their requirements.

JOINT MATHEMATICS AND COMPUTER SCIENCE MINOR

The requirements are the four courses V63.0121, V63.0122, V22.0101, and V22.0102. A grade of C or better is required for the mathematics courses; see also under Computer Science (22) in this bulletin. At most one mathematics course in the joint minor may be transferred from other colleges.

Activities and Awards

Mathematics Club: An active club is open to all students interested in the study of mathematics. An organizational meeting is held shortly after classes begin in the fall to plan for the coming academic year. Activities include talks by faculty and guest speakers on a variety of topics including career opportunities.

William Lowell Putnam Competition: The Department of Mathematics participates in the annual William Lowell Putnam Competition, a mathematics contest open to all undergraduate mathematics students in the United States and Canada. Interested students should contact the department as early as possible in the school year—the contest takes place in early December.

 Awards: The department’s awards include the Sidney Roth Prize, the Hollis Cooley Memorial Prize, and the Perley Thorne Medal. Please see the descriptions under Honors and Awards in this bulletin.