# Major and Minor Requirements

If you have any questions regarding the math major or minor requirements, please contact the Program Administrator, Dana Jaggi, at djaggi@cims.nyu.edu or the Manager of Academic Affairs, Beth Markowitz, at beth@cims.nyu.edu.

**MAJORS**

- Major in Mathematics
- Joint Major in Mathematics and Computer Science
- Joint Major in Mathematics and Economics
- Dual-Degree Program in Engineering

**MINORS**

- Mathematics Minor
- Joint Mathematics and Computer Science Minor
- Advanced Mathematical Methods Minor
- Mathematics Education Minor for Math Majors

**OTHER**

### MAJOR IN MATHEMATICS

**REQUIREMENTS FOR STUDENTS WHO ENROLLED IN CAS FALL 2019 OR LATER**

Major Checklist (Math) (Fall 2019 Onward) 100.8 KB

The requirements for the mathematics major are thirteen courses numbered MATH-UA 120 or higher. The only exceptions are MATH-UA 211, 212, and 213 Math for Economics I, II and III which are not open to anyone who has taken Calculus and are for Economics Majors. The courses must include:

**Introductory Course Requirement**

- MATH-UA 120 Discrete Mathematics
- MATH-UA 121 Calculus I
- MATH-UA 122 Calculus II
- MATH-UA 123 Calculus III
- MATH-UA 140 Linear Algebra
- Calculus III and Linear Algebra can each be substituted by their more intensive counterpart:

**NOTE:** *Students who have taken Math for Economics for an Economics major or intended major can use the MATH-UA 211, 212, and 213 Math for Economics I - III sequence towards the math major requirements instead of MATH-UA 121, 122 and 123 Calculus I - III sequence. You will have to get this approved by the Math Department. All other students must use the Calculus sequence. If you have any questions regarding this requirement please contact the Math Department.*

**Analysis and Algebra Requirement**

Either of these courses can be substituted by its more intensive counterpart:

*It is strongly suggested for students to take MATH-UA 325 Analysis before enrolling in MATH-UA 343 Algebra.*

**Advanced Electives Requirement**

- The rest of the 13 required courses must include at least three of the following:
- MATH-UA 233 Theory of Probability
**or**MATH-UA 238 Honors Theory of Probability - MATH-UA 234 Mathematical Statistics
- MATH-UA 252 Numerical Analysis
- MATH-UA 253 Linear and Nonlinear Optimization
- MATH-UA 263 Partial Differential Equations
- MATH-UA 282 Functions of a Complex Variable
- MATH-UA 329 Honors Analysis II
- MATH-UA 349 Honors Algebra II
- MATH-UA 377 Differential Geometry
- MATH-UA 393 Honors I
- MATH-UA 394 Honors II
- MATH-UA 397 Honors III
- MATH-UA 398 Honors IV

- MATH-UA 233 Theory of Probability

**Additional Guidelines**

In addition to the above requirements, the following guidelines must be observed:

- Any two computer science courses (numbered CSCI-UA 101 or higher, except CSCI-UA 380), DS-UA 112, or graduate data science DS-GA courses may be credited toward the 13 course requirement as electives. However, no more than 2 non-math classes may fulfill the major requirements.
- Students enrolled in and who complete 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 (PHYS-UA 11 and 12) or Physics I, II (PHYS-UA 91 and 93) toward their 13 course requirement. However, if these physics courses are used towards the mathematics major, the computer sciences or data science courses will not apply towards the major.
- Students may double-count no more than two courses towards both the Mathematics Major and the requirements of another major or minor.
- Students may petition to enroll in graduate mathematics courses and apply them to the undergraduate major. Usually, permission to enroll is not granted until the student has completed MATH-UA 325 Analysis and the available undergraduate courses on the same topic. Please see the Enrollment in Graduate Courses webpage for more detailed information.
- 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.

**REQUIREMENTS FOR STUDENTS WHO ENROLLED IN CAS FALL 2014 - SUMMER 2019**

Major Checklist (Math) (Fall 2014 - Summer 2019) 32.2 KB

The requirements for the mathematics major are thirteen courses numbered MATH-UA 120 or higher. The only exceptions are MATH-UA 211, 212, and 213 Math for Economics I, II and III which are not open to anyone who has taken Calculus and are for Economics Majors. The courses must include:

**Introductory Course Requirement**

- MATH-UA 121 Calculus I
- MATH-UA 122 Calculus II
- MATH-UA 123 Calculus III
- MATH-UA 140 Linear Algebra
- Calculus III and Linear Algebra can each be substituted by their more intensive counterpart:

**NOTE:** *Students who have taken Math for Economics for an Economics major or intended major can use the MATH-UA 211, 212, and 213 Math for Economics I - III sequence towards the math major requirements instead of MATH-UA 121, 122 and 123 Calculus I - III sequence. You will have to get this approved by the Math Department. All other students must use the Calculus sequence. If you have any questions regarding this requirement please contact the Math Department.*

**Analysis and Algebra Requirement**

Either of these courses can be substituted by its more intensive counterpart:

*It is strongly suggested for students to take MATH-UA 325 Analysis before enrolling in MATH-UA 343 Algebra.*

**Advanced Electives Requirement**

- The rest of the 13 required courses must include at least three of the following:
- MATH-UA 233 Theory of Probability
**or**MATH-UA 238 Honors Theory of Probability - MATH-UA 234 Mathematical Statistics
- MATH-UA 252 Numerical Analysis
- MATH-UA 253 Linear and Nonlinear Optimization
- MATH-UA 263 Partial Differential Equations
- MATH-UA 282 Functions of a Complex Variable
- MATH-UA 329 Honors Analysis II
- MATH-UA 349 Honors Algebra II
- MATH-UA 377 Differential Geometry
- MATH-UA 393 Honors I
- MATH-UA 394 Honors II
- MATH-UA 397 Honors III
- MATH-UA 398 Honors IV

- MATH-UA 233 Theory of Probability

**Additional Guidelines**

In addition to the above requirements, the following guidelines must be observed:

- Any two computer science courses (numbered CSCI-UA 101 or higher, except CSCI-UA 380), DS-UA 112, or graduate data science DS-GA courses may be credited toward the 13 course requirement as electives. However, no more than 2 non-math classes may fulfill the major requirements.
- Students enrolled in and who complete 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 (PHYS-UA 11 and 12) or Physics I, II (PHYS-UA 91 and 93) toward their 13 course requirement. However, if these physics courses are used towards the mathematics major, the computer sciences or data science courses will not apply towards the major.
- Students may double-count no more than two courses towards both the Mathematics Major and the requirements of another major or minor.
- Students may petition to enroll in graduate mathematics courses and apply them to the undergraduate major. Usually, permission to enroll is not granted until the student has completed MATH-UA 325 Analysis and the available undergraduate courses on the same topic. Please see the Enrollment in Graduate Courses webpage for more detailed information.
- 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.

### JOINT MAJOR IN MATHEMATICS AND COMPUTER SCIENCE

**REQUIREMENTS FOR STUDENTS WHO ENROLLED IN CAS FALL 2014 OR LATER**

Major Checklist (Joint Math/CS) (Fall 2014 and onward) 35.2 KB

An interdisciplinary major offered jointly by the Department of Mathematics and Computer Science, providing the opportunity to study both computer science and such relevant mathematics courses as analysis, algebra, probability, and statistics. Students must complete one CSCI-UA course with a recorded grade of C or better before they can declare this joint major (this policy applies to all NYU students, not just to those matriculated in CAS). The requirements include Mathematics and Computer Science components as follows.

**Mathematics Requirements**

Ten courses numbered MATH-UA 120 or higher, except MATH-UA 211, 212 or 213 from the Mathematics Department, which must include:

- MATH-UA 120 Discrete Math
- MATH-UA 121 Calculus I
- MATH-UA 122 Calculus II
- MATH-UA 123 Calculus III
**or**MATH-UA 129 Honors Calculus III - MATH-UA 140 Linear Algebra
**or**MATH-UA 148 Honors Linear Algebra - MATH-UA 325 Analysis
**or**MATH-UA 328 Honors Analysis I - MATH-UA 343 Algebra
**or**MATH-UA 348 Honors Algebra I - The rest of the 10 required courses must include two of the following:
- MATH-UA 233 Theory of Probability
**or**MATH-UA 238 Honors Theory of Probability - MATH-UA 234 Mathematical Statistics
- MATH-UA 251 Mathematical Modeling
- MATH-UA 252 Numerical Analysis
- MATH-UA 253 Linear and Nonlinear Optimization
- MATH-UA 263 Partial Differential Equations
- MATH-UA 282 Functions of a Complex Variable
- MATH-UA 329 Honors Analysis II
- MATH-UA 349 Honors Algebra II
- MATH-UA 377 Differential Geometry

- MATH-UA 233 Theory of Probability

**Computer Science Requirements**

Eight computer science courses as required for the major in that department, which must include:

- CSCI-UA 101 Introduction to Computer Science
- CSCI-UA 102 Data Structures
- CSCI-UA 201 Computer Systems Organization
- CSCI-UA 202 Operating Systems
- CSCI-UA 310 Basic Algorithms
- CSCI-UA 421 Numerical Computing
- CSCI-UA 4xx Advanced CS Elective
- CSCI-UA 4xx Advanced CS Elective

Please refer to the undergraduate computer science website for information on computer science courses.

**Additional Guidelines**

In addition to the above requirements, the following guidelines must be observed:

- Students may double-count no more than two courses towards both the Joint Major in Mathematics and Computer Science and the requirements of another major or minor.
- Courses taken under the pass/fail option are not counted toward the major.
- A grade of C or better is required in all these courses to fulfill the major requirement.

### JOINT MAJOR IN MATHEMATICS AND ECONOMICS

**REQUIREMENTS FOR STUDENTS WHO ENROLLED IN CAS FALL 2014 OR LATER**

Major Checklist (Joint Math/Econ) (Fall 2014 onward) 38.6 KB

**Mathematics Requirements**

**EITHER,**the following three courses:**OR,**the following three courses (preferred):- MATH-UA 140 Linear Algebra
**or**MATH-UA 148 Honors Linear Algebra - MATH-UA 325 Analysis
**or**MATH-UA 328 Honors Analysis I - Four chosen courses from:
- MATH-UA 233 Theory of Probability
**or**MATH-UA 238 Honors Theory of Probability - MATH-UA 234 Mathematical Statistics
- MATH-UA 235 Probability & Statistics
- MATH-UA 240 Combinatorics
- MATH-UA 248 Theory of Numbers
- MATH-UA 250 Mathematics of Finance
- MATH-UA 251 Mathematical Modeling
- MATH-UA 252 Numerical Analysis
- MATH-UA 253 Linear and Nonlinear Optimization
- MATH-UA 262 Ordinary Differential Equations
- MATH-UA 263 Partial Differential Equations
- MATH-UA 264 Chaos & Dynamical Systems
- MATH-UA 282 Function of Complex Variables
- MATH-UA 329 Honors Analysis II
- MATH-UA 343 Algebra
**or**MATH-UA 348 Honors Algebra I

- MATH-UA 233 Theory of Probability

**Economics Requirements**

Nine economics courses as required for the major in that department, which must include:

- ECON-UA 1 Introduction to Macroeconomics
- ECON-UA 2 Introduction to Microeconomics
- ECON-UA 11 Microeconomic Analysis
- ECON-UA 13 Macroeconomic Analysis
- ECON-UA 20 Analytical Statistics
*(if not taking MATH-UA 234 Mathematical Statistics)* - ECON-UA 266 Introduction to Econometrics
- Plus any three economics elective courses, at least two of which must be theory electives numbered ECON-UA 300-399.
*Note that students who take MATH-UA 234 instead of ECON-UA 20 for the statistics requirement must take a total of four ECON-UA electives.*

Please refer to the undergraduate economics website for information on economics courses.

**Additional Guidelines**

In addition to the above requirements, the following guidelines must be observed:

- The Math for Economics sequence is the preferred sequence for this major, although we will accept either Math for Economics or Calculus.
- Students may double-count no more than two courses towards both the Joint Major in Mathematics and Economics and the requirements of another major or minor.
- Courses taken under the pass/fail option are not counted toward the major.
- A grade of C or better is required in all these courses to fulfill the major requirement.

### MATHEMATICS MINOR

The requirements for a mathematics minor are four 4-credit courses in the department numbered MATH-UA 120 or higher. Of these four courses MATH-UA 211, 212 or 213 may not be used if you have taken Calculus. Although courses transferred from other colleges may count towards the minor, at least two courses for the minor must be taken at NYU. Students pursuing majors that require mathematics courses may follow this minor, as long as two of the four courses do not apply simultaneously to the requirements for their major.

**Additional Guidelines**

In addition to the above requirements, the following guidelines must be observed:

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

Tandon students should complete the Mathematics Minor offered by the Tandon School of Engineering. Please contact Alison Entin, entin@cims.nyu.edu, for information on the Tandon Mathematics Minor.

### JOINT MATHEMATICS AND COMPUTER SCIENCE MINOR

The requirements are the following four courses:

- MATH-UA 121 Calculus I
- MATH-UA 122 Calculus II
- CSCI-UA 101 Introduction to Computer Science
- CSCI-UA 102 Data Structures

**Additional Guidelines**

In addition to the above requirements, the following guidelines must be observed:

- Students must complete one CSCI-UA course with a recorded grade of C or better before they can declare this joint minor (this policy applies to all NYU students, not just to those matriculated in CAS).
- Students who wish to double-count courses for the minor and another requirement may count at most two such courses toward the minor.
- At most one mathematics course in the joint 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 to count toward the minor.

### ADVANCED MATHEMATICAL METHODS MINOR

The Advanced Mathematical Methods Minor (for Stern undergraduates only) provides students with mathematical tools to handle complex business problems. The requirements consist of four distinct components:

- MATH-UA 140 Linear Algebra, or equivalent
- STAT-UB 14 Introduction to the Theory of Probability
- MATH-UA 252 Numerical Analysis
**or**MATH-GA 2010 Numerical Methods I **ONE**course from the advanced course list below:- MATH-UA 262 Ordinary Differential Equations
- MATH-UA 263 Partial Differential Equations
- MATH-UA 325 Analysis
- STAT-UB 15 Statistical Inference and Regression Analysis
- STAT-UB 21 Introduction to Stochastic Processes

**NOTE:** All students must take at least one Stern course in order to meet minor requirements. If a student has completed the CAS version of Probability, STAT-UB 14 should not be taken. Instead, please select one of the following:

- STAT-UB 15 Statistical Inference and Regression Analysis
- STAT-UB 21 Introduction to Stochastic Processes
- Students who have the equivalent of MATH-UA 140 should substitute a more advanced course from the list above.

### MATHEMATICS EDUCATION MINOR FOR MATH MAJORS

The Mathematics Education Minor (for Mathematics Majors) enables you to complete course work as an undergraduate in CAS that will reduce the number of credits required of a Steinhardt School of Education M.A. degree in Teachers of Mathematics, Grades 7-12 that will fulfill the requirements for Initial teacher certification. The master's degree will require 30 credits including student teaching internships beyond the bachelor's degree.

Ideally you would want to declare the minor and begin taking these courses during your first semester of junior year. Please be advised that most of these courses require a field work component consisting of classroom observation and participation. For course descriptions, please see the Steinhardt School of Education's current Undergraduate Bulletin.