- Faculty
- Field Description
- The Majors and Courses
- The Minor and Courses
- Courses
- Department of Mathematics Web Site
Chair: Warren B. Gordon
University Distinguished Professor:
- Arthur Apter
Presidential Professor:
- Jim Gatheral
Professors:
- Warren B. Gordon
- Miriam Hausman
- Bruce Jordan
- Laurence Kirby
- Elena Kosygina
- Andrew Lesniewski
- Anita Mayo
- Rados Radoicic
- Alvany Rocha
- Aaron Todd
- Tai-Ho Wang
Associate Professors:
- Louis-Pierre Arguin
- C. Douglas Howard
- Jakob Reich
- Dan Stefanica
- Ingrid-Mona Zamfirescu
Assistant Professors:
- Michael J. Carlisle
- Feng Chen
- Peter Gregory
- Ivan Matic
- Anja Richter
- Adam Sheffer
- Giulio Trigila
Lecturers:
- April Allen-Materowski
- Evan Fink
- Sarah Harney
- Jarrod Pickens
- Timothy Ridenour
- Ryan Ronan
- Elizabeth Stepp
Mathematics has been described as the queen of all sciences. Understanding mathematics enables one to explain and analyze not only science and nature but almost all disciplines from archeology to zoology. Most recently, mathematics has become an indispensable tool in finance and other business related areas. To ensure that mathematics is available for students with varied backgrounds and different professional goals, the department offers courses at all levels. Advanced courses are designed to be taken by mathematics and actuarial science majors and those in related fields.
Mathematics
The major in mathematics is designed to enable the student to enter the marketplace (industrial or educational) or to pursue further studies in mathematics or allied fields at the graduate level. Interested students are urged to contact the Department of Mathematics as early as possible. The student will be assigned an advisor who will aid in formulating an appropriate course of study. Students who want to teach mathematics in the secondary schools should consult an advisor in the Center for Advisement and Orientation.
Required CoursesAll students must take the following three courses: | ||
Algorithms, Computers and Programming I | 3 credits | |
MTH 4010 | Advanced Calculus I effective spring 2018: course title changes to Mathematical Analysis I | 3 credits |
Linear Algebra and Matrix Methods | 3 credits | |
and may take the following course, depending on the trajectory of their academic career. | ||
MTH 4009 | Proof Writing for Advanced Calculus * | 1 credit |
* MTH 4009 Proof Writing for Advanced Calculus is designed for students who want additional exposure to proof writing before enrolling in MTH 4010. It may be used in the mathematics major only if completed as a prerequisite for MTH 4010, and it is not open to students who have credit for one of the following courses: MTH 4000; MTH 4010; MTH 4200; MTH 4210; MTH 4215; MTH 4220; MTH 4240; or MTH 4315. Please consult a faculty advisor in the Department of Mathematics before enrolling in this course. | ||
Students may fulfill their calculus requirements by any one of the following three alternate calculus tracks: Track I: | ||
Calculus I | 4 credits | |
Calculus II | 4 credits | |
Intermediate Calculus | 4 credits | |
or | ||
MTH 3050 | Multi-Variable and Vector Calculus | 4 credits |
or Track II: | ||
Analytic Geometry and Calculus I | 5 credits | |
Analytic Geometry and Calculus II | 5 credits | |
or Track III: | ||
Applied Calculus | 3 credits | |
or | ||
Applied Calculus and Matrix Applications | 4 credits | |
Integral Calculus | 4 credits | |
Analytic Geometry and Calculus II | 5 credits | |
ElectivesAny four 4000-level or 5000-level courses from the following group: | ||
MTH 4030 | Topology | 3 credits |
MTH 4020 | Advanced Calculus II | 3 credits |
Ordinary Differential Equations | 3 credits | |
Introduction to Probability | 4 credits | |
MTH 4115 | Numerical Methods for Differential Equations in Finance | 4 credits |
Introduction to Stochastic Process | 4 credits | |
Mathematics of Statistics | 4 credits | |
Computational Methods in Probability | 3 credits | |
Graph Theory | 3 credits | |
Mathematical Modeling * | 3 credits | |
Combinatorics | 3 credits | |
Theory of Numbers | 3 credits | |
Elements of Modern Algebra | 3 credits | |
History of Mathematics | 3 credits | |
Differential Geometry * | 3 credits | |
Algorithms, Computers and Programming II * | 3 credits | |
Methods of Numerical Analysis | 3 credits | |
Introduction to Mathematical Logic | 3 credits | |
Fundamental Algorithms | 3 credits | |
Introductory Financial Mathematics | 4 credits | |
Advanced Calculus III * | 3 credits | |
Theory of Functions of a Complex Variable* | 3 credits | |
Theory of Functions of Real Variables* | 3 credits | |
Partial Differential Equations and Boundary Value Problems* | 4 credits | |
MTH 5500 | Stochastic Calculus for Finance | 4 credits |
* These courses are offered infrequently, subject to student demand. |
Actuarial Science
The field of actuarial science applies mathematical principles and techniques to problems in the insurance industry. Progress in the field is generally based upon completion of examinations given by the Society of Actuaries. The Baruch College major is designed to prepare students to pass the P, FM, MFE, MLC and C exams offered by the Society of Actuaries. Students interested in this highly structured program are urged to contact the Department of Mathematics as early as possible so that the department may assign an advisor to aid in formulating an appropriate course of study.
Math Program PrerequisitesBased on placement follow one of the following preliminary calculus options below: | ||
Option 1: | ||
Calculus I | 4 credits | |
Calculus II | 4 credits | |
or | ||
Option 2: | ||
Applied Calculus | 3 credits | |
Integral Calculus | 4 credits | |
or | ||
Option 3: | ||
Applied Calculus | 3 credits | |
Integral Calculus | 4 credits | |
or | ||
Option 4: | ||
MTH 3006 | Integral Calculus | 4 credits |
or | ||
MTH 3010 | Calculus II | 4 credits |
or | ||
Option 5: * | ||
MTH 3006 | Integral Calculus | 4 credits |
and | ||
MTH 3007 | Infinite Series | 1 credit |
And complete one of the following courses: | ||
MTH 3020 | Intermediate Calculus | 4 credits |
or | ||
MTH 3030 | Analytic Geometry and Calculus II | 5 credits |
or | ||
MTH 3050 | Multi-Variable and Vector Calculus | 4 credits |
Business Program Prerequisites | ||
ACC 2101 | Principles of Accounting | |
BUS 1000 | Introduction to Business ** | 3 credits |
or | ||
BUS 1011 | Business Fundamentals: The Contemporary Business Landscape ** | 3 credits |
CIS 2200 | Introduction to Information Systems and Technologies ** | 3 credits |
ECO 1001 | Micro-Economics | 3 credits |
ECO 1002 | Macro-Economics | 3 credits |
STA 2000 | Business Statistics ** | 3 credits |
NOTES: * Students who completed Option 5 (both MTH 3006 and MTH 3007) may register for MTH 3020 or MTH 3050. ** Students who have completed MTH 4120 Introduction to Probability, may be waived from BUS 1000/1011, CIS 2200, and STA 2000. Please consult the Weissman Office of the Associate Dean (WSAS.AssocDean@baruch.cuny.edu; 646-312-3890; NVC 8-265) to request registration permission. | ||
Required Courses | ||
Algorithms, Computers, and Programming I | 3 credits | |
Introduction to Probability *** | 4 credits | |
Theory of Interest | 4 credits | |
Mathematical Finance | 4 credits | |
Principles of Finance | 3 credits | |
Corporate Finance | 3 credits | |
*** Students who have completed MTH 3120 cannot enroll in MTH 4120. They must satisfy the probability requirement by registering for MTH 4119 as an independent study (please consult the Department of Mathematics). | ||
ElectivesIn addition, one course must be chosen from the following list of electives: | ||
MTH 4115 | Numerical Methods for Differential Equations in Finance | 4 credits |
Introduction to Stochastic Processes | 4 credits | |
Mathematics of Statistics | 4 credits | |
Computational Methods in Probability | 3 credits | |
Actuarial Mathematics | 4 credits | |
Actuarial Mathematics II | 4 credits | |
Short-Term Insurance Mathematics (formerly Risk Theory) | 4 credits | |
MTH 5500 | Stochastic Calculus for Finance | 4 credits |
The following courses are recommended, but not required. They are not applicable toward the major. ECO 3200 Intermediate Macro-Economics |
Financial Mathematics
This major is first and foremost a course of study in mathematics, with a focus on the computational tools and techniques needed to thrive in the financial engineering industry. In today’s specialized world, a sophisticated level of mathematical understanding is an essential competitive edge. As this program includes courses in Economics and Finance, students who would usually not consider a traditional mathematics major will find this program especially attractive. Interested students are urged to contact the Department of Mathematics as early as possible. The student will be assigned an advisor who will aid in formulating an appropriate course of study.
NOTE: Depending on a student's starting mathematics proficiency, this program may require more than 120 credits to complete. | ||
Mathematics Program Prerequisites: | ||
As a preliminary requirement, students must complete the calculus requirement, which may be achieved by any one of the following six methods: | ||
Option 1: | ||
Calculus AP Exam (BC) with a score of 4 or 5 (transfers to Baruch as MTH 2610 and MTH 3010) | 8 credits | |
Multi-Variable and Vector Calculus | 4 credits | |
or | ||
Option 2: | ||
| Calculus AP exam (AB) with a score of 4 or 5 (transfers to Baruch as
MTH 2610) | 4 credits |
MTH 3010 | Calculus II | 4 credits |
MTH 3050 | Multi-Variable and Vector Calculus | 4 credits |
or | ||
Option 3: | ||
MTH 2610 | Calculus I | 4 credits |
MTH 3010 | Calculus II | 4 credits |
MTH 3050 | Multi-Variable and Vector Calculus | 4 credits |
or | ||
Option 4: | ||
Applied Calculus | 3 credits | |
or | ||
MTH 2207 | Applied Calculus and Matrix Applications | 4 credits |
and the following three courses: | ||
MTH 3006 | Integral Calculus | 4 credits |
MTH 3030 | Analytic Geometry and Calculus II | 5 credits |
MTH 3035 | Vector Calculus * | 1 credit |
or | ||
Option 5: | ||
MTH 2205/ MTH 2206 | Applied Calculus | 3 credits |
MTH 2207 | Applied Calculus and Matrix Applications | 4 credits |
and the following three courses: | ||
MTH 3006 | Integral Calculus | 4 credits |
MTH 3007 | Infinite Series | 1 credit |
MTH 3050 | Multi-Variable and Vector Calculus * | 4 credits |
or | ||
Option 6: | ||
MTH 2630 | Analytic Geometry and Calculus I | 5 credits |
MTH 3030 | Analytic Geometry and Calculus II | 5 credits |
MTH 3035 | Vector Calculus * | 1 credit |
Each option also requires: | ||
MTH 4000 * | Bridge to Higher Mathematics | 4 credits |
* NOTES:
| ||
Business Program Prerequisites: | ||
Principles of Accounting | 3 credits | |
Micro-Economics | 3 credits | |
ECO 1002 | Macro-Economics | 3 credits |
BSFM students are waived from the following FIN 3000 course prerequisites: BUS 1000/1011; CIS 2200; and STA 2000. Please consult the Weissman Office of the Associate Dean (WSAS.AssocDean@baruch.cuny.edu; 646-312-3890; NVC 8-265) to request registration permission. | ||
Required Finance Courses: | ||
FIN 3000 | Principles of Finance | 3 credits |
FIN 3610 | Corporate Finance | 3 credits |
Required Upper-level Mathematics Courses: | ||
MTH 3300 | Algorithms, Computers, and Programming I | 3 credits |
MTH 4100 | Linear Algebra | 3 credits |
MTH 4115 | Numerical Methods for Differential Equations | 4 credits |
Introduction to Probability * | 4 credits | |
Introduction to Stochastic Processes | 4 credits | |
Mathematics of Statistics | 4 credits | |
Algorithms, Computers, and Programming II | 3 credits | |
Introductory Financial Mathematics | 4 credits | |
MTH 4600 | Data Analysis and Simulation for Financial Engineers | 4 credits |
Stochastic Calculus for Finance | 3 credits |
* Students who have completed
MTH 3120 cannot enroll in MTH 4120. They must satisfy the probability requirement by registering for
MTH 4119 as an independent study (please consult the Department of Mathematics). |
The Minor
The minor in mathematics provides students with a background in the various theories and uses of mathematics. The minor requires the completion of MTH 3006 or MTH 3010 and any other 3- or 4-credit mathematics course numbered 3000 or higher, with the exceptions of MTH 3007 and MTH 4009 (which are not applicable toward the minor). Students must then complete a capstone course consisting of any mathematics course at the 4000-level or higher with the exceptions of MTH 4410 (which may not be used as a capstone course).
Courses in Mathematics (MTH)
College Algebra | 4 hours; 2 credits | |
Pre-calculus and Elements of Calculus | 4 hours; 3 credits | |
Mathematics Appreciation | 3 hours; 3 credits | |
Mathematics and Quantitative Reasoning | 4 hours; 3 credits | |
Ideas in Mathematics and Their Applications | 4 hours; 3 credits | |
Applied Calculus | 4 hours; 3 credits | |
Applied Calculus | 3 hours; 3 credits | |
Applied Calculus and Matrix Applications | 4 hours; 4 credits | |
Concepts of Discrete Mathematics | 3 hours; 3 credits | |
Calculus I | 4 hours; 4 credits | |
Analytic Geometry and Calculus I | 5 hours; 5 credits | |
Integral Calculus | 4 hours; 4 credits | |
MTH 3007 | Infinite Series | 1 hour; 1 credit |
Elementary Calculus II | 4 hours; 4 credits | |
Intermediate Calculus | 4 hours; 4 credits | |
Analytic Geometry and Calculus II | 5 hours; 5 credits | |
MTH 3035 | Vector Calculus | 1 hour; 1 credit |
Actuarial Science Theory and Problem Seminar | 2 hours; 2 credits | |
MTH 3050 | Multi-Variable and Vector Calculus | 4 hours; 4 credits |
Selected Topics in Discrete Mathematics | 3 hours; 3 credits | |
Elementary Probability | 3 hours; 3 credits | |
"Algorithms, Computers, and Programming I" | 4 hours; 3 credits | |
Actuarial Science Internship | 1 hour; 1 credit | |
Actuarial Science Internship | 1 hour; 1 credit | |
Actuarial Science Internship | 1 hour; 1 credit | |
Actuarial Science Internship | 1 hour; 1 credit | |
Math Internship | 1 hour; 1 credit | |
Math Internship | 1 hour; 1 credit | |
Math Internship | 1 hour; 1 credit | |
Math Internship | 1 hour; 1 credit | |
MTH 3909 | Financial Mathematics Internship | 1 hour; 1credit |
MTH 3910 | Financial Mathematics Internship | 1 hour; 1credit |
MTH 3911 | Financial Mathematics Internship | 1 hour; 1credit |
MTH 3912 | Financial Mathematics Internship | 1 hour; 1credit |
MTH 4000 | Bridge to Higher Mathematics | 4 hours; 3 credits |
Problem-Solving Seminar | 3 hours; 3 credits | |
MTH 4009 | Proof Writing for Advanced Calculus | 1 hour; 1 credit |
Advanced Calculus I effective spring 2018: course title changes to Mathematical Analysis I | 3 hours; 3 credits | |
Advanced Calculus II | 3 hours; 3 credits | |
Topology | 3 hours; 3 credits | |
Linear Algebra and Matrix Methods | 3 hours; 3 credits | |
Ordinary Differential Equations | 3 hours; 3 credits | |
MTH 4115 | Numerical Methods for Differential Equations in Finance | 4 hours; 4 credits |
MTH 4119 | Multivariate Probability Distributions | 1 hour; 1 credit |
Introduction to Probability | 4 hours; 4 credits | |
Introduction to Stochastic Processes | 4 hours; 4 credits | |
Mathematics of Statistics | 4 hours; 4 credits | |
Computational Methods in Probability | 4 hours; 3 credits | |
Graph Theory | 3 hours; 3 credits | |
Mathematical Modeling | 3 hours; 3 credits | |
Combinatorics | 3 hours; 3 credits | |
Theory of Numbers | 3 hours; 3 credits | |
Elements of Modern Algebra | 3 hours; 3 credits | |
"Finite Fields, Algebraic Curves, and Applications" | 3 hours; 3 credits | |
History of Mathematics | 4 hours; 4 credits | |
Differential Geometry | 3 hours; 3 credits | |
"Algorithms, Computers, and Programming II" | 4 hours; 3 credits | |
Methods of Numerical Analysis | 3 hours; 3 credits | |
Introduction to Mathematical Logic | 4 hours; 3 credits | |
Fundamental Algorithms | 4 hours; 3 credits | |
Switching Theory | 3 hours; 3 credits | |
Special Topics in Computer Science | 3 hours; 3 credits | |
Finite Differences | 4 hours; 4 credits | |
Theory of Interest | 4 hours; 4 credits | |
Actuarial Mathematics | 4 hours; 4 credits | |
Actuarial Mathematics II | 4 hours; 4 credits | |
Short-Term Insurance Mathematics (formerly Risk Theory) | 4 hours; 4 credits | |
Introductory Financial Mathematics | 4 hours; 4 credits | |
MTH 4600 | Data Analysis and Simulation for Financial Engineers | 4 hours; 4 credits |
Independent Study I | Hours and credits to be arranged | |
Independent Study II | Hours and credits to be arranged | |
Independent Study III | Hours and credits to be arranged | |
Independent Study IV | Hours and credits to be arranged | |
Independent Study V | Hours and credits to be arranged | |
Advanced Calculus III | 3 hours; 3 credits | |
Theory of Functions of a Complex Variable | 3 hours; 3 credits | |
Theory of Functional of Real Variables | 3 hours; 3 credits | |
Partial Differential Equations and Boundary Value Problems | 4 hours; 4 credits | |
MTH 5500 | Stochastic Calculus for Finance | 4 hours; 4 credits |
Honors in Mathematics I | Hours and credits to be arranged | |
Honors in Mathematics II | Hours and credits to be arranged | |
Honors in Mathematics III | Hours and credits to be arranged |