- 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
- Carlos Julio Moreno
- Alvany Rocha
- Aaron Todd
- Tai-Ho Wang
Associate Professors:
- C. Douglas Howard
- Rados Radoicic
- Jakob Reich
- Beryl I. Shaw
- Dan Stefanica
- Sherman Wong
- Ingrid-Mona Zamfirescu
Assistant Professors:
- Louis-Pierre Arguin
- Michael J. Carlisle
- Feng Chen
- Peter Gregory
- Ivan Matic
- Anja Richter
Lecturers:
- April Allen-Materowski
- Judith Broadwin
- Evan Fink
- Sarah Harney
- Jarrod Pickens
- Timothy Ridenour
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
- Actuarial Science
- Financial Mathematics (NEW fall 2015)
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 | 3 credits |
Linear Algebra and Matrix Methods | 3 credits | |
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 II | 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. | ||
Mathematics of Finance Concentration: Students who wish to have a concentration in the Mathematics of Finance should choose the following five electives: | ||
Ordinary Differential Equations | 3 credits | |
Introduction to Probability * | 4 credits | |
Introduction to Stochastic Process | 4 credits | |
Computational Methods in Probability | 3 credits | |
Introductory Financial Mathematics | 4 credits | |
* Students who have completed MTH 3120 must register for MTH 4119 as an independent study (please consult the Department of Mathematics). | ||
In addition, students should take: | ||
Micro-Economics | 3 credits | |
Macro-Economics | 3 credits | |
Principles of Finance | 3 credits | |
Corporate Finance | 3 credits | |
or | ||
Investment Analysis | 3 credits |
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 first two exams of the Society of Actuaries year 2000 exam structure and to provide partial preparation for the third exam. 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.
Prerequisites | ||
Calculus I | 4 credits | |
Calculus II | 4 credits | |
or | ||
Applied Calculus II | 3 credits | |
Integral Calculus | 4 credits | |
and | ||
Micro-Economics | 3 credits | |
Macro-Economics | 3 credits | |
Required Courses | ||
Intermediate Calculus | 4 credits | |
or | ||
Analytic Geometry and Calculus II | 5 credits | |
or | ||
MTH 3050 | Multi-Variable and Vector Calculus | 4 credits |
and | ||
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 must register 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 | |
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.
Program Prerequisites: | ||
As a preliminary requirement, students must complete two semesters of calculus, which may be achieved by any one of the following three methods: | ||
Option 1: | MTH 2610 Calculus I * | 4 credits |
and | ||
| MTH 3010 Calculus II * | 4 credits |
* A combined GPA of 3.5 or higher in Calculus I and Calculus II is required. | ||
| ||
Option 2: | Calculus AP exam (BC) with a score of 4 or 5 | |
| ||
Option 3: | Calculus AP exam (AB) with a score of 4 or 5 | |
and | ||
MTH 3010 Calculus II (with a grade of B+ or higher) | 4 credits | |
Preliminary Courses: | ||
Multi-Variable and Vector Calculus | 4 credits | |
Algorithms, Computers, and Programming I | 3 credits | |
MTH 4000 | Bridge to Higher Mathematics | 4 credits |
To gain official admission to the program, students must complete MTH 3050 and MTH 4000 with a minimum grade of B in each course. | ||
Required Courses: | ||
Economics and Finance courses: | ||
Micro-economics | 3 credits | |
ECO 1002 | Macro-economics | 3 credits |
FIN 3000 | Principles of Finance (Students must complete the following courses as pre-requisites: ACC 2101; BUS 1000; CIS 2200; ECO 1001; ECO 1002; and STA 2000) | 3 credits |
FIN 3610 | Corporate Finance | 3 credits |
Upper-level Mathematics courses: | ||
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 must register for MTH 4119 as an independent study (please consult the Department of Mathematics). |
The Minor - fall 2015 (See below for changes to the Minor that will take place in spring 2016.)
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 3010 and any other 3- or 4-credit mathematics course numbered 3000 or higher. Students must then complete a capstone course consisting of any mathematics course at the 4000 level or higher.
The Minor (effective spring 2016)
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 3010 and any other 3- or 4-credit mathematics course numbered 3000 or higher. Students must then complete a capstone course consisting of any mathematics course at the 4000-level or higher with the exception of MTH 4410 (which may not be used as a capstone course).
Courses
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 II | 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 | |
Elementary Calculus II | 4 hours; 4 credits | |
Intermediate Calculus | 4 hours; 4 credits | |
Analytic Geometry and Calculus II | 5 hours; 5 credits | |
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 4000 | Bridge to Higher Mathematics | 4 hours; 3 credits |
Problem-Solving Seminar | 3 hours; 3 credits | |
Advanced Calculus 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 | |
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 |