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The Faculty

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

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Field Description

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.

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The Majors

 

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 Courses
All students must take the following three courses:
Algorithms, Computers and Programming I3 credits
MTH 4010

Advanced Calculus I

effective spring 2018: course title changes to Mathematical Analysis I

3 credits
Linear Algebra and Matrix Methods3 credits

and may take the following course, depending on the

trajectory of their academic career.

  
MTH 4009Proof 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 I4 credits
Calculus II4 credits
Intermediate Calculus4 credits
  or 
MTH 3050

Multi-Variable and Vector Calculus

4 credits
or
Track II:
 
Analytic Geometry and Calculus I5 credits
Analytic Geometry and Calculus II5 credits
or
Track III:
 
Applied Calculus3 credits
 or 
Applied Calculus and Matrix Applications4 credits
Integral Calculus4 credits
Analytic Geometry and Calculus II5 credits
Electives

Any four 4000-level or 5000-level courses from the following group:

MTH 4030 Topology3 credits
MTH 4020Advanced Calculus II 3 credits 
Ordinary Differential Equations3 credits
Introduction to Probability4 credits
MTH 4115Numerical Methods for Differential Equations in Finance4 credits 
Introduction to Stochastic Process4 credits
Mathematics of Statistics4 credits
Computational Methods in Probability3 credits
Graph Theory3 credits
Mathematical Modeling * 3 credits
Combinatorics3 credits
Theory of Numbers3 credits
Elements of Modern Algebra3 credits
History of Mathematics3 credits
Differential Geometry * 3 credits
Algorithms, Computers and Programming II * 3 credits
Methods of Numerical Analysis3 credits
Introduction to Mathematical Logic3 credits
Fundamental Algorithms3 credits
Introductory Financial Mathematics4 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.

 

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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 Prerequisites

Based on placement follow one of the following preliminary calculus options below:

Option 1:  
Calculus I4 credits
Calculus II4 credits
or 
Option 2: 
Applied Calculus3 credits
Integral Calculus4 credits
or 
Option 3: 

MTH 2207

Applied Calculus3 credits

MTH 3006

Integral Calculus4 credits
or  
Option 4:  
MTH 3006Integral Calculus4 credits
or  
MTH 3010Calculus II4 credits
or  
Option 5: *  
MTH 3006Integral Calculus4 credits
and  
MTH 3007Infinite Series1 credit
   
And complete one of the following courses:  
MTH 3020Intermediate Calculus4 credits
or  
MTH 3030Analytic Geometry and Calculus II5 credits
or  
MTH 3050Multi-Variable and Vector Calculus4 credits
   
Business Program Prerequisites
  
ACC 2101Principles of Accounting 
   
BUS 1000Introduction to Business **3 credits
or  
BUS 1011Business Fundamentals: The Contemporary Business Landscape **3 credits
CIS 2200Introduction to Information Systems and Technologies **3 credits
ECO 1001Micro-Economics3 credits
ECO 1002Macro-Economics3 credits
STA 2000Business 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 I3 credits
Introduction to Probability ***4 credits
Theory of Interest4 credits
Mathematical Finance4 credits
Principles of Finance3 credits
Corporate Finance3 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).

Electives

In 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 Processes4 credits
Mathematics of Statistics4 credits
Computational Methods in Probability3 credits
Actuarial Mathematics4 credits
Actuarial Mathematics II4 credits

Short-Term Insurance Mathematics (formerly Risk Theory)

4 credits
MTH 5500Stochastic Calculus for Finance4 credits 

The following courses are recommended, but not required. They are not applicable toward the major.

ECO 3100 Intermediate Micro-Economics

ECO 3200 Intermediate Macro-Economics

 

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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

MTH 3050

Multi-Variable and Vector Calculus4 credits
 or 
Option 2:  

 

Calculus AP exam (AB) with a score of 4 or 5 (transfers to Baruch as MTH 2610)
4 credits
MTH 3010Calculus II 4 credits
MTH 3050Multi-Variable and Vector Calculus4 credits
 

 or

 
Option 3:  
MTH 2610Calculus I4 credits
MTH 3010Calculus II4 credits
MTH 3050Multi-Variable and Vector Calculus4 credits
 or 
Option 4:  

MTH 2205/ MTH 2206

Applied Calculus3 credits
or  
MTH 2207Applied Calculus and Matrix Applications4 credits
and the following three courses:  
MTH 3006Integral Calculus4 credits
MTH 3030Analytic Geometry and Calculus II5 credits
MTH 3035Vector Calculus *1 credit
 or 
Option 5:  
MTH 2205/ MTH 2206Applied Calculus3 credits
MTH 2207Applied Calculus and Matrix Applications4 credits
and the following three courses:  
MTH 3006Integral Calculus4 credits
MTH 3007Infinite Series1 credit
MTH 3050Multi-Variable and Vector Calculus *4 credits
 or 
Option 6:  
MTH 2630Analytic Geometry and Calculus I5 credits
MTH 3030Analytic Geometry and Calculus II5 credits
MTH 3035Vector Calculus *1 credit
   
Each option also requires:  
MTH 4000 *Bridge to Higher Mathematics4 credits
  

* NOTES:

  1. At least an overall B+ average is required for the calculus courses preceding MTH 3020, MTH 3030 or MTH 3050 in each of the above options.
  2. MTH 3050 may be replaced with MTH 3020 and MTH 3035 in any of the above options.
  3. At least a B or better is required in: MTH 3050; or MTH 3020 and MTH 3035; or MTH 3030 and MTH 3035 as appropriate.
  4. To gain official admission to the program students must complete MTH 4000 with a minimum grade of B.
 
Business Program Prerequisites:
 

ACC 2101

Principles of Accounting 3 credits

ECO 1001

Micro-Economics3 credits
ECO 1002Macro-Economics3 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 3610Corporate Finance3 credits
Required Upper-level Mathematics Courses:
 
MTH 3300Algorithms, Computers, and Programming I3 credits
MTH 4100Linear Algebra 3 credits
MTH 4115

Numerical Methods for Differential Equations

4 credits

MTH 4120

Introduction to Probability *4 credits

MTH 4125

Introduction to Stochastic Processes4 credits

MTH 4130

Mathematics of Statistics4 credits

MTH 4300

Algorithms, Computers, and Programming II3 credits

MTH 4500

Introductory Financial Mathematics4 credits
MTH 4600Data Analysis and Simulation for Financial Engineers4 credits

MTH 5500

Stochastic Calculus for Finance3 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).                                                       

  

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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).

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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 3007Infinite Series1 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 3035Vector Calculus1 hour; 1 credit 

Actuarial Science Theory and Problem Seminar

2 hours; 2 credits

MTH 3050Multi-Variable and Vector Calculus4 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 3909Financial Mathematics Internship 1 hour; 1credit 
MTH 3910Financial Mathematics Internship 1 hour; 1credit 
MTH 3911Financial Mathematics Internship 1 hour; 1credit 
MTH 3912Financial Mathematics Internship 1 hour; 1credit 
MTH 4000 Bridge to Higher Mathematics 4 hours; 3 credits 

Problem-Solving Seminar

3 hours; 3 credits

MTH 4009Proof Writing for Advanced Calculus1 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 4115Numerical Methods for Differential Equations in Finance4 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 4600Data Analysis and Simulation for Financial Engineers4 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 5500Stochastic Calculus for Finance4 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

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