The Faculty
Chair: Warren B. Gordon
University Distinguished Professor:
Presidential Professor:
Professors:
Associate Professors:
Assistant Professors:
Lecturers:
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.
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 CoursesAll students must take the following three courses: 
 Algorithms, Computers and Programming I  3 credits 
Showcourse v 

CourseNumber  4010 

Discipline  MTH 


 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  
Showcourse v 

CourseNumber  3050 

Discipline  MTH 


 MultiVariable 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 4000level or 5000level courses from the following group: 
Showcourse v 

CourseNumber  4030 

Discipline  MTH 

  Topology  3 credits 
Showcourse v 

CourseNumber  4020 

Discipline  MTH 


 Advanced Calculus II  3 credits 
 Ordinary Differential Equations  3 credits 
 Introduction to Probability  4 credits 
Showcourse v 

CourseNumber  4115 

Discipline  MTH 


 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 
Showcourse v 

CourseNumber  5500 

Discipline  MTH 


 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 Showcourse v 

CourseNumber  3120 

Discipline  MTH 

 must register for Showcourse v 

CourseNumber  4119 

Discipline  MTH 

 as an independent study (please consult the Department of Mathematics). 
In addition, students should take: 
 MicroEconomics  3 credits 
 MacroEconomics  3 credits 
 Principles of Finance  3 credits 
 Corporate Finance  3 credits 
or  
 Investment Analysis  3 credits 
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 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  
 MicroEconomics  3 credits 
 MacroEconomics  3 credits 
Required Courses 
 Intermediate Calculus  4 credits 
or  
 Analytic Geometry and Calculus II  5 credits 
or   
Showcourse v 

CourseNumber  3050 

Discipline  MTH 


 MultiVariable 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 Showcourse v 

CourseNumber  3120 

Discipline  MTH 

 must register for Showcourse v 

CourseNumber  4119 

Discipline  MTH 

 as an independent study (please consult the Department of Mathematics). 
ElectivesIn addition, one course must be chosen from the following list of electives: 
Showcourse v 

CourseNumber  4115 

Discipline  MTH 

  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 
Showcourse v 

CourseNumber  5500 

Discipline  MTH 


 Stochastic Calculus for Finance  4 credits 
The following courses are recommended, but not required. They are not applicable toward the major.
Showcourse v 

CourseNumber  3100 

Discipline  ECO 

 Intermediate MicroEconomics Showcourse v 

CourseNumber  3200 

Discipline  ECO 

 Intermediate MacroEconomics 
Anchor 

 financial mathematics 

 financial mathematics 


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:  Showcourse v 

CourseNumber  2610 

Discipline  MTH 

 Calculus I *  4 credits 
 and  
 Showcourse v 

CourseNumber  3010 

Discipline  MTH 

 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  
 Showcourse v 

CourseNumber  3010 

Discipline  MTH 

 Calculus II (with a grade of B+ or higher)  4 credits 
 
Preliminary Courses:  
Showcourse v 

CourseNumber  3050 

Discipline  MTH 


 MultiVariable and Vector Calculus  4 credits 
Showcourse v 

CourseNumber  3300 

Discipline  MTH 


 Algorithms, Computers, and Programming I  3 credits 
Showcourse v 

CourseNumber  4000 

Discipline  MTH 


 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: 
Showcourse v 

CourseNumber  1001 

Discipline  ECO 


 Microeconomics  3 credits 
Showcourse v 

CourseNumber  1002 

Discipline  ECO 


 Macroeconomics  3 credits 
Showcourse v 

CourseNumber  3000 

Discipline  FIN 


 Principles of Finance (Students must complete the following courses as prerequisites: Showcourse v 

CourseNumber  2101 

Discipline  ACC 

 ; Showcourse v 

CourseNumber  1000 

Discipline  BUS 

 ; Showcourse v 

CourseNumber  2200 

Discipline  CIS 

 ; Showcourse v 

CourseNumber  1001 

Discipline  ECO 

 ; Showcourse v 

CourseNumber  1002 

Discipline  ECO 

 ; and Showcourse v 

CourseNumber  2000 

Discipline  STA 

 )  3 credits 
Showcourse v 

CourseNumber  3610 

Discipline  FIN 


 Corporate Finance  3 credits 
Upperlevel Mathematics courses:  
Showcourse v 

CourseNumber  4100 

Discipline  MTH 


 Linear Algebra  3 credits 
Showcourse v 

CourseNumber  4115 

Discipline  MTH 


 Numerical Methods for Differential Equations  4 credits 
Showcourse v 

CourseNumber  4120 

Discipline  MTH 


 Introduction to Probability *  4 credits 
Showcourse v 

CourseNumber  4125 

Discipline  MTH 


 Introduction to Stochastic Processes  4 credits 
Showcourse v 

CourseNumber  4130 

Discipline  MTH 


 Mathematics of Statistics  4 credits 
Showcourse v 

CourseNumber  4300 

Discipline  MTH 


 Algorithms, Computers, and Programming II  3 credits 
Showcourse v 

CourseNumber  4500 

Discipline  MTH 


 Introductory Financial Mathematics  4 credits 
Showcourse v 

CourseNumber  4600 

Discipline  MTH 


 Data Analysis and Simulation for Financial Engineers  4 credits 
Showcourse v 

CourseNumber  5500 

Discipline  MTH 


 Stochastic Calculus for Finance  3 credits 
* Students who have completed Showcourse v 

CourseNumber  3120 

Discipline  MTH 

 must register for Showcourse v 

CourseNumber  4119 

Discipline  MTH 

 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 4credit 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 4credit mathematics course numbered 3000 or higher. Students must then complete a capstone course consisting of any mathematics course at the 4000level or higher with the exception of MTH 4410 (which may not be used as a capstone course).
 College Algebra  4 hours; 2 credits 
 Precalculus 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 
Showcourse v 

CourseNumber  3050 

Discipline  MTH 


 MultiVariable 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 
Showcourse v 

CourseNumber  4000 

Discipline  MTH 

  Bridge to Higher Mathematics  4 hours; 3 credits 
 ProblemSolving 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 
Showcourse v 

CourseNumber  4115 

Discipline  MTH 


 Numerical Methods for Differential Equations in Finance  4 hours; 4 credits 
Showcourse v 

CourseNumber  4119 

Discipline  MTH 


 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 
Showcourse v 

CourseNumber  4600 

Discipline  MTH 


 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 
Showcourse v 

CourseNumber  5500 

Discipline  MTH 


 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 