The Faculty

Chair:  Warren B. Gordon 

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 Courses

All students must take the following three courses:

MTH 3300

Algorithms, Computers and Programming I3 credits
Advanced Calculus I3 credits

MTH 4100

Linear Algebra and Matrix Methods3 credits
Students may fulfill their calculus requirements by any one of the following three alternate calculus tracks:

Track I:

MTH 2610

Calculus I4 credits

MTH 3010

Calculus II4 credits

MTH 3020

Intermediate Calculus4 credits
  or 

Multi-Variable and Vector Calculus

4 credits
or
Track II:
 

MTH 2630

Analytic Geometry and Calculus I5 credits

MTH 3030

Analytic Geometry and Calculus II5 credits
or
Track III:
 

MTH 2205

Applied Calculus II3 credits
 or 

MTH 2207

Applied Calculus and Matrix Applications4 credits

MTH 3006

Integral Calculus4 credits

MTH 3030

Analytic Geometry and Calculus II5 credits

Electives

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

 Topology3 credits
Advanced Calculus II 3 credits 

MTH 4110

Ordinary Differential Equations3 credits

MTH 4120

Introduction to Probability4 credits
Numerical Methods for Differential Equations in Finance4 credits 

MTH 4125

Introduction to Stochastic Process4 credits

MTH 4130

Mathematics of Statistics4 credits

MTH 4135

Computational Methods in Probability3 credits

MTH 4140

Graph Theory3 credits

MTH 4145

Mathematical Modeling * 3 credits

MTH 4150

Combinatorics3 credits

MTH 4200

Theory of Numbers3 credits

MTH 4210

Elements of Modern Algebra3 credits

MTH 4230

History of Mathematics3 credits

MTH 4240

Differential Geometry * 3 credits

MTH 4300

Algorithms, Computers and Programming II * 3 credits

MTH 4310

Methods of Numerical Analysis3 credits

MTH 4315

Introduction to Mathematical Logic3 credits

MTH 4320

Fundamental Algorithms3 credits

MTH 4500

Introductory Financial Mathematics4 credits

MTH 5010

Advanced Calculus III *3 credits

MTH 5020

Theory of Functions of a Complex Variable*3 credits

MTH 5030

Theory of Functions of Real Variables*3 credits

MTH 5100

Partial Differential Equations and Boundary Value Problems*4 credits

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:

MTH 4110

Ordinary Differential Equations3 credits

MTH 4120

Introduction to Probability4 credits

MTH 4125

Introduction to Stochastic Process4 credits

MTH 4135

Computational Methods in Probability3 credits

MTH 4500

Introductory Financial Mathematics4 credits
In addition, students should take:

ECO 1001

Micro-Economics 3 credits

ECO 1002

Macro-Economics3 credits

FIN 3000

Principles of Finance3 credits

FIN 3610

Corporate Finance3 credits
or 

FIN 3710

Investment Analysis3 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

MTH 2610

Calculus I4 credits

MTH 3010

Calculus II4 credits
or 

MTH 2205

Applied Calculus II3 credits

MTH 3006

Integral Calculus4 credits
and 

ECO 1001

Micro-Economics3 credits

ECO 1002

Macro-Economics3 credits
Required Courses

MTH 3020

Intermediate Calculus4 credits
or 

MTH 3030

Analytic Geometry and Calculus II5 credits
 or  

Multi-Variable and Vector Calculus

4 credits
and 

MTH 3300

Algorithms, Computers, and Programming I3 credits

MTH 4120

Introduction to Probability4 credits

MTH 4410

Theory of Interest4 credits

MTH 4500

Mathematical Finance4 credits

FIN 3000

Principles of Finance3 credits

FIN 3610

Corporate Finance3 credits

Electives

In addition, one course must be chosen from the following list of electives:
 Numerical Methods for Differential Equations in Finance 4 credits

MTH 4125

Introduction to Stochastic Processes4 credits

MTH 4130

Mathematics of Statistics4 credits

MTH 4135

Computational Methods in Probability3 credits

MTH 4420

Actuarial Mathematics4 credits

MTH 4421

Actuarial Mathematics II4 credits

MTH 4451

Risk Theory4 credits
Stochastic Calculus for Finance4 credits 

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

Intermediate Micro-Economics

Intermediate Macro-Economics

 

 

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 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.

Courses

Courses in Mathematics (MTH)

MTH 1030

College Algebra

4 hours; 2 credits

MTH 2003

Pre-calculus and Elements of Calculus

4 hours; 3 credits

MTH 2120

Mathematics Appreciation

3 hours; 3 credits

MTH 2140

Mathematics and Quantitative Reasoning

4 hours; 3 credits

MTH 2160

Ideas in Mathematics and Their Applications

4 hours; 3 credits

MTH 2205

Applied Calculus II

4 hours; 3 credits

MTH 2206

Applied Calculus

3 hours; 3 credits

MTH 2207

Applied Calculus and Matrix Applications

4 hours; 4 credits

MTH 2301

Concepts of Discrete Mathematics

3 hours; 3 credits

MTH 2610

Calculus I

4 hours; 4 credits

MTH 2630

Analytic Geometry and Calculus I

5 hours; 5 credits

MTH 3006

Integral Calculus

4 hours; 4 credits

MTH 3010

Elementary Calculus II

4 hours; 4 credits

MTH 3020

Intermediate Calculus

4 hours; 4 credits

MTH 3030

Analytic Geometry and Calculus II

5 hours; 5 credits

MTH 3040

Actuarial Science Theory and Problem Seminar

2 hours; 2 credits

Multi-Variable and Vector Calculus4 hours; 4 credits

MTH 3100

Selected Topics in Discrete Mathematics

3 hours; 3 credits

MTH 3120

Elementary Probability

3 hours; 3 credits

MTH 3300

"Algorithms, Computers, and Programming I"

4 hours; 3 credits

MTH 3901

Actuarial Science Internship

1 hour; 1 credit

MTH 3902

Actuarial Science Internship

1 hour; 1 credit

MTH 3903

Actuarial Science Internship

1 hour; 1 credit

MTH 3904

Actuarial Science Internship

1 hour; 1 credit

MTH 3905

Math Internship

1 hour; 1 credit

MTH 3906

Math Internship

1 hour; 1 credit

MTH 3907

Math Internship

1 hour; 1 credit

MTH 3908

Math Internship

1 hour; 1 credit

 Bridge to Higher Mathematics 4 hours; 3 credits 

MTH 4005

Problem-Solving Seminar

3 hours; 3 credits

MTH 4010

Advanced Calculus I

3 hours; 3 credits

MTH 4020

Advanced Calculus II

3 hours; 3 credits

MTH 4030

Topology

3 hours; 3 credits

MTH 4100

Linear Algebra and Matrix Methods

3 hours; 3 credits

MTH 4110

Ordinary Differential Equations

3 hours; 3 credits

Numerical Methods for Differential Equations in Finance4 hours; 4 credits

MTH 4120

Introduction to Probability

4 hours; 4 credits

MTH 4125

Introduction to Stochastic Processes

4 hours; 4 credits

MTH 4130

Mathematics of Statistics

4 hours; 4 credits

MTH 4135

Computational Methods in Probability

4 hours; 3 credits

MTH 4140

Graph Theory

3 hours; 3 credits

MTH 4145

Mathematical Modeling

3 hours; 3 credits

MTH 4150

Combinatorics

3 hours; 3 credits

MTH 4200

Theory of Numbers

3 hours; 3 credits

MTH 4210

Elements of Modern Algebra

3 hours; 3 credits

MTH 4215

"Finite Fields, Algebraic Curves, and Applications"

3 hours; 3 credits

MTH 4230

History of Mathematics

4 hours; 4 credits

MTH 4240

Differential Geometry

3 hours; 3 credits

MTH 4300

"Algorithms, Computers, and Programming II"

4 hours; 3 credits

MTH 4310

Methods of Numerical Analysis

3 hours; 3 credits

MTH 4315

Introduction to Mathematical Logic

4 hours; 3 credits

MTH 4320

Fundamental Algorithms

4 hours; 3 credits

MTH 4340

Switching Theory

3 hours; 3 credits

MTH 4395

Special Topics in Computer Science

3 hours; 3 credits

MTH 4400

Finite Differences

4 hours; 4 credits

MTH 4410

Theory of Interest

4 hours; 4 credits

MTH 4420

Actuarial Mathematics

4 hours; 4 credits

MTH 4421

Actuarial Mathematics II

4 hours; 4 credits

MTH 4451

Risk Theory

4 hours; 4 credits

MTH 4500

Introductory Financial Mathematics

4 hours; 4 credits

Data Analysis and Simulation for Financial Engineers4 hours; 4 credits 

MTH 5000

Independent Study I

Hours and credits to be arranged

MTH 5001

Independent Study II

Hours and credits to be arranged

MTH 5002

Independent Study III

Hours and credits to be arranged

MTH 5003

Independent Study IV

Hours and credits to be arranged

MTH 5004

Independent Study V

Hours and credits to be arranged

MTH 5010

Advanced Calculus III

3 hours; 3 credits

MTH 5020

Theory of Functions of a Complex Variable

3 hours; 3 credits

MTH 5030

Theory of Functional of Real Variables

3 hours; 3 credits

MTH 5100

Partial Differential Equations and Boundary Value Problems

4 hours; 4 credits

Stochastic Calculus for Finance4 hours; 4 credits

MTH 6001H

Honors in Mathematics I

Hours and credits to be arranged

MTH 6002H

Honors in Mathematics II

Hours and credits to be arranged

MTH 6003H

Honors in Mathematics III

Hours and credits to be arranged