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faculty
faculty

The Faculty

Chair:  Warren B. Gordon  

University Distinguished Professor:

Presidential Professor:

Professors:

Associate Professors:

Assistant Professors:

Lecturers:

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fielddesc
fielddesc

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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major
major

The Majors

 

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math
math

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:
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MTH 3300

Algorithms, Computers and Programming I3 credits
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Advanced Calculus I

effective spring 2018: course title changes to Mathematical Analysis I

3 credits
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MTH 4100

Linear Algebra and Matrix Methods3 credits

and may take the following course, depending on the

trajectory of their academic career.

  
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Proof Writing for Advanced Calculus *1 credit

*

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Proof Writing for Advanced Calculus is designed for students who want additional exposure to proof writing before enrolling in
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. 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:
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MTH 2610

Calculus I4 credits
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MTH 3010

Calculus II4 credits
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MTH 3020

Intermediate Calculus4 credits
  or 
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Multi-Variable and Vector Calculus

4 credits
or
Track II:
 
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MTH 2630

Analytic Geometry and Calculus I5 credits
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MTH 3030

Analytic Geometry and Calculus II5 credits
or
Track III:
 
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MTH 2205

Applied Calculus3 credits
 or 
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MTH 2207

Applied Calculus and Matrix Applications4 credits
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MTH 3006

Integral Calculus4 credits
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MTH 3030

Analytic Geometry and Calculus II5 credits
Electives

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

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Topology3 credits
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Advanced Calculus II 3 credits 
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MTH 4110

Ordinary Differential Equations3 credits
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MTH 4120

Introduction to Probability4 credits
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Numerical Methods for Differential Equations in Finance4 credits 
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MTH 4125

Introduction to Stochastic Process4 credits
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MTH 4130

Mathematics of Statistics4 credits
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MTH 4135

Computational Methods in Probability3 credits
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MTH 4140

Graph Theory3 credits
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MTH 4145

Mathematical Modeling * 3 credits
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MTH 4150

Combinatorics3 credits
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MTH 4200

Theory of Numbers3 credits
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MTH 4210

Elements of Modern Algebra3 credits
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MTH 4230

History of Mathematics3 credits
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MTH 4240

Differential Geometry * 3 credits
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MTH 4300

Algorithms, Computers and Programming II * 3 credits
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MTH 4310

Methods of Numerical Analysis3 credits
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MTH 4315

Introduction to Mathematical Logic3 credits
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MTH 4320

Fundamental Algorithms3 credits
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MTH 4500

Introductory Financial Mathematics4 credits
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MTH 5010

Advanced Calculus III *3 credits
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MTH 5020

Theory of Functions of a Complex Variable*3 credits
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MTH 5030

Theory of Functions of Real Variables*3 credits
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MTH 5100

Partial Differential Equations and Boundary Value Problems*4 credits
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Stochastic Calculus for Finance

4 credits 
* These courses are offered infrequently, subject to student demand.

 

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actuarial
actuarial

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:  
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MTH 2610

Calculus I4 credits
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MTH 3010

Calculus II4 credits
or 
Option 2: 
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MTH 2205

Applied Calculus3 credits
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MTH 3006

Integral Calculus4 credits
or 
Option 3: 

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Applied Calculus3 credits

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DisciplineMTH

Integral Calculus4 credits
or  
Option 4:  
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Integral Calculus4 credits
or  
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Calculus II4 credits
or  
Option 5: *  
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Integral Calculus4 credits
and  
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Infinite Series1 credit
   
And complete one of the following courses:  
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Intermediate Calculus4 credits
or  
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Analytic Geometry and Calculus II5 credits
or  
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DisciplineMTH
Multi-Variable and Vector Calculus4 credits
   
Business Program Prerequisites
  
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DisciplineACC
Principles of Accounting 
   
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Introduction to Business **3 credits
or  
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Business Fundamentals: The Contemporary Business Landscape **3 credits
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DisciplineCIS
Introduction to Information Systems and Technologies **3 credits
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Micro-Economics3 credits
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Macro-Economics3 credits
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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
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MTH 3300

Algorithms, Computers, and Programming I3 credits
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MTH 4120

Introduction to Probability ***4 credits
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MTH 4410

Theory of Interest4 credits
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MTH 4500

Mathematical Finance4 credits
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FIN 3000

Principles of Finance3 credits
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FIN 3610

Corporate Finance3 credits

*** Students who have completed

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cannot enroll in MTH 4120. They must satisfy the probability requirement by registering for
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 as an independent study (please consult the Department of Mathematics).

Electives

In addition, one course must be chosen from the following list of electives:

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Numerical Methods for Differential Equations in Finance 4 credits
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MTH 4125

Introduction to Stochastic Processes4 credits
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MTH 4130

Mathematics of Statistics4 credits
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MTH 4135

Computational Methods in Probability3 credits
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MTH 4420

Actuarial Mathematics4 credits
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MTH 4421

Actuarial Mathematics II4 credits
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MTH 4451

Short-Term Insurance Mathematics (formerly Risk Theory)

4 credits
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Stochastic Calculus for Finance4 credits 

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

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Intermediate Micro-Economics

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Intermediate Macro-Economics

 

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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.

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
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and
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)
8 credits

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DisciplineMTH

Multi-Variable and Vector Calculus4 credits
 or 
Option 2:  

 

Calculus AP exam (AB) with a score of 4 or 5 (transfers to Baruch as
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)

4 credits
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Calculus II 4 credits
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DisciplineMTH
Multi-Variable and Vector Calculus4 credits
 

 or

 
Option 3:  
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Calculus I4 credits
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Calculus II4 credits
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DisciplineMTH
Multi-Variable and Vector Calculus4 credits
 or 
Option 4:  

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DisciplineMTH
/
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Applied Calculus3 credits
or  
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DisciplineMTH
Applied Calculus and Matrix Applications4 credits
and the following three courses:  
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Integral Calculus4 credits
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DisciplineMTH
Analytic Geometry and Calculus II5 credits
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DisciplineMTH
Vector Calculus *1 credit
 or 
Option 5:  
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/
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Applied Calculus3 credits
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DisciplineMTH
Applied Calculus and Matrix Applications4 credits
and the following three courses:  
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DisciplineMTH
Integral Calculus4 credits
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Infinite Series1 credit
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DisciplineMTH
Multi-Variable and Vector Calculus *4 credits
 or 
Option 6:  
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DisciplineMTH
Analytic Geometry and Calculus I5 credits
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DisciplineMTH
Analytic Geometry and Calculus II5 credits
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DisciplineMTH
Vector Calculus *1 credit
   
Each option also requires:  
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*
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:
 

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DisciplineACC

Principles of Accounting 3 credits

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DisciplineECO

Micro-Economics3 credits
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Macro-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:
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Principles of Finance

3 credits
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Corporate Finance3 credits
Required Upper-level Mathematics Courses:
 
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Algorithms, Computers, and Programming I3 credits
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Linear Algebra 3 credits
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Numerical Methods for Differential Equations

4 credits

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Introduction to Probability *4 credits

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Introduction to Stochastic Processes4 credits

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Mathematics of Statistics4 credits

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Algorithms, Computers, and Programming II3 credits

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

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Stochastic Calculus for Finance3 credits

* Students who have completed

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cannot enroll in MTH 4120. They must satisfy the probability requirement by registering for
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 as an independent study (please consult the Department of Mathematics).
                                                       

  

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minor
minor

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

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or
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and any other 3- or 4-credit mathematics course numbered 3000 or higher, with the exceptions of
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and
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(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
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(which may not be used as a capstone course).

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courses-mth
courses-mth

Courses in Mathematics (MTH)

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MTH 1030

College Algebra

4 hours; 2 credits

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MTH 2003

Pre-calculus and Elements of Calculus

4 hours; 3 credits

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MTH 2120

Mathematics Appreciation

3 hours; 3 credits

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MTH 2140

Mathematics and Quantitative Reasoning

4 hours; 3 credits

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MTH 2160

Ideas in Mathematics and Their Applications

4 hours; 3 credits

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MTH 2205

Applied Calculus

4 hours; 3 credits

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MTH 2206

Applied Calculus

3 hours; 3 credits

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MTH 2207

Applied Calculus and Matrix Applications

4 hours; 4 credits

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MTH 2301

Concepts of Discrete Mathematics

3 hours; 3 credits

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MTH 2610

Calculus I

4 hours; 4 credits

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MTH 2630

Analytic Geometry and Calculus I

5 hours; 5 credits

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MTH 3006

Integral Calculus

4 hours; 4 credits

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Infinite Series1 hour; 1 credit

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MTH 3010

Elementary Calculus II

4 hours; 4 credits

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MTH 3020

Intermediate Calculus

4 hours; 4 credits

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MTH 3030

Analytic Geometry and Calculus II

5 hours; 5 credits

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Vector Calculus1 hour; 1 credit 

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MTH 3040

Actuarial Science Theory and Problem Seminar

2 hours; 2 credits

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Multi-Variable and Vector Calculus4 hours; 4 credits

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MTH 3100

Selected Topics in Discrete Mathematics

3 hours; 3 credits

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MTH 3120

Elementary Probability

3 hours; 3 credits

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MTH 3300

"Algorithms, Computers, and Programming I"

4 hours; 3 credits

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MTH 3901

Actuarial Science Internship

1 hour; 1 credit

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MTH 3902

Actuarial Science Internship

1 hour; 1 credit

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MTH 3903

Actuarial Science Internship

1 hour; 1 credit

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MTH 3904

Actuarial Science Internship

1 hour; 1 credit

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MTH 3905

Math Internship

1 hour; 1 credit

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MTH 3906

Math Internship

1 hour; 1 credit

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MTH 3907

Math Internship

1 hour; 1 credit

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MTH 3908

Math Internship

1 hour; 1 credit

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Financial Mathematics Internship 1 hour; 1credit 
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Financial Mathematics Internship 1 hour; 1credit 
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Financial Mathematics Internship 1 hour; 1credit 
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Financial Mathematics Internship 1 hour; 1credit 
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Bridge to Higher Mathematics 4 hours; 3 credits 

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MTH 4005

Problem-Solving Seminar

3 hours; 3 credits

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Proof Writing for Advanced Calculus1 hour; 1 credit

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MTH 4010

Advanced Calculus I

effective spring 2018: course title changes to Mathematical Analysis I

3 hours; 3 credits

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MTH 4020

Advanced Calculus II

3 hours; 3 credits

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MTH 4030

Topology

3 hours; 3 credits

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MTH 4100

Linear Algebra and Matrix Methods

3 hours; 3 credits

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MTH 4110

Ordinary Differential Equations

3 hours; 3 credits

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Numerical Methods for Differential Equations in Finance4 hours; 4 credits
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Multivariate Probability Distributions

1 hour; 1 credit 

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MTH 4120

Introduction to Probability

4 hours; 4 credits

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MTH 4125

Introduction to Stochastic Processes

4 hours; 4 credits

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MTH 4130

Mathematics of Statistics

4 hours; 4 credits

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MTH 4135

Computational Methods in Probability

4 hours; 3 credits

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MTH 4140

Graph Theory

3 hours; 3 credits

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MTH 4145

Mathematical Modeling

3 hours; 3 credits

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MTH 4150

Combinatorics

3 hours; 3 credits

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MTH 4200

Theory of Numbers

3 hours; 3 credits

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MTH 4210

Elements of Modern Algebra

3 hours; 3 credits

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MTH 4215

"Finite Fields, Algebraic Curves, and Applications"

3 hours; 3 credits

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MTH 4230

History of Mathematics

4 hours; 4 credits

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MTH 4240

Differential Geometry

3 hours; 3 credits

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MTH 4300

"Algorithms, Computers, and Programming II"

4 hours; 3 credits

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MTH 4310

Methods of Numerical Analysis

3 hours; 3 credits

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MTH 4315

Introduction to Mathematical Logic

4 hours; 3 credits

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MTH 4320

Fundamental Algorithms

4 hours; 3 credits

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MTH 4340

Switching Theory

3 hours; 3 credits

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MTH 4395

Special Topics in Computer Science

3 hours; 3 credits

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MTH 4400

Finite Differences

4 hours; 4 credits

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MTH 4410

Theory of Interest

4 hours; 4 credits

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MTH 4420

Actuarial Mathematics

4 hours; 4 credits

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MTH 4421

Actuarial Mathematics II

4 hours; 4 credits

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MTH 4451

Short-Term Insurance Mathematics (formerly Risk Theory)

4 hours; 4 credits

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MTH 4500

Introductory Financial Mathematics

4 hours; 4 credits

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Data Analysis and Simulation for Financial Engineers4 hours; 4 credits 

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MTH 5000

Independent Study I

Hours and credits to be arranged

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MTH 5001

Independent Study II

Hours and credits to be arranged

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MTH 5002

Independent Study III

Hours and credits to be arranged

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MTH 5003

Independent Study IV

Hours and credits to be arranged

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MTH 5004

Independent Study V

Hours and credits to be arranged

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MTH 5010

Advanced Calculus III

3 hours; 3 credits

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MTH 5020

Theory of Functions of a Complex Variable

3 hours; 3 credits

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MTH 5030

Theory of Functional of Real Variables

3 hours; 3 credits

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MTH 5100

Partial Differential Equations and Boundary Value Problems

4 hours; 4 credits

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Stochastic Calculus for Finance4 hours; 4 credits

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MTH 6001H

Honors in Mathematics I

Hours and credits to be arranged

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MTH 6002H

Honors in Mathematics II

Hours and credits to be arranged

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MTH 6003H

Honors in Mathematics III

Hours and credits to be arranged

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