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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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major
major

The Majors

...

A student majoring in mathematics cannot declare a second major in statistics.

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mthlgs
mthlgs

Program Learning Goals

Upon completion of the two-year sequence in calculus, students will be able to:

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mth major reqs
mth major reqs

Major Course Requirements

Math Program Prerequisites

As a preliminary requirement, students must complete the calculus prerequisite, which may be achieved by any one of the six options.

Option 1:

 8 credits
 

Calculus AP Exam (BC) with a score of 4 or 5 (transfers to Baruch as 

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Calculus II)

4 credits
 And one of the following:  
 
Showcourse v
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 Intermediate Calculus4 credits
 or  
 
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 Multi-Variable and Vector Calculus *4 credit
  or 
 Option 2: 12 credits
 

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

Showcourse v
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Calculus I)

4 credits
and  
 
Showcourse v
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DisciplineMTH
Calculus I4 credits
 And one of the following:  
 
Showcourse v
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Intermediate Calculus4 credits
or  
 
Showcourse v
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Multi-Variable and Vector Calculus *4 credits
  or 
Option 3: 12 credits
Showcourse v
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Calculus I4 credits
and  
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Calculus II4 credits
 And one of the following:  
Showcourse v
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Intermediate Calculus4 credits
or 4 credits
Showcourse v
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Multi-Variable and Vector Calculus * 
 or 
Option 4: 12-13 credits
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Applied Calculus

3 credits
or  
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Applied Calculus and Matrix Applications4 credits
And the following two courses:  
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Integral Calculus4 credits
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Analytic Geometry and Calculus II5 credits
 or 
Option 5: 12-13 credits

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or

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Applied Calculus

3 credits
or  
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Applied Calculus and Matrix Applications4 credits
and  
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Integral Calculus4 credits
and  
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Infinite Series1 credit
And one of the following:  
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Intermediate Calculus4 credits
or  
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Multi-Variable and Vector Calculus *4 credits
 or 
Option 6: 10 credits
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Analytic Geometry and Calculus I

5 credits
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Analytic Geometry and Calculus II5 credits
   
 * MTH 3050 is not open to students who completed MTH 3020, MTH 3030, MTH 3035, or their equivalent. 
   

Required Courses

All students must take the following three courses:

  
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Algorithms, Computers and Programming I3 credits
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Mathematical Analysis I (formerly Advanced Calculus)3 credits
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Linear Algebra and Matrix Methods3 credits
 

Electives

Students must complete at least 15 elective credits from the following group of courses:
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Bridge to Higher Mathematics3 credits
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Proof Writing for Mathematical Analysis1 credit
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Topology3 credits
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Advanced Calculus II 3 credits 
showcourse

MTH 4110

Ordinary Differential Equations3 credits
showcourse

MTH 4120

Introduction to Probability **4 credits
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Numerical Methods for Differential Equations in Finance4 credits 
showcourse

MTH 4125

Introduction to Stochastic Process4 credits
showcourse

MTH 4130

Mathematics of Data Analysis (formerly Mathematics of Statistics)

4 credits
showcourse

MTH 4135

Computational Methods in Probability3 credits
showcourse

MTH 4140

Graph Theory3 credits
showcourse

MTH 4145

Mathematical Modeling * 3 credits
showcourse

MTH 4150

Combinatorics3 credits
showcourse

MTH 4200

Theory of Numbers3 credits
showcourse

MTH 4210

Elements of Modern Algebra3 credits
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Introduction to Modern Geometry3 credits
showcourse

MTH 4230

History of Mathematics3 credits
showcourse

MTH 4240

Differential Geometry * 3 credits
showcourse

MTH 4300

Algorithms, Computers and Programming II3 credits
showcourse

MTH 4310

Methods of Numerical Analysis3 credits
showcourse

MTH 4315

Introduction to Mathematical Logic3 credits
showcourse

MTH 4320

Fundamental Algorithms3 credits
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Actuarial Mathematics I4 credits
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Actuarial Mathematics II4 credits
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Mathematics of Inferential Statistics4 credits
Showcourse v
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Short-Term Insurance Mathematics4 credits
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Short-Term Insurance Mathematics II4 credits
showcourse

MTH 4500

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

MTH 5010

Advanced Calculus III *3 credits
showcourse

MTH 5020

Theory of Functions of a Complex Variable3 credits
showcourse

MTH 5030

Theory of Functions of Real Variables*3 credits
showcourse

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.

** Students may use the combination of

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and 
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in the place of
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as elective credit toward the major. MTH 4119 must be completed as an independent study (please consult the Department of Mathematics).

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actsciencelgs
actsciencelgs

Program Learning Goals

Upon completion of the required core courses in actuarial mathematics, students will be able to:

...

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actscience major reqs
actscience major reqs

Major Course Requirements

Math Program Prerequisites

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

Option 1:

 

8 credits

 

Calculus AP Exam (BC) with a score of 4 or 5 (transfers to Baruch as

Showcourse v
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Calculus II)

4 credits

And one of the following:

 

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Intermediate Calculus

4 credits

or

 

 

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Multi-Variable and Vector Calculus *

4 credits

or

Option 2:

 

12 credits

 

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

Showcourse v
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Calculus I)

4 credits

and

 

 

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Calculus II

4 credits

And one of the following:

 

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Intermediate Calculus

4 credits

or

 

 

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Multi-Variable and Vector Calculus *

4 credits

or

Option 3:

 

12 credits

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Calculus I

4 credits

and

 

 

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Calculus II

4 credits

And one of the following:

Showcourse v
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Intermediate Calculus

4 credits

or

 

 

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Multi-Variable and Vector Calculus *

4 credits

or

Option 4:

 

12-13 credits

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/
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Applied Calculus

 

3 credits

or

 

 

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Applied Calculus and Matrix Applications

4 credits

And the following two courses:

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Integral Calculus

4 credits

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Analytic Geometry and Calculus II

5 credits

or

Option 5:

 

12-13 credits

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/
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or

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Applied Calculus

 

Applied Calculus and Matrix Applications

3 credits

 

4 credits

And

 

 

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and

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Integral Calculus

 

Infinite Series

4 credits

 

1 credit

Plus one of the following:

Showcourse v
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Intermediate Calculus

4 credits

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Multi-Variable and Vector Calculus *

4 credits

or

Option 6:

 

10 credits

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Analytic Geometry and Calculus I

5 credits

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Analytic Geometry and Calculus II

5 credits

NOTE:

*

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is not open to students who completed
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,
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,
Showcourse v
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, or their equivalents.

 

Business Program Prerequisites

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Principles of Accounting

3 credits

 

 

 

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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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Introduction to Information Systems and Technologies **

3 credits

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Micro-Economics

3 credits

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Macro-Economics

3 credits

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Business Statistics I **

3 credits

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Principles of Finance

3 credits

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Corporate Finance

3 credits

 

NOTES:

** Students who have completed

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or both
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and
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, may have the following
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prerequisites waived:
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/
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;
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; and
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. Please consult the Weissman Associate Dean’s Office (WSAS.AssocDean@baruch.cuny.edu; 646-312-3890; Vertical Campus, room 8-265) to request registration permission.

 

Required Courses

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Algorithms, Computers, and Programming I

3 credits

Showcourse v
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Introduction to Probability ***

4 credits

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Theory of Interest

4 credits

 

Students must also complete three of the following five courses:

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Actuarial Mathematics I

4 credits

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Actuarial Mathematics II

4 credits

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Short-Term Mathematics

4 credits

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Short-Term Mathematics II

4 credits

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Introductory Financial Mathematics

4 credits

*** Students who have completed

Showcourse v
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cannot enroll in
Showcourse v
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DisciplineMTH
. They must satisfy the probability requirement by registering for
Showcourse v
CourseNumber4119
DisciplineMTH
as an independent study (please consult the Department of Mathematics).

 

Electives

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

Showcourse v
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Numerical Methods for Differential Equations in Finance

4 credits

Showcourse v
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Introduction to Stochastic Processes

4 credits

Showcourse v
CourseNumber4130
DisciplineMTH

Mathematics of Data Analysis (formerly Mathematics of Statistics)

4 credits

Showcourse v
CourseNumber4135
DisciplineMTH

Computational Methods in Probability

3 credits

Showcourse v
CourseNumber4420
DisciplineMTH

Actuarial Mathematics I

4 credits

Showcourse v
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DisciplineMTH

Actuarial Mathematics II

4 credits

Showcourse v
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Mathematics of Inferential Statistics

4 credits

Showcourse v
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Short-Term Mathematics

4 credits

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Short-Term Mathematics II

4 credits

Showcourse v
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Introductory Financial Mathematics

4 credits

Showcourse v
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Data Analysis and Simulation for Financial Engineers

4 credits

Showcourse v
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Stochastic Calculus for Finance

4 credits

 

 

 

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

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Intermediate Micro-Economics

3 credits

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Intermediate Macro-Economics

3 credits

...

A student majoring in financial mathematics cannot minor in mathematics or declare a second major in statistics.

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finmthlgs
finmthlgs

Program Learning Goals

Upon completion of the major in Financial Mathematics, students will be able to:

...

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financial mth major reqs
financial mth major reqs

Major Course Requirements
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
Showcourse v
CourseNumber2610
DisciplineMTH
and
Showcourse v
CourseNumber3010
DisciplineMTH
)
8 credits

Showcourse v
CourseNumber3050
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
Showcourse v
CourseNumber2610
DisciplineMTH
)

4 credits
Showcourse v
CourseNumber3010
DisciplineMTH
Calculus II 4 credits
Showcourse v
CourseNumber3050
DisciplineMTH
Multi-Variable and Vector Calculus4 credits
 

 or

 
Option 3:  
Showcourse v
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Calculus I4 credits
Showcourse v
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Calculus II4 credits
Showcourse v
CourseNumber3050
DisciplineMTH
Multi-Variable and Vector Calculus4 credits
 or 
Option 4:  

Showcourse v
CourseNumber2205
DisciplineMTH
/
Showcourse v
CourseNumber2206
DisciplineMTH

Applied Calculus3 credits
or  
Showcourse v
CourseNumber2207
DisciplineMTH
Applied Calculus and Matrix Applications4 credits
and the following three courses:  
Showcourse v
CourseNumber3006
DisciplineMTH
Integral Calculus4 credits
Showcourse v
CourseNumber3030
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Analytic Geometry and Calculus II5 credits
Showcourse v
CourseNumber3035
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Vector Calculus *1 credit
 or 
Option 5:  
Showcourse v
CourseNumber2205
DisciplineMTH
/
Showcourse v
CourseNumber2206
DisciplineMTH
Applied Calculus3 credits
Showcourse v
CourseNumber2207
DisciplineMTH
Applied Calculus and Matrix Applications4 credits
and the following three courses:  
Showcourse v
CourseNumber3006
DisciplineMTH
Integral Calculus4 credits
Showcourse v
CourseNumber3007
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Infinite Series1 credit
Showcourse v
CourseNumber3050
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Multi-Variable and Vector Calculus *4 credits
 or 
Option 6:  
Showcourse v
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Analytic Geometry and Calculus I5 credits
Showcourse v
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Analytic Geometry and Calculus II5 credits
Showcourse v
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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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Principles of Accounting 3 credits

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Micro-Economics3 credits
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Macro-Economics3 credits

BSFM students are not required to complete the following FIN 3000 course prerequisites: BUS 1000/1011; CIS 2200; and STA 2000. Please consult the Weissman Associate Dean's Office (WSAS.AssocDean@baruch.cuny.edu; 646-312-3890; VC 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
Showcourse v
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Linear Algebra 3 credits
Showcourse v
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Numerical Methods for Differential Equations

4 credits

Showcourse v
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Introduction to Probability *4 credits

Showcourse v
CourseNumber4125
DisciplineMTH

Introduction to Stochastic Processes4 credits

Showcourse v
CourseNumber4130
DisciplineMTH

Mathematics of Data Analysis (formerly Mathematics of Statistics)

4 credits

Showcourse v
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Algorithms, Computers, and Programming II3 credits

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

Showcourse v
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DisciplineMTH

Stochastic Calculus for Finance3 credits

* Students who have completed

Showcourse v
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DisciplineMTH
cannot enroll in MTH 4120. They must satisfy the probability requirement by registering for
Showcourse v
CourseNumber4119
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 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, MTH 3010, MTH 3020, MTH 3030, or MTH 3050, and any other 3- or 4- or 5-credit mathematics course numbered 3000 or higher with the exception of

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(which is 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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,
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, and
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(which may not be used as a capstone course). This minor is not open to students who are pursuing a major in statistics.

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Repeat for Mastery
Repeat for Mastery

Repeat for Mastery (Precalculus) and Calculus Prerequisite Changes

This pilot program, which consists of two parts, will run as an experiment for academic years 2018-2019 and 2019-2020.

...

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Courses in Mathematics (MTH)

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Intermediate and College Algebra4.5 hours; 2 credits

showcourse

MTH 1030

College Algebra

4 hours; 2 credits

showcourse

MTH 2003

Pre-calculus and Elements of Calculus

4 hours; 3 credits

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Precalculus4.5 hours; 3 credits

showcourse

MTH 2120

Mathematics Appreciation

3 hours; 3 credits

showcourse

MTH 2140

Mathematics and Quantitative Reasoning

4 hours; 3 credits

showcourse

MTH 2160

Ideas in Mathematics and Their Applications

4 hours; 3 credits

showcourse

MTH 2205

Applied Calculus

4 hours; 3 credits

showcourse

MTH 2206

Applied Calculus

3 hours; 3 credits

showcourse

MTH 2207

Applied Calculus and Matrix Applications

4 hours; 4 credits

showcourse

MTH 2301

Concepts of Discrete Mathematics

3 hours; 3 credits

showcourse

MTH 2610

Calculus I

4 hours; 4 credits

showcourse

MTH 2630

Analytic Geometry and Calculus I

5 hours; 5 credits

showcourse

MTH 3006

Integral Calculus

4 hours; 4 credits

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Infinite Series1 hour; 1 credit

showcourse

MTH 3010

Elementary Calculus II

4 hours; 4 credits

showcourse

MTH 3020

Intermediate Calculus

4 hours; 4 credits

showcourse

MTH 3030

Analytic Geometry and Calculus II

5 hours; 5 credits

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Vector Calculus1 hour; 1 credit 

showcourse

MTH 3040

Actuarial Seminar: R for Actuaries

2 hours; 2 credits

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Multi-Variable and Vector Calculus4 hours; 4 credits

showcourse

MTH 3100

Selected Topics in Discrete Mathematics

3 hours; 3 credits

showcourse

MTH 3120

Elementary Probability

3 hours; 3 credits

showcourse

MTH 3300

Algorithms, Computers, and Programming I

4 hours; 3 credits

showcourse

MTH 3901

Actuarial Science Internship

1 hour; 1 credit

showcourse

MTH 3902

Actuarial Science Internship

1 hour; 1 credit

showcourse

MTH 3903

Actuarial Science Internship

1 hour; 1 credit

showcourse

MTH 3904

Actuarial Science Internship

1 hour; 1 credit

showcourse

MTH 3905

Math Internship

1 hour; 1 credit

showcourse

MTH 3906

Math Internship

1 hour; 1 credit

showcourse

MTH 3907

Math Internship

1 hour; 1 credit

showcourse

MTH 3908

Math Internship

1 hour; 1 credit

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

showcourse

MTH 4005

Problem-Solving Seminar

3 hours; 3 credits

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Proof Writing for Mathematical Analysis

(formerly Proof Writing for Advanced Calculus)

1 hour; 1 credit

showcourse

MTH 4010

 Mathematical Analysis I

3 hours; 3 credits

showcourse

MTH 4020

Advanced Calculus II

3 hours; 3 credits

showcourse

MTH 4030

Topology

3 hours; 3 credits

showcourse

MTH 4100

Linear Algebra and Matrix Methods

3 hours; 3 credits

showcourse

MTH 4110

Ordinary Differential Equations

3 hours; 3 credits

Showcourse v
CourseNumber4115
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Numerical Methods for Differential Equations in Finance4 hours; 4 credits
Showcourse v
CourseNumber4119
DisciplineMTH

Multivariate Probability Distributions

1 hour; 1 credit 

showcourse

MTH 4120

Introduction to Probability

4 hours; 4 credits

showcourse

MTH 4125

Introduction to Stochastic Processes

4 hours; 4 credits

showcourse

MTH 4130

Mathematics of Data Analysis (formerly Mathematics of Statistics)

4 hours; 4 credits

showcourse

MTH 4135

Computational Methods in Probability

4 hours; 3 credits

showcourse

MTH 4140

Graph Theory

3 hours; 3 credits

showcourse

MTH 4145

Mathematical Modeling

3 hours; 3 credits

showcourse

MTH 4150

Combinatorics

3 hours; 3 credits

showcourse

MTH 4200

Theory of Numbers

3 hours; 3 credits

showcourse

MTH 4210

Elements of Modern Algebra

3 hours; 3 credits

showcourse

MTH 4215

Finite Fields, Algebraic Curves, and Applications

3 hours; 3 credits

showcourse

MTH 4230

History of Mathematics

4 hours; 4 credits

showcourse

MTH 4240

Differential Geometry

3 hours; 3 credits

showcourse

MTH 4300

Algorithms, Computers, and Programming II

4 hours; 3 credits

showcourse

MTH 4310

Methods of Numerical Analysis

3 hours; 3 credits

showcourse

MTH 4315

Introduction to Mathematical Logic

4 hours; 3 credits

showcourse

MTH 4320

Fundamental Algorithms

4 hours; 3 credits

showcourse

MTH 4340

Switching Theory

3 hours; 3 credits

showcourse

MTH 4395

Special Topics in Computer Science

3 hours; 3 credits

showcourse

MTH 4400

Finite Differences

4 hours; 4 credits

showcourse

MTH 4410

Theory of Interest

4 hours; 4 credits

showcourse

MTH 4420

Actuarial Mathematics I

4 hours; 4 credits

showcourse

MTH 4421

Actuarial Mathematics II

4 hours; 4 credits

Showcourse v
CourseNumber4430
DisciplineMTH
Mathematics of Inferential Statistics4 hours; 4 credits

showcourse

MTH 4451

Short-Term Insurance Mathematics (formerly Risk Theory)

4 hours; 4 credits

Showcourse v
CourseNumber4452
DisciplineMTH
Short-Term Insurance Mathematics II4 hours; 4 credits

showcourse

MTH 4500

Introductory Financial Mathematics

4 hours; 4 credits

Showcourse v
CourseNumber4600
DisciplineMTH
Data Analysis and Simulation for Financial Engineers4 hours; 4 credits 

showcourse

MTH 5000

Independent Study I

Hours and credits to be arranged

showcourse

MTH 5001

Independent Study II

Hours and credits to be arranged

showcourse

MTH 5002

Independent Study III

Hours and credits to be arranged

showcourse

MTH 5003

Independent Study IV

Hours and credits to be arranged

showcourse

MTH 5004

Independent Study V

Hours and credits to be arranged

showcourse

MTH 5010

Advanced Calculus III

3 hours; 3 credits

showcourse

MTH 5020

Theory of Functions of a Complex Variable

3 hours; 3 credits

showcourse

MTH 5030

Theory of Functional of Real Variables

3 hours; 3 credits

showcourse

MTH 5100

Partial Differential Equations and Boundary Value Problems

4 hours; 4 credits

Showcourse v
CourseNumber5500
DisciplineMTH
Stochastic Calculus for Finance4 hours; 4 credits

showcourse

MTH 6001H

Honors in Mathematics I

Hours and credits to be arranged

showcourse

MTH 6002H

Honors in Mathematics II

Hours and credits to be arranged

showcourse

MTH 6003H

Honors in Mathematics III

Hours and credits to be arranged

...