Advanced Courses

 

Course

Prerequisites (Flow Chart)

Offered (Course Rotation)

Algebra and Number Theory (x1xx):

  • 3120: Elementary Number Theory
  • 3125: Linear Algebra II
  • 4121: Introduction to Abstract Algebra I
  • 4122: Introduction to Abstract Algebra II

 

  • 2971
  • 2971, 2184/2185
  • 2971, 2184/2185
  • 4121

 

  • Spring, even years
  • Spring, odd years
  • every Fall
  • Spring, even years

Analysis (x2xx):

  • 3257: Introduction to Complex Variables
  • 4239: Real Analysis I
  • 4240: Real Analysis II

 

  • 2233, 2184/2185, 2971  
  • 2971
  • 2233, 2184/2185, 4239

 

  • Fall, even years
  • every Fall
  • every Spring 

Applied Mathematics (x3xx):

  • 3342: Ordinary Differential Equations
  • 3343: Partial Differential Equations
  • 3359: Introduction to Mathematical Modeling

 

  • 2184/2185,2233
  • 3342
  • 3342, programming experience

 

  • every Fall
  • every Spring
  • every Spring 

Math Applications (x4xx):

  • 3410: Mathematics of Finance
  • 3411: Stochastic Calculus Methods in Finance 

 

  • 2233 
  • 3410

 

  • every Fall
  • every Spring

Computation and Numerical Analysis (x5xx):

  • 3553: Introduction to Numerical Analysis

 

  • 2233 

(2184/2185 and programming experience are recommended) 

 

  • every Fall 

Combinatorics and Graph Theory (x6xx):

  • 3613: Introduction to Combinatorics
  • 3632: Introduction to Graph Theory

 

  • 2971
  • 2971

 

  • Fall, odd years
  • Spring, odd years

Mathematical Logic (x7xx):

  • 3710: Introduction to Mathematical Logic
  • 3720: Axiomatic Set Theory
  • 3730: Computability Theory
  • 3740: Computational Complexity

 

  • 2971
  • 2971
  • 2971
  • 2971 

 

  • Fall, even years
  • Fall, odd years
  • according to demand, Spring   
  • according to demand, Spring

Topology/ Geometry (x8xx):

  • 3806: Introduction to Topology
  • 3848: Differential Geometry

 

  • 2971
  • 2233, 2184/2185, 2971 

 

  • Spring, odd years
  • Spring even years 

In addition to the courses listed above, we regularly offer undergraduate courses on special topics and an extensive range of graduate courses, delving more deeply into the branches of mathematics to which the above courses provide an introduction. Some of these graduate courses may be taken, with permission, for credit toward an undergraduate degree.