Electives

Electives are usually selected from the 5000 level courses offered by the Mathematics Department or from a specific field outside of mathematics that student wishes to emphasize.

• Mathematics

  In addition to the courses listed on the sample plans of study above a student wanting additional mathematics courses should consider the following courses.

  • Modern Algebra I & II (Math 4613, Math 5013) Math 4613 counts as a 5000 level course.
  • Intermediate Probability Theory (Math 5113 or Stat 5113)
  • Stochastic Processes (Math 5133 or Stat 5133 or Inden 5133)
  • Fourier Analysis (Math 5213)
  • Ordinary Differential Equations II (Math 5253)
  • General Topology (Math 5303)
  • Differential Geometry (Math 5413)
  • Calculus of Variations and Optimal Control (Math 5523)
  • Automata and Finite State Machines (Math 5653 or Comsc 5653)
  • Computability and Decidability (Math 5663 or Comsc 5663)
• Computer Science  

  For the student who wants to enhance his knowledge of computer science suggested electives are

  • Computer Graphics (Comsc 4143)
  • Computer Networks (Comsc 4283)
  • Operating Systems I (Comsc 4323)
  • Data Structures and Information Processing (Comsc 4343)
  • Linear Programming (Comsc 5013 or Inden 5013)
  • Computer Organization and Architecture (Comsc 5113)
  • Formal Language Theory (Comsc 5313)
  • Operating Systems II (Comsc 5323)
  • Automata and Finite State Machines (Math 5653 or Comsc 5653)
  • Computability and Decidability (Math 5663 or Comsc 5663)
• Statistics

  For the student whose interests include Statistics suggested electives are  

  • Statistical Analysis System (Stat 4091)
  • Probability Theory (Stat 4113)
  • Statistical Inference (Stat 4223)
  • Multivariate Methods (Stat 5063)
  • Intermediate Probability Theory (Math 5113 or Stat 5113)
  • Stochastic Processes (Math 5133 or Stat 5133 or Inden 5133)
  • Real Analysis I (Math 5143)
  • Experimental Design (Stat 5303)
  • Linear Model Theory I & II (Stat 5323, Stat 5333)
  • Multivariate Analysis (Stat 5513)
• Operations Research

  For a student with some knowledge of statistics (Stat 4033) and an interest in operations research the following electives are suggested.  

  • Operations Research (Inden 4014) This is a basic prerequisite for many courses in Industrial Engineering. Most of the same material is covered in Linear and Nonlinear Optimization (Math 4553) and Combinatorial Mathematics (Math 4663).
  • Linear Programming (Inden 5013 or Comsc 5013)
  • Sequential Decision Processes and Dynamic Programming (Inden 5032)
  • Stochastic Processes (Math 5133 or Stat 5133 or Inden 5133)
  • Network Modeling Analysis (Inden 5643)
  • Decision Making Models for Multi-objective Analysis (Inden 5913)
  • Nonlinear and Integer Optimization (Inden 6023)
  • Queuing Systems: Theory and Manufacturing Applications (Inden 6123)
• Mathematics of Finance

  For a student with some knowledge of economics (Econ 2013 and 2023 or Econ 3113 and 3123), accounting (Acct 2103) and finance (Fin 3113) and an interest in economics and finance the following electives are suggested.

  • Financial Accounting and Analysis (Acct 5103)
  • Econometric Methods (Econ 4213)
  • Business and Economic Forecasting (Econ 4223)
  • Microeconomic Theory I (Econ 5123)
  • Macroeconomic Theory I (Econ 5133)
  • Mathematical Economics I (Econ 5223)
  • Financial Markets and Institutions (Fin 4113)
  • Financial Management (Fin 4333)
  • Risk Management (Fin 4613)
  • Investment Theory and Strategy (Fin 5223)
  • Futures and Options (Fin 5763)

For students with background in other areas such as physics, chemistry, engineering or the biological sciences electives in those areas can be selected from courses carrying graduate credit after consultation with an advisor or faculty member in the area.