Master of Arts in Mathematics

Mathematics plays an essential part in every area of modern technology. Recognizing this diverse and important role of mathematics, the department of mathematical sciences offers a very flexible Master of Arts in mathematics program built on a core of basic courses and a wide range of specialized electives.

By the proper selection of electives, a degree candidate may train for work as a systems analyst for a management consulting firm, a statistician for a drug corporation, an operations research analyst, a high school teacher, a two-year college teacher, a candidate for a doctoral program in mathematics, an actuary for an insurance company or for a number of other careers in mathematics.

A sample degree program indicating a possible selection of electives related to particular areas of mathematics can be obtained from the mathematical sciences department.

Degree Requirements

Each student is required to complete thirty (30) credit hours including:

  • Two Courses in Analysis: For example Advanced Calculus (MAT 7600), Topics in Analysis (MAT 7605)
  • MAT 9000 Graduate Math Seminar (3 credits): Supervised study of selected topics in mathematics with presentations by individual students. Content may be chosen by the instructor or may be tailored to the interests of students. This course is generally taken at the end of the program.
  • Electives: To facilitate the design of an appropriate course of study, the seven elective courses may be chosen from the following list or, with the approval of the Master of Arts in mathematics committee, from any of the other graduate programs.
  • MAT 7290 - Geometry
  • MAT 7300 - History of Mathematics
  • MAT 7305 - Technology in the Teaching of Math
  • MAT 7310 - Topics in the Teaching of Math 
  • MAT 7600 - Advanced Calculus
  • MAT  7605 - Topics in Analysis
  • MAT 7610 - Complex Analysis
  • MAT 7660 - Linear Algebra
  • MAT 7670 - Mathematical Logic
  • MAT 7750 - Numerical Analysis I
  • MAT 7755 - Numerical Analysis II
  • MAT 7770 - Number Theory
  • MAT 7780 - Financial Mathematics
  • MAT 7790 - Dynamical Systems & Chaos
  • MAT 8430 - Operations Research
  • MAT 8435 - Mathematical Modeling
  • MAT 8600 - Real Analysis
  • MAT 8650 - Abstract Algebra
  • MAT 8655 - Topics in Algebra
  • MAT 8700 - Topology I
  • MAT 8705 - Topics in Topology
  • MAT 8740 - Applied Math I
  • MAT 8745 - Applied Math II

Advisement and Selection of Courses

Students must check the date on the Graduate Calendar to learn when registration begins for the following semester. If students want to discuss the courses they plan to take, they should contact their advisor, Dr. David Sprows, Director of the Mathematics Graduate Program, at 610.519.7339. Students should contact their advisor for their Registration Pin numbers each semester. Upon approval of their courses, the pin numbers will be sent via email. Students should register only for those courses that are appropriate to the status in the Mathematics program.

Sample Programs

To help students who wish to choose courses with a particular interest or concentration in mind, the following sample programs have been drawn up:

Pre-Ph.D Training

  • MAT 7600 - Advanced Calculus 
  • MAT 7605 - Topics in Analysis 
  • MAT 7610 - Complex Analysis 
  • MAT 7660 - Linear Algebra 
  • MAT 8600 - Real Analysis 
  • MAT 8650 - Abstract Algebra 
  • MAT 8655 - Topics in Algebra 
  • MAT 8700 - Topology I 
  • MAT 8705 - Topics in Topology

Junior College Teaching

  • MAT 7290 - Geometry 
  • MAT 7404 - Statistical Methods I 
  • MAT 7600 - Advanced Calculus 
  • MAT 7605 - Topics in Analysis 
  • MAT 7610 - Complex Analysis 
  • MAT 7660 - Linear Algebra 
  • MAT 7670 - Mathematical Logic 
  • MAT 8430 - Operations Research 
  • MAT 8650 - Abstract Algebra 
  • MAT 8655 - Topics in Algebra

Applied Mathematics

  • MAT 7600 - Advanced Calculus 
  • MAT 7605 - Topics in Analysis 
  • MAT 7660 - Linear Algebra 
  • MAT 7610 - Complex Analysis 
  • MAT 7750 - Numerical Analysis I 
  • MAT 7755 - Numerical Analysis II 
  • MAT 8430 - Operations Research 
  • MAT 8435 - Mathematical Modeling 
  • MAT 8740 - Applied Math I 
  • MAT 8745 - Applied Math II

Statistics, Probability and Operations Research

  • MAT 7404 - Statistical Methods I 
  • MAT 7405 - Statistical Methods II 
  • MAT 7600 - Advanced Calculus 
  • MAT 7605 - Topics in Analysis 
  • MAT 7660 - Linear Algebra 
  • MAT 7750 - Numerical Analysis I
  • MAT 8400 - Statistical Theory I 
  • MAT 8401 - Statistical Theory II 
  • MAT 8430 - Operations Research 
  • MAT 8435 - Mathematical Modeling 
  • MAT 8462 - Stochastic Processes

Did You Know

In 1956, Villanova University's department of mathematics inaugurated the Master of Arts in the mathematics program. One question which often arises about this program is why it is called a Master of Arts rather than a Master of Science. The most likely explanation is that two years earlier, in 1954, the department had begun to offer a Master of Science in applied statistics. The existence of the Master of Science in applied statistics has proven to be beneficial to the Master of Arts in mathematics because it allows mathematics students to take courses such as statistical theory as electives.

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