Computational Track

Thesis option

1. Requires a minimum of 32 credit hours, at least 16 of which must be in mathematics (excluding MATH 691 credits).
2. There must be a 10 credit hours core of required mathematics courses consisting of the following:
   • Each of the following:
     • MATH 609 (Numerical Analysis) or MATH 610 (Numerical Methods in Partial Differential Equations);
     • MATH 647 (Mathematical Modeling).
   • At least one of the following:
     • If not already used for above requirement: MATH 610 (Numerical Methods in Partial Differential Equations);
     • MATH 639 (Iterative Techniques);
     • MATH 648 (Computational Algebraic Geometry);
     • MATH 660 (Computational Linear Algebra).
3. There must be at least 6 credit hours of core mathematics electives. Suggested courses include:
   • MATH 607 (Real Variables I);
   • MATH 611 (Introduction to Ordinary and Partial Differential Equations I);
   • MATH 613 (Graph Theory);
   • MATH 615 (Introduction to Classical Analysis);
   • MATH 617 (Complex Variables I);
   • MATH 630 (Combinatorics);
   • MATH 641 (Analysis for Applications I);
   • MATH 651 (Optimization I);
   • MATH 653 (Algebra I);
   • MATH 661 (Mathematical Theory of Finite Element Methods);
   • MATH 676 (Finite Element Methods in Scientific Computing);
   • MATH 679 (Mathematical Algorithms and their Implementations).
4. There must be at least 9 credit hours in a coordinated minor.
5. This leaves 7 of 32 credits to be chosen in consultation with the student's advisor. A maximum of 6 credit hours of MATH 691 (Research) may be included in the degree plan.
6. Each student must write a thesis.

Non-Thesis option

1. Requires a minimum of 36 credit hours, at least 19 of which must be in mathematics.
2. There must be a 10 credit hours core of required mathematics courses consisting of the following:
   • Each of the following:
     • MATH 609 (Numerical Analysis) or MATH 610 (Numerical Methods in Partial Differential Equations);
     • MATH 647 (Mathematical Modeling).
   • At least one of the following:
     • If not already used for above requirement: MATH 610 (Numerical Methods in Partial Differential Equations);
     • MATH 639 (Iterative Techniques);
     • MATH 648 (Computational Algebraic Geometry);
     • MATH 660 (Computational Linear Algebra).
3. There must be at least 9 credit hours of core mathematics electives. Suggested courses include:
   • MATH 607 (Real Variables I);
   • MATH 611 (Introduction to Ordinary and Partial Differential Equations I);
   • MATH 613 (Graph Theory);
   • MATH 615 (Introduction to Classical Analysis);
   • MATH 617 (Complex Variables I);
   • MATH 630 (Combinatorics);
   • MATH 641 (Analysis for Applications I);
   • MATH 651 (Optimization I);
   • MATH 653 (Algebra I);
   • MATH 661 (Mathematical Theory of Finite Element Methods);
   • MATH 676 (Finite Element Methods in Scientific Computing);
   • MATH 679 (Mathematical Algorithms and their Implementations).
4. There must be at least 12 credit hours in a coordinated minor.
5. This leaves 5 of 36 credits to be chosen in consultation with the student's advisor.