The culmination of this program is a year-long course of numerical analysis that shows how the mathematical and programming skills can be applied to problems arising in scientific and engineering practice. 

Learning Outcomes

By the time of graduation, students should have acquired the following skills:

• Proficiency in basic computational methods in calculus, algebra, and differential equations.
• Facility with computer-aided computations.
• Understanding of the basic rules of logic and proficiency in using them.
• The ability to derive general principles from examples.
• The ability to formulate mathematical conjectures and to test them.
• The ability to complete mathematical proofs.
• The ability to relate mathematical concepts to problems arising in other disciplines.
• The ability to represent problems and ideas precisely in mathematical terms.
• The ability to identify facts and techniques relevant to a given problem, and proficiency in using them to solve the problem.
• Comprehension of the general framework of mathematical research; an understanding of the role of axioms, assumptions, theorems, proofs, and conjectures.
• The ability to present clearly mathematical concepts, statements, and arguments