ME Graduate ProgramsPh.D. Qualifying Exam Description
Mathematics
Duration:
2 hours
Closed book / Closed Notes
Topics covered:
Differential and
integral calculus of one or more variables
Vector algebra /
vector calculus
Ordinary
differential equations and Laplace transforms
Sequences and
series
Linear Algebra
Topics NOT covered:
Partial
differential equations
Nonlinear
differential equations
Numerical
methods (other than basic numerical differentiation and integration outlined
in most calculus books)
Suggested texts:
Calculus --
"Calculus," by James Stewart; "Calculus and Analytical Geometry," by Edwards
and Penney; or, similar text
Differential Equations -- "Elementary Differential Equations and
Boundary Value Problems," by Boyce and DiPrima; or, similar text
Linear Algebra --
"Elementary Linear Algebra," by Edwards and Penney; or, similar text
Logistics of exam:
3-4 problems
Calculators
allowed (no cell phones, Blackberries, etc.)