Is this sufficient mathematical preparation for PhD in Economics

[MemphisMIke]

Hi Everybody,

I'm preparing to apply to PhD programs in Economics for Fall 2013. I have basic calculus as an undergraduate and an MA in Development Economics from an Italian University, both good GPAs. In order to beef up my math credentials I took a 9 credit course at an Italian University called "mathematical economics" which covered the following topics:

(translated w/ google, sorry for some awkwardness)

"Linear Algebra. Vector spaces, norm and inner product in n-dimensional spaces, linear dependence and independence, dimension, bases, rank, matrices, matrix algebra, inverse matrix, symmetric matrix, determinant, characteristic or rank of a matrix, systems of linear equations; solutions, homogeneous systems, eigenvalues​​, eigenvectors, eigenspace, the power of a matrix, diagonalization of matrices, eigenvalues ​​of symmetric matrices, the property 'of the eigenvalues​​.

Basic topology, defined functions between Euclidean spaces, graphs, contour lines, linear functions, quadratic functions, continuous functions, concave functions and convex functions.

Multivariate calculus. Partial derivatives, differential derivative along a curve, directional derivative and gradient, higher order derivatives, the Hessian matrix, Schwartz theorem.

Implicit functions. Definitions, comparative statics, inverse function theorem

Quadratic forms. Definitions, a sign of quadratic forms, principal minors of a matrix.

Free and constrained optimization. Definitions, conditions of the first order, second-order conditions, equality constraints, inequality constraints, method of substitution, the Lagrange method, conditions of the second order optimization for convex functions.

Ordinary differential equations. Definitions and examples; exact differential equations with separable variables, exact equations, homogeneous equations, Malthusian growth model, a model of logistic growth, second-order linear equations (homogeneous or not); general theorem of existence and uniqueness' of the solution; field of directions.

Systems of differential equations: generalities; two-dimensional systems, linear systems: eigenvalues ​​through decisive method, method of substitution, stationary states and their stability"

This was a beast of a course, and I got an 87%. It's sort of mixed bag of topics from Cal II-III, Linear Algebra, and ODE courses. I also have a perfect score from an econometrics class during the MA. How do you think this will look to admission offices and is it sufficient for survival?

Thanks,

Michael

[TheFez]

PhD programs in econ will want the following:

3 semesters of calculus, 1 semester linear algebra, 1 semester real analysis (big plus), 1 semester diff eqs. is nice but not essential., some stats courses - one or two.

A math for econ course will not get the same acceptance as the above courses from a math department.

In addition a good math GRE score (>160)