
Master the GRE subject math advanced methods module with less common topics and exam problems, using tricks to solve faster, practicing under two and a half minutes per problem.
Explore advanced linear algebra concepts: eigenvalues and polynomials of matrices, minimal vs characteristic polynomials, invertibility via adjugate and determinants, basis changes, and orthogonality of eigenvectors.
Explore irreducibility in polynomials with integer coefficients, apply Eisenstein's criterion for monic polynomials to test reducibility, and relate irreducibility in Z to irreducibility in Q and roots.
Analyze advanced topics in topology, analysis, and graph theory, including connected spaces, totally disconnected spaces, measurable sets, Cantor sets, graph isomorphism, and complex analysis concepts like winding numbers and residues.
PDF files containing full simulating practice exams.
This course is a prep course for the GRE Subject exam in Mathematics. If you wish to apply for a grad program in math, statistics and such, this exam is required.
This is the eighth module and includes advanced methods and examples needed in order to excel in the more challenging problems of the exam. More importantly, the course teaches techniques for solving problems FAST (since in the exam you will have 2.5 min per question - very little time).
We will go over the following topics:
The course is designed to review all that is necessary to get you up to speed and get you solving real exam problems. Content covered in the previous modules is assumed.
See the free intro lecture to get more details.
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