Nicholas A. Cook

I am a third year graduate student in the Mathematics Department at UCLA.

Contact

Email: nickcook at math dot ucla dot edu
Office: Mathematical Sciences, 6147
Office Hours Winter 2013: Tuesday 11:30-12:30, Thursday 12:30-1:30.

Interests

Analysis and probability.
Random matrix theory in particular.

Notes

• Two proofs of Wigner's semicircular law, for participating analysis seminar (Spring 2012).
  The two proofs are 1) via the moment method, and 2) via the Stieltjes transform.
• Talagrand's inequalities and applications, for participating analysis seminar (Fall 2011) and concentration of measure seminar (Spring 2012).
• Analysis qualifying exam, problem hints and solution sketches. Joint with Will Feldman, Alan Mackey and Brent Nelson. I briefly tried tidying this up and filling in some details, but decided it's probably best that the student studying for the exam fill in the details herself. I have been told there is at least one incorrect solution, so stay alert!

Teaching

Winter 2012: Math 245B Real Analysis, Professor Terence Tao. OH Tu 11:30-12:30, Th 12:30-1:30.

Weak convergence implies strong convergence in l^1 handout.
A qualifying exam problem with 1) a fast solution, and 2) a closed graph theorem solution: Winter 2002 #5.

Fall 2012: Math 245A Real Analysis, Professor John Garnett. Course handout.

Solutions to selected homework problems (the exercises are from Terry Tao's measure theory text).

Summer 2012: Math 115A Linear Algebra, Dr. Blake Hunter. Course webpage.
Spring 2012: Math 171 Stochastic processes, Professor Marek Biskup. Course webpage.
Winter 2012: Math 170B Probability, Section 2, Professor Lincoln Chayes. Course webpage.
Fall 2011: Math 33A Linear Algebra, Professor Rowan Killip.
Spring 2011: Math 33A Linear Algebra, Professor Alan Laub.
Winter 2011: Math 33B Differential Equations, Professor Bruce Rothschild.
Fall 2010: Math 32A Multivariable Calculus, Dr. Mario Micheli.

Tutoring

I tutor high school and college level math!

• High school: all, with experience tutoring Algebra I and II, geometry, precalculus and calculus.
• Standardized tests: SAT I/II, AP
• UCLA math courses: 3ABC, 31AB, 32AB and 33AB.

I can meet on campus or drive to meet you. My rate is $60/hour, though I may charge a little more depending on the drive.
For UCLA students I can also tutor small groups at a reduced rate, so bring your classmates! 2 students: $80/hr, 3 students: $100/hr.