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Private Math Tutoring on ALL LEVELS!
Promise to show “beyond the cookbook” solutions for any problem --- real understanding is the key!
While “cookbook methods” will work on some sample problems, they will not work on real tests!
My real specialty is Advanced Statistics, but I also love pretty much all other areas in Math: Algebra, Calculus, Geometry as well as more advanced areas (like Linear Algebra, Multivariate Calculus, etc.)
Here is a nice example of a problem which does not require any advanced math, but still just as interesting:
find: S = 1+ 2 + 3 + … 998 + 999 + 1000?
Solution is replace all the additions with ONE MULTIPLICATION!
My actual tutoring experience includes a number of students of various levels and abilities. I've had some middle-school students who needed help with simple fractions and I've also helped some college students who were taking the advanced statistics classes. I've also ran "Math Circle" at the Middle School, helping to introduce kids to math beyond textbook and study some "unusual math problems".
My approach is to ensure that the student really understands the subject matter. It's always better to go slow so that the student is not overwhelmed by too much new material. It's also great when a particular problem can be analyzed in a number of different ways which will "converge" on the same answer. In addition, I like to assign some of my own homework which will hopefully make student think about some of the concepts in a "deeper way". I also really like and try to emulate the approach of Gilbert Strang from MIT (great professor of Linear Algebra). His approach is to ask the right questions and guide students towards the logical answers. He also uses lots of numerical examples so that students are not "scared of letters".
I am an experienced actuarial science instruction with a master's degree in Financial Math and certification from SOA.
Probability distributions, conditional probabilities, expectations, moment generating functions; we cover it all...
Understanding Differential Equations is an integral part of the my Financial Math degree.
In fact, Black Scholes equation is really a partial differential equations which is "one step higher" as compared to the Ordinary Differential Equations.
In addition, I've taken classes have expertise in the following types of ODE's:
--- ODE's with "separable variables"
--- first-order linear ODE's
--- linear homogeneous and non-homogeneous ODE's
--- systems of linear first order ODE's
Linear Algebra is a big part of Risk Management and Portfolio Construction in Financial Math. In addition to my MS in FinMath from University of Chicago, I've also passed the final exam in Advanced Risk and Portfolio Management Bootcamp.
Estimating covariance matrix and diagonalizing it via eigenvectors and their eigenvalues is an exercise which I've done many times in the past.
Another area which comes up many times in Financial Math and inseparably related to Linear Algebra is Regression Analysis, i.e. x_hat = (A_t*A)^(-1) * (A_t*b).
Yet another area of my expertise (and also connected to Financial Math) is the notion of positive definite matrix (like covariance matrix) or positive semi-definite matrix. This is closely related to calculating the variance of the portfolio via Var = x_t*sigma*x (the idea that covariance matrix is positive definite is the same as stating that portfolio could not possibly have negative variance, no matter what the weights of the constituent securities are). This is also related to the idea of symmetric matrices and why their eigenvalues have to be real (easily shown with linear algebra equations).
I've been using Matlab for over eight years since I started my master's degree in financial math at University of Chicago.
Since then, I've done numerous projects in Matlab both academically and professionally while working as a Desk Quant at Hedge Funds.
In many ways, properly using and understanding Matlab parallels my knowledge of linear algebra.
Once one understands how to set up a problem using vectors and matrices, Matlab makes it easy to "take it from there".
Great tutor, very experienced, a real cheerleader — While my daughter was studying for the AP Statistics exam she realized she needed help getting a handle on the volume of the material and some of the concepts. She had gotten 2's on her practice exams. Igor was able to assess where she needed help and diligently worked with her to understand the concepts she was weak in. He was very patient and was able to teach her things in a way she could bette ...
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