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Brooklyn College/CUNY (Master's)
CUNY Graduate School (PhD)
I have 15 years experience teaching Mathematics at the High School and early College level. In High School, I have taught Algebra 1, Geometry, Algebra 2, Trigonometry, Precalculus and Calculus. In College, I have taught Precalculus and Calculus. During this time, I have extensive experience working with my students in conference hours on an individual and small group basis, as well as individual outside tutoring.
It is important, when tutoring, to have a thorough knowledge of the subjects being reviewed. I have a B.A. in Mathematics, with honors, and a Ph.D. in Computer Science, with specialization in applications of Mathematics. However, it is equally important to reach students at their level of understanding. I always focus on finding, and then improving, my students' understanding of the basic concepts of their course. I try to illuminate what is essential, and what should be more readily grasped once the essential material is mastered. I have 15 years experience teaching Mathematics at the High School and early College level. In High School, I have taught Algebra 1, Geometry, Read more
Elliott is a truly exceptional tutor! He is nice, polite, and funny. He was very patient with me and had the ability to explain hard concepts well. The homework Elliott gave me was always appropriate. He would answer any questions that I had, whether they were about the hw, my Calculus class, or something we were going over together. He always arrived on time and it was easy to schedule appointments with him. He even stayed over time to go over as much material as needed.
Elliott helped me go from being a struggling Calculus student to getting a 5 on the AP Calculus AB exam, in just 3 months! Thanks to him, I now understand math much better and it even became one of my favorite subjects.
Elliot has been helping my son -a 9th Grader- with his Math for a couple of months now. He is easy to understand and takes time to explain methods of solving problems. He is very dedicated and makes math look easy. Elliot is always on time and flexible when needed. He has a calm demeanor which clicks well with my son's personality. My son enjoys working with him.
I never worry about my change of plans when it comes to Elliott. He is flexible and works with my schedule constantly and will move around his plans if I am really desperate for some tutoring (especially before final exams!). He helps me just enough so I am doing the problems independently until he sees it is time for him to step in!
Many people know math, but Elliott also knows how to teach and to make tough subjects easily graspable. An hour with Elliott is hugely helpful, money very well spent.
Thank you for your tremendous help, Elliot. Both of my children benefited greatly from the work you did with them in calculus and trigonometry. A+++ to you!!
Elliott has been great. His area of expertise is Calculus and he has been super helpful for my daughter. He responds very quickly to emails, always arrives on time, and knows the material very well.
My son is doing great in pre calculus, "I just wanted to pass this class but since I started seeing Elliot I am confident to get an A in the finals" He mentioned to me last night. I owe you a lot for all you do for my family, thank you and God Bless You
Elliot is absolutely prepared on whatever Math subject is needed and is extremely dedicated to tutoring. Even if we schedule 1 hour lesson, he would stay almost 2 hour just to finish the points he planned to teach.
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Algebra 1 begins with learning to translate verbal phrases into symbols. This leads to the topic of formulas and equations. In particular, proportions are solved and linear and quadratic equations are solved and graphed. Along the way, factoring polynomials and properties of square roots are introduced.
It is customary to include some introductory Geometry topics, such as the Pythagorean theorem. Additionally, Probability is introduced, including Permutations and Combinations, and an introduction to Statistics.
The quadratic formula is presented, along with an introduction to complex numbers.
The laws of exponents are extended to the cases of zero, negative and fractional exponents.
The idea of a function and its inverse is introduced.
Extensive use is made of exponential and logarithmic functions, including graphing and solving equations. Applications include compound interest problems and radioactive decay.
Additional topics include the geometric series and the binomial theorem.
The derivative is presented in terms of the instantaneous rate of change and as the slope of the tangent to a curve. The integral is presented as an area function. The fundamental theorem of Calculus, relating derivatives and integrals, is demonstrated by analyzing the rate of change (derivative) of the area function (integral).
Techniques of differentiation are introduced, with applications to maximum/minimum problems and curve sketching. Integrals are applied to calculating volume as well as area. Derivatives and integrals of trigonometric, exponential, and logarithmic functions are studied, with an introduction to differential equations.
Special integration techniques, including substitution, integration by parts and partial fractions are studied.
After reviewing the basic concepts of Geometry, including lines, angles, and triangles, the focus of the course is proof. An essential concept is that of congruence, and methods of proving that triangles are congruent are introduced.
Applications are made to quadrilaterals, including parallelograms, rectangles, squares and trapezoids.
The concept of similar triangles is introduced. leading to a proof of the Pythagorean theorem.
The geometry of the circle and an introduction to three dimensional geometry is included.
Additionally, coordinate geometry is reviewed, and then applied as a proof method, with frequent use of transformation geometry.
Precalculus prepares students for a first course in Calculus, as well as introducing topics that will be needed in other Mathematics courses.
In preparation for a first course in Calculus, polynomial and rational functions are graphed, conic sections are analyzed, and limits are illustrated with the tangent line and area problem.
In preparation for Linear Algebra, systems of linear equations are analyzed using matrices and determinants, and three dimensional coordinate geometry is introduced, including vectors.
In preparation for the further study of Algebra, the representation of complex numbers using polar coordinate is presented, and the fundamental theorem of Algebra is introduced, illustrated using DeMoivre's formula for the nth roots of unity.
The trigonometry of the right triangle is introduced, including the basic functions sine, cosine and tangent and their cofunctions. Radian measure of angles is presented, and the trigonometric functions are defined for arbitrary angles. The trigonometric functions are graphed, with a discussion of their amplitude, period and phase shift. Inverse trigonometric functions are introduced.
The laws of cosine and sine are proved and applied to solving triangles.
Basic trigonometric identities are proved, including half angle and double angle identities.
Elliott L. passed a background check on 12/18/13. The check was ordered by another user through First Advantage. For more information, please review the background check information page.
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