$50/hour

4.9
average from
9
ratings

“**RATING WILLIAM L. ABILITY TO TEACH CALCULUS**”

I am available to tutor any area of mathematics: arithmetic, algebra, geometry, trigonometry, calculus, statistics, linear algebra, differential equations, etc. I can also help with more advanced college-level topics. My experience with advanced mathematics gives me insight into how different mathematical concepts are connected, which means that I

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William's ability to teach concepts and ensure content was well received. He is an exceptional tutor. He is patient, provides good feedback anda very pleasant individual. A true role model for what a tutor should exemplify.

Math:

Algebra 1,
Science:

Physics
Test Preparation:

Computer:

Computer Programming, Computer Science, Linux, MATLAB
Language:

Latin
Special Needs:

Elementary Education:

Business:

Sports/Recreation:

Chess
Approved subjects are in **bold**.

In most cases, tutors gain approval in a subject by passing a proficiency exam. For some subject areas, like music and art, tutors submit written requests to demonstrate their proficiency to potential students. If a tutor is interested but not yet approved in a subject, the subject will appear in non-bold font. Tutors need to be approved in a subject prior to beginning lessons.

Algebra, geometry, and trigonometry are fundamental to more advanced topics in math, so I use them every day. I can explain the concepts and how to use them to solve problems.

Algebra 2 is fundamental to so much of mathematics. I've used it in every math class I've taken and in my own independent work. But I remember when I was learning the topic myself, and so I know some ways of making the topic make sense by relating it to other areas of math and to real-world situations.

In high school, I took introductory calculus classes focused on calculating derivatives and integrals. I continued studying calculus in college and learned the theory behind calculus of a single variable and of several variables. At UChicago, I taught classes in multivariable calculus. I have also studied physics and can explain the relationships between calculus and that subject, especially electricity and magnetism.

I'm a tournament chess player who has an Expert-level rating from the US Chess Federation. I've played thousands of tournament games. I'm available to analyze games with students and for help with specific techniques.

I've taken courses in differential equations from both abstract and concrete points of view. Because of this, I can explain both methods of solving particular differential equations and theorems about the existence, uniqueness, and behavior of equations of certain types. I have experience teaching the subject, having worked as a teaching assistant for the introduction to differential equations course at MIT.

Discrete math is a wide subcategory of mathematics which can include logic, set theory, combinatorics, graph theory, game theory, and other topics. I took several courses in these areas in high school and college and excelled in them. I can help students understand the concepts and construct mathematical proofs in these areas.

Finite math includes a range of topics that vary from course to course but may include matrix algebra; introductory combinatorics, probability, and statistics; linear programming; and symbolic logic. I have taken courses in all of these topics in the process of earning a degree in math, and I have taught them to students from middle school through college.

I studied Latin in middle school and high school. I earned a perfect score on the ACL/NJCL National Latin Exam four times.

Matrices and linear transformations, the principal concepts of linear algebra, are essential to many areas of mathematics. I have studied them in courses including multivariable calculus (the idea of linear functions is essential to this topic), abstract algebra (where you learn that matrices can be put into certain standard forms), and functional analysis (a generalization of linear algebra to "infinite matrices"). In addition to explaining how to do calculations in linear algebra, I can also help you with the underlying mathematical theory when that would be useful for your purposes. I hold a bachelor's degree from UChicago and a doctorate from MIT, both in mathematics.

In college, I took classes in mechanics, electricity and magnetism, thermodynamics, and quantum mechanics as part of a physics major. I can help make sense of any of those topics.

Precalculus can include a range of topics from fields such as algebra, geometry, and trigonometry, as well as some introductory calculus concepts like limits. I excelled in all of these classes in school, and I use them all the time in higher-level math work. I can help you understand any of these precalculus concepts and use them successfully to solve problems!

I studied probability and statistics in college as part of a math major. Some of the topics I can help with include combinatorics and counting arguments, calculating statistical properties of a sample, and random variables and probability distributions.

I studied probability and statistics in college as part of a math major. Some of the topics I can help with include combinatorics and counting arguments, calculating statistical properties of a sample, and random variables and probability distributions.

I use trigonometry all the time because it's fundamental for understanding shapes and because it ties in to all areas of math. I have taught it as part of various classes such as algebra, calculus, and geometry.

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MIT PhD for Tutoring in Math, Physics, and Other Fields