Search
William L.'s Photo

William L.

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

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

$80/hour

5.0 (536 ratings)

  • 2,157 hours tutoring

About William

Bio

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 can present these ideas in several different ways. So if one way of looking at a problem doesn't work for you, I can find others! I remember my...

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 can present these ideas in several different ways. So if one way of looking at a problem doesn't work for you, I can find others! I remember my own experience learning math and have worked with many students in the past, so I am very patient and willing to try a variety of approaches.

I hold a bachelor's degree from UChicago and a doctorate from MIT, both in mathematics. I am available to tutor Latin, physics, and all levels of math. Outside of academics, I am an avid tournament chess player, and I enjoy running and cycling.

From my experience teaching math to a range of students, from middle school through college, I know that it does not come easily to everyone. However, I firmly believe that everyone has the capability for mathematical reasoning. Everyone has their own strengths and challenges, and my job as a tutor begins with identifying these. I like to have students work through problems while I guide them and make suggestions, so that I can get a sense of what they understand and what they don't. Then we can build on their knowledge and break down the challenging parts of the problem into smaller, more manageable chunks.

Read more

Education

University of Chicago
Mathematics, physics
M.I.T. (Massachusetts Institute of Technology)
PhD

Policies

Schedule

Loading...

Sun

Mon

Tue

Wed

Thu

Fri

Sat

Subjects

Business

GMAT, GRE

Corporate Training

Latin,

Latin

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

Statistics

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.
GMAT

Elementary Education

Elementary Math

Homeschool

Algebra 1,

Algebra 1

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,

Algebra 2

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.
Calculus,

Calculus

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.
Physics,

Physics

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,

Precalculus

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!
Statistics,

Statistics

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.
Geometry, Prealgebra

Language

Latin

Latin

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

Math

Algebra 1,

Algebra 1

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,

Algebra 2

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.
Calculus,

Calculus

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.
Differential Equations,

Differential Equations

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,

Discrete Math

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,

Finite Math

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.
Linear Algebra,

Linear Algebra

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.
Physics,

Physics

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,

Precalculus

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!
Probability,

Probability

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.
Statistics,

Statistics

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.
Trigonometry,

Trigonometry

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.
Geometry, Prealgebra

Most Popular

Algebra 1,

Algebra 1

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,

Algebra 2

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.
Calculus,

Calculus

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.
Physics,

Physics

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,

Precalculus

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!
Statistics,

Statistics

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.
Geometry, Prealgebra

Science

Physics

Physics

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.

Sports/Recreation

Chess

Chess

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.

Summer

Algebra 1,

Algebra 1

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,

Algebra 2

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.
Calculus,

Calculus

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.
Physics,

Physics

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.
Statistics,

Statistics

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.
GED, Geometry

Test Preparation

ASVAB, GED, GMAT, GRE

Examples of Expertise

William has provided examples of their subject expertise by answering 1 question submitted by students on Wyzant’s Ask an Expert.

See all of William ’s answers ›

Ratings and Reviews

Rating

5.0 (536 ratings)
5 star
(525)
4 star
(9)
3 star
(2)
2 star
(0)
1 star
(0)

Reviews

Show reviews that mention

All reviews

Highly recommend! Fantastic tutor!

William was an absolutely fantastic tutor. I met with William several times to prepare for my final exam in an advanced college linear algebra class. William is incredibly knowledgeable and his clear, concise explanations were exactly what I needed. It was especially impressive because I never had to send messages ahead of time giving him specific concepts or problems I wanted to review. No matter what topic I brought up, William had the answers. Highly recommend A+++.

Judy, 6 lessons with William

Knowledgeable and patient tutor

William was very patient, helpful, knowledgeable on diff equation subject and problems. Also, responded promptly and tutored with limited advance notice. He is also very technology savvy - also appreciated! Absolutely planning to set up more regular tutor schedule! Thank you!

Ginger, 51 lessons with William

Knowledgeable and Helpful with Linear Algebra

He allowed me to learn at my pace and taught accordingly. He was very clear with explanations and ensured that every step towards the solution had a purpose and was correct. I enjoyed my first session a lot!

Nathan, 1 lesson with William

Patient and Supportive Tutor!

I started taking a discrete math class that previous students said was very hard. Once I started the class, I knew I needed help. It is very hard to find a math tutor who is good at explaining discrete math concepts because the class is a smorgasbord of loosely related math subjects. Thankfully I found William. He is great at taking abstract concepts and breaking them down into easier step-by-step processes. As well, he is very patient and supportive. If you’re taking discrete math, I can’t recommend William enough!

Todd, 30 lessons with William

Great Tutor

William is a fantastic tutor, who explained some tough concepts in terms I could understand. He also worked with me through some tricky problems, and showed me a few new tools for evaluating multivariable limits.

Darcy, 11 lessons with William

Very helpful tutor

William was extraordinarily helpful. He helped me break through a mental logjam that had plagued me for months. about an obscure area of abstract algebra. When I again need a tutor, I will use William.

Greg, 2 lessons with William

Fantastic

William was a fantastic tutor. He was patient and was able to put concepts into easy to understand terms. I was able to finish the material with a clear understanding. I would recommend him for anyone needing assistance with linear algebra. I will be back for my other Masters courses.

Nathan, 1 lesson with William

Gets you there

William was great - focused on the aspects of the problem I did not understand and explained the concept from a different perspective to help comprehension. Excellent support and glad he's in my corner.

Shawn, 5 lessons with William

Very knowledgeable - great tutor!!!

William helped me prepare for an exam in my multivariable calculus class. I was able to ask specific questions and get exactly the help I needed. I would highly recommend him to anyone looking for math help, particularly in complex areas.

Tommy, 3 lessons with William

William is great for Set Theory!

I have had a few sessions with William on Set Theory and he is always a great and knowledgeable tutor. His explanations are thorough and clear. Would definitely recommend William for Set Theory.

Petr, 5 lessons with William
Contact William

Response time: 6 hours

$80/hour

William L.'s Photo

William L.

$80/hour

  • No subscriptions or upfront payments

  • Only pay for the time you need

  • Find the right fit, or your first hour is free

Contact William

Response time: 6 hours