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Caltech Math Tutor | Math Is a Language, Let’s Get Fluent!
Chris M.

1,213 hours tutoring

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About Chris


Bio

Hello! I'm Chris. I’m an Applied Math major at the California Institute of Technology (Caltech). Over the past 2+ years now, I’ve tutored hundreds of students in all levels of math ranging from arithmetic to calculus. I’ve worked with students both one-on-one and in groups, and both in-person and online.

Math has always been my strong suit. In high school, I took AP Calculus my freshman year and achieved a 5 on the AP exam. In my junior and senior years, I took math classes at a community...

Hello! I'm Chris. I’m an Applied Math major at the California Institute of Technology (Caltech). Over the past 2+ years now, I’ve tutored hundreds of students in all levels of math ranging from arithmetic to calculus. I’ve worked with students both one-on-one and in groups, and both in-person and online.

Math has always been my strong suit. In high school, I took AP Calculus my freshman year and achieved a 5 on the AP exam. In my junior and senior years, I took math classes at a community college (dual enrollment) because I ran out of math at my high school. Before beginning Caltech, I took the SAT Subject Test in Math Level 2 and scored a perfect 800.

As a tutor, I make math simple for my students. Math classes can feel so complicated because they build on top of themselves. For example, the most common reason why students struggle in Calculus 1 is that they don't know algebra. As a tutor, I make sure students have a solid math foundation so they're prepared for new math.

Another common reason why math can seem hard is the language. There are so many confusing words and symbols. Many of us have had that experience in class where we look at the board and everything just looks like a sea of symbols. That's the language of math, and a crucial part of my job is teaching it to students. Students excel at math when they're fluent in its language.

Motivation is a struggle for many people as well because a lot of math seems unnecessary and pointless (hence the famous question, "When am I going to use this when I grow up?"). The truth is, though, nearly everything in high school math and typical college math can be used in real life very simply. I aim to show this to my students. It makes math feel real.

I am excited to work with new students. If you're interested, please contact me and I'll get back to you quickly!


Education

California Institute of Technology (Caltech)
Applied Math

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Approved Subjects

Calculus

Calculus

I tutor AP Calculus AB, AP Calculus BC, Calc 1, and Calc 2. Calc 2 is widely considered the hardest of all Calculus classes, mainly because of the integration. For a lot of college graduates in STEM, integrals are the hardest math topic they have ever learned. Integrals are my specialty. I am an expert at integration techniques, such as: - u-substitution/change in variables - integration by parts (including tabular integration by parts/the DI method/rapid integration by parts/the tic-tac-toe method) - integrals requiring trig identities (and I know why certain trig identities work for certain integrals; I haven’t just memorized what to do) - trig substitution - partial fraction decomposition - other simplification techniques that aren’t talked about very much, like completing the square and polynomial division And perhaps most importantly, I know when to do which. If you're interested in working with me, please send me a message and I'll get back to you quickly!
Linear Algebra

Linear Algebra

I know row operations (i.e. putting a matrix in reduced row echelon form/Gauss-Jordan elimination), matrix arithmetic, vector arithmetic, vector spaces and subspaces, bases, linear transformations, and eigenvectors. If you're interested in working with me, please send me a message and I'll get back to you quickly!
ACT Math
Algebra 1
Algebra 2
Geometry
Precalculus
SAT Math
Trigonometry
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Ratings and Reviews


Rating

5.0 (409 ratings)
5 star
(400)
4 star
(7)
3 star
(1)
2 star
(0)
1 star
(1)

Reviews

Knowledgeable and patient tutor

An injury in sports kept me at home for more than a week. My hardest class this year, AP Precalc, didn’t wait on me and when I came back I had missed an entire unit. This was especially troubling because of the classes fast moving pace which left me far behind everyone else. Luckily, Chris helped me get back to a comfortable spot in that class and even ahead of the curb. He teaches in a way that just makes sense and breaks down hard concepts into manageable chunks. Can’t express my thanks enough for all the help.

Stacey, 2 lessons with Chris

Knowledgeble and patient tutor

Chris taught AP Calculus BC for my kid. He is very knowledgable and professional too. My kid always felt relaxed after the class, her confidence increased. Je explained everything very patiently. He is a very good tutor.

Pranathi, 20 lessons with Chris

My son really enjoys working with Chris.

We really appreciate Chris' help. My son's teacher doesn't explain the steps very well (and her notes are even worse), so he had been struggling. Chris has helped my son understand the math and his grades are much improved.

Philip, 8 lessons with Chris

Smart, kind, and helpful tutor in SAT math

We appreciate Chris' help for my daughter to improve on her math for the SAT. He is smart and kind. We are looking forward to cooperating with him more. Thank you Chris!

Spring, 9 lessons with Chris

Knowledgeable and helpful tutor

My son found Chris very helpful and easy to learn from. The fact that he enjoyed the session will help him keep focused on the work. Very much appreciate Chris's knowledge and ability to communicate it to my son.

Michael, 3 lessons with Chris

Awesome Tutor

My kid is very happy with this tutor, we are trying Calculus AB classes, we are planning to take many classes and will try classes related to SAT.

Sonika, 15 lessons with Chris

knowledgeable and patient

Since my kid started with Chris, we see her grade improving and her confidence is coming back. She just took PSAT after Chris reviewing with her. We are so happy to hear that she felt comfortable with the test as her math foundation was not that good. We sure continue to have lessons with Chris.

Cindy, 10 lessons with Chris

Very relaxed. Very intelligent.

Chris helped with some last minute SAT math tutoring for my daughter. Chris was very relaxed and patient he was very knowledgeable and really helped my daughter understand what she was studying. I highly recommend him.

Stephanie, 3 lessons with Chris

Great math tutor

Great tutor, explained things well and helped my daughter better understand her math material! He was punctual and followed up with making new lesson appointments in a timely manner.

Angelina, 7 lessons with Chris

Great tutor!

He explains the concepts in an understandable way. He was able to break down each step so my student could understand how each step of the problems fit. He was very patient and took the time to explain each problem thoroughly.

Sandra, 4 lessons with Chris