$50/hour

5.0
average from
66
ratings

“**Fantastic and helpful tutor**”

Hi, my name is Grant. I graduated from the California Institute of Technology in 2014 with a Bachelor of Science degree in Applied and Computational Math. After graduation, I was recruited as the Robotics Program Developer at the Pasadena Educational Foundation, serving middle schools across Pasadena, California. I moved to eastern Pennsylvania at

Grant is approved to conduct lessons through Wyzant Online. Wyzant Online allows students and tutors to work remotely via video, audio, and collaborative whiteboard tools. For more information about how online tutoring works, check out Wyzant Online.

If you’re interested in online lessons, message Grant to get started.

Grant has been a great tutor. He's extremely knowledgeable and is able to help with whatever you throw at him. I would recommend him to anyone looking for a tutor

Grant tutored me in Calculus. He is an exceptional tutor. He knows the subject so well and knows how to explain it. He is very punctual for his appointments and is very flexible.

During our first tutor session, he helped me go over material on the math portion of the PSAT. There were some mistakes I couldn't find on my own that he helped me find, and he taught me new concepts I didn't know before. He really knows what he teaches.

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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 1 was the last subject I explored in my homeschool math curriculum before transitioning to an actual junior high class in 7th grade. I tested into an Algebra 2 class with high school students at that point, which reinforced and built upon the topics I had learned in my last few months of home schooling. I've helped numerous students with Algebra 1 over the years I've been tutoring. I've found that Algebra 1 is often a significant turning point in a student's math studies, in that the introduction of concepts such as variables and functions and the math you can do with them seem completely foreign compared to what they've done before. However, Algebra 1 is foundational for every math subject that comes after it, so it's important that these concepts are grasped firmly by the student.

Upon transitioning from homeschool to junior high in 7th grade, I tested into an Algebra 2 class that was otherwise populated by high school students. Since it was my first actual math class with other students, it was a great learning experience for me in how to not act like a know-it-all, and help my fellow students with patience and understanding. I've had many great teachers over the years, but the teacher for that Algebra 2 class really instilled in me a love of sharing my knowledge with others.

I first took a class in differential equations at a local community college while I was a junior in high school. I helped one of my classmates improve his understanding of the material over the second half of the semester. At the California Institute of Technology, I learned about more techniques, both numerical and analytic, used to solve various types of differential equations.

Discrete math is a broad term for the study of mathematical objects that are discrete (i.e. separate or countable) by nature. Examples include integers, graphs, sets, and sequences. I took a series of classes at Caltech in discrete math, which were some of the best classes I had there because they covered such a range of topics, including logic, combinatorics, and number theory. These topics permeate many of the subjects I've tutored.

Finite math is closely related to discrete math, in that both are subjects involving a wide variety of topics, such as matrix algebra, linear programming, and probability. The difference between them is that discrete math is a collection of topics involving discrete objects (integers, sets, graphs, etc), while finite math has to do with topics which don't involve infinity or infinitesimals (so no calculus topics). A lot of topics which could be considered components of finite math were part of the standard curriculum at Caltech, and afterwards worked their way into subjects I tutored.

Many students I've worked with have been of the opinion that Geometry is primarily about the mathematics of shapes and figures (triangles, quadrilaterals, polyhedra, sets of intersecting lines, and so on). I believe the more valuable concepts in Geometry have to do with logical, proof-based reasoning skills, as these can be applied to other subjects as well. Being able to start with a set of given facts and theorems, and use them to prove or disprove a given hypothesis, is useful not only in theoretical domains, but everyday life as well. This was the theme of the Geometry class I had in 8th grade, and it served me well when I got to the more rigorous and proof-based classes at Caltech.

The class in differential equations that I took while I was a junior in high school included a component of linear algebra, and showed the intricate connection between the two subjects. This component of linear algebra, as it pertained to solving differential equations, was part of what I helped my first student with. One of my classes at Caltech was solely dedicated to the study of linear algebra, as a more theoretical concept. However, topics in linear algebra such as vector spaces and matrix manipulation applied themselves in a more concrete way to many of my other classes there.

I first had a formal logic class in high school, which focused more on the language aspect of logic than the mathematical side of it. As part of the series of classes I took in discrete math at Caltech, there was an entire term dedicated to the math of logic, how to manipulate syllogisms, relationships, and other kinds of logical statements with mathematical precision. This in turn helped me tutor proof-based subjects such as geometry.

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Patient and Flexible Caltech Math Tutor