David M.

Orange, CA


Making Calculus easy as Pi!!!

In-person lessons
1000+ Hours
4.9 average from 403 ratings
Great Tutor
— Stacie, Garden Grove, CA on 2/22/14


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California Institute of Technology


California Institute of Technology (Physics)

About David

I suspect I've come to an understanding of mathematics unlike just about anyone you might have met. I could discuss it endlessly, and in as much depth as any audience would allow. The benefit of this to any math student would be that they will find my patience profuse, my eagerness to clarify its techniques tireless, my ingenuity unparalleled in creating the most illuminating metaphors for its intentions and its practices to those ends. I love mathematics, and while I don't imagine I'll make you love it too, I suspect that together we can make you see it to be as plain and obvious as tying shoelaces or as careless as chewing gum.

My education provided me an introduction to and required quite a command of fairly advanced mathematics. As such, I've developed a robust catalog of responses to "What on Earth does anybody use this for?," as well as a great sympathy for the frustrating, slow process that is comprehension. I imagine you'll find me the guy you just can't ask TOO MANY questions of, because I'll always have a response. I'll see it as just another road to show where we can go with your studies.

My priority in arranging tutoring sessions is the comfort and convenience of the student. I am available to provide at-home instruction, but if your time commitments require something a bit less traditional, like say, meeting at a coffeehouse or a library, I'm willing to be flexible.
I suspect I've come to an understanding of mathematics unlike just about anyone you might have met. I could discuss it endlessly, and in as much depth as any audience would allow. The benefit of this to any math student would be that they will find my patience profuse, my eagerness to clarify its techniques tireless, my ingenuity unparalleled in Read more

24 hours notice required
Travel Radius
Travels within 19 miles of Orange, CA 92868
Background Check: Passed
In-person lessons

"Great Tutor"

- Stacie, Garden Grove, CA on 2/22/14

"Very knowledgeable and teaches solving methods very efficiently"

- Dean, Irvine, CA on 6/24/17

"Strong Command in Calculus BC"

- Kevin, Anaheim, CA on 3/24/17

"Highly knowledegable and professional"

- Rosa, Norwalk, CA on 12/6/16

"Awesome Tutor"

- Jose, Downey, CA on 9/25/16

"Knowledgeable tutor"

- Mary, Yorba Linda, CA on 3/12/16

"Great College Calculus Tutor"

- Denis, Whittier, CA on 3/6/16

"Great tutor"

- Michele, Anaheim, CA on 9/30/15

"David is a great tutor and really helps you learn and succeed in whatever class you are taking. Definitely recommend him to anyone looking for extra help!!"

- Matt, Irvine, CA on 8/7/15

"Great Tutor!"

- Vannessa, Newport Beach, CA on 10/11/14

"Great Tutor"

- Amany, Rancho Santa Margarita, CA on 6/25/14

"Great tutor!"

- Ruby, Stanton, CA on 5/24/14

"I'll Call Him Again!"

- Andrea, Santa Ana, CA on 4/26/14

"Great tutor."

- Jacob, Laguna Niguel, CA on 11/28/13

"Very thorough."

- Lisa, Fullerton, CA on 10/29/13

"Awesome GRE tutor! Highly recommend!"

- Shelby, Placentia, CA on 6/15/13
Test Preparation:
ACT Math,
SAT Math

Approved subjects are in bold.

Approved subjects

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.

ACT Math

Standardized exams such as the ACT require an expertise with a variety of topics in mathematics. With the thousands of hours I've spent with students in the individual subjects, such as probability or trigonometry, I find it inspiring to demonstrate the interdependency of these various methods. I work with the most challenging sample problems from practice exams and incorporate exercises from the specific courses to reinforce a given student's command of the fundamental ideas. While I find many concepts are quite similar to those covered when I have provided tutoring for more advanced testing (like the Quantitative Reasoning portion of the GRE), I am very familiar with a softer approach necessary for students whom are new to the topics, for whom a greater supply of context will facilitate their comprehension and ensure their success.

Algebra 1

Majoring in the Engineering Sciences in college has reinforced my command of Algebra. After an extensive study of the methods of Calculus, Algebra becomes sort of like your ABCs of higher mathematics. I've spent my thousands of hours of tutoring experience assuring everyone of the necessity of a strong command of algebraic solution techniques--completing the square, linear systems of equations, the distance formula--because of their ubiquity in higher mathematics. The most elegant aspect of mathematics for me is this very empirical structure; higher mathematics is a set of ideas that will eventually break down every problem into an algebra problem, so that every second you spend solving a problem in higher math eventually puts you right back into these essential topics as they are covered in introductory Algebra--or, if you're a nerd like me, the rational properties of the Real Number Line and its axioms of measure in Parabolic Geometries.

Algebra 2

I believe most students will find the second part of Algebra to be a welcome return to ideas introduced to them before Geometry. Most of my thousands of hours of experience as a tutor has been centered on the topics encountered in this subject. From my education in Physics, I have come to believe that essentially all mathematical analysis will reduce to the algebraic expressions studied in this subject, and I believe a sturdy base of comprehension of it will be fundamental to all students who seek a university education in Engineering of any kind. It also introduces the larger part of those advanced topics covered in standard tests, from the SAT to the MCAT to the GRE.


Calculus is the natural language of the sciences--it's very foundations run parallel to most every significant discovery in Physics. I've worked with dozens of students across a number of educational settings: last semester's AP Calculus BC students worked with me on their way to scoring all 5s (which I must admit, made me very proud of all seven of them!); I worked with students in Business Calculus at UCLA, USC, and UCI, as well as a number of online programs; I've worked with dozens of students in their dreaded 'Calculus 3' courses, helping them to conquer ideas like gradients, normals, and surface integrals on their way to completing their mathematics requirements for degrees in a variety of applied science majors. Whether we're testing series for convergence, or assembling infinitesimal elements to compute areas or volumes, I try to focus on illuminating the abstract ideas behind the methods, so that students can finally silence any anxiety, and begin to consider mathematics their most reliable ally.

Differential Equations

I've worked with dozens of engineering students to discuss the solution of so-called First Order Ordinary Linear Differential equations, using integrating factors and applying existence-uniqueness properties to identify particular solutions; First Order Separable Differential Equations, utilizing concepts in partial differentiation, and other Non-Linear forms utilizing Bernoulli's method; and Second Order Ordinary Differential equations with constant coefficients, where their non-homogeneous forms require an introduction to the so-called annihilator method for assembling solutions. Many of these ideas generalize to the more elegant method of the Laplace Transform, which represents one of the most useful methods in analysis to a number of engineering disciplines.


Geometry instruction for most students begins with strange objects like lines and triangles. Proofs often seem especially confusing. My expertise derives from my studies in the physical sciences, which require a frequent application of geometric analysis (Einstein famously needed only the Pythagorean Theorem to illustrate Special Relativity). I like to give students concrete examples of the utility of the techniques, show them why proving certain ideas is so important.


Most of the tutoring I have provided for this subject has been focused on the quantitative reasoning portion of the GRE. I find most students require instruction for the verbal section like a an athlete needs conditioning exercises--mnemonics to aid their vocabulary skills, practice analogies, a primer for concepts in proper grammar. To that end, my role is usually that of a strict coach, monitoring them doing their mental sit-ups and push-ups. I find most students are weakest in their comprehension of those topics covered in the quantitative reasoning section. Their majors of university study usually have not included much mathematics instruction. To this end, my background in the Physical Sciences excels as a preparatory credential. I can offer students numerous examples to illustrate the test topics, enriching their confidence by solidifying their comprehension through context.

Linear Algebra

Linearly Independent Vector Spaces may seem like overly pedantic arrows, but they actually represent one of the most powerful abstractions necessary for higher studies in mathematics. Even if a Linear Operator's Characteristic Equation doesn't seem straightforward, we can work on bridging an understanding of Gram-Schmidt Orthonormalization. and finding Eigenvectors as many times as it takes to reveal how useful these techniques can be. I've worked with students in Mechanical Engineering, Civil Engineering, and other applied sciences, from a number of universities, like USC and UCI, to impart that expertise provided to me by my education in Physics,


My university education included the Hamiltonian formulation of Classical Mechanics, the Maxwell Field Equations description of Electromagnetism, and non-Relativistic Quantum Mechanics. However, most of the tutoring sought after by students in this subject will not require such involved mathematics. My approach is normally to engage students in more accessible examples of simpler models in Introductory Physics. The more popular AP subject examination attempts a broad rather than deep assessment of a student's command of the techniques of investigation of physical phenomena, and I prefer to interpret those techniques into something more intelligible to students than what they may receive during their lectures. The most common mistake we make upon our first encounter with the subject is to mistake it as a set of formulas that can be blindly applied to a situation. Physics seems to me more of a sturdy, strange, sometimes stunningly elegant set of new insights into the machinery of reality, an introduction to the intuition and motives of a wonderful creation. I like to think that this approach makes the subject more vital, more appealing, more useful than most of the topics students normally encounter in their education.


Whether it's the study of Conic Sections and their standard equations, the use of the Permutations or Combinations formulae to count sample spaces in introductory Probability, or an introduction to Sequences, Series, and the Limiting Process, Precalculus mathematics tend to confuse most students because of the eclectic array of topics. My background in the Physical Sciences has equipped me with an effective and inexhaustible supply of examples, illustrations of the utility of these analytic tools and techniques that come from a mastery of the subject. I've led select groups of students at private tutoring academies through year-long enhancement courses, and prepared individualized summer study programs for a number of clients, and now WyzAnt will let me bring these hundreds of hours of experience with this topic to you!

SAT Math

I've worked with dozens of students to create individualized study programs for the SAT, and led classroom discussions for effective solution techniques, stressing the importance of and the connectedness of the fundamental mathematics topics covered by this exam. I've worked for hundreds of hours with students to prepare for the additional challenges of the associated Level 1 and Level 2 Subject exams, as well.


I've worked with dozens of students in AP Statistics, many of whom participated in courses led by AP Statistics test designers from the College Board. I've worked with university-level students at UCLA, USC, CSULB, and CSUF, from a variety of academic disciplines like Nursing, Finance, and Biochemistry. The utility of this subject's ideas is not lost on me, and I'm eager to improve any student's command of hypothesis testing, linear regression, and Chi-squared fit testing.


Trigonometry is, to me, the introduction of the potency of geometric analysis. At last, students will find those concepts from algebra and geometry unified into some type of analytic tool. From the mystifying exercises of Proving Trigonometric Identities to the seemingly odd habits of Modifying Periodic Functions, I expect students will sense an intimidating breed of techniques compose this subject. Here, my familiarity with methods like Fourier Analysis and its underlying theory (like Parseval's theorem and L2 convergence) excels at providing me the necessary insight to assist any student with any question that may occur to them.

California Institute of Technology


California Institute of Technology (Physics)

Great Tutor

David has helped my 12th grade student in her AP calculus class. He has been very accommodating with scheduling and has even made himself available on short notice. I highly recommend him. David continues to instill confidence in my daughter, and I will continue to use his tutoring services in the future. Thanks David.

— Stacie, Garden Grove, CA on 2/22/14

Hourly rate

Standard Hourly Rate: $60.00

Cancellation: 24 hours notice required

Travel policy

David will travel within 19 miles of Orange, CA 92868.