u california, Berkeley (PhD)
U Chicago (MBA)
I like to help people learn. I focus on improving problem-solving strategies and understanding of fundamental concepts. I succeed with bright students and students with special learning issues because I am attentive to each student's learning styles. I am a class teacher and senior tutor at a premium educational services firm.
Mathematics and Physics:
I tutor many areas of math and physics at the high school, college, and graduate levels.
I earned a BS in math with minor in economics at MIT and a PhD in math-physics at Berkeley (NSF fellow). I have been an R&D scientist at General Electric, where I helped solve design and manufacturing problems. I built mathematical simulations in many areas of engineering physics: stress and thermal analysis (of metal-glass-ceramic systems), optics, acoustics, and plasma physics; also manufacturing cost analysis. I won a Technical Achievement Award, published over 2 dozen internal technical reports, and four papers in refereed journals.
I gave seminars on engineering and physics at GE R&D. Comment from a research scientist: "You obviously missed your calling (in teaching)."
I tutor, finance, economics, marketing, operations analysis, and strategy.
I earned an MBA in finance with minor in marketing at U Chicago. I have worked as a manager or consultant in eight businesses in the Fortune 100, including GE headquarters and two divisions, and as a consultant with McKinsey & Co., where the head of industrial consulting rated me "the best analyst in the Firm." I have served as general manager or president of three mathematical and business analysis software businesses.
I tutor the GMAT and other tests. I teach skills and knowledge tailored to each test area. I like to help people learn. I focus on improving problem-solving strategies and understanding of fundamental concepts. I succeed with bright students and students with special learning issues because I am attentive to each student's learning styles. I am a class teacher and senior tutor at a premium educational services firm.
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Will tutor 2 students together for the price of 1, if students are at comparable levels. Recommend minimum 90 minutes per session, to minimize travel and set-up time as a percent of total.
Richard is a very patient and methodical tutor. He takes the time to assess strengths and weaknesses and puts a plan together to fix the root cause of weaknesses. He has shown my daughter that you need to understand why you do things a certain way as well as how to do it. My daughter now truly understands the "why" as well as the "how." He has given her the ability to think abstractly. She can now look at a problem and understand it at a high level as well as carry out the detailed computations required to solve it. This has helped her in more than just the AP Calculus class he is tutoring her in.
Richard has helped my 10 yea-old daughter as well as son (14 years old). He prepared my daughter to get high score in Math in SSAT. He has taught my son high school math & physics and prep for AMC. My kids really got benefit from his tutoring. Richard is a very knowledgeable and experienced tutor. He can discuss and teach anything that my kids want to learn in math and physics field. Especially I want to thank him for connecting me to MIT where I was able to get a computer science tutor for my son. Thank you so much, Richard, and keep up the good work!
I worked with Richard for 2 hours and he went above and beyond with assisting me. He was able to answer all my questions, provide amazing points for my economics debate, and help me craft it! He has such a passionate understanding of history, economics, and politics! It's truly a pleasure to work with someone who really enjoys what he does. If I could give Richard anything above a 5, I would!
Richard was a great help to our college student daughter with understanding Linear Algebra after she missed a lot of class time due to illness.
Highly recommend. Intelligent, knowledgeable, patient, and considerate, Richard is one of the best math teachers I've ever met. With his help, I was able to tackle concepts that I found intimidatingly abstract. He also provided insights not only on the subject matter but also the field and methods of learning. I appreciate his help very much.
This kind feedback is from a student studying math at MIT.
Richard assisted me in studying for my Entrepreneurship and Strategy courses. He patiently and enthusiastically helped me in analyzing various cases and other projects. He was very knowledgeable about doing financial and strategic analysis and always provided additional insights about the topics that we discussed during our lessons. Thanks to him I was able to excel in both courses and got a top grade in each of them. I would definitely recommend Richard to anyone who needs help with a business course.
Richard is an extremely helpful tutor who's knowledge seems to have no boundaries. While tutoring my son in the SAT Subject Math Level 2 Test, Richard identified many of my son's problems in mathematics while simultaneously increasing his interest in the subject. For example, my son had a problem with translating words into mathematics. By carefully analyzing the content of each problem. Richard helped my son turn words into equations. My son will be taking the SAT Subject Math Level 2 Test in October, and I am confident he will do extremely well. This is, without a doubt, a result of Richard's dedicated and methodical teaching.
I am extremely pleased with Richard as my sons tutor He is extremely knowledgable in many areas. I am confident that my son will excel in his honors pre calculus with Richards guidance.
My first lesson with Richard was great. Despite the fact that I hadn't completed work prior to his arrival, we were able to work through a number of problems. Additionally I began to see the way of thinking that I'll need to adopt in order to succeed on the GMAT.
Richard was very patient and listened well to the work I presented to him. He understood what I was trying to do and gave very useful suggestions on how to move forward with my mathematics. His time and knowledge was very much appreciated.
I had Richard for the first semester of college physics at Boston University, and I'm so glad I found him! I met with him twice a week for 2 hours at time, during which we worked through homework problems. Richard was an excellent teacher, clarifying the often confusing questions that were asked of me. He broke down intimidating problems into smaller, more manageable parts. He taught me to recognize patterns within questions, a very important skill to have when doing physics. Before physics started, I didn't feel confident at all about the subject. With Richard's help, I was able to master physics and thus become more confident in my physics abilities. I earned an A- in the class, and I know that Richard's help was a huge part of that. I highly recommend him for physics. He's easy to reach and very good about communicating with students in a timely way. I couldn't think of a better person to help me with physics than him.
He was helpful and thorough. I appreciate that he encouraged me to stick with the material because I had been feeling discouraged.
Richard was very patient and helpful. He explained different methods to approaching the same situation. I feel like I now know what I am doing.
Thanks to Richard I now have a clear understanding of the work that I have to do to create my essay. Amazing tutor.
Richard is a great tutor. He helped me a lot in my courses. My grades got better after several sessions with him. RECOMMENDED
I tutored this student in finance, operations management, marketing, and strategy.
Richard took away some of the mystery and fear just by encouraging my daughter to work at it. I also think she was much more confident with the math side of it after being tutored by Richard.
My son decided to take Calculus, having SKIPPED college algebra. I had my doubts, be we agreed that if we could find the right tutor, he should try. We engaged Richard early in the semester, and my son met with him twice a week for intensive tutoring. Richard was able to convey the concepts to my son very effectively, in spite of the fact he was missing background in algebra. Richard was able to diagnose his issues, and the end result for my son was a B+ in the course. I am 500 miles away from my son, but I received detailed reports after each session on my son's progress. All in all, very pleased with both the process and the results. Thanks Richard!
Richard is an experienced and effective tutor. He gives you confidence in your abilities, while quickly adapting his methods to effectively teach a wide variety of topics. His sage-like knowledge, confidence inspiring resume, and gravitas helped me greatly. Furthermore, he has no trouble answering emails *quickly.*
It was the weekend before my finals when I found Richard. My math concepts were a mess. I was confused and disoriented by the sheer volume of information being crammed in a 6-month period. I was lost.
It all changed when I met Richard. The man is a mathematics giant. He is unafraid of defining complex concepts and unassuming when helping you organize yourself. A strong work ethic guides the man. He not only elucidates concepts, but provides insight on how best to use them in a effective way.
Thanks to Richard, I felt safe in the realm of mathematics once again.
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 and geometry are the two main pillars of mathematics. Besides tutoring mathematics, I have used algebra quite extensively in several small software businesses I have run, including one mathematical software company.
My approach to teaching mathematics is to blend problem-solving with a deeper understanding of the content, and to adjust my approach to the needs of each student.
I earned a BS in mathematics at MIT and a PhD in mathematics (geometry and physics) at Berkeley.
I earned an MBA in finance and marketing at U of Chicago. I have worked or consulted for 8 businesses in the Fortune 100, including General Electric headquarters and two divisions, and consulting with McKinsey & Co. McKinsey's head of industrial consulting rated me the best analyst the Firm. I have run three small software businesses, and I am currently running a small firm that provides software and services in business analytics.
I earned a BS in mathematics at MIT and a PhD mathematics (geometry and physics) at Berkeley. As a Research Mathematician at GE R&D, I performed engineering physics simulations in numerous areas. I won a Technical Achievement Award, and published over 2 dozen internal technical reports and four papers in refereed journals.
Basic calculus contains three powerful ideas: taking limits, computing slopes of curved lines, and computing areas under curves. My approach to teaching calculus is to (a) ensure the student has a good intuitive grasp of these three basic ideas; (b) expose the student to derivations of some of the simpler formulas; and (c) help student to solve problems and to memorize the required formulas; and (d) exposing students to the tables of derivatives and integrals. I blend these approaches to fit the student’s learning style.
I earned a BS in math at MIT and a PhD in mathematical physics at Berkeley (NSF scholarship). As a research scientist at General Electric R&D, I built engineering physics simulations in stress and thermal analysis in glasses, metals and ceramics; optics; acoustics; and plasma physics. I have solved systems of ODEs and PDEs with finite element and finite difference software, including software of both kinds that I wrote from scratch. I won a Technical Achievement Award, published over two dozen internal technical reports and four papers in refereed journals.
I earned a BS (MIT) and PhD (Berkeley) in mathematics. At MIT I took the main undergraduate course in discrete mathematics, which focused on probability and combinatorics. For a math software company, I wrote a tutorial on how to derive the main distributions in statistical mechanics in physics from discrete combinatorics.
When teaching probability and combinatorics (which are the most common types of discrete math), I try to convey the rationale behind the formulas for permutations and combinations in various situations. The logic is quite easy, and these ideas enhance students' abilities to reason about discrete math.
I earned an MBA in Finance at UChicago, and I took a minor in economics as part of my BS at MIT. I replaced many of the elementary courses in economics with advanced electives in both universities. I have practical experience applying microeconomic concepts to numerous businesses, as a consultant with McKinsey & Co. and with other companies large and small.
Some parts of macroeconomics are stable, such as models of inflation and unemployment, deadweight losses, and international trade. Updated theories are emerging is some areas that incorporate price stickiness, oligopoly power, and dynamic models of money markets, under the name Dynamic Stochastic General Equilibrium models.
My approach to tutoring economics is to combine problem-solving skills with a solid understanding of the foundations.
I bring an "old school" background in grammar, including outlining ideas and diagramming sentences. While students need not learn this material, it helps me to explain subtle differences in meaning among different ways of expressing an idea.
The most effective ways for students to improve English skills are to practice, to hear and read good English, and to learn formal rules. Getting explanations of subtler points from a tutor can help substantially.
English grammar is generally easier to learn than that of other major European languages, but it is less precise in some respects. Verbal skills can be improved by knowing how the characteristics of English grammar affect reading comprehension, speaking and composition. For example, English has fewer inflected endings on nouns, verbs and adjectives; instead it relies more on word order and prepositions to indicate sentence structure.
Vocabulary is an essential ingredient in good English. In my experience, a tutor can most effectively improve students' vocabulary by explaining new words as they occur in spoken or written language and in verbal tests. I can recommend vocabulary-building lists, but students can most cost-effectively do this sort of work on their own.
My strengths are in descriptive, persuasive and scientific English. I bring a mathematician's precision to analyzing the logic and smoothness of language. (My formal degrees are in mathematics, physics and finance.) I am not as experienced in writing impressionistic or fictional material.
I earned an MBA in finance from U Chicago with a minor in marketing. My studies included capital asset pricing models, valuation models for firms and investment projects, and option pricing. I have done applied financial analysis and managerial accounting projects for several clients. I have been general manager or president of several small companies where I dealt with financial analysis of the business.
I currently run a small company that markets advanced financial spreadsheet analyses.
I earned a BS (MIT) and PhD (Berkeley) in mathematics. At MIT I took the main undergraduate course in probability, which focused on probability and combinatorics. I have an extensive background in linear algebra. For a math software company, I wrote a software package on finite trees, and a tutorial on how to derive the main distributions in statistical mechanics in physics from discrete combinatorics.
When teaching probability and combinatorics (which are the most common types of finite math), I try to convey the rationale behind the formulas and illustrate the ideas with examples.
More than any other part of mathematics, geometry combines intuition, computation and rigorous proof. Geometric intuition can help students to see their way through complex problems in other disciplines. I can teach geometry as problem-solving, and at a higher level to the extent that the student is receptive.
I earned a BS in math from MIT and a PhD in mathematics (geometry and physics) at Berkeley. My main field of expertise is Riemannian geometry, of which Euclidian geometry and trigonometry are the simplest cases. As a research scientist at General Electric R&D, I modeled many engineering physics problems on complicated geometrical shapes using finite element analysis.
Besides an MBA in finance (U of Chicago), I earned a PhD in mathematics (Berkeley). I bring a mathematician's precision to logical and quantitative analysis, and to reading comprehension and grammar. I have done advanced analytics for consulting clients and as an employee at several companies.
My approach to GMAT prep is to help in four ways. First, teach test-wise tips; secondly, improve domain knowledge as needed; thirdly, refine reading and writing skills through practice and discussion; and fourth, teach specific methods for quantitative problems.
I earned a BS in mathematics at MIT and a PhD in mathematics I ran a math software business for ten years, where I wrote plenty of symbolic and numerical software, including computation of matrix normal forms. I have written symbolic software for multilinear algebra and tensor calculus.
I earned a BS in mathematics at MIT, where I took the upper level undergraduate course in logic for math majors and got an A. I have written software that handles three-valued logic (a rather specialized topic). I also earned a PhD in mathematics (geometry and physics) at Berkeley.
I earned an MBA from U Chicago with a minor in marketing. I have run three small software businesses where marketing reported to me. As a director of marketing and strategic planning at MathWorks, I introduced new methods of analyzing sales, marketing programs, investment projects, and customer support. I sat on the advisory boards for all 11 commercial business areas.
I have served as a product manager in a large entertainment software business, and I ran a small scientific software business where I performed or supervised all marketing activities.
I currently run a small company that markets advanced marketing analysis spreadsheets.
I earned a BS from MIT and a PhD in mathematical physics from Berkeley. As a research scientist at General Electric, I performed engineering physics simulations involving stress and thermal analysis of metal-glass-ceramic systems, optics, acoustics, and plasma physics; also manufacturing cost analysis. I published more than 2 dozen internal technical reports at GE and four papers in refereed journals.
After earning a PhD in mathematical physics at Berkeley and a BS in math at MIT, I was a research scientist at General Electric R&D, where I built engineering physics simulations in many fields (stress and thermal analysis in glasses, metals and ceramics; optics; acoustics; plasma physics). I won a Technical Achievement Award, published over two dozen internal technical reports and four papers in refereed journals. I delivered some seminars that were considered exceptionally understandable. I have also published five papers on theoretical physics in refereed journals.
My approach to teaching physics is to develop problem-solving skills along with a strong intuitive grasp of the fundamental concepts. I strive to understand the learning processes of each student to find the right balance of approaches for that student.
Precalculus combines algebra with limits. Calculus has just two basic concepts: slopes of curved lines, and areas under curves. The rest is computational techniques. I am expert in tutoring these concepts and methods.
I combine teaching students to solve problems with imparting a deeper grasp of the concepts that underlie the procedures for solving problems. I also teach test-wise tips for smart test-taking. I blend these approaches to do what best fits the student’s learning style.
I earned a BS in mathematics at MIT and a PhD in mathematics (geometry and physics) at Berkeley. I also have plenty of commercial experience in engineering and business applications of calculus.
Please see my profile for more on my tutoring background.
I studied probability and statistics as part of my BS at MIT, my PhD in Mathematical Physics at Berkeley, and my MBA at U Chicago.
I have practical experience applying probability and statistics. (a) I solved an engineering quality problem at General Electric with a probability model. (b) I have written software that uses t-tests and F-tests to estimate the statistical significance of price elasticity results based on regression models. (c) I implemented a stochastic model of the US economy in Excel, based on an economics thesis from MIT. (d) I have written prototype software to do Bayesian analysis of diagnostic and therapeutic procedures in medical care and in equipment maintenance.
Trigonometry can seem daunting because of the complexity of the formulas. The solution to this challenge is to develop a deeper geometric understanding of what is going on.
My approach to teaching mathematics is to blend problem-solving with a deeper understanding of the content. Unlike most tutors, I know how to teach mathematics as a science, not just as a way to solve problems. Please see my overall profile for information about my tutoring qualifications.
I earned a BS in math from MIT and a PhD in math from Berkeley. My main field of expertise is Riemannian geometry, of which Euclidian geometry and trigonometry are the simplest cases.