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“**Making great headway with my son in Calculus at VT**”

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Since 1987, what young minds have taught me in my thousands of sessions with them (both one-on-one and in the classroom) is that they respond to things that are simple, fun, and practical. They value pictures, stories, game-like "what if?" experiments, and real-world examples. They prefer handiwork over paperwork. Most importantly, students love

*Clients may cancel anytime for any reason at no charge!
Students enjoy the lessons or they're free.
Cost is often negotiable on a local case-by-case basis.*

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Has a great knack for simplifying the very complex for my son. In two lessons has already made an impact. Thank you.

I highly recommend Brad , he an excellent Calc. tutor and my grades have improved tremendously since working with him !

Brad has been tutoring my daughter for a short period of time thus far, but he has been attentive to our personal scheduling requests and accommodating to specific focus on needed help in chemistry.

Brad understood my son's needs, and took the time to explain new methods of understanding the material. We were very pleased with the outcome.

Brad helped my son who was struggling with accounting at the university level. Brad responded to my request within a few hours, and offered times that he could help my son the very next day! He was punctual, patient, and followed up quickly with his lesson report. WyzAnt is a great service, and my son and I were both pleased with the tutoring.

Brad helped my son with math that he needed to know for the SAT's. He has an insightful way of teaching so that my son understands based on drawings and some theory. My son's question-answer times have improved dramatically!

Thank you kindly, Karen, for the generous assessment. Your son and I appreciated first-hand how a fully-labelled sketch can easily "re-frame" many of these SAT math puzzles. We had a lot of fun avoiding the time-consuming academic "reflex" of diving headlong into equations -- we even enjoyed a few chuckles regarding the value of these "simpler ways." It was a pleasant summer with your son and I will miss our routine.

The very best to both of you...

Math:

ACT Math,
Approved subjects are in **bold**.

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.

Extensive local tutoring has included both financial and managerial accounting principles for VT ACIS 2115-2116 and RU ACTG 211-212.

Accounting, simply stated, is the "language" used in recording business transactions. The simplest transaction is an actual lump-sum transfer of cash on a specific date. Most deals, however, take non-cash forms and are spread out over time -- sometimes over very long, even indeterminate timeframes. This is when accounting gets very interesting, requiring a deep understanding of the principles, assumptions, and estimates used in producing a particular accounting exhibit. It's NOT so much what the numbers ARE, but what the numbers MEAN. And the figures can mean VERY different things in different business situations! It's also helpful to notice when the accounting is sober & conservative and when it's "rosy" and overly-optimistic. I'd be of more practical help in the reading and understanding of accounting statements than in their actual preparation. I've also been requested to perform numerous quarterly audits.

In 1987, Virginia Tech saw fit to award me a Minor in Economics. As a practicing private investor from 1996 through 2006, I examined thousands of accounting exhibits for hundreds of companies and their annual reports describing their financial situations. During that same 10-year period, I wrote 172 pages of essays explaining each of my investments. My favorite investment writers are J.M. Keynes, Ben Graham, Phil Fisher, and Warren Buffett. It was fun to own Berkshire Hathaway shares from February 2000 through 2006.

Students can enjoy simple techniques to "re-frame" many of these ACT Math puzzles using a very different, non-academic approach. Our "toolkit" includes: cutting in half, rescaling, "seeing the offset," "stair-stepping," noting counter-examples, using the "middle-value," "spelling it out" for powers & probability patterns, numer/denom tracking, and system "levelling and cancelling." Our cost-free material contains hundreds of multiple-choice and "grid-in" problems. Typical sessions begin with a tutorial puzzle, followed by a review of test questions, and ending with a timed-test simulation (Goal: 1 answer per minute).

Our ACT sessions will impart a "down-to-earth", visual sense of how any triangles work. Would you like to be able to "see" the three sides and three angles of any triangle without fumbling with equations? This can be performed mentally within a minute. Given two sides and an angle, or two angles and a side, we can specify the three remaining unknowns within 5%. No calculator or tables are needed! We will use two simple approximations often overlooked. This will serve as a handy supplement to the laws of sine and cosine for non-right triangles. We'll see how squares and circles work -- the template for almost all spatial concepts. Geometry areas and volumes can be estimated with no formulas to remember! We will also "see" how most algebra stems from the y=x and y=x^2 relations.

Nearly 25% of tutoring time to date has been devoted to assisting Salem & Blacksburg High School students in this vital precalculus subject. RU MATH 138 has been a popular client class, too.

Picking up where Algebra 1 leaves off, the y=x^2 relation is the starting point for this subject. Learn to "stair-step," "cut in half," and to re-scale systems of equations to "even up" or "cancel." The square, circle, and triangle will form our "template" for all spatial concepts. Students will develop a handy "visual" sense of polynomials, sine waves, and the e^x and ln(x) curves. Algebra 2 overlaps with much of the precalculus description below.

WyzAnt clients have included VT and RU business students for various courses. Business students will be able to draw from my own self-employment experience since 1990 and from my investment activities since 1996. International clients have also recently enlisted my assistance with business plan material and investment analyses through the world's largest freelance marketplace, Upwork (formerly oDesk). Great businesses exhibit certain traits that, when identified, merit investment interest and can be emulated and adapted to other business situations.

Practical training is for science as well as business majors (VT Math 1525 & 1526, RU MATH 151). Other tutored courses have included VT Math 1206, 2214, 2224. Calculus is the mathematics of change. Slope (a derivative) is all about observing differences. Integration is simply a "fancy way of adding." Think about your car's dashboard: the speedometer measures velocity. How do you "integrate" the speed? Look at the odometer (an "integrator") -- it adds, or accumulates, the distance traveled. Automatic feedback controls for all kinds of devices and processes use slope detectors or integrators. Say a car's cruise control is set for 60 mph. Heading up a steep hill, the car speed drops quickly. That sudden difference in speed can trigger a differentiator or slope detector to "hit the gas" as well as downshift the "tranny" to recover the 60 mph speed.

It was enjoyable to make the "final four" of the 21 high-school teams competing at the Corning, NY chapter of the American Chemical Society's May 1981 "Chem Bowl". Virginia Tech favored me with a full 1st-year of advanced-placement (AP) chemistry credits. High-school-level chem is likely where I'd be more helpful.

Chemistry is all about the slots in an atom's electronic "outer-shell." We must also attend to concentrations & proportions. Lewis-diagram rules can "size-up" possible compounds, like using Tinker Toys or Legos. We'll also see bond angles and molecular shapes.

Recent local tutoring for VT Math 2214 has included techniques of separation of variables, changing of variables, the Bernoulli substitution, and applying the integration factor e^kt. All these methods are designed to re-frame problems into more familiar and workable forms.

The "diff eq" systems where I'd be most helpful are the 1st- and 2nd-order linear systems that occur in nature. Examples include natural decay, temperature change, free-fall against air drag, charging capacitors, or a spring-mass system "playing catch" with its two energy forms. In higher-order systems, the lag of the 1st or 2nd order elements can dominate, simplifying the issue.

In 1987, Virginia Tech saw fit to award me a BSME, magna cum laude. Completing the Cooperative Education program favored me with 2000 hours of power plant performance-testing experience. Graduate school activities included passing the ME PhD Qualifying Exam (1987), as well as finishing 70 semester hours of MS and PhD coursework emphasizing real-world measurement and control systems. It was fun designing a low-hemolysis (0.04 mg Hb/dl pumped) pulsatile blood pump for cardiopulmonary-bypass use. I also enjoyed the lab teaching and grading of at least 50 ME undergraduates in the crafts of instrumentation, signal conditioning, microprocessor-PC interfacing, and technical report writing.

Economics boils down to scarcity and how people react to it. Good economic analysis considers both the numbers and psychology. Mediocre analysis uses only equations.

In 1987, Virginia Tech saw fit to award me a Minor in Economics. As a practicing private investor from 1996 through 2006, I examined thousands of accounting exhibits for hundreds of companies and their annual reports describing their economic situations. During that same 10-year period, I wrote 172 pages of essays explaining each of my investments. My favorite economic writers are J.M. Keynes, Ben Graham, Phil Fisher, and Warren Buffett. It was fun to own Berkshire Hathaway shares from February 2000 through 2006.

What makes the ME an "Electro-Mechanical" Engineer? Building your OWN measurement-and-control circuits. I'd be most helpful working with low-voltage DC signals and layouts.

Our sessions can include gates, flip-flops, latches, one-shots, counters, comparators, 7-seg LED displays, transistors, diodes, capacitors, op-amps, & Darlingtons. Troubleshooting usually involves a poor connection, ground disparity, noise, voltage drift, heat sensitivity, or a time lag.

It was fun teaching a community-college lab course where several students built their own DC power supplies for their final exam, transforming, rectifying, filtering, and regulating voltage to "spec." It would be a pleasure to provide you with a "hands-on", workbench-like approach to your EE studies! Circuit schematics are available on request.

Having been favored with a GRE Quant score in the 97th percentile (770/800 scaling), our GRE math sessions will impart a "down-to-earth", visual sense of how the numbers and formulas work. Students can enjoy simple techniques to "re-frame" many of these GRE Math puzzles using a very different, non-academic approach. Our "toolkit" includes: cutting in half, rescaling, "seeing the offset," "stair-stepping," noting counter-examples, using the "middle-value," "spelling it out" for powers & probability patterns, num/denom tracking, and system "leveling and canceling."

Our cost-free material contains 240 multiple choice problems and over 300 "numeric entries." Typical sessions will begin with a tutorial puzzle, followed by a review of test questions, and ending with a timed-test simulation (Goal: 1 answer per minute). Almost all spatial concepts stem from circles and squares. Geometry areas and volumes can be estimated with no formulas to recall! We'll "see" how algebra comes from the y=x and y=x^2 relations.

Linear algebra tries to handle systems of multi-variable equations in matrix form. ME grads like myself must complete a sophomore-level course on the subject. Modern-control theory favors this matrix concept in senior/grad-level ME courses to treat even differential equations whether or not they are "Laplace transformed" into algebraic form. If you have to complete courses like these, I've taken a few and can guide you.

One key coping mechanism is to lay out your system to minimize variables: "triangular"-ize the matrix so it may be "back-solved." By rearranging and by cautiously rounding-off certain factors, a big matrix can be simplified into "4x4" elements. The "4x4's" can then be streamlined to "3x3's" that are solved using the ever-handy "Cramer's rule." Please send me your matrix and I'll make some next-day remarks on it at no cost.

In 1987, Virginia Tech awarded me a BSME, magna cum laude.

Completing the Cooperative Education program favored me with 2000 hours of power plant performance-testing experience. Graduate school activities included passing the ME PhD Qualifying Exam (1987), as well as finishing 70 semester hours of MS and PhD coursework emphasizing real-world measurement and control systems.

It was fun designing a low-hemolysis (0.04 mg Hb/dl pumped) pulsatile blood pump for cardiopulmonary-bypass use. I also enjoyed the lab teaching and grading of at least 50 ME undergrads in instrumentation, signal conditioning, microprocessor-PC interfacing, and technical report writing.

Extensive physics tutoring has included several clients enrolled in RU PHYS 111-112, Roanoke College PHYS 103-4, and VT PHYS 2305.

Having been favored with a BS in mechanical engineering, as well as power plant and laboratory experience, our physics sessions will impart a "down-to-earth", visual sense of how matter & energy move and interact. Introductory physics can be boiled down to about two dozen concepts. We will use word-pictures (eating, driving a car, spending money, TV shows and movies, sports) and sketch lots of diagrams to “see” the physics. We will see how the numbers work by “tweaking the knobs” of the formulas. We can draw from the “hands-on” mechanical engineering experience I've been favored with: including 2000 hours in power plants testing equipment, plus 2000 hours in laboratories teaching electronics, vibrations, water-air-heat flow, and building a low-hemolysis, pulsatile blood pump for cardiopulmonary-bypass use.

Final exam client preparation has included RU MATH 138.

Our pre-calculus sessions will impart a "down-to-earth", visual sense of how any triangles work. Would you like to be able to "see" the three sides and three angles of any triangle without using a calculator or table of values? This can be done mentally under a minute. Given two sides and an angle, or two angles and a side, we can specify the three remaining unknowns within +/- 5%. No calculator or tables are needed! We will use two simple, overlooked approximations. This will serve as a supplement to the laws of sine and cosine for non-right triangles. Polynomials can be "eyeballed" and factored with simpler methods you may like. "Asymptotes" are simply viewed as "fences" on the x-y grid. Students will also benefit from a "hands-on" look at sine waves, and the e^x and ln(x) functions.

Students can enjoy simple techniques to "re-frame" many of these SAT Math puzzles using a very different, non-academic approach. Our "toolkit" includes: cutting in half, rescaling, "seeing the offset," "stair-stepping," noting counter-examples, using the "middle-value," "spelling it out" for powers & probability patterns, numer/denom tracking, and system "levelling and cancelling." Our cost-free material contains hundreds of multiple-choice and "grid-in" problems. Typical sessions begin with a tutorial puzzle, followed by a review of test questions, and ending with a timed-test simulation (Goal: 1 answer per minute).

Having been favored with a BS in mechanical engineering, as well as power plant and laboratory experience, our SAT Math sessions will impart a "down-to-earth", visual sense of how squares and circles work. Almost all spatial concepts stem from circles and squares. Geometry areas and volumes can be estimated with no fancy formulas to recall! We will also "see" how most of algebra comes from the y=x and y=x^2 templates. I've enjoyed teaching thousands of sessions since the late '80s, both in large classes and in the home on a wide variety of topics. Good teachers care about people, are good examples, know their subject, and are terribly interesting. Students deserve that.

Nearly 100 hours of WyzAnt tutoring has been provided to Salem & Blacksburg High School students on "trig" principles. RU MATH 138 has been another popular class. Our trigonometry sessions will impart a "down-to-earth", visual sense of how triangles work. Trig functions are used to "see" vectors and simple harmonic motion.

Trigonometry is all about "triangles simplified." Would you like to be able to "see" the three sides and three angles of any triangle without using a calculator or table of values? This can be done mentally under a minute. Given two sides and an angle, or two angles and a side, we can specify the three remaining unknowns within +/- 5%. No calculator or tables are needed! We will use two simple, overlooked approximations.

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