####
Algebra 1

I am able to help students who, for whatever reason, fall behind their expectations in algebra I. The polynomial and rational functions, exponents and logarithms, radical expressions, factoring, polynomial division, and equation-solving skills and principles studied in Algebra I are foundational skills for investigators in science, managers optimizing business decisions, engineers improving a design, or software developers cracking open new concepts.

####
Algebra 2

As an engineer, I routinely use the skills and principles taught in Algebra 2! Exponents, logarithms and roots come up all the time because many relationships between important factors in a design or description of a natural principle can only be treated as if they were linear, or that is, adequately described using straight lines, to the roughest of approximations. Not having these mathematical tools would make engineering work rather crude. Imagine how the drawings of a Corvette would look if...
Read More

####
Calculus

I love calculus because it reveals great truths about the world we live in that would be very difficult (or at least much more tedious and time-consuming) to realize without it. How else could you figure out the volume of a sphere, Maxwell's equations of electromagnetism, the center of mass and the moment of inertia of a complicated structure, the modes of vibration of a structure, the amount of deflection expected in a beam, the fundamental modes of a plant under feedback control? You'd have...
Read More

####
Chemistry

I earned top marks in high school chemistry and completed the two college inorganic chemistry courses standard to most engineering programs with above average grades. I also took several related courses over the course of earning my engineering physics bachelor's degree, including classical thermodynamics, engineering thermodynamics, and statistical thermodynamics (acing the final!). Recently, I also completed a Stanford MOOC on photovoltaics and battery chemistry, which improved my understanding...
Read More

####
Geometry

While I am certainly not as focused or mathematically rigorous as a real geometry specialist like Euclid, I am quite comfortable tutoring geometry students who aren't worried about mastering the art of writing proofs and just want to do their best in the rest of it. Circles, triangles, quadrilaterals, spheres, hexagons and all sorts of other 2-D and 3-D shapes and angles are found in both nature and our man-made technologies that use nature's elements, so knowledge of their properties is a fundamental...
Read More

####
Physics

The study of the physical world around us and the nature of the interactions between all of the forms of matter and energy in it.

My bachelor's degree in engineering physics from the University of Alberta helped me develop strong problem-solving skills and an understanding of both classical and modern physics. I also have the engineering and philosophical background to be able to support my answer when a student asks "But why should I care about this?"

Often more of every-day...
Read More

####
Precalculus

Precalculus is an important and interesting part of every student's life if they are considering taking calculus, arguably the most useful mathematical tool ever invented (and by reputation, perhaps the most intimidating).

Building a solid foundation in the trigonometric relations, the relations between the manipulations of an equation and its graph, inverse functions, composite functions, domains, ranges, roots of polynomials, and the like ensures that the study of calculus will not...
Read More

####
Trigonometry

Trigonometry involves the study of angles, lines, and especially many of the characteristics of various two-dimensional shapes, in some detail.

The ability to solve triangles is extremely important for, and can be immediately applied to, the act of making measurements.

For example, the best methods for finding out the distance to a star, the height of a tree or tall building, the maximum height safely reached via a ladder of a given height.

It also comes into...
Read More

####
SAT Math

The SAT Math test is typical of many standardized math tests in that often as not, two or more of the typically four offered answers can be eliminated if one knows some of the most important math shortcuts -- simple facts and observations that can save time or improve accuracy.

In most cases, I coach students to put their calculators away. Most SAT questions can be answered correctly without pressing a single key. Only after all questions have been attempted would I normally consider...
Read More

####
Differential Equations

Differential equations are equations that include both a variable of the derivative or anti-derivative (possibly higher-ordered) of the same variable.

We engineering types often become very familiar with the Laplace transforms techniques for solving these equations in particular, so much so that the fact that the equations we solve algebraically by these techniques correspond to ordinary differential equations fades into the background of distant memory.

But the general...
Read More

####
MCAT

I have a degree in engineering physics, which qualifies me to help those MCAT students who may need help with the physics portion of the MCAT. I also have a decent understanding of chemistry and might be able to help with some of the chemistry concepts. I can customize the physics session to bring the student up to speed in any area of physics tested on the MCAT exam, and each online student may optionally have me scan them all the written example MCAT topic notes and example problems we work...
Read More

####
Computer Programming

I have several years of professional experience working as a software developer. I have developed a variety of control, measurement, analysis and testing applications using LabVIEW. I contributed a year's worth of feature development and expansion to an existing PC application for acquisition and analysis of PC-based semi-automated bio-medical microscopic imaging using Visual C++ and learned how to use XML as an effective and reliable human-readable information storage. I developed several versions...
Read More

####
Linear Algebra

Linear algebra is the study of systems of equations described using matrix and vector notation.

It can seem like a chore before you realize the practical applications of it, but it is a chore worth doing well, as it has myriad applications throughout engineering theory.

The knowledge of linear algebra simplify the task of solving simultaneous equations. This is ginormous! Why? Because simultaneous equations arise that need to be solved to do structural design in civil engineering,...
Read More

####
Electrical Engineering

Some of the fruits of electrical engineering are ubiquitous throughout modern society, while other aspects of it play behind-the-scenes.

Electrical/electronic engineering includes the analysis of circuits, motors, transmission lines, semiconductor devices, digital circuits, analog circuits, control systems, power conversion, microprocessing, control theory (classical, modern, and digital), electrostatis, electrodynamics and others.

Each of these topics is deep enough to make...
Read More

####
ACT Math

The ACT math test can be challenging exam to prepare for, especially for students who completed the relevant high school math courses significantly earlier than their test date. It tends to have broader expectations on the depth of math knowledge, especially geometry, than does the SAT, which could catch unprepared students by surprise. I have recently worked through the math and geometry review section of an ACT math prep review book with students who needed a crash course. I have not yet encountered...
Read More