I have tutored several students in algebra. Topics such as order of operations, basic graphing, and inequalities are all second-nature to me, and very easy to teach. Students often have trouble grasping equation solving. This is something that is, to me, easy to explain in a way that the student can comprehend.
I have tutored both high school and college algebra classes. This includes factoring polynomials, working with matrices, and manipulating functions. I am also good at explaining the more advanced topics, such as complex (imaginary) numbers, exponentials, and logarithms. These areas form the foundation for later math classes in both high school as well as college.
I played baseball for 12 years before an elbow injury and academic pursuits forced me to stop. After that, I gave individual lessons to young boys including hitting, fielding, and throwing. While I may not have been the most gifted, I am very much a "student of the game" and can capably teach fundamentals. Additionally, I have two years of experience as a baseball umpire at youth and high school levels, so I am well versed in the rules of the game.
I have taken multiple calculus courses, beginning with the introductory level through multi-variate calculus in college. In all of these courses, I frequently assisted classmates in topics such as differentiation and integration. I have tutored students in all areas of calculus, including the tricky bits like integration by u-substitution, integration by parts, and partial differentiation.
I went through the AP Chemistry program in high school. As an engineering student, I was exposed to chemistry concepts in numerous courses (particularly about materials), so I have some familiarity with more advanced topics such as organic chemistry and nuclear reactions.
I have tutored chemistry at both the high school and college levels. Lessons provided include everything from basic concepts to stoichiometry to reaction kinetics.
I have had formal mathematics classes at university level up through linear algebra and differential equations. I tutored several of my classmates and their friends in these courses, as well as others. I have also tutored younger students in algebra and basic math skills.
Overall, I am capable of tutoring math classes at any level from elementary through algebra, geometry, calculus, and differential equations.
I have tutored several elementary students in math concepts. This includes basics of addition, subtraction, multiplication, and division. I am adaptable to a variety of teaching methods, so I can tailor my lessons to the way that the student is being taught in school for consistency, or offer a different way of doing things if that is what is needed. The important thing about elementary math is ensuring that the student enjoys it. Instilling a love of math opens many doors later in life, so gaining fundamental skills is the first step in this process.
As part of my mechanical engineering Ph.D. research, I frequently wrote and utilized computer simulation programs. This includes several years of Fortran programming experience with both Intel and Compaq compilers. Additionally, part of my undergraduate education included a semester of Fortran programming, and I frequently gave programming tips to my graduate student colleagues about Fortran and programming practices in general.
I have tutored multiple students in concepts of geometry. Basic relationships between lines, angles, and shapes are a frequent topic. Many students often struggle with proofs; the key here is showing how logical processes are used to move from a starting point to some desired outcome. Another topic that sometimes requires a bit of extra help, which I enjoy teaching as well, is constructions via straightedge and compass.
I have taken upper-level linear algebra and matrix manipulation courses in college. I have also tutored students in determinants, matrix operations, solving systems of equations, and linear programming.
I am capable of teaching linear algebra at both a basic level (such as would be encountered in a brief, focused unit in another course), or at a more fundamental level (like for a university course in the subject in particular).
I have a Ph.D. in mechanical engineering. I taught heat transfer to engineering undergraduates for two semesters, and was also a teaching assistant in both thermal systems and numerical analysis. I tutored many of my fellow classmates on an informal basis as well, in classes ranging from engineering physics through thermodynamics and mechanical design.
My engineering coursework included two semesters of physics, which included kinematics, fluid mechanics and thermodynamics, electricity and magnetism, optics, and nuclear mechanics. I also took at least one further class in each of the first three of these topics.
In high school, I took the AP Physics exam (and passed 5/5), as well as numerous other AP exams. I am well acquainted with the work level and study techniques required to do well on AP exams.
During my career as a graduate student, I was the lead developer and support person for a commercial design program written in Visual Basic. This included upkeep and development of new functionality. Several university courses also required usage of Visual Basic for Applications, in conjunction with Microsoft Excel.