H.S.College (Math, Physics, Electronics, Engineering, etc.) Tutor

Isaak B.
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H.S.College (Math, Physics, Electronics, Engineering, etc.) Tutor

Isaak B.
Featured Review:

## Wonderful Teacher

Cian, 6 lessons with IsaakAlyssa really enjoyed her lesson with Isaak, he explained what she needed to know clearly in a way she could understand, best of all she came away from the lesson excited about the subject because of other things they talked about during the lesson. We will definitely be using again!

I strive to tutor with a patient, courteous and professional demeanor. I encourage students to develop their knowledge and take a step back and think about how much they have already learned. I would say working with students who transform in the course of a few short weeks from feeling intimidated and helpless to empowered and capable has been the most rewarding aspect of this job. As an inquisitive, creative person and a lifelong learner, another favorite is taking courses online or...

Engineering Physics

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GMAT,
#### GMAT

I tutor a lot of math and science and use logical and analytical skills often enough that I was able to score 100% on both of the short but representative sample GMAT quizzes I have seen so far when researching to see whether I could help GMAT students.

GRE,
#### GRE

I have worked with a small number of other undergraduates or bachelor's degree holders preparing to take the GRE. Perhaps math has never been your strong suit or perhaps you did ok or even excelled in math at one time, but didn't use much math in your program or maybe only in freshman year. It happens to many GRE applicants! I have the patience and the time to help anyone recover (or if necessary, develop) mathematical skills necessary to excel on the quantitative portion of the GRE. My first GRE student left me what I consider a very positive review. I tutor a lot of math which is more demanding and a wide variety of math courses. This is probably partly why I am able to tutor GRE quantitative section effectively despite never having taken the GRE myself.

Microsoft Excel
#### Microsoft Excel

I have worked extensively with several versions of Excel (although not with the latest). In conjunction with my background as a software developer, I can readily handle comprehending and exploiting some of the most obscure features of the package, including the use of plug-ins, VBA, writing macros and setting up spreadsheets with custom formatting. I have set up numerous Excel spreadsheets over the years. I use it to help me do my taxes every year, to explore and compare various alternatives when making decisions at home and on the job, and to analyze data (even in three dimensions) including curve-fitting and statistics.

Computer Programming,
#### 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 of an application for controlling a printer that used a 30W C02 laser to permanently mark coated metals by burning the coating using Visual Basic and C#. I have also done a little bit of programming for embedded devices using cross-platform C and Basic compilers. More recently, I became reacquainted with Fortran and its multi-processing capabilities, and also gained a passing familiarity with Python, Ruby, and Javascript.

Computer Science,
#### Computer Science

I got my start with computing back in the 80's learning to program games in Basic and ASCII-based graphics working on one of the original Apple products, an Apple IIe computer which had a monochrome monitor that could only produce two shades of green (lit or unlit!).
Since then, I picked up a few new tricks, learning object-oriented programming by taking C++ as an elective while in college. I also got 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 of an application for controlling a printer that used a 30W C02 laser to permanently mark coated metals by burning the coating using Visual Basic and C#. I have also done a little bit of programming for embedded devices using assembly, cross-platform C and Basic compilers. More recently, I became reacquainted with Fortran and its multi-processing capabilities, and also gained a passing familiarity with Python, Ruby, and Javascript. I also have a strong understanding of the underlying hardware, and often tutor the circuit analysis, electronics, and digital logic courses taken by computer designers in the first part of their college educations.

MATLAB,
#### MATLAB

I learned a lot about MATLAB because so many of the courses I took to earn my engineering physics degree involved labs which required the students to use MATLAB. I used MATLAB/Simulink for two different controls theory courses and MATLAB with the signal processing toolkit for DSP courses, MATLAB for biomedical image processing course, and used MATLAB for an antenna theory and design course. Since completing my degree, I also used MATLAB for a quadrotor autonomous flight control MOOC. (I am also aware of several other reasonable alternatives for certain tasks students may not realize they have access to even when/if they find themselves without access to MATLAB sometimes need. Some of the ones I am reasonably familiar with include Python, Octave, and desmos).

Microsoft Excel,
#### Microsoft Excel

I have worked extensively with several versions of Excel (although not with the latest). In conjunction with my background as a software developer, I can readily handle comprehending and exploiting some of the most obscure features of the package, including the use of plug-ins, VBA, writing macros and setting up spreadsheets with custom formatting. I have set up numerous Excel spreadsheets over the years. I use it to help me do my taxes every year, to explore and compare various alternatives when making decisions at home and on the job, and to analyze data (even in three dimensions) including curve-fitting and statistics.

HTML
GMAT,
#### GMAT

I tutor a lot of math and science and use logical and analytical skills often enough that I was able to score 100% on both of the short but representative sample GMAT quizzes I have seen so far when researching to see whether I could help GMAT students.

Microsoft Excel,
#### Microsoft Excel

I have worked extensively with several versions of Excel (although not with the latest). In conjunction with my background as a software developer, I can readily handle comprehending and exploiting some of the most obscure features of the package, including the use of plug-ins, VBA, writing macros and setting up spreadsheets with custom formatting. I have set up numerous Excel spreadsheets over the years. I use it to help me do my taxes every year, to explore and compare various alternatives when making decisions at home and on the job, and to analyze data (even in three dimensions) including curve-fitting and statistics.

Statistics,
#### Statistics

Even though I have never myself encountered a need to take a course purely dedicated to statistics, I have successfully tutored students struggling with concepts in statistics.
Perhaps this is because I am very good at math, and tutor a lot of it, and therefore easily understand all of the math involved. It is partly because I have in the past signed out and studied statistics textbooks from the library in order to make sure I was prepared enough to help the stats students who had nowhere else to turn. Finally, part of earning my bachelor's degree in engineering physics required passing a course called "Statistical Thermodynamics" in which I learned about how the statistics of the motions of atoms in a gas, or atoms in a magnet, or molecules in a rubber band, for instance, can be used to help us study various aspects of our world and predict certain properties of it. I earned a perfect score on the final exam in that course. I also encountered aspects of statistics in other courses such as quantum physics, laser electronics, control system theory, and certain physics laboratory experiments.
So if you can't find someone in your area who happily will tutor statistics with you, you might be able to twist my arm to help you. Yes, I can tutor beginning statistics students in some of the most basic aspects of statistics without much notice, but I usually do not want to tutor statistics except in person, unless it is the most basic introductory level material or if I can preview the material beforehand and am provided or have time to obtain access to relevant textbooks.

HTML
Elementary Math,
Elementary Science

IELTS
#### IELTS

If you are working on your English, rest assured that as a fellow language learner I can relate to the difficulties you face with the utmost sympathy. There are so many languages that seem to have much better and more logical rules than English does, sometimes, and many of the other languages sound nicer too. For those of you who began life abroad, please know I am also from another country (Canada) and have no bias toward you. Also, I have enjoyed having roommates and floor mates from all over the world as I stayed in residence one year and with various room-and-board arrangements as I spent seven years working through college in Edmonton, Alberta, Canada. Those experiences and the classes helped me meet and speak with many friends who used English as one of their secondary languages, many of whom had strong accents. I treasure their friendships and enjoyed learning about their cultures. I also started a badminton group here in Pittsburgh and since badminton is not a very well-known sport among Americans yet, many of my valued and popular members come from other countries!

Algebra 1,
#### 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,
#### 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 the artist were restricted to use only straight lines!
Similarly, complex numbers are very useful for describing periodic waveforms, predicting natural resonances in systems, designing control systems and many other things.
I enjoy helping students understand and master the challenge of solving equations involving one or more of these non-linear equations, systems of linear equations.

Calculus,
#### Calculus

Calculus includes a wide range of powerful mathematical applications based on the idea that many types of analyses work better and reveal more interesting and useful truths (in many cases, surprisingly simple but non-obvious ones) when we exploit the ability to divide regions of interest into an unlimited number of small parts. Many of the most famous results students have learned in other parts of math and science, such as the volume of a sphere, for instance, were discovered using simple calculus techniques. Students expecting to earn credit for calculus in college should anticipate that topics of study to follow in later courses will use calculus. Also, certain kinds of homework problems one is expected to solve in upper-level college courses will use basic calculus skills.
I tutor calculus at the level typically taken by high-school students, college freshmen and college sophomores in engineering and science programs. This includes high school calculus, AP calculus AB/BC, business calculus, calculus of sequences and series, multivariable calculus and ordinary differential equations. Sometimes juniors and seniors in other programs take the same courses too. I suppose the applications of calculus in those programs aren't seen as early, often, or as in depth in those programs so it is not as urgent to ensure the students master calculus.
I also took partial differential equations and complex-variable calculus courses. I did ok at the time however, I do not tutor those now. Those courses are advanced enough that they mostly are not needed by students unless they are striving to earn their masters or PhD in certain fields, and as I have (so far) ended up choosing not to, I have forgotten too much of them and rarely encounter students looking for help with them.

Chemistry,
#### 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 of the topic immensely.
Chemistry education has certainly improved significantly with the advent of the information age, and I have enjoyed tutoring chemistry. I generally prefer to limit my chemistry tutoring to those students who also occasionally need math, physics, or test prep help.

Geometry,
#### Geometry

Geometry is a fundamental tool with which it is important for every student to be familiar. I help students who have difficulties constructing geometrical figures using a straight-edge and a compass. I understand geometrical theorems and can demonstrate constructing geometrical proofs that require the conjunction of several of them.
I can inspire students to consider the material relevant by recounting some of the roles geometrical arguments play in practical applications in engineering, science, business, medicine, and sports.

Physics,
#### Physics

I'm very familiar and comfortable with and enjoy tutoring classical physics and am very comfortable with explaining it. I also have a lot of exposure to and experience tutoring other courses the introductory parts of which could be considered part of classical physics including statics, mechanics, mechanics of rigid bodies, the strength of materials, circuit analysis, electrostatics, optics, more advanced electromagnetism courses, physics lab courses. I am sometimes but not usually comfortable tutoring thermodynamics, modern physics, and increasingly comfortable trying to tutor statistical thermodynamics, solid-state physics, and quantum mechanics (of which I am not very likely to be comfortable tutoring someone at short-notice). The MCAT is merely testing the students' knowledge of the applications of general classical physics for the most part. I am comfortable with helping those who wish to study for the MCAT if they are willing to work on their understanding of the general fundamentals and practice applying them rather than try to memorize formulas by the brute force which is simply not an effective long-lasting approach.
I have never seriously studied and do not know anything significant about string theory, general relativity, astrophysics, the multiverse, quantum computing, etc.

Precalculus,
#### 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 become far more difficult and intimidating than it needs to be. Focus on doing well in precalculus so that you can get through calculus without a headache!

SAT Math,
#### 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 checking work with a calculator.
To improve SAT math scores, I work with a student to make sure their understanding of the subject is strong and help work the kinks out of any identified weaknesses in the tested skills. Solid understanding is a prerequisite of sane confidence, a prerequisite to keeping exam stress within healthy and helpful bounds.

Statistics
#### Statistics

Even though I have never myself encountered a need to take a course purely dedicated to statistics, I have successfully tutored students struggling with concepts in statistics.
Perhaps this is because I am very good at math, and tutor a lot of it, and therefore easily understand all of the math involved. It is partly because I have in the past signed out and studied statistics textbooks from the library in order to make sure I was prepared enough to help the stats students who had nowhere else to turn. Finally, part of earning my bachelor's degree in engineering physics required passing a course called "Statistical Thermodynamics" in which I learned about how the statistics of the motions of atoms in a gas, or atoms in a magnet, or molecules in a rubber band, for instance, can be used to help us study various aspects of our world and predict certain properties of it. I earned a perfect score on the final exam in that course. I also encountered aspects of statistics in other courses such as quantum physics, laser electronics, control system theory, and certain physics laboratory experiments.
So if you can't find someone in your area who happily will tutor statistics with you, you might be able to twist my arm to help you. Yes, I can tutor beginning statistics students in some of the most basic aspects of statistics without much notice, but I usually do not want to tutor statistics except in person, unless it is the most basic introductory level material or if I can preview the material beforehand and am provided or have time to obtain access to relevant textbooks.

ACT Math,
#### 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 ACT math questions I could not answer, and I would be glad to help anyone who could benefit from additional help.

Algebra 1,
#### 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,
#### 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 the artist were restricted to use only straight lines!
Similarly, complex numbers are very useful for describing periodic waveforms, predicting natural resonances in systems, designing control systems and many other things.
I enjoy helping students understand and master the challenge of solving equations involving one or more of these non-linear equations, systems of linear equations.

Calculus,
#### Calculus

Calculus includes a wide range of powerful mathematical applications based on the idea that many types of analyses work better and reveal more interesting and useful truths (in many cases, surprisingly simple but non-obvious ones) when we exploit the ability to divide regions of interest into an unlimited number of small parts. Many of the most famous results students have learned in other parts of math and science, such as the volume of a sphere, for instance, were discovered using simple calculus techniques. Students expecting to earn credit for calculus in college should anticipate that topics of study to follow in later courses will use calculus. Also, certain kinds of homework problems one is expected to solve in upper-level college courses will use basic calculus skills.
I tutor calculus at the level typically taken by high-school students, college freshmen and college sophomores in engineering and science programs. This includes high school calculus, AP calculus AB/BC, business calculus, calculus of sequences and series, multivariable calculus and ordinary differential equations. Sometimes juniors and seniors in other programs take the same courses too. I suppose the applications of calculus in those programs aren't seen as early, often, or as in depth in those programs so it is not as urgent to ensure the students master calculus.
I also took partial differential equations and complex-variable calculus courses. I did ok at the time however, I do not tutor those now. Those courses are advanced enough that they mostly are not needed by students unless they are striving to earn their masters or PhD in certain fields, and as I have (so far) ended up choosing not to, I have forgotten too much of them and rarely encounter students looking for help with them.

Civil Engineering,
#### Civil Engineering

I am qualified to teach statics and dynamics , calculus, physics, circuits, and can often help students who have questions in linear algebra, or inorganic chemistry.
These first-year engineering courses common to all branches of engineering are all courses that I passed with good grades in the course of earning my engineering physics degree. I also did well in my strength of materials course and my mechanics of rigid bodies course (2nd year courses in common with most engineering disciplines).

Differential Equations,
#### Differential Equations

Differential equations, and their digital counterpart, difference equations, are hugely important to the study of many fields.
I can help any calculus student learn to solve separable ordinary differential equations, non-separable first order linear equations, second-order linear ordinary differential homogeneous equations with constant coefficients. Students often struggle with the methods of underdetermined coefficients, variation of parameters, and transform techniques such as Fourier transforms, and Laplace transforms. I can help because my degree included all of this material, much of which was applied later in several engineering courses.

Discrete Math,
#### Discrete Math

In the course of my education and past tutoring experiences, I have developed some familiarity with some topics that are considered discrete math and covered in some discrete math courses, such as Logic and boolean algebra, coding theory, probability, basic combinatorics of combinations, permutations, the basics of graph theory, proving relationships using induction, set theory problems using Venn diagrams or boolean algebra notation, binary number systems (other base number systems), recurrence relations, binomial expansion theorem, Pascal's triangle, conditional probability, and De Morgan's laws.

Electrical Engineering,
#### Electrical Engineering

I have studied engineering physics (electrical engineering except with more of a research-oriented emphasis on developing an understanding of modern physics). I help students with electrical engineering topics such as circuit theory (DC or AC), signals and systems, digital logic, operational amplifiers, transmission line theory, microprocessor/microcontroller programming (assembly languages or embedded C, etc)., control theory (SISO or MIMO systems). I might also be able to help with certain image processing, PLC/ladder logic, motors, or electronics.

Geometry,
#### Geometry

Geometry is a fundamental tool with which it is important for every student to be familiar. I help students who have difficulties constructing geometrical figures using a straight-edge and a compass. I understand geometrical theorems and can demonstrate constructing geometrical proofs that require the conjunction of several of them.
I can inspire students to consider the material relevant by recounting some of the roles geometrical arguments play in practical applications in engineering, science, business, medicine, and sports.

Linear Algebra,
#### 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, circuit design in electrical, lens design in optics, control systems design. Aspects of it are used in physics to solve quantum mechanical equations, in mechanics to find torque vectors or moments, .... etc.
In short, there are untellable numbers of applications, but you'll run into applications of linear algebra time and time again, so learn it thoroughly the first time!

Logic,
#### Logic

I did very well in my electrical engineering faculties digital logic course. I am also comfortable with boolean algebra, Karnaugh maps, truth tables, flip flops. I can tutor for certain problems synchronous (Moore, Mealy) or asynchronous state machine design with enough advance warning.
I also became familiar with the application of boolean algebra to close analysis, the analysis of an argument, thanks to an excellent MOOC course on the subject from Duke University.

MATLAB,
#### MATLAB

I learned a lot about MATLAB because so many of the courses I took to earn my engineering physics degree involved labs which required the students to use MATLAB. I used MATLAB/Simulink for two different controls theory courses and MATLAB with the signal processing toolkit for DSP courses, MATLAB for biomedical image processing course, and used MATLAB for an antenna theory and design course. Since completing my degree, I also used MATLAB for a quadrotor autonomous flight control MOOC. (I am also aware of several other reasonable alternatives for certain tasks students may not realize they have access to even when/if they find themselves without access to MATLAB sometimes need. Some of the ones I am reasonably familiar with include Python, Octave, and desmos).

Mechanical Engineering,
#### Mechanical Engineering

I have a degree in engineering physics. This is an engineering degree that is similar to electrical engineering. I am qualified to tutor mechanical engineers in any of the first year courses (since these courses are common to all branches of engineering) such as calculus, linear algebra, statics, dynamics, physics for engineers, electric circuits, possible vehicle dynamics and control, etc. In some circumstances I may be able provide some assistance with understanding higher level mech e topics in heat transfer, thermodynamics or fluid dynamics.

Physics,
#### Physics

I'm very familiar and comfortable with and enjoy tutoring classical physics and am very comfortable with explaining it. I also have a lot of exposure to and experience tutoring other courses the introductory parts of which could be considered part of classical physics including statics, mechanics, mechanics of rigid bodies, the strength of materials, circuit analysis, electrostatics, optics, more advanced electromagnetism courses, physics lab courses. I am sometimes but not usually comfortable tutoring thermodynamics, modern physics, and increasingly comfortable trying to tutor statistical thermodynamics, solid-state physics, and quantum mechanics (of which I am not very likely to be comfortable tutoring someone at short-notice). The MCAT is merely testing the students' knowledge of the applications of general classical physics for the most part. I am comfortable with helping those who wish to study for the MCAT if they are willing to work on their understanding of the general fundamentals and practice applying them rather than try to memorize formulas by the brute force which is simply not an effective long-lasting approach.
I have never seriously studied and do not know anything significant about string theory, general relativity, astrophysics, the multiverse, quantum computing, etc.

Precalculus,
#### 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 become far more difficult and intimidating than it needs to be. Focus on doing well in precalculus so that you can get through calculus without a headache!

SAT Math,
#### 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 checking work with a calculator.
To improve SAT math scores, I work with a student to make sure their understanding of the subject is strong and help work the kinks out of any identified weaknesses in the tested skills. Solid understanding is a prerequisite of sane confidence, a prerequisite to keeping exam stress within healthy and helpful bounds.

Statistics,
#### Statistics

Even though I have never myself encountered a need to take a course purely dedicated to statistics, I have successfully tutored students struggling with concepts in statistics.
Perhaps this is because I am very good at math, and tutor a lot of it, and therefore easily understand all of the math involved. It is partly because I have in the past signed out and studied statistics textbooks from the library in order to make sure I was prepared enough to help the stats students who had nowhere else to turn. Finally, part of earning my bachelor's degree in engineering physics required passing a course called "Statistical Thermodynamics" in which I learned about how the statistics of the motions of atoms in a gas, or atoms in a magnet, or molecules in a rubber band, for instance, can be used to help us study various aspects of our world and predict certain properties of it. I earned a perfect score on the final exam in that course. I also encountered aspects of statistics in other courses such as quantum physics, laser electronics, control system theory, and certain physics laboratory experiments.
So if you can't find someone in your area who happily will tutor statistics with you, you might be able to twist my arm to help you. Yes, I can tutor beginning statistics students in some of the most basic aspects of statistics without much notice, but I usually do not want to tutor statistics except in person, unless it is the most basic introductory level material or if I can preview the material beforehand and am provided or have time to obtain access to relevant textbooks.

Trigonometry,
#### Trigonometry

The beginning student learns the famous basic applications such as finding the shortest distance between two points or the angles between two directions (or sides of a triangle), and needs to become familiar enough with the ratios of some of the most famous right-angled triangles to be able to solve problems whenever those triangles come up in later courses (and on standardized college admission tests such as the SAT, ACT). The study of trigonometry (triangles), these pointy shapes which are hard to smooth (they all have at least two "sharp" corners -- (ah -- so acute!) is not complete without studying the unit circle and amazingly enough the study of circles (the least pointy of all 2D shapes!) requires we come back "round" to studying triangles! If you need help understanding trigonometry, the unit circle, graphing trig functions, I can help with Desmos. If you are struggling with trigonometric identities, I can help you connect the dots by using a powerful mnemonic device.

Probability
Algebra 1,
#### 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,
#### 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 the artist were restricted to use only straight lines!
Similarly, complex numbers are very useful for describing periodic waveforms, predicting natural resonances in systems, designing control systems and many other things.
I enjoy helping students understand and master the challenge of solving equations involving one or more of these non-linear equations, systems of linear equations.

Calculus,
#### Calculus

Calculus includes a wide range of powerful mathematical applications based on the idea that many types of analyses work better and reveal more interesting and useful truths (in many cases, surprisingly simple but non-obvious ones) when we exploit the ability to divide regions of interest into an unlimited number of small parts. Many of the most famous results students have learned in other parts of math and science, such as the volume of a sphere, for instance, were discovered using simple calculus techniques. Students expecting to earn credit for calculus in college should anticipate that topics of study to follow in later courses will use calculus. Also, certain kinds of homework problems one is expected to solve in upper-level college courses will use basic calculus skills.
I tutor calculus at the level typically taken by high-school students, college freshmen and college sophomores in engineering and science programs. This includes high school calculus, AP calculus AB/BC, business calculus, calculus of sequences and series, multivariable calculus and ordinary differential equations. Sometimes juniors and seniors in other programs take the same courses too. I suppose the applications of calculus in those programs aren't seen as early, often, or as in depth in those programs so it is not as urgent to ensure the students master calculus.
I also took partial differential equations and complex-variable calculus courses. I did ok at the time however, I do not tutor those now. Those courses are advanced enough that they mostly are not needed by students unless they are striving to earn their masters or PhD in certain fields, and as I have (so far) ended up choosing not to, I have forgotten too much of them and rarely encounter students looking for help with them.

Chemistry,
#### 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 of the topic immensely.
Chemistry education has certainly improved significantly with the advent of the information age, and I have enjoyed tutoring chemistry. I generally prefer to limit my chemistry tutoring to those students who also occasionally need math, physics, or test prep help.

Geometry,
#### Geometry

Geometry is a fundamental tool with which it is important for every student to be familiar. I help students who have difficulties constructing geometrical figures using a straight-edge and a compass. I understand geometrical theorems and can demonstrate constructing geometrical proofs that require the conjunction of several of them.
I can inspire students to consider the material relevant by recounting some of the roles geometrical arguments play in practical applications in engineering, science, business, medicine, and sports.

Physics,
#### Physics

I'm very familiar and comfortable with and enjoy tutoring classical physics and am very comfortable with explaining it. I also have a lot of exposure to and experience tutoring other courses the introductory parts of which could be considered part of classical physics including statics, mechanics, mechanics of rigid bodies, the strength of materials, circuit analysis, electrostatics, optics, more advanced electromagnetism courses, physics lab courses. I am sometimes but not usually comfortable tutoring thermodynamics, modern physics, and increasingly comfortable trying to tutor statistical thermodynamics, solid-state physics, and quantum mechanics (of which I am not very likely to be comfortable tutoring someone at short-notice). The MCAT is merely testing the students' knowledge of the applications of general classical physics for the most part. I am comfortable with helping those who wish to study for the MCAT if they are willing to work on their understanding of the general fundamentals and practice applying them rather than try to memorize formulas by the brute force which is simply not an effective long-lasting approach.
I have never seriously studied and do not know anything significant about string theory, general relativity, astrophysics, the multiverse, quantum computing, etc.

Precalculus,
#### 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 become far more difficult and intimidating than it needs to be. Focus on doing well in precalculus so that you can get through calculus without a headache!

Statistics
#### Statistics

Even though I have never myself encountered a need to take a course purely dedicated to statistics, I have successfully tutored students struggling with concepts in statistics.
Perhaps this is because I am very good at math, and tutor a lot of it, and therefore easily understand all of the math involved. It is partly because I have in the past signed out and studied statistics textbooks from the library in order to make sure I was prepared enough to help the stats students who had nowhere else to turn. Finally, part of earning my bachelor's degree in engineering physics required passing a course called "Statistical Thermodynamics" in which I learned about how the statistics of the motions of atoms in a gas, or atoms in a magnet, or molecules in a rubber band, for instance, can be used to help us study various aspects of our world and predict certain properties of it. I earned a perfect score on the final exam in that course. I also encountered aspects of statistics in other courses such as quantum physics, laser electronics, control system theory, and certain physics laboratory experiments.
So if you can't find someone in your area who happily will tutor statistics with you, you might be able to twist my arm to help you. Yes, I can tutor beginning statistics students in some of the most basic aspects of statistics without much notice, but I usually do not want to tutor statistics except in person, unless it is the most basic introductory level material or if I can preview the material beforehand and am provided or have time to obtain access to relevant textbooks.

Chemistry,
#### 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 of the topic immensely.
Chemistry education has certainly improved significantly with the advent of the information age, and I have enjoyed tutoring chemistry. I generally prefer to limit my chemistry tutoring to those students who also occasionally need math, physics, or test prep help.

Civil Engineering,
#### Civil Engineering

I am qualified to teach statics and dynamics , calculus, physics, circuits, and can often help students who have questions in linear algebra, or inorganic chemistry.
These first-year engineering courses common to all branches of engineering are all courses that I passed with good grades in the course of earning my engineering physics degree. I also did well in my strength of materials course and my mechanics of rigid bodies course (2nd year courses in common with most engineering disciplines).

Electrical Engineering,
#### Electrical Engineering

I have studied engineering physics (electrical engineering except with more of a research-oriented emphasis on developing an understanding of modern physics). I help students with electrical engineering topics such as circuit theory (DC or AC), signals and systems, digital logic, operational amplifiers, transmission line theory, microprocessor/microcontroller programming (assembly languages or embedded C, etc)., control theory (SISO or MIMO systems). I might also be able to help with certain image processing, PLC/ladder logic, motors, or electronics.

Mechanical Engineering,
#### Mechanical Engineering

I have a degree in engineering physics. This is an engineering degree that is similar to electrical engineering. I am qualified to tutor mechanical engineers in any of the first year courses (since these courses are common to all branches of engineering) such as calculus, linear algebra, statics, dynamics, physics for engineers, electric circuits, possible vehicle dynamics and control, etc. In some circumstances I may be able provide some assistance with understanding higher level mech e topics in heat transfer, thermodynamics or fluid dynamics.

Tennis
#### Tennis

I played badminton in high-school and made it to the county championships. The only player who beat me went on to win provincial gold! There were no consolation games and I don't know whether he beat his other opponents by as much as he beat me. A few years ago I founded a local badminton meetup group and it grew to over 500 members! Badminton is one of the world's most popular sports -- easily as popular as tennis -- it deserves to be listed in its own right here on Wyzant's platform but until it is, I hope they will approve this submission so I can offer help to those who wish to work on strategy and movement in any of the racquet or court games (badminton players tend to move much farther than tennis players and must change direction more often but tennis players reach higher speeds because of the larger court) (or more detailed help for any fellow badminton players!)

SAT Math,
#### 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 checking work with a calculator.
To improve SAT math scores, I work with a student to make sure their understanding of the subject is strong and help work the kinks out of any identified weaknesses in the tested skills. Solid understanding is a prerequisite of sane confidence, a prerequisite to keeping exam stress within healthy and helpful bounds.

Statistics,
#### Statistics

Even though I have never myself encountered a need to take a course purely dedicated to statistics, I have successfully tutored students struggling with concepts in statistics.
Perhaps this is because I am very good at math, and tutor a lot of it, and therefore easily understand all of the math involved. It is partly because I have in the past signed out and studied statistics textbooks from the library in order to make sure I was prepared enough to help the stats students who had nowhere else to turn. Finally, part of earning my bachelor's degree in engineering physics required passing a course called "Statistical Thermodynamics" in which I learned about how the statistics of the motions of atoms in a gas, or atoms in a magnet, or molecules in a rubber band, for instance, can be used to help us study various aspects of our world and predict certain properties of it. I earned a perfect score on the final exam in that course. I also encountered aspects of statistics in other courses such as quantum physics, laser electronics, control system theory, and certain physics laboratory experiments.
So if you can't find someone in your area who happily will tutor statistics with you, you might be able to twist my arm to help you. Yes, I can tutor beginning statistics students in some of the most basic aspects of statistics without much notice, but I usually do not want to tutor statistics except in person, unless it is the most basic introductory level material or if I can preview the material beforehand and am provided or have time to obtain access to relevant textbooks.

Tennis
#### Tennis

I played badminton in high-school and made it to the county championships. The only player who beat me went on to win provincial gold! There were no consolation games and I don't know whether he beat his other opponents by as much as he beat me. A few years ago I founded a local badminton meetup group and it grew to over 500 members! Badminton is one of the world's most popular sports -- easily as popular as tennis -- it deserves to be listed in its own right here on Wyzant's platform but until it is, I hope they will approve this submission so I can offer help to those who wish to work on strategy and movement in any of the racquet or court games (badminton players tend to move much farther than tennis players and must change direction more often but tennis players reach higher speeds because of the larger court) (or more detailed help for any fellow badminton players!)

ACT Math,
#### 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 ACT math questions I could not answer, and I would be glad to help anyone who could benefit from additional help.

ASVAB,
#### ASVAB

I'm an engineering physics graduate who grew up on a farm. This background gives me strong skills in math, physics, electric circuits and basic electronics, simple machines and engines , chemistry which make me able to help many of the students preparing for the asvab. Also, I got good at standardized tests. I was one of only 6 students in my county who earned a "100%" on the state- wide standardized final worth 50% of my final grade in senior high school math, making me class valedictorian.

GMAT,
#### GMAT

I tutor a lot of math and science and use logical and analytical skills often enough that I was able to score 100% on both of the short but representative sample GMAT quizzes I have seen so far when researching to see whether I could help GMAT students.

GRE,
#### GRE

I have worked with a small number of other undergraduates or bachelor's degree holders preparing to take the GRE. Perhaps math has never been your strong suit or perhaps you did ok or even excelled in math at one time, but didn't use much math in your program or maybe only in freshman year. It happens to many GRE applicants! I have the patience and the time to help anyone recover (or if necessary, develop) mathematical skills necessary to excel on the quantitative portion of the GRE. My first GRE student left me what I consider a very positive review. I tutor a lot of math which is more demanding and a wide variety of math courses. This is probably partly why I am able to tutor GRE quantitative section effectively despite never having taken the GRE myself.

IELTS,
#### IELTS

If you are working on your English, rest assured that as a fellow language learner I can relate to the difficulties you face with the utmost sympathy. There are so many languages that seem to have much better and more logical rules than English does, sometimes, and many of the other languages sound nicer too. For those of you who began life abroad, please know I am also from another country (Canada) and have no bias toward you. Also, I have enjoyed having roommates and floor mates from all over the world as I stayed in residence one year and with various room-and-board arrangements as I spent seven years working through college in Edmonton, Alberta, Canada. Those experiences and the classes helped me meet and speak with many friends who used English as one of their secondary languages, many of whom had strong accents. I treasure their friendships and enjoyed learning about their cultures. I also started a badminton group here in Pittsburgh and since badminton is not a very well-known sport among Americans yet, many of my valued and popular members come from other countries!

MCAT,
#### MCAT

I have a strong background in physics, so I can help MCAT students who struggle with the physics portion of the MCAT. If you can identify any specific area(s) of physics or any particular questions on sample MCAT exams that confuse you, send them to me. I am sure I will be able to help you if the question tests your knowledge of physics and we can set up an appointment promptly to meet your needs.

Isaak has provided examples of their subject expertise by answering **66 questions** submitted by students on Wyzant’s Ask an Expert.

## Wonderful Teacher

Alyssa really enjoyed her lesson with Isaak, he explained what she needed to know clearly in a way she could understand, best of all she came away from the lesson excited about the subject because of other things they talked about during the lesson. We will definitely be using again!

Cian, 6 lessons with Isaak

## Knowledgeable and patient to teach

I am working in an imaging processing project and he been helping me to code the matlab scripts as well explained the details of the purpose and functionality of the codes. I had learned a lot of Matlab compared to my professors. I had took intro to matlab previously but Isaak goes beyond and help me understand what exactly the scripts is doing and how I can code the scripts. I will definitely recommend Isaak to anyone how needs help with Matlab since he is very knowledgeable and patient to teach.

Marilyn, 9 lessons with Isaak

## Professional Tutor

Professional tutor who is knowledgeable and actively engages in teaching the subject to his student. He is patient and understanding. Makes his student feel comfortable in asking questions.

Dan, 2 lessons with Isaak

## Knowledgeable and patient tutor

He was very helpful and knowledgeable. He took the time to make sure that we had a good understanding of the material. He also offered advice on different shortcuts worth remembering. I strongly recommend this tutor.

Fatimah , 2 lessons with Isaak

## excellent

isaak has really been helping me grow my knowledge in circuits and programming. he has made sure that i actually understand the material i am learning and that i know how to apply it. thanks isaak!!

Connor, 42 lessons with Isaak

## Knowledgeable and understanding

Isaak worked with me on using geometric application on Excel to construct a given image of certain dimensions. It was a very revealing experience. I look forward to taking more lessons with Isaac.

Emmanuel, 1 lesson with Isaak

## Hands down best EE tutor out there

Isaak is really good at breaking down challenging concepts in a way that anyone can understand. Incredibly patient. And super super knowledgeable about everything to do with electrical engineering. I feel so lucky and grateful to have Isaak as my tutor.

Nathalie, 140 lessons with Isaak

## Patient and knowledgeable

Aarch64 assembly programming. He helped me understand some things I was having trouble with. And he wasn’t annoyed by the fact that I didn’t know much. He knowledgeable about my homework and helped me better understand it.

Emmanuella, 2 lessons with Isaak

## Great tutoring experience!

Isaak taught me a number of useful matlab functions but more importantly he pointed out how easily things are found via the Search Documentation feature embedded in the software. I forgot about that. I look forward to a followup session as I found Isaak to be very helpful and patient.

Robert, 2 lessons with Isaak