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I hold a Bachelor's degree in Engineering Physics from the University of Alberta. The U of A is one of Canada's largest universities and a top engineering school. I developed skills in math, physics, … Read more

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In the last 2+ hour session I was impressed by the range of control systems covered and the ease in which Isaak was able to handle them. He had helpful explanations from trigonometry all the way to tricks for eliminating error in higher order systems. These sessions have been as helpful as my three hour a week lectures at my University. In addition, my increasingly strong knowledge in control systems has already gotten me job prospects. I can't say enough about Isaak's tutoring. One final note, I have noticed that he prepares before we meet so that he is familiar with the topic and can guide me through the trickier portions of the problems. This is priceless because it allows me to create a mental structure on how to solve certain types of problems that is clear and concise and on which I can call on when tackling future problems. Thank you Isaak!

Thanks to your organization and time management skills as a student and your thoughtfulness in making the effort to advise me about what you are going to need help with, with a day or two of advance notice, I have appreciated the chance to be extra-well-prepared for your sessions. This is important for tutoring a high-level, nuanced, course such as control theory, which involves aspects of differential equations, linear algebra, trigonometry, physics, circuit theory, signals and systems, etc. I would think any employer would consider you a valuable asset to their organization on the basis of your upcoming mechanical engineering degree, those vital skills, and rapidly developing strong controls theory knowledge to boot! It has my pleasure to review the various control theory topics of your course with you, Casey, and I thank you so much for writing a detailed review!

Awesome tutor. Isaak doesn't get frustrated at all. He works hard until you get it and the work is done. Thank you Isaak.

Glad to have been able to help, Mike! Thank you for the opportunity!

He showed me my weakness. Thank you although I still have some problem or more problem especially about mathematics. I am thankful to have him help me with my homework.

I am very willing to work with you to help you overcome your college-level physics course which many students find overwhelming even when they have studied math more recently. As we continue to work hard on strengthening your mathematical skills, and study and discuss the principles and examples presented in your physics, I expect that we will see a remarkable improvement in a few short weeks. I am grateful to be part of it!

It's difficult to find a tutor who is as patient and thorough as Isaak. In only a day, Isaak helped me cover convolution, fourier series and transforms, and the basic concepts that that revolve around these concepts. He was flexible with scheduling and material; he even tutored me at 6am to help me review before the test! You definitely want Isaak on your team if you're struggling with complex math problems and concepts.

Hey Brian, thank you so much again for the positive feedback! Despite the extreme schedule, it was a cool and discrete honor to spend those continuous-time intervals with you! You really differentiated yourself with more than the dc-level of perseverance, several key homework solutions of your S&S course sifted through your learning passband transfer function in a highly stable way. Parts of your understanding had a delta from imaginary to real and that's good since much of the information was in some sense non-causal (pertaining to your future courses/career)! The most convoluted questions didn't seem to phase you; the magnitude of that kind of quiet confidence is a real superposition! I'd say you integrated your last few remaining fundamental periods before the final well -- now just this forward-shifting impulse periodically at a sufficient frequency and you're knowledge sure to continue to exponentially increase into that of a significant, complex and highly successful engineer! OK, I think I better sign out! Apologies :)

Isaak came over last night on last minute call. He worked with our son for a test today. He was very nice attending our needs for last minute call.

Very knowledgeable of the content.

Thank you for reaching out Denise! It was my pleasure to help your son prepare for tomorrow's exam as much as possible in a short time! I am looking forward to helping him prepare more comprehensively under fewer time constraints. I sense that he could easily advance a letter grade or two with the right motivation and practice!

Isaak has been tutoring me in Citcuit Theory and Design. He is an incredible tutor. He is patient, helpful, and seriously knows all his stuff. He flows through the material perfectly. He has helped me go from being totally lost to actually knowing which steps to take next in a matter of weeks. I highly recommend Isaak to anyone and everyone!

Thank you for persevering in your efforts of earning an electrical engineering degree to augment your credentials in biology despite a multi-year absence from the mathematical pre-requisites, Yvette! You recovered many skills in only a few weeks; I am hopeful that the knowledge you are in the process of successfully and fully developing could allow you to help solve an important problem one day. Thank you for the opportunity to help -- it is truly a privilege to work with such a great student!

Isaak was great- made time for me at the last minute, and was patient with my repetitive questions. He is an excellent tutor!

Thank you for your kindness Rachel! You definitely asked good questions, it is better to ask again if you have a doubt. It's no bother since it gives me a chance to practice finding different ways to explain something. I was fortunate that you contacted me a time that I was free. I am looking forward to helping you with any further hurdles in that real cool course you are taking!

Isaak helped my 10th grade child to get ready for his up coming test at his Physic college course. They studied the physics principles behind buoyancy (Archimedes principle: the buoyant force is equal to the weight of the displaced fluid), pressure (force/area), and applications to buoyant forces on objects in gases as well as the traditional underwater buoyant forces. etc. Isaak was very professional, patient and knowledgeable about the material. I am certain that I will look into hiring his service again. Such a great turtor!!. THANK YOU SO MUCH ISAAK.

I am most appreciative of your kind comments, and am glad I was able to help your son. I would be glad to help him again in the near future.

Thank you for being available in such short notice. Your assistance helped me think through the problems we went over and my remaining problems.

You're welcome Marlee! Thank you for the opportunity to help! It was my pleasure.

Very flexible and patient. Not only knowledgeable, but able to pass that on and make something complex seem simple. I had concerns about getting and using a tutor, especially as an older student, he proved them unfounded. Concepts I had struggled with for days were cleared up in minutes. If you are considering a tutor, you will not regret working with Isaak.

Thank you Noralynn! I'm glad to be able to help and am very pleased with your rapid progress! I consider your achievements so far very impressive considering the many other responsibilities on your plate as an adult learner! Great work and keep it up!

Isaak was able to provide tutoring in physics to my daughter and he was able to work through constant acceleration such that she was able to capture the concept. We are looking forward to utilizing his help in the future.

Thank you Robin! I'm happy to continue working with your daughter on physics and glad to see her making such good progress on the concepts!

Isaak is an amazing tutor who is able to translate his physics knowledge into an Aerodynamics lesson (though, never taking the course himself) almost overnight. Most impressively, Isaak accepted and excelled in this role as a tutor for a college level, eight week accelerated term student during the seventh week for a course at Florida Institute of Technology. I am absolutely astounded with the results of our session and the follow-up! I would recommend Isaak to anyone taking Physics or Aerodynamics!

I appreciate your recommendation! It helped that your course was about material that made a lot of sense to me due to my background in physics and interest in aviation -- I enjoyed studying it to prepare for your session! It was my pleasure -- and good for you for taking on such a challenging course -- I'm looking forward to helping you and anyone else with similar material again, anytime!

Every word in Isaak's profile is true - he knows his math. I came to him with a difficult AP statistics problem and his reply made sense to me. Finally, I have someone I can work with if I need advanced help. I am recommending him to others for sure!

Thank you so much for the kind words and recommendation, Anicia! -- I'm happy to assist with most difficult problems whenever you seek assistance. I'm impressed with the quality of service you delivered to your student having gone that extra mile to deliver meaningful answers.

Isaak helped me in honors geometry. We worked on the study guide for an upcoming unit exam. He was very patient. Not only did help me master the material, he also showed me some tricks to increase my speed. We are very happy with WyzAnt and with Isaak.

You're very welcome! I appreciate your taking the time to post this and am looking forward to helping you master the rest of your course and sharing more valuable tips!

Thank you Isaak for the great session this morning! You provided patient support and made things much easier to understand. We have an increased level of confidence for the upcoming test and will definitely be scheduling future sessions. We highly recommend you!

So glad to hear it, Claire! Looking forward to being of assistance any time!

Isaak, your help has been an instrumental part of my learning this semester and I appreciate all the effort and time spent.

It was my pleasure, Robbie! Thank you for your solid work ethic and being willing and able to improve your math credentials despite your full schedule!

I contacted Isaak to help me with understanding a paper on error-correcting codes, and he did a great job walking me through the more difficult-to-understand sections of it within the hour. The example encoding and decoding that we worked through, worked especially well for helping me see what was going on.

Glad to help Andres, as often happens, I learned something interesting too while helping you. Neat math in those error-correcting codes. Good for you and best of luck as you complete your advanced computer science degree!

Jake felt you were excellent which is the best result for us. Thanks, Isaak, we look forward to working with you over the next 18 months.

Happy to help, Mark! Looking forward to it!

Isaak was very thorough and taught me the quickest way to solve problems in Math. He worked with me on many different topics and reviewed techniques. He pointed mistakes quickly and taught me the correct way to solve. He is a great tutor!

Your son is very kind to have taken the time to write these words, Lydia. I appreciate it very much and hope he continues to have success in his studies whatever route into college he decides to take! I'm happy to help him again when and if he ever could use further assistance.

We went over Laplace Transforms and convolution. He helps me understand material at a deeper level, starting from its roots.

Fahad, I really appreciate this comment! You've come a long way over the years... nearly finished already! Good work then, now, and into a long and successful engineering career!

He explained things to me so that I understood them. I finally learned something I have been trying for a long time.

You are a patient student, Heather! Way to persevere! You have my full applause!

Thanks to Isaak's tutoring, my daughter scored the highest on her final exam than she scored on anything else all year. She said she will definitely call him in the future when she needs help.

I was happy to help, and remain at your service. Your daughter is a bright girl and she deserves the credit for her exam. Congratulations on her excellent result!

Isaak put my son at ease. Showed him a different way to look at the Trig formulas and how they related to each other. Post session write up was invaluable. Let us know where he thought the gaps in understanding were and gave us additional practice resources to use between tutoring sessions.

Glad to have helped. Your son gives me the impression of a very practical student -- geared heavily towards practical applications and has that potential and drive to go far in a technology-oriented career.

Isaak has been very helpful. He's patient and has the ability to break down concepts that are not so straightforward. He's been great working with my son!!!

I'm glad to have helped, Ellen! Thank you for the positive comments -- I admire your son's work ethic, intelligence, and down-to-earth friendliness -- he has great potential for success in life!

My son enjoyed working with Isaak B. for his physics course at the University of Pittsburgh. My son's physics teacher was very hard to understand. Isaak was able to simplify this difficult course and my son received an excellent grade. I recommend Isaak as a physics tutor. Isaak is a reputable and reliable tutor.

Thank you so much, Gary. It was my pleasure to help your son develop the skill and understanding to leap over that hurdle-looming-in-his-path of a physics course, clearing it handily on his final exam!

Isaak tutored me for the quantitative portion of the GRE via Skype. We worked together for about a month for a total of about 14 hours. My score skyrocketed. Isaak is very patient and knowledgeable about a breadth of subjects. I highly recommend him.

Fantastic result Kamy! See, I told you -- you are as capable as anyone else to do well on the GRE Math section -- so glad to see you get into that graduate program you wanted!

Isaak has been working with my son for the past two weeks with his AP calculus. He goes above and beyond what I expected from him as a tutor. He gives very detailed reviews of each lesson they have together. He is very patient and understanding. I would highly recommend him if you need any help.

Your son deserves to take pride in his accomplishments so far. Not everyone can achieve so much in the face of challenges, but with the support of family and with faith there are no true limits.

Isaac is very easy to reach by text or phone. He is aware of my son's needs in terms of atmosphere and has made suggestions to maximize my son's tutoring experience.

You're welcome Kim! I hope your son is still doing well after graduating to the next school!

Isaak B. is an incredibly qualified, willing, and patient tutor. Additionally, he tries his hardest to be as accommodating and as accessible as possible.

Kind words, indeed, simply a pleasure to work with! Amazing? Amazing, yourself! -- taking on a course whose reputation intimidates many students from even setting foot in the door despite having to persevere over multiple challenges -- not having taken the pre-requisite course, and the responsibilities of being a parent for young children. Good for you!

I needed his help in a pinch online for precal. He was very helpful and helped me do well on my test review.

Thank you for advising me on improving my setup for my online tutoring (with a couple of great recommendations) I appreciated all the opportunities to work with you on pre-calc, calc I, and calc II. Thank you too for being a satisfied customer and all the best for the next phase of your career!

Isaak is very knowledgeable. My daughter seemed to see Physics in a whole new light after spending time with him. I would not hesitate to recommend him.

I am happy your daughter's outlook towards Physics improved and I hope she is by now enjoying her "life after Physics". If there are any more math-related courses in her future, I'd be glad to help.

Isaak and my daughter seemed to be talking the same language (math) in an insightful and enthusiastic way. Certainly, the 2 hour lesson was very helpful. My daughter will continue taking lessons with Isaak to review different materials to start preparing for the final exam, as well as current material that she needs to master. She enjoyed very much the lesson and is looking forward to the next one.

Thank you Cecilia! I'm glad your daughter appreciated the sessions and did better on her remaining exams.

Isaak helped my daughter a lot with her Physics during their first session. Very knowledgeable and patient. I'd highly recommend him.

Our son was "down" because he was struggling with his homework and the concepts taught in his class. After 90 minutes with Isaak, our son was excited about now understanding and how Isaak helped him. Isaak coached him instead of giving him the solutions. Our son's whole demeanor changed after this session. Great job Isaak!

Isaak is very patient and insightful with our son. Our son loves him and has really improved under his tutelage.

Isaak is incredibly smart and can help you see problems in a different way. He has been a great help for preparing both for the SAT subject tests and the ACT. We will also reach out to him if we need help in Calculus this year.

Isaak has been a wonderful tutor for our daughter. She is a bright student but really hit a wall with Algebra 2. He is able to evaluate the trouble spots and give her confidence to the new skills needed. He is very strength based and also able to target learning areas.

Thank you, Issak, for helping our daughter with Earth Science. She feels much more comfortable with the material and has a better understanding of the lesson taught by her teacher.

Isaak has been a great tutor for my son. He was failing trig, in the beginning of 11th grade, now half way thru the school year with help from Isaak, he has come up to a high "C". He probably could get a "A", if he did his homework. lol. But at least he is understanding it now, thanks to Isaak. Isaak is very patient and kind tutor. He is always on time and if you ever need to get a hold of him, he is very easy to contact, thru his cell phone. He also is very accommodating to your schedule. There has been a couple times, that my son has forgotten his book or homework papers at school, and Isaak, was creative enough to still have a good learning lesson for him. He also is really comfortable with Isaak. He is very well mannered and just a nice young man, I would recommend him to any of my friends for tutoring their child. I feel lucky that we found him. Plus, a tutor that comes to your house and one on one with your child is an added plus!

Isaak is not only a great content-tutor, he also possesses a professional demeanor that helps instill our sense of confidence in him. I think he's a good influence on our son's scholarship, study methods.

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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.

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.

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.

I love calculus because it has revealed so many hidden truths, things that would have been very difficult to realize without it! How else could you figure out the volume of a sphere, 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? Did you ever know that without calculus, we most likely would still not know that light is an electromagnetic wave? We'd probably not have been able to develop over-the-air communications either. No radio! No broadcast television! No 4G networks! We would also probably still not understand why orbits are elliptical, why the periodic table is the way it is, why materials bend the way they do under loads. No skyscrapers! No space program! No supersonic aircraft!

My own calculus background began in a tiny (by local standards) rural high school. While there I studied calculus on my own in study hall by correspondence (like both of the other students)!. I had never heard of AP or IB courses and had no access to them (although on the other hand, I maybe had a fuller more balanced high school life, as a result -- I am not saying taking an AP course is always the best decision for everyone).

At university, the first year of engineering had two consecutive courses on calculus, Calculus I on limits, differentiation and integration and Calculus II, primarily on series and sequences. Calculus II sometimes also covers a few of the easier ordinary differential equations. I took Calculus III about vector calculus, volumes of revolution, and the Stokes and Green's theorems. A course on ordinary differential equations followed. This involves studying techniques for figuring out what function satisfies a given equation if the equation defines a complex relationship between a derivative of its independent variable and the variable itself. I later took a course on partial differential equations. We studied techniques for finding multi-variable expressions which satisfy relationships between independent variables and/or their partial derivatives. The last calculus course I took was the calculus of complex variables, which involves the exploitation of properties of the complex plane (the plane encompassing both real and imaginary numbers). It turns out that there is an incredible alternative way to finding the inverse Laplace transform of a function (which some of you electrical engineering and differential equations students will have used) involving line integrals evaluated along curves traversing paths through the complex plane.

I have successfully tutored several college students in Calculus I and II and worked with a few students on selected ordinary differential equations topics. The AP calculus courses (A/B and B/C) some students are privileged to take in high school cover all the same material as these college courses and I am well-suited to helping students prepare for these exams. I provide conceptual and strategic assistance to any calculus student in high school calculus, AP calculus, or Calculus I and II. I can also help ordinary differential equations with most of the material if I have a bit of advance notice on what they need help with.

I still have my notes from the partial differential equations course and the complex variable calculus course. The former was a challenging course that very few undergraduate engineering students venture to tackle. I did very well in the latter but I have grown rusty at it. I would be willing to attempt to help partial differential equations and complex calculus students but I can offer no guarantees (there is no charge if I don't manage to aid you in some way).

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.

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).

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.

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.

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, micro-processing, control theory (classical, modern, and digital), electrostatics, electrodynamics and others.

Each of these topics is deep enough to make up one or more courses all by itself. I am well-qualified to teach introductory circuit analysis of AC/DC circuits; it is the basic glue that every electrical engineering -related degree-holder knows like the back of their hand. I have helped students struggling with digital circuit theory and boolean algebra, MOSFET logic circuits, amplifier design, control theory, etc.

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.

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.

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!

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.

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.

Powerpoint is a Windows application designed to help you produce effective, readable, and attractive slide presentations. It can also help you apply an overall theme to your entire presentation, so that you can experiment with and customize the color scheme and choose from a variety of styles and animations to help jazz up your presentation. Video and music can easily be incorporated and accompanying handouts can be customized in myriad ways (although not always appropriate depending on the purpose, audience, and circumstances). I am qualified to tutor someone in Powerpoint because my most recent Powerpoint presentation drew specific praise for being a very effective use of the tool. If I recall correctly, I believe it was about a physics experiment on blackbody radiation. My background as a software developer often gives me special insights into the inner workings of such packages to allow me to notice, understand and explain behaviors and functionality that sometimes seem nonsensical to the average user.

I developed strong problem-solving skills while earning my bachelor's degree in engineering physics at the University of Alberta. My degree's requirements included some physics courses taught by the Physics department.

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!

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 prerequisitie of sane confidence, a prerequisite to keeping exam stress within healthy and helpful bounds.

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.

Trigonometry is useful for making measurements of existing things, planning future things, and implementing the planned things. Navigation is a good example of a task involving all three and is an essential part of many kinds of work, with or without college degrees. One must establish locations, plan routes and follow headings even when sufficiently accurate, quick, reliable and affordable technological aids are not available. In any case, sophisticated technologies like GPS and other measurement systems intend to augment rather than replace one's understanding of angles and directions. The skill-set offered by trigonometry directly benefits everyone who must move or manipulate within our three-dimensional world.

The relationships between the sides and angles of a triangle are also crucial for students to learn for more abstract reasons. These relationships provide a basis for understanding and describing other shapes. Trigonometry helps describe familiar two-dimensional shapes such as lines, circles, ellipses, and hyperbolas as well as familiar three-dimensional shapes like spheres, prisms, pyramids, and cylinders. Trigonometric skills are necessary to work with fancier two-dimensional shapes such as cardioids, limacons, roses, cissoids, foliums, cycloids, and conchoids. These skills also simplify the description of complex three-dimensional shapes such as spheroids, hyperboloids, and spirals. Most generally of all, a powerful technique published by Joseph Fourier in the early nineteenth century breaks arbitrarily complex waveforms into combinations of the trigonometric functions. This technique, called Fourier analysis, is fundamental to several engineering, scientific and mathematical applications. The knowledge of the properties of triangles and familiarity with each of the trigonometric functions helps future college graduates, tradesmen, and artists alike.

Although business calculus courses typically omit the use of trigonometric functions, students pursuing degrees in engineering or science must take a full-fledged version of calculus. They are expected to know and understand trigonometric functions and identities before they begin.

Understanding triangles can help students planning to work in various trades. Advanced electric work (as a journeyman or master electrician, or with electronics) involves trigonometry because the math needed for understanding the measurement of alternating-current electricity requires it. Other construction jobs, such as welding, machining, carpentry, stonework, landscaping, earthwork, and plumbing, use trigonometry for making measurements, estimating costs, and constructing precise angles.

Trigonometry has pragmatic value to artists such as sculptors, animators, painters, and photographers. Artists exploiting their knowledge of triangles and more advanced shapes produce more beautiful sculptures, paintings, animations and photos than their competition.

While a full-time university student, I player-coached a men's volleyball team that started with some rank beginners and level 15 (= last) of a bubble-up/down-type weekly city-wide recreational volleyball league up to around level 10 in only one year.

I made use of my high school experience, in which I was voted athlete of the year largely on the strength of being a key player of a two-time provincial bronze medal-winning team, including an undefeated regular season my senior year, as well as training obtained from the coaches and players of the collegiate teams of the University of Calgary Dinos, and the internationally-ranked University of Alberta Golden Bears, including "Most Improved Player" from renowned U of A coach, Terry D. as a member of an adult summer volleyball camp. While I cannot exactly claim to have developed the skill set of an indoor-game setter, I also accumulated several games worth of two-on-two sand court experience, in which setting skills are particularly important, and I often serve as the setter in typical pickup games.

I am nevertheless undoubtedly skilled enough to help many players improve their float serve, jump-serve, hitting, passing, court vision, blocking, and team play.

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