Centre College (Classical Studies)
The University of Kentucky (Master's)
I am a very experienced tutor with an excellent understanding of many subjects - especially calculus and all branches of physics up to at least an undergraduate level. My tutoring philosophy is that a student should have a deep and thorough understanding of the material (not just know how to get the correct answer). That way, they can become self-reliant and use their knowledge to solve new and more-challenging problems on their own. This is a highly effective method, and the many glowing reviews that my students have given me speak for themselves.
I received my MS in Physics from the University of Kentucky, and I graduated Phi Beta Kappa from Centre College with a BA in Classical Studies. As a result, I specialize in physics and calculus, but I have a deep pool of knowledge covering a broad range of topics - including philosophy, history, literature, and many branches of mathematics.
I have been tutoring college and high school students for many years. As an undergrad, my physics department hired to me to run evening tutoring sessions, and during graduate school, I tutored physics and calculus independently. In 2014, I was hired by a professional tutoring service in Nashville, Tennessee to do after-school tutoring with students from middle school, high school, and college. This tutoring service also ran a homeschool program where I worked one-on-one with high school-aged students who had various learning differences (including ADHD and Social Anxiety Disorder). I really enjoy working with young people and have an enormous amount of experience doing so under unusual circumstances.
Please contact me if you have any questions or would like to schedule a lesson. I would love the opportunity to improve your learning process and help you understand something really challenging! I am a very experienced tutor with an excellent understanding of many subjects - especially calculus and all branches of physics up to at least an undergraduate level. My tutoring philosophy is that a student should have a deep and thorough understanding of the material (not just know how to get the correct answer). That way, they can become
Please contact me for rates on group sessions or extra-long lessons. To preserve the quality of my lessons, I will not schedule lessons shorter than one hour.
Geoffrey is a most experienced, patient, and thorough tutor. He always goes the extra mile to make sure that each of my boys has a full understanding of the very challenging material at hand. They have told me several times how incredibly smart he is, and how much he helps them in their courses. Thank you, Geoffrey!
We went over Dynamics and Kinematics. He never had to once review or look at the notes. If you need help with physics, he's the guy!! Most of the topics we covered were random that we didn't talk about in advance, but he knows his stuff!
Geoffrey comes to our linear algebra sessions very prepared. He is quick to answer questions and helps me visually understand what is going on in the difficult subject.
Geoffrey is teaching my son AP physics. He is very knowledgeable and detail oriented. He knows exactly how to attack the subject and dissect the problems to make it easy to understand. My son is extremely happy and comfortable with the subject now. We had 3 sessions and planning to continue with him.
Geoffrey is a great Math tutor. After several sessions, my son is now very much confident on his Geometry subject. From having a C, he improved his grade to B+ and is now on his way to making it to an A.
Geoffrey is very knowledgable, kind, and flexible. He sees what needs to be done, and finds a way to do it.
Geoffrey has been incredibly helpful in my Conceptual Physics and Philosophy classes. He has helped me prepare for midterms and explain key concepts in understandable terms. I can't thank him enough for his help. I would highly recommend him as a tutor!
Geoffrey was a fabulous tutor for my daughter. He has great knowledge of the subject/s he teaches. He made sure my daughter understood the topic they were reviewing, and even teaching, before moving on. He is very patient and one of the best tutors we have had experience with. I would absolutely recommend him to anyone.
Geoffrey was a great tutor. He helped me understand the material very well and I have a clear picture of what to do, what is expected, and how to approach that difficulty of work. His tips and guidance along the way made me feel good about the problems and I was able to complete them on my own! Very good tutor: patient, accurate, intelligent, and helpful.
In most cases, tutors gain approval in a subject by passing a proficiency exam. For some subject areas, like music and art, tutors submit written requests to demonstrate their proficiency to potential students. If a tutor is interested but not yet approved in a subject, the subject will appear in non-bold font. Tutors need to be approved in a subject prior to beginning lessons.
Because of my background in physics, I have a large amount of practical mathematical experience and; therefore, I understand the topics covered in Algebra 1 better than almost anything else. More importantly, I have been tutoring high school algebra for a long time and am capable of breaking down the mathematical ideas into simple, manageable pieces. Algebra 1 is the foundation of every math class that comes after it, and I can help students develop a strong foundation.
Algebra 2 is a fundamental building block for calculus, and I understand its material very well. I have been tutoring high schoolers and college students in Algebra 2 for a long time, so I know how to help students get a firm hold of the subject matter. I am very comfortable with polynomial and rational functions, exponential and logarithmic functions, graphing, inverses and composition, factoring polynomials, sequences and series, matrix algebra, and many other topics.
Because of my Master's Degree in physics, I have a large amount of practical and academic experience with all aspects of calculus through at least an undergraduate level. In addition, I have been tutoring AP and college-level calculus for a long time, so I know the material that is covered very well and can help students understand it. I am very comfortable with limits, epsilon-delta proofs, the formal definition of the derivative, Riemann Sums, the Fundamental Theorems of Calculus, Taylor series, vectors, partial derivatives, Jacobians, and many other topics.
Because of my background in physics, I have a deep understanding of many elements of basic chemistry. I am very familiar with stoichiometry, energy levels and electron configurations, patterns and properties in the periodic table, and the fundamentals of laboratory techniques in chemistry. I am not familiar with or comfortable tutoring high-level chemistry (such as physical chemistry or organic chemistry), but I can be of help in lower-level college and high-school chemistry courses.
I have a bachelor's degree in Classical Studies from Centre College. I took 3 semesters of Latin and 2 semesters on Ancient Greek during college but focused primarily on literature in translation and history. I am most comfortable with the Roman Republic, the Punic Wars, and the early Empire and with 5th Century Athenian democracy and the Peloponnesian and Persian Wars; however, I am still knowledgeable about the later Empire, the Roman Kingdom, and the Hellenistic Period.
I have a master's degree in Physics from the University of Kentucky. I took a class specifically on DQ in college, and in both college and graduate school, I took classes on the mathematical methods of physics. Those classes included long sections on solving ODEs and PDEs including separation of variables, series solutions, numerical solutions, Green's Function methods, Sturm-Liouville theory, and Cramer's rule and Wronskians.
Because of my background in advanced physics and logic, I have a large amount of experience with set theory, group theory, modular arithmetic, and matrix and other non-Abelian algebras. I have also studied a substantial amount of combinatorics and probability theory. I could tutor in the areas of rings, fields, and graphs but only at a basic or introductory level.
Geometry is a fundamental part of physics, so I know it very well and have been helping students learn it for a long time. I am not qualified to tutor undergraduate or graduate level topology or differential geometry. On the other hand, I am qualified to help high schoolers understand Euclidean geometry, and I am secure in my understanding of area, volume, logic, basic proof writing, trigonometry, distance formulae, and the many angle theorems - among other topics.
I have studied American Constitutional Interpretation and have a strong understanding of the political and judicial structure and history of the United States. I believe that history and law go hand-in-hand and that by learning about the fundamental aspects of the American government in its historical contexts you can gain a better understanding of both. In addition, I have studied a lot of comparative politics and have a strong understanding of the political and governmental systems of several other countries - especially Mexico, the United Kingdom, France, Russia, Iran, and China.
I have a Master's degree in physics and focused on quantum mechanics. Most modern branches of physics rely in some way or another on linear algebra, but quantum mechanics is especially so since many problems boil down to finding eigenvalues and eigenvectors and/or establishing a basis space. Matrix multiplication, linear transformations, simultaneous equations, and occasionally even RREF appear in various areas of physics, and I am well-versed in all of them.
Because of my degree in Classical Studies, I have a strong background in textual analysis and paper-writing. I am familiar with most texts that are regularly assigned in high school, but I specialize in Shakespeare and in ancient literature. I am especially familiar with the works of Homer and Horace.
I have a great love for Boolean and First-Order Predicate Logic. I have studied logic several times in both philosophy and mathematics courses, but most notably, I took a class in college on mathematical logic which concluded with a proof of The Soundness and Completeness Theorem of First-Order Predicate Logic and an in-depth examination of the Incompleteness Theorem of Arithmetic. I would need a refresher on model theory, the Compactness Theorem, and LST Theorem before I could tutor on the high-level proofs of Predicate Logic, but I am very comfortable with logical deductions of most sorts.
My background in philosophy focuses primarily on Ancient Philosophy (especially 5th Century Athens and the Hellenistic traditions). I am also well-versed in the philosophy of Locke, Kant, and some 20th century philosophers. I can tutor in most philosophy topics including logic, ethics, metaphysics, political philosophy, and the philosophy of science.
During the course of study for my Physics Master's Degree, I studied most fields of physics up to and including quantum field theory and relativistic dynamics. I have a very strong understanding of all fields of physics through an undergraduate level (including electricity and magnetism, classical mechanics, statistical mechanics, and quantum mechanics). In addition, I can tutor in nuclear theory, the Standard Model, and condensed matter and solid state physics at an introductory level.
Calculus was invented to solve physics problems, so I understand pre-calculus (the first step on the road towards more advanced topics) very well. I have tutored high schoolers and college students in pre-calculus for years, so I know how to help students not just learn the information but actually retain it too. I am very comfortable teaching limits, discontinuities, piecewise functions, reading mathematical tables, graphing and graphical interpretations, finding the equations of lines and other polynomials, exponentials, trigonometry, and the formal definition of the derivative.
I have extensive experience as both an actor and a director of live theatre and in giving oral presentations in an academic setting. I focus on helping speakers focus on their topic, identify the goals of their speech, and becoming comfortable with public speaking through regular practice. When applicable, I also discuss effective use of notes, controlling an audience, and breathing and projection techniques.
Because of my background in Classical Studies, I have a strong foundation in ancient religions and mythology; however, I have also studied Ancient Greek and read the New Testament in the original language. My religious education focused primarily on the history and theology of Christianity with a special emphasis on the history of the Catholic Church and its Sacraments, the life and writings of Saint Augustine, and the history and theology of pre-schism Christianity. In addition, I have some experience with biblical literature and history as well as with first century Judaism.
I was very active in my theatre department at Centre College and was even the president of the student-run theatre group on campus my senior year. I did not major or minor in theatre although I did direct a few shows (including a main-stage show my senior year) and acted in many, many more. I also gave a research and analysis presentation on how to apply Kant's aesthetic philosophy to theatre and what it suggests about the relationship between actor and director. I have a lot of experience working with young actors and have a real passion for helping young actors and directors focus their passion in a productive and practical way.
Trigonometry is an integral part of both geometry and pre-calculus, which together lay the foundation for mathematical physics. As a result, I understand trigonometry very well. I am extremely well-versed in the uses and interpretations of sine, cosine, tangent, secant, cosecant, and cotangent and all of their inverse functions. I have been using trigonometry and tutoring it for a long time, so I can help students develop a firm hold on the material.
World History is an incredibly broad topic with many variations in curriculum and emphasis. My expertise lies in the ancient civilizations of Mesopotamia and the Mediterranean and in the Cold War. However, I also have a broad, general knowledge of the history of China, Japan, Medieval Europe, the Renaissance, ancient American cultures, and the colonial period.