I would be happy to help you with Algebra.
The following is meant to supplement my tutoring profile. If you have not read my profile, please do so now. It may answer some of your questions!
While an undergraduate at Purdue University, I took BIOL 121, and BIOL 131; the first year coursework for Biology majors. These courses are called "Diversity, Ecology, and Behavior"; and "Development, Structure and Function of Organisms". Later, in my free time, I read the first few chapters of a book called Biological Physics by Phillip Nelson, getting a deep view energy transformations within Biological systems.
During my time studying Biology, I learned about the diversity of life, respiration, photosynthesis, cellular division (mitosis and meiosis), Mendellian genetics, natural selection, population growth, competition, predation, parasitism, behavior and conservation biology. I also learned about the membrane structure, diffusion, and electrical potentials across membranes.
Archimedes hinted to the methods of Calculus when he found the value of pi by a limiting procedure. In the late 1600’s, these methods were greatly expanded upon to solve THE problem of motion. A young Isaac Newton asked the following question: “If an apple falls, does the moon also fall?” In the ten years or so it took to formulate his answer, Newton invented Calculus and discovered the Universal Law of Gravitation. This was an incredible breakthrough, and has changed the path of science in every conceivable way since.
As Herbert Butterfield notes in his book “Origins of Science”: “Of all the intellectual hurdles which the human mind has confronted and has overcome in the last fifteen hundred years the one which seems to me to have been the most amazing in character and the most stupendous in the scope of its consequences is the one relating to the problem of motion”
Calculus is all about the immensely ‘big’ and infinitesimally ‘small’. Just as Arithmetic and Algebra revolve around their respective “Fundamental Theorems”, so too does Calculus. The Fundamental Theorem of Calculus does for differentiation what the nth-root does for exponentiation in Arithmetic. With this powerful gem of a technique, one no longer has to think so deeply about what the operation means, and can apply a pragmatic approach: “Calculus for the Practical Man”.
I would be happy to guide you through developing an understanding of the practical applications of this wonderful subject, Calculus. If you would like to know more, please feel free to contact me. Also, please note that I have a rather extensive blog detailing these and several other extracurricular topics. I welcome you to peruse the blog at your leisure.
I look forward to hearing from you soon!
Physics has evolved quite rapidly in the three hundred some years since it’s classical rebirth. Unfortunately, one reflection of this fact is that introductory physics textbooks have become encyclopedic in scope, leaving many students overwhelmed and exasperated. By separately looking at the list of key topics within AP Physics: 1, 2, and C - one can immediately verify this claim.
Further inspection will reveal that the entire AP Physics syllabus is based around seven (7) ‘big ideas’. When we study using the ‘big ideas’ as scaffolding, we see that they result in an extremely deep understanding. These seven ideas span a vast body of knowledge, holding together the common core Physics subjects of:
- Mathematical Methods (Big Ideas 5, 7)
- Classical Mechanics (Big Ideas 1, 2, 3, 4, 5)
- Electricity and Magnetism (Big Ideas 1, 2, 3, 4, 5, 6)
- Thermal and Statistical Physics (Big Idea 5, 7)
- Quantum Mechanics (Big Idea 2, 4, 5, 7)
I would be happy to guide you through developing an understanding of these core subjects of physics. If you would like to know more, please feel free to contact me. Also, please note that I have a rather extensive blog detailing these and several other extracurricular topics. I welcome you to peruse the blog at your leisure.
I look forward to hearing from you soon!
Pre-Calculus is an extension of Algebra, which is used to prepare for Calculus courses. The topics of study include, but are not limited to: an introduction to limits, rates of change, differentiation, and integration. A large majority of the problems will be word problems, all of which will have real-life applications.
I would be happy to help you with Pre-Calculus.
I am here to help will help you to acquire an in-depth understanding of basic concepts within Trigonometry.
The topics covered include the study of lengths, angles, and areas in triangles; trigonometric functions for triangles; functions; basic navigation; determining the height of an object; estimation of the width of a river; and the Pythagorean Theorem.