### ACT Math

I am here to assist you in becoming a self-sustaining, lifelong learner by helping you achieve your fullest potential. As far as the ACT/SAT, I will help you acquire an in-depth understanding of basic concepts contained on the test. All of my courses are designed to incorporate your involvement through an inquiry-based approach. This hands on approach will help to develop skills such as critical thinking and problem solving, as well as how to how to frame and ask meaningful questions about mathematics and actively participate in discussions with mathematical rigor.

### Algebra 1

I would be happy to help you with Algebra.

### Algebra 2

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!

Algebra, derived from the Baghdad phrase Al Jabar - is the restoration of broken parts. Algebra II is a continuation of the topics contained in Algebra I, and focuses on solving systems of linear equations.

I strive to have students see through the equations, and realize the power of mathematical skills in their day-to-day life. By raising their confidence level in recognition, recall and proper application of the esoteric vocabulary of mathematics, I find that students can pick up the concepts fairly quickly.

### Astronomy

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 an Astronomy course called "Descriptive Astronomy: The Solar System". Although this course is intended for non-physics majors, I have been interested in Astronomy since a very young age.

The topics covered include the study of the historical development of astronomy; motion of the sun and the moon; solar and lunar eclipses; the seasons and the calendar; the sun and the planetary system; comets, meteoroids, and asteroids.

### Biology

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.

### Calculus

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!

### Chemistry

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!

Chemistry is all about the valence electrons in a system, and minimizing the potential energy within the electron configuration. By looking at Chemistry from a physical or thermodynamic perspective, the most important idea you can ever learn is the concept of Gibbs Free Energy. This chemical principle drove the formation of life!

Chemistry is a fundamental science and must be learned before any deep understanding of Biology or Physics can be achieved. Because Chemistry is so well-established, people often have trouble breaking through the memorization barrier. The only way to break through this barrier is to make the Periodic Table your best friend. I can help you realize what a powerful tool the Periodic Table of Elements truly is. The following is best said in a Boston or New York accent: "Na, MgAl SiPS Chlorine!"

### Differential Equations

While an undergraduate at Purdue University, I took numerous mathematics courses. I am experienced in Precalculus, Single Variable Calculus, Sequences and Series, Multivariate Calculus, Linear Algebra, Elementary Linear Differential Equations, Vector Calculus, and Mathematical Physics.

I am here to help will help you to acquire an in-depth understanding of basic concepts within Differential Equations through hands on learning. All of my courses are designed to incorporate your involvement through an inquiry based approach: developing skills such as critical thinking and problem solving, as well as how to actively participate in discussions with mathematical rigor. The topics covered include the study of the Method of Undetermined Coefficients, the Method of Variation of Parameters, Partial Fraction Decomposition, or the Method of Integrating Factors; among others. A large majority of the problems will be word problems, all of which will have real-life applications.

### Discrete Math

While an undergraduate at Purdue University, I took numerous mathematics courses. I am experienced in Precalculus, Single Variable Calculus, Sequences and Series, Multivariate Calculus, Linear Algebra, Elementary Linear Differential Equations, Vector Calculus, and Mathematical Physics.

I am here to help will help you to acquire an in-depth understanding of basic concepts within Discrete Mathematics through hands on learning. All of my courses are designed to incorporate your involvement through an inquiry based approach: developing skills such as critical thinking and problem solving, as well as how to actively participate in discussions with mathematical rigor. The topics covered include the study of the integers, set theory, logical statements, and graphs; among others. A large majority of the problems will be word problems, all of which will have real-life applications.

### Geometry

While an undergraduate at Purdue University, I took numerous mathematics courses. I am experienced in Precalculus, Single Variable Calculus, Sequences and Series, Multivariate Calculus, Linear Algebra, Elementary Linear Differential Equations, Vector Calculus, and Mathematical Physics.

I am here to help will help you to acquire an in-depth understanding of basic concepts within Geometry through hands on learning. All of my courses are designed to incorporate your involvement through an inquiry based approach: developing skills such as critical thinking and problem solving, as well as how to actively participate in discussions with mathematical rigor.

While studying Plane Analytic Geometry and Calculus, I obtained a bird's eye view of Geometry. The topics covered include the study of the Euclidean/Plane Geometry, Conic Sections, the coordinate plane, polygons, and higher-dimensional geometry. A large majority of the problems will be word problems, all of which will have real-life applications.

### Linear Algebra

I am here to help will help you to acquire an in-depth understanding of basic concepts within Linear Algebra through hands on learning. All of my courses are designed to incorporate your involvement through an inquiry based approach: developing skills such as critical thinking and problem solving, as well as how to actively participate in discussions with mathematical rigor.

The topics covered include the study of vector spaces, dimension, linear mappings, determinants, eigenvalue and eigenvector problems, and systems of linear equations; among others. A large majority of the problems will be word problems, all of which will have real-life applications.

### Organic Chemistry

While an undergraduate at Purdue University, I took numerous Chemistry courses. I am experienced in General and Organic Chemistry at the University level.

I am here to help will help you to acquire an in-depth understanding of basic concepts within General and Organic Chemistry through hands on learning. All of my courses are designed to incorporate your involvement through an inquiry based approach: developing skills such as critical thinking and problem solving, as well as how to actively participate in discussions with mathematical rigor.

The topics covered include the study of IUPAC nomenclature, covalent bonding and the shapes of molecules, Molecular Orbital Theory, stereochemistry and chirality, acids and bases, reactions of functional groups, nucleophilic substitution (SN1, SN2), infrared spectroscopy, nuclear magnetic resonance spectroscopy, and mass spectroscopy.

### Physics

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!

### Prealgebra

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 numerous mathematics courses. I am experienced in Precalculus, Single Variable Calculus, Sequences and Series, Multivariate Calculus, Linear Algebra, Elementary Linear Differential Equations, Vector Calculus, and Mathematical Physics.

The topics covered include the study of multiplication tables, fractions, multiplying negative numbers, graphing skills, and basic equation solving. A large majority of the problems will be word problems, all of which will have real-life applications.

### Precalculus

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.

### Trigonometry

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.