Elias H.


Elias H.

Tutor

Broomfield, CO 80023

Will travel 20 miles

$45 per hour.

4.94 33 ratings

Math, Science, and Engineering

I am a firm believer in dedication and hard work. I have seen firsthand the results that come with this kind of attitude. As a summa cum laude Mathematics major and an Electrical Engineering major, I have gained exposure and mastery over a wide range of math and science courses. In that time, I have had the privilege of tutoring both high school and college students. I have also spent the last two years teaching math to middle school students as well. I believe that mastery of math empow... [more]


Algebra 1

I have taken college preparatory lessons in Algebra 1 that have allowed me to master fundamental concepts of arithmetic. These concepts include, but are not limited to, order of operations, graphing and solving linear and quadratic equations, multiplying binomials, and solving numerical, geometric, and algebraic ratios. I applied many mathematical properties to succeed in these areas. These properties included the Zero-Product Property, Pythagorean Theorem, and the Quadratic Formula.


Algebra 2

I am proficient in Algebra 2, and a number of it's principles. As a student in high school, I covered it's most basic concept: properties of polynomial, exponential and logarithmic functions to include their graphs and inverses. I also applied the properties of functions in order to solve systems of equations. In this time, I mastered algebraic fluency by reviewing factoring techniques, simplifying rational expressions, and solving equations. As a consequence, I have handled problems which require a greater depth of thinking and problem solving than those encountered in most Algebra courses.


Calculus

During my time in college I took Calculus I,II, and III. As a result, I have become well acquainted with limits, derivatives, and integrals. I have also explored properties of sequences and series; while applying convergence tests to investigate the convergence and divergence of power series.


Chemistry

During my time in high school, I successfully passed my Chemistry, and AP Chemistry courses. Areas covered included atomic structure, periodic law, chemical composition, bonding, the investigation of atomic theory, gas laws, chemical reaction types, stoichiometry, equilibrium, kinetics, electrochemistry, and thermodynamics.


Geometry

During my time in high school, I took a full-year course of Euclidean concepts involving both plane and solid geometry. In that time, I studied a wide range of topics: perimeter, area, graphing and equations, geometric properties, spatial visualization, congruence with triangles, conjecture and explanation along with the writing of proofs, right-triangle trigonometry, ratios, similarity, probability, and properties of polygons, circles, and solids.


Physics

I have taken more than two years worth of Physics courses. In that time, I have covered a wide range of topics. Some of these topics include, but are not limited to: kinematics (the description of position, velocity, and acceleration), forces, gravitation, energy, momentum, torque, fluid mechanics, oscillations, waves, sound, light, optics, and thermodynamics. Lecture, problem solving, and laboratory investigations have allowed me to apply these topics in a way that develops logical thinking, analytical reasoning, and quantitative analysis skills.


Prealgebra


Precalculus

As a math student, I acquired algebraic and trigonometric competencies essential to the study of calculus. I applied algebraic, trigonometric, exponential, and logarithmic functions to graph and use in applications. I also solved linear and nonlinear equations and inequalities, systems of equations and inequalities, and applied sequences and series with facility.


Trigonometry


Linear Algebra

I am a summa cum laude Mathematics major and an Electrical Engineering major. I have a good understanding of vector spaces, linear operators and linear systems. While I was at Fort Valley State University, emphasis was placed on finite-dimensional vector spaces, linear transformations and matrix algebra. Topics included determinants, Gauss method, Gauss-Jordan method, Cramer's rule, eigenvalues and eigenvectors, diagonalization of matrices and application of linear methods to solve non-linear problems.


Logic

During my time in college, I became well acquainted with Logic. I utilized it for more than two years while pursuing my Electrical Engineering degree. In that time, I have encountered a wide range of topics. Some of these topics include, but are not limited to Boolean operators, DeMorgan?s Law, Truth Tables and Form Expressions. This has allowed me to put together analog and digital circuits that were both simple and complex. Digital logic was the bedrock for one of my semester projects.


Electrical Engineering

I recently graduated from the Georgia Institute of Technology with a Bachelors degree in Electrical Engineering. In that time, I have studied a wide range of topics. Some of these topics include, but are not limited to, electromagnetism, analog and digital circuits, electrical energy systems, and signal processing. I have also become well acquainted with several of the software languages used by electrical engineers. These include, LTSpice, PSpice, Matlab, Multisim, LabVIEW, and C programming.