$45/hour

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I hold a master's degree in Theoretical Physics. I can speak English and Spanish fluently. In addition, I have been teaching for middle school, high school, technical colleges

*Below you have the rate structure for a given travel radius from my location for my tutoring services;
00-10 miles = $45/hr; 11-20 miles = $50/hr; 21-30 miles = $55/hr*

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This course examines the basic structure of real numbers, algebraic expressions, and functions. The topics studied are linear equations, inequalities, functions and systems, quadratic equations and functions, polynomial expressions, data analysis, probability, and the elementary properties of functions. Mathematical modeling of real-life problems and problem solving are major themes of the course.

Algebra 2 is the study of the complex number system, symbolic manipulation, and functions. Students discuss, represent, and solve increasingly sophisticated real-world problems using advanced algebraic and data analysis techniques incorporating technology. They also study the properties of functions, the algebra of functions, matrices, and systems of equations. Linear, quadratic, exponential, logarithmic, polynomial, and rational functions are studied with an emphasis on making connections to other disciplines and as preparation for a multitude of careers. Students apply advanced data analysis techniques to find, justify and use the best-fit model from all function models.

As a Physicist I have knowledge of partial and homogeneous differential equations a lot because all the physics concepts have to be expressed with differential equations. I use this very often.

Students study Geometry as a mathematical system through the deductive development of relationships in the plane and space developed intuitively in previous years. Students study congruent segments and angles, circle chords, secants and tangent segments, parallel and perpendicular lines, angle measure in triangles, direct and indirect triangle congruence and similarity, proofs, solids of revolution, logic, similar triangles, transformations, the Pythagorean Theorem, geometric constructions, coordinate geometry, and surface area and volume of solids.

The most important topic of this course are the study of vectors in the plane and space, systems of linear equations, matrices, determinants, vectors, vector spaces, linear transformations, inner products, eigenvalues and eigenvectors. As a physicist I use this very often, especially in Classical and Quantum Mechanics, Electromagnetism, General Relativity, Gravity and others. That means that all physicists must have this course as a part of their studies as I have. For this reason, I have all the tools to teach you Linear Algebra.

I hole a Master in Science in Physics. I have been a Professor of Physics at University of Puerto Rico Mayaguez, Rio Piedras, and Cayey campuses. In addition I have taught Advance Placement Physics and General High School Physics.

Precalculus completes the formal study of the elementary functions begun in Algebra 1 and Algebra 2. Students focus on the use of technology, modeling, and problem solving involving data analysis, trigonometric and circular functions, their inverses, polar coordinates, complex numbers, conics, and quadratic relations. Discrete topics include the Principles of Mathematical Induction, the Binomial Theorem, and sequences and series

I was born and raised on the island of Puerto Rico. Although my degree is in science, Spanish, English and German is part of my curriculum. I speak, write and read Spanish perfectly, this is my first language. English is my second. Because Puerto Rico is U.S. territory I understand very well American culture and language and I can do the matches or equivalences between them.

Topics include trigonometric functions; graphs of trigonometric functions; trigonometric identities and equations; inverse trigonometric functions; the Laws of Sines and Cosines; area; vectors; applications of trigonometry; complex numbers; polar coordinates, equations, and graphs; and a review of exponential and logarithmic functions.

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