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I have the equivalent of a bachelor's degree in science, and was an associate professor for fifteen years teaching mathematics and physics at the National University of Central Peru.
I was also the author of several books. Not only this, but I had the honor of being a tutor and mentor for the Upward Bound Pre-Collegiate Program of the Florida International University for over five years, helping hundreds of students.
Solving linear equations.
Graphing relations and functions.
Analyzing linear equations.
Solving linear inequalities.
Solving systems of linear equations and inequalities.
Polynomials and factoring.
Quadratic and exponential functions.
Radical expressions and triangles.
Rational expressions and equations.
Statistics and probability.
Equations and inequalities.
Linear equations and functions.
Systems of linear equations and inequalities
Powers, roots, and radicals.
Exponential and logarithmic functions.
Rational equations and functions.
Quadratic relations and conic sections.
Sequences and series.
Probability and statistics.
Trigonometric ratios and functions.
Points, lines, line segments, rays and angles.
Relations and sizes congruent figures, similar figures.
Polygons, triangles and quadrilaterals.
Areas, polygons and circles.
Right triangle and the Pythagorean theorem.
Circles, definitions, and formulas.
Three dimensional figures.
Cylinders, cones and spheres.
Linear inequalities and inequalities with absolute values.
Functions: domain, range, and composition.
Roots and rational exponents.
Properties of logarithms and exponents.
Trigonometry: double-angle and half-angle formulas.
Graphing rational functions.
Exponential growth and decay.
The concept of angle, radians and arc length exercises.
The relation between sines and chords.
The word "sine," sines and right triangles.
The standard notation for a right triangle.
Right triangles and cosines.
The Pythagorean identity for sines and cosines.
Sines and cosines for special common angles.
Tangent in terms of sine and cosine. Tangents and right triangles, slopes of lines. Angles of elevation and depression.
Solving right triangles.
Inverse trig functions: arcsine, arccosine, and arctangent.
The other three trigonometric functions: cotangent, secant, and cosecant.
Properties of sines and cosines that follow from the definition.
Graphs of sine and cosine functions.
Graphs of tangent and cotangent functions.
Graphs of secant and cosecant functions.
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