Professional Tutor: All College, Secondary and Elementary Mathematics

Dr. Craig A.

Algebra 1

Includes study of real numbers, basic algebraic operations, linear equations and inequalities, rectangular coordinate system, graphs of linear equations and linear systems. Applications and activities to build skills in problem solving are developed and reinforced.

Algebra 2

Includes simplification and basic operations on polynomials, exponents, factoring, rational expressions, radicals, and quadratic equations. Includes applications and activities to build skills in problem solving.

Elementary Math

Learning elementary math is key to mastering mathematics. I have instructed 5th-11th graders in elementary math as well as college students at Cuyahoga Community College. A strong foundation in elementary math is a requirement for success. Imagine trying to play monopoly without knowing the rules. It just would not make sense. The basic rules must be known and practiced to excel. Try me and you will be quite happy. I love mathematics and am driven to convey the points and practices necessary.

Geometry

Geometry introduces the study of points, segments, triangles, polygons, circles, solid figures, and their associated relationships as a mathematical system. Emphasis is placed on the description and use of inductive, deductive, and intuitive reasoning skills. Powers of abstract reasoning, spatial visualization and logical reasoning patterns are improved. Points, segments, triangles, polygons, circles, and solid figures are the structures studied. The focus is on comparisons between these figures concerning surface areas, volumes, congruency, similarity, transformations, and coordinate Geometry.

Linear Algebra

I have my MS in Management Science from CWRU's Weatherhead School of Management (my PhD is also from CWRU in the field of Mathematical Modeling). My core is in Operations Research with a concentration in Operations Management. I have taken linear algebra, linear programming, and advanced non-linear discrete optimization.

Prealgebra

Basic computational skills. Basic operations of whole numbers, integers, fractions, and decimals; ratios, proportions, and percents; averages, exponents and square roots; introduction to algebra; applications; math anxiety, study and test taking skills.

Precalculus

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. Functions studied include polynomial, exponential, logarithmic, rational, radical, piece-wise, and trigonometric and circular functions and their inverses. Parametric equations, vectors, and infinite sequences and series are also studied.

SAT Math

Proper preparation for the SAT is crucial for college admittance and consideration for academic scholarships. Not only does the subject material need to be mastered but, test taking strategy is paramount to success on the exam. I have worked with professors who have helped write the exam and I know of the methods used to construct the problems and associated answers. SAT content for the mathematics section includes: Number and operations questions. About a quarter of the mathematics questions address the following concepts: Arithmetic word problems (including percent, ratio, and proportion), Properties of integers (even, odd, prime numbers, divisibility, and so forth), Rational numbers, Sets (union, intersection, elements), Counting techniques, Sequences and series (including exponential growth), Elementary number theory. Algebra and functions questions. Just over a third of the mathematics questions address the following concepts: Substitution and simplifying algebraic expressions, Properties of exponents, Algebraic word problems, Solutions of linear equations and inequalities, Systems of equations and inequalities, Quadratic equations, Rational and radical equations, Equations of lines, Absolute value, Direct and inverse variation, Concepts of algebraic functions, Newly defined symbols based on commonly used operations. Geometry and measurement questions. Just over a quarter of the mathematics questions address the following concepts: Area and perimeter of a polygon, Area and circumference of a circle, Volume of a box, cube, and cylinder, Pythagorean theorem and special properties of isosceles, equilateral, and right triangles, Properties of parallel and perpendicular lines, Coordinate geometry, Geometric visualization, Slope, Similarity, Transformations. Data analysis, statistics, and probability questions. A little more than a tenth of the mathematics questions address the following co

Trigonometry

Topics include trigonometric functions and their values for all angles, vectors and oblique triangles, graphs of trigonometric functions, trigonometric identities and equations.