I have been tutoring and/or teaching for more than three decades. I love people and I love what I do. I tutor all levels of math using different methods, including the Singapore Method. Among my current students' subjects are: university level: engineering math, differential calculus, vector calculus, linear algebra, statistics; high school: AP calculus, statistics, trigonometry, and the other basic math, and the range of standardized test preps. One of my greatest joys is knowing that I h... [more]

Algebra 1

Algebra 1, for most students, is the first year of math in high school. We need Algebra 1 because there are many things in life that we do not know. Algebra 1 teaches you how to find the unknown, which we usually represent by 'x', or 'y' or some other letter, by using other information that is given to you. Example: Given that 3x = 18, what is the value of x? You divide both sides by 3, and the result is x = 6.

Algebra 2

Not to be confused with the focus of Trigonometry, Algebra II is geared to solving mathematical problems focused on equations and inequalities, algebraically or graphically.

Calculus

I have had great success with students at the high school level as well as students in computer programming and engineering at the university level. With my science background and concentrations in Math, Economics and business at different levels, I am able to apply calculus in diverse disciplines.

Geometry

Geometry is the branch of mathematics that deals with the properties, measurement, and relationships of points, lines, angles, surfaces, and solids - plane geometry, co-ordinate geometry, and 3-D geometry.

Prealgebra

Prealgebra by its very name is self explanatory. It equips the student with the tools necessary to handle algebra. It helps the student to better understand, work with and solve equations involving the operations of addition and subtraction. As such they learn the natural number system, integers, fractions, decimals, negative numbers, factorization of natural numbers, simple roots and powers, and the associative and distributive properties of addition / subtraction. Prealgebra may also contain some simple geometry as an application of variable manipulation as it pertains to area and volume.

Precalculus

Pre-calculus, a combination of algebra and trigonometry, is an introduction to Analysis, that explores topics that will be applied in calculus.

Trigonometry

If you understand that a^2 + b^2 = c^2, where c is the hypotenuse of a right-triangle, and 'a', 'b' are the legs, then you are well on your way to understanding that sin^2(x) + cos^2(x) = 1 where 1 is the measure of the radius in the unit circle. My mantra over the years in teaching Trigonometry has been this, "If you are kind and learn to love Pythagoras, he will be kind and not abandon you in Trigonometry." Trigonometry is math that deals with triangles. It explores relationships between angles that are associated with triangles. Whether you do trigonometry at high school or college level, you will be introduced to and acquire knowledge about the sides and angles of plane or spherical triangles, and calculations based on them.

Statistics

I taught statistics at university level. Among the various fields in which Statistics can be applied, I dealt with decision making and risk taking in business and economics. I have also taught Statistics for the Social Sciences, as well as Operations Research which uses Statistics to optimize solutions to complex problems, for example, Queuing and Waiting Time, and Total Quality Management.

SAT Math

The SAT standardized test is really a critical thinking test, using math as the basis for testing your thinking. It pre-supposes that you have been exposed to a certain body of material: Arithmetic-type material, Algebra I, Geometry, and Algebra II. It's not about working long and hard, but really about being alert and working smart.

GRE

The GRE is a test which is required for admission to many universities in the US. It has been recently changed to a computer-adaptive test which checks for proficiency in math, interpretation of charts and graphs, vocabulary in-context, and reasoning.

GED

Over my many years of teaching and tutoring I have helped countless students to build confidence in their ability to take that most important step towards the next level in their educational development. General Educational Development for non-traditional students - ones who do not complete high school within the expected time frame and age category - measures high-school level skills and knowledge. As such the GED test is the means by which a student earns the equivalent of their high school diploma. It is the first milestone on a students path to college, and the first day of their new future.

GMAT

I am uniquely qualified to tutor the GMAT because of the diversity of courses of study that I have pursued. I have joint majors in math and economics, graduate studies in business administration, and doctoral studies in philosophy and logic. I have been a business owner, and I have also taught Quantitative Methods, and Probability and Statistics for Business and Economics as well as for the Social Sciences. In addition, I have an excellent command of the English language; I am a published author, and have co-written several memoirs and participated in several steering committees and advisory boards pertaining to a variety of social issues.

Probability

Probability speaks about the likelihood of an event taking place. Each outcome of any given event is assigned a value of zero through 1. Each likely outcome of an experiment is assigned a probability value such that the sum of the probabilities of all the outcomes total one. Examples of outcomes whose simple probabilities are equal: 1. Flipping a coin: - P(H) = P(T) = 1/2 2. Rolling a die: - P(1) = P(2) = P(3) = P(4) = P(5) = P(6) = 1/6

PSAT

All students interested in being considered for the National Merit List, should make the PSAT a must. The new configuration of this preliminary standardized test is also an excellent means of familiarizing students with the SAT, though no upper level math is required.

SSAT

From my many years of experience tutoring the SSAT I have come to realize that the test prep is most useful in filling any gaps due to the differences in curricula from school to school. Private school may be a wonderful alternative - and sometimes necessary alternative - to the public school system. However, when it's time to go off to Secondary level - even within the same private school system - there must be a standardized means to determine admission. The SSAT does just that. The test consists of a short essay and multiple choice aptitude questions. The aptitude testing concentrates on math, reading comprehension and the use of language.

ACT Math

The ACT math section comprises 60 questions to be done within 1-hour. The key is knowing the facts in pre-algebra, algebra, geometry, and basic trigonometry, and doing some critical thinking, to use all the information that you are given, even when the information is in the answer choices.

Elementary Math

Elementary math is focused on introducing students to the basic operations - addition, subtraction, division and multiplication - and helping them to master these skill that are needed to handle the other levels of math. Elementary math also teaches students how to apply these tools to activities in everyday life.

Discrete Math

Over two decades ago I was invited by Concordia University to teach math in the Faculty of Commerce, Department of Decision Sciences and Management Information Systems. My career started with Probability and Statistics for Science and Economics, and Quantitative Methods, teaching students in the MBA program. Discrete Math is an active branch of contemporary math that is used in business, finance, economics, and the life- and social sciences. My first cycle degree, BSc - Math/Economics, positioned me to influence students' perception of the usefulness and applicability of math, and Discrete Math helped me to do just that. That is the experience, passion and focus that I make available to students.

Differential Equations

At the very foundation, Differential Equations are used to figure out the resultant change in a dependent variable, as the result of change in an independent variable of which the former is a function. With a Major in Math and Economics, I have been tutoring students in differential equations for the past 12 years. During that time I have successfully helped many students prepare for their AP Calculus (AB and BC) exams. I have dealt with Differential Equations as it relates to - among others - Related Rates,and Maxi-Min problems with students of physics, economics, business and management, and the social sciences.

Biostatistics

My Science degree from Concordia University was with a Major in applied math. One of the areas of application was statistics for the sciences, which addressed the topics of experimental design, clinical trials, cross correlations between phenomena; and the inferences based on the tests of hypotheses pertaining to genes, cross breading, hybrids, and the predisposition to particular traits in offspring based on traits in the parents. I have practical experience in teaching students of Biostatistics how to ensure the appropriateness of experimental design; understanding the language of statistics; the choice of tests and the inferences that can be made based on test of hypotheses; and the importance of the power of an experiment, or its sensitivity to detect a real effect of independent variables in an experiment.

ISEE

I am qualified to tutor ISEE because I have extensive experience tutoring students who are in private and independent schools. I have tutored ISEE in other settings and with other institutions/training centers. I also tutor other tests such as SSAT at this same level, and the PERT college prep course.

Linear Algebra

Linear Algebra is about very practical application of mathematics. It is a view of the many discrete applications in our reality. As a professor of applied math at Concordia University, I taught math for the decision sciences. Among the courses taught were subjects focused heavily on deterministic methods. So it is that Linear Algebra figured heavily in my undertakings. Since I taught with the departments of management and business, in the Commerce Faculty, Linear Algebra was used in game theory which really governs decision making in competitive environments, risk taking, and investment - all of which use matrices and vectors in approaching solutions to problems. Linear Algebra was also used to solve production problems - resource allocation, profitability - and figures heavily in the management sciences, through linear programming.