Centennial / Aurora and Surrounding
Expert Math Tutor

Centennial / Aurora and Surrounding
My Story

The object of teaching a student is to enable the student to get along without the teacher. The best compliment a tutor can receive from a student is the student saying "I don't need you anymore."

I offer these pages for you to get to know me as both a teacher and a person. I believe honesty is the best policy and that is how I live my life.

My Story is an honest autobiography of my life as a student with an emphasis on math. In it you will see how I progressed from a student, to a tutor, to a professional and back to a tutor again. You will also be able to read the good, the bad, and the ugly parts of my journey.

Texts of the following type are my goal. Results depend on how willing students are to spend time exercising their understanding.

Ryan and I began working together since his Algebra II class - about a year ago. We work as a team. The team goal is to transfer my knowledge and understanding to the student. These texts have become more and more frequent. Good Work Ryan!

Math is hard work and remains challenging for everyone (including me and your teachers). As your understanding grows, your appreciation grows, and math becomes more approachable and doable on your own without the aid of a tutor. Math knowledge is empowering, satisfying, and a builder of self-confidence. I'm dedicated to your success.

(click to hear introduction) ---> <--- (click to hear introduction)
By Professional Career I mean as an Actuary then Computer Programmer

Click on the title in the black menu bar at top of thumbnail to launch video in youtube.

Understanding Graphs

The Unit Circle
Proof Aliens Exist

The Ambiguous Case
Mean Value Theorem

Complex to Polar

Albert Einstein to Arnold Sommerfeld (1912)

"I occupy myself exclusively with the problem of gravitation and now believe I will overcome all difficulties. But this one thing is certain - I have become imbued with a great respect for mathematics. The subtle parts of which, in my ignorance, I had until now regarded as pure luxury."

What did Einstein mean when he said "the subtle points of mathematics seemed pure luxury"?

Physicists use mathematics as a tool to be used to accomplish something else. But real mathematicians are the guardians of precision and clarity of thought. What interests the mathematician is the mathematics itself. When a mathematician makes a statement, the statement takes into account every exception no matter how bizarre or unusual.

-Dr. David L. Goodstein

Another excellent student who sets the bar high for herself. Desire + Work = Success!

Who's next? We'll work together as a team!

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