I have been a TA for 5 courses now, at the University of Toronto. I have prepared and taught lessons for first and second year students of Linear Algebra, Calculus 1 (2x), and Ordinary Differential Equations (2x). I have also experienced creating and administering weekly quizzes in my tutorials.
I also have experience as a private math tutor for a high school student. I meet with this student once a week and his grades have improved by about 25% since we started. I have been tutoring him for 3 years now (he is currently in 11th grade), and as a result he is consistently getting marks in the high 80s to 90s range.
Sketch the region enclosed by the given curves and find its area.
$ y = \sinh x $ , $ y = e^{-x} $ , $ x = 0 $ , $ x = 2 $
$ y = \frac{1}{x} $ , $ y = x $ , $ y = \frac{1}{4}x $ , $ x > 0 $
$ y = \frac{1}{4}x^2 $ , $ y = 2x^2 $ , $ x + y = 3 $ , $ x \ge 0 $
The graphs of two functions are shown with the areas of the regions between the curves indicated.(a) What is the total area between the curves for $ 0 \le x \le 5 $?(b) What is the value of $ \displaystyle \int_{0}^5 [f(x) - g(x)] dx $?
$ y = \frac{x}{\sqrt{1 + x^2}} $ , $ y = \frac{x}{\sqrt{9 - x^2}} $ , $ x \ge 0 $
$ y = \frac{x}{1 + x^2} $ , $ y = \frac{x^2}{1 + x^3} $
