Elijah Kelly

I'm a third-year engineering student at RIT, and the math department employs me to tutor the fundamentals of calculus. I’ve taught hundreds of students and have done one-on-one tutoring, where I’ve helped all three of my previously failing students pass. I believe anyone can learn calculus with proper understanding and the correct approach to learning.

Topics I can teach:

- Limits, limit laws, limits to infinity, continuity, etc

- Derivatives as rates of change, functions, polynomials, and exponential functions

- Finding derivatives through techniques like the limit definition of derivatives, product and quotient rule, trigonometric functions, chain rule, implicit, and logarithmic differentiation

- Applications of derivatives like related rates, linearization and differentials, maximum and minimum values, the mean value theorem, how derivatives shape, L’Hospital’s Rule, and optimization

- Antiderivatives, areas and distances, approximate integration, definite and indefinite integrals, the Fundamental Theorem of Calculus, net change theorem

- Substitution, trigonometric substitution, areas between curves, volumes, integration by parts, fraction/partial fraction decomposition, trigonometric integrals

- Improper integrals, integration of rational functions, arc length, average value