James Kiley

Arizona State University
I've never held an official teaching position but I was the kid many students asked for help from.

Biography

I am a college graduate who majored in Mechanical Engineering. I am enthusiastic and driven. I have loved math from elementary school to college and will continue to love math for the rest of my life. At ASU I received a grade of A+ in Calculus I, Calculus II, and Differential Equations. I received an A in Linear Algebra as well. These are all subjects I feel extremely confident in. Math has always been very intuitive for me and I feel that I can teach others how to use their own intuition to take their ability even further. There is a difference between memorization and understanding, and this difference is highlighted within the subject of mathematics. If one can understand the mathematical reasoning behind the procedure for a certain problem, then one will never forget how to solve the problem. My videos will focus on developing an understanding of the procedure used to solve the problem using intuitive and concise explanations rather than simply describing the necessary steps to complete the problem.

Education

BS Mechanical Engineering
Arizona State University

Educator Statistics

Numerade tutor for 6 years
6 Students Helped

Topics Covered

Mastering the Basics of Parametric Equations: A Comprehensive Guide
Polar Coordinates: Understanding the Basics and Applications
Power Series

James's Textbook Answer Videos

06:12
Calculus Early Transcendentals

Find parametric equations for the path of a particle that moves along the circle $x^{2}+(y-1)^{2}=4$ in the manner described.
(a) Once around clockwise, starting at $(2,1)$
(b) Three times around counterclockwise, starting at $(2,1)$
(c) Halfway around counterclockwise, starting at $(0,3)$

Chapter 10: Parametric Equations and Polar Coordinates
Section 1: Curves Defined by Parametric Equations
James Kiley
02:21
Calculus for Scientists and Engineers: Early Transcendental

How do you find the coefficients of the Taylor series for $f$ centered at $a ?$

Chapter 10: Power Series
Section 3: Taylor Series
James Kiley
01:36
Calculus for Scientists and Engineers: Early Transcendental

How do you find the interval of convergence of a Taylor series?

Chapter 10: Power Series
Section 3: Taylor Series
James Kiley
01:11
Calculus for Scientists and Engineers: Early Transcendental

In terms of the remainder, what does it mean for a Taylor series for a function $f$ to converge to $f ?$

Chapter 10: Power Series
Section 3: Taylor Series
James Kiley
05:32
Calculus for Scientists and Engineers: Early Transcendental

Write the Maclaurin series for $e^{2 x}$

Chapter 10: Power Series
Section 3: Taylor Series
James Kiley
06:08
Calculus for Scientists and Engineers: Early Transcendental

a. Find the first four nonzero terms of the Taylor series for the given function centered at a.
b. Write the power series using summation notation.
$$f(x)=1 / x, a=1$$

Chapter 10: Power Series
Section 3: Taylor Series
James Kiley
1