William Casper

Numerade Educator
Professor

Biography

I am a research mathematician and enthusiastic teacher with more than ten years of teaching experience at multiple public universities. I have taught a wide variety of mathematics topics, from basic algebra and calculus all the way to graduate-level classes.

Education

William has not yet added their education credentials.

Educator Statistics

Numerade tutor for 4 years
20 Students Helped

Topics Covered

Breaking Limits: Unlock Your Potential with Our Expert Solutions
Exploring the World of Derivatives: A Comprehensive Guide

William's Textbook Answer Videos

1

William's Quick Ask Videos

03:12
Calculus 1 / AB

Use the IVT and Rolle's theorem/MVT to prove that the equation below has a unique solution in the associated interval. (Justify the use of any of the theorems). x^2 + 9x + 1 = 0
[-1,0]

William Casper
03:23
Calculus 1 / AB

Solve (x^2 - xy + y^2)dx - xydy = 0, y(1) = 0 by using the homogeneous equation.

William Casper
06:10
Calculus 1 / AB

Differential Equations: Find the Solution for
6y^2dx - x(2x^3 + y)dy = 0

William Casper
09:45
Calculus 1 / AB

Finding the general solution of this equation:
xy' - y = x^k y^n
Please also include the process so I can review it well. Thanks.

William Casper
05:06
Calculus 1 / AB

define the level curves of a function of two variables.
Describe how level curves can help you sketch a graph of a surface.
Give examples of several surfaces whose level curves are circles
and at least one example of a surface whose level curves are not
circles. Please explain with words.

William Casper
06:27
Calculus 3

using Bernoulli differential equations
sin y ( x + sin y) dx + 2x^2 cos y dy = 0

William Casper
1 2 3 4