Aaron Miller

University of California, Davis
Instructor

Biography

I've always wanted to pursue a career in education because I feel at my best when I can help others succeed and watch their progress. In college I worked with a team to convert a custom physics textbook to an online wiki accessible by UC Davis students. I accepted a position as a physics teacher at a private high school in San Francisco almost immediately after I graduated, but I decided soon after that I needed to apply my skills in a different role as an educator. I moved to Washington to be closer to my family for a while, and I started tutoring with Mathnasium right before the pandemic got serious. For a few months I was instructing kids of all ages for about 30 hours online every week; I loved talking about physics and math from home and watching students get better with each week. After moving back to California, I gave up my job with Mathnasium so I could experiment with new career options, and I'm excited about this opportunity with Numerade! I'm familiar with creating and editing educational content online for remote student access, and I have experience delivering engaging lessons using a camera and microphone. I'm attracted to a position like this one on Tutorcast where I can be create and inspire students from my own home.

Education

BS physics
University of California, Davis

Educator Statistics

Numerade tutor for 6 years
38 Students Helped

Topics Covered

Mastering the Rotation of Rigid Bodies: Tips & Techniques
Explore the Fascinating Dynamics of Rotational Motion
Understanding Equilibrium and Elasticity: A Comprehensive Guide
Motion in 2d or 3d
Understanding Moment Impulse and Collisions for Better Physics
Functions
Mastering Exponential and Logarithmic Functions: Your Ultimate Guide
Mastering the Basics of Parametric Equations: A Comprehensive Guide
Polar Coordinates: Understanding the Basics and Applications
Master Trigonometry with Our Comprehensive Guide
Mastering Vectors: An Introduction to Vector Basics
Understanding Complex Numbers: A Comprehensive Guide
Breaking Limits: Unlock Your Potential with Our Expert Solutions
Mastering Integrals: Tips and Tricks for Calculus Success
Mastering Multiple Integrals: Techniques and Tips
Stand Out with Differentiation Strategies | Boost Your Business
Kinetic Theory Of Gases
Mastering Partial Derivatives: Essential Techniques and Tips
Electric Forces and Electric Fields

Aaron's Textbook Answer Videos

09:54
University Physics with Modern Physics

Exactly one turn of a flexible rope with mass $m$ is wrapped around a uniform cylinder with mass $M$ and radius $R .$ The cylinder rotates without friction about a horizontal axle along the cylinder axis. One end of the rope is attached to the cylinder. The cylinder starts with angular speed $\omega_{0} .$ After one revolution of the cylinder the rope has unwrapped and, at this instant, hangs vertically down, tangent to the cylinder. Find the angular speed of the cylinder and the linear speed of the lower end of the rope at this time. You can ignore the thickness of the rope. [Hint: Use Eq. $(9.18) . ]$

Chapter 9: Rotation of Rigid Bodies
Aaron Miller
05:36
Precalculus

An airplane flies 220 miles with a heading of $40^{\circ},$ and then flies 180 miles with a heading of $170^{\circ} .$ How far is the plane from its starting point, and at what heading? Round answers to the nearest to the nearest tenth.

Chapter 8: Further Applications of Trigonometry
Section 2: Non-right Triangles: Law of Cosines
Aaron Miller
05:15
Precalculus: Graphical, Numerical, Algebraic

Spread of FIu The number of students infected with flu at Springfield High School after $t$ days is modeled by the function
$$
P(t)=\frac{800}{1+49 e^{-0.2 t}}
$$
(a) What was the initial number of infected students?
(b) When will the number of infected students be 200$?$
(e) The school will close when 300 of the 800 -student body
are infected. When will the school close?

Chapter 3: Exponential, Logistic, and Logarithmic Functions
Section 2: Exponential and Logistic Modeling
Aaron Miller
14:52
Thomas Calculus

Let $D$ be the smaller cap cut from a solid ball of radius 2 units by a plane 1 unit from the center of the sphere. Express the volume of $D$ as an iterated triple integral in (a) spherical, (b) cylindrical, and (c) rectangular coordinates. Then (d) find the volume by evaluating one of the three triple integrals.

Chapter 15: Multiple Integrals
Section 6: Triple Integrals in Cylindrical and Spherical Coordinates
Aaron Miller
07:02
Physics Principles with Applications

A marble of mass $m$ and radius $r$ rolls along the looped
rough track of Fig. $8-58$ . What is the minimum value of
the vertical height $h$ that the marble must drop if it is to
reach the highest point of the loop without leaving the
track? Assume $r \ll R,$ and ignore frictional losses.

Chapter 8: Rotational Motion
Aaron Miller
10:05
Vector Mechanics for Engineers: Statics and Dynamics

Shown is the cross section of an idler roller. Determine its mass moment of inertia and its radius of gyration with respect to the axis $A A^{\prime}$. (The specific weight of bronze is $0.310 \mathrm{lb} / \mathrm{in}^{3} ;$ of aluminum, $\left.0.100 \mathrm{lb} / \mathrm{in}^{3} ; \text { and of neoprene, } 0.0452 \mathrm{lb} / \mathrm{in}^{3} .\right)$

Chapter 9: Distributed Forces: Moments of Inertia
Section 5: Mass Moments of Inertia
Aaron Miller
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