Lili Schantz

University of Notre Dame
Algebra and AP Calculus AB and BC tutor

Biography

I'm a recent high school graduate and will be attending the University of Notre Dame in the fall for a B.S. in Computer Science. I have a passion for STEM and enjoy sharing my passion with other students. I am good at coming up with creative ways to engage students and adjusting my teaching style to best fit the students learning style.

Education

BS Computer Science
University of Notre Dame

Educator Statistics

Numerade tutor for 6 years
376 Students Helped

Topics Covered

Mastering the Basics of Parametric Equations: A Comprehensive Guide
Polar Coordinates: Understanding the Basics and Applications
The Power of Algebraic Language: Unlocking Mathematical Potential
Maximize Your Results with our Percent-Based Solutions
Mastering Equations and Inequalities: Your Guide to Mathematical Success
Rational Functions: Understanding Their Properties and Applications
Mastering Exponents and Polynomials: A Comprehensive Guide
Mastering Linear Functions: A Comprehensive Guide
Mastering Quadratic Functions: Unlocking Their Power
Mastering Polynomials: Essential Tips and Tricks | [Brand Name]
Master Trigonometry with Our Comprehensive Guide
Functions
Introduction to Conic Sections
Mastering Matrices: Essential Tips and Tricks | Boost Your Math Skills
Solving Systems of Equations and Inequalities: A Comprehensive Guide
Differential Equations Made Simple: Expert Tips & Resources
Mastering Vectors: An Introduction to Vector Basics
Unlock Insights with Data-Driven Graphs & Statistics

Lili's Textbook Answer Videos

01:22
Thomas Calculus

Find a parametrization for the circle $(x-2)^{2}+y^{2}=1$ starting at $(1,0)$ and moving clockwise once around the circle, using the central angle $\theta$ in the accompanying figure as the parameter.

Chapter 11: Parametric Equations and Polar Coordinates
Section 1: Parametrizations of Plane Curves
Lili Schantz
02:47
Precalculus

In Exercises $33-38,$ find$\operatorname{proj}_{\mathbf{w}} \mathbf{v}$. Then decompose $v$ into two vectors, $\mathbf{v}_{1}$ and $\mathbf{v}_{2},$ where $\mathbf{v}_{1}$ is parallel to w and $\mathbf{v}_{2}$ is orthogonal to w.
$$\mathbf{v}=\mathbf{i}+3 \mathbf{j}, \quad \mathbf{w}=-2 \mathbf{i}+5 \mathbf{j}$$

Chapter 6: Additional Topics in Trigonometry
Section 7: The Dot Product
Lili Schantz
02:44
Precalculus

In Exercises $33-38,$ find$\operatorname{proj}_{\mathbf{w}} \mathbf{v}$. Then decompose $v$ into two vectors, $\mathbf{v}_{1}$ and $\mathbf{v}_{2},$ where $\mathbf{v}_{1}$ is parallel to w and $\mathbf{v}_{2}$ is orthogonal to w.
$$\mathbf{v}=2 \mathbf{i}+4 \mathbf{j}, \quad \mathbf{w}=-3 \mathbf{i}+6 \mathbf{j}$$

Chapter 6: Additional Topics in Trigonometry
Section 7: The Dot Product
Lili Schantz
01:38
Precalculus

In Exercises $33-38,$ find$\operatorname{proj}_{\mathbf{w}} \mathbf{v}$. Then decompose $v$ into two vectors, $\mathbf{v}_{1}$ and $\mathbf{v}_{2},$ where $\mathbf{v}_{1}$ is parallel to w and $\mathbf{v}_{2}$ is orthogonal to w.
$$\mathbf{v}=\mathbf{i}+2 \mathbf{j}, \quad \mathbf{w}=3 \mathbf{i}+6 \mathbf{j}$$

Chapter 6: Additional Topics in Trigonometry
Section 7: The Dot Product
Lili Schantz
01:43
Precalculus

In Exercises $33-38,$ find$\operatorname{proj}_{\mathbf{w}} \mathbf{v}$. Then decompose $v$ into two vectors, $\mathbf{v}_{1}$ and $\mathbf{v}_{2},$ where $\mathbf{v}_{1}$ is parallel to w and $\mathbf{v}_{2}$ is orthogonal to w.
$$\mathbf{v}=2 \mathbf{i}+\mathbf{j}, \quad \mathbf{w}=6 \mathbf{i}+3 \mathbf{j}$$

Chapter 6: Additional Topics in Trigonometry
Section 7: The Dot Product
Lili Schantz
01:20
Precalculus

In Exercises 39–42, let
$$\mathbf{u}=-\mathbf{i}+\mathbf{j}, \quad \mathbf{v}=3 \mathbf{i}-2 \mathbf{j}, \quad \text { and } \quad \mathbf{w}=-5 \mathbf{j}$$
Find each specifi ed scalar or vector.
$$\operatorname{proj}_{\mathbf{u}}(\mathbf{v}-\mathbf{w})$$

Chapter 6: Additional Topics in Trigonometry
Section 7: The Dot Product
Lili Schantz
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