Understand The Math

Master Math with Clear, Step-by-Step Tutorials

Welcome to Understand the Math! This channel is your go-to resource for clear, easy-to-follow math tutorials—perfect for high school, college, and lifelong learners.

I’m Cheryl Hile, Ph.D. in Engineering Science and Applied Mathematics, with 25+ years of university teaching experience. My goal is to make high-quality instruction accessible so you can build confidence and succeed in:

Algebra: Functions, equations, polynomials, exponentials, logs, matrices, conics, sequences
Trigonometry: Angles, triangles, functions, graphs, identities, equations, applications
Precalculus: Algebra, trigonometry
Calculus: Limits, derivatives, integrals, applications
Linear Algebra: Systems, matrices, determinants, vector spaces, eigenvalues, orthogonality

Each video includes: Clear explanations, step-by-step problem-solving, worked-out examples
Guided notes are in descriptions to help you practice and review.
📌 Subscribe and master math with confidence!


Understand The Math

Getting ready for a math exam soon?
Here’s a simple reminder that can make a big difference: how you study matters just as much as what you study.

If you missed it, I recently shared a video that walks through 5 practical strategies to help you feel more organized, focused, and confident on exam day — no matter which math class you’re taking.

If you want a clear plan for reviewing notes, organizing formulas, and practicing problems effectively, this video can help.

🎥 Watch here: https://youtu.be/XWi9SPXhaaw

Which part of math exam prep do you find most helpful—reviewing notes, memorizing formulas, or working practice problems?

3 weeks ago | [YT] | 1

Understand The Math

Starting your week with Calculus 1 review?
Here’s a set of resources many students use to feel more confident before finals.

This review series walks through exam-style practice problems with clear, step-by-step solutions. Each video focuses on one topic at a time, making it easy to review limits, derivatives, integrals, and applications throughout the week.

Exam Review Playlist:
www.youtube.com/playlist?list...

Free Practice Problem PDF:
www.understandthemath.com/calculus1-exam-review

3 weeks ago | [YT] | 0

Understand The Math

Cosine is positive in Quadrant II.

See the explanation in this example: https://youtu.be/lFpbswAA3a0

3 weeks ago | [YT] | 0

Understand The Math

Reviewing Calculus 1 Example Problems? 📘

This playlist features step-by-step solutions to key Calculus 1 problems, organized by topic. Each video focuses on one example at a time so you can review core concepts and strengthen your problem-solving skills alongside your main lessons.

Topics covered include:
• Limits and continuity
• Derivative rules and applications
• Curve sketching, related rates, and optimization
• Integrals and substitution
• Applications of integrals such as area, volume, and average value

Example Problems Playlist:
www.youtube.com/playlist?list...

Free Guided Notes 📝
www.understandthemath.com/calculus-1

3 weeks ago | [YT] | 0

Understand The Math

Preparing for Your Linear Algebra Exam?

Review essential concepts and problem types with my Linear Algebra Exam Review Course — each video walks through step-by-step examples commonly tested in university-level linear algebra.

Topics Included:
• Linear systems
• Linear transformations
• Matrix algebra
• Determinants
• Vector spaces
• Eigenvalues and eigenvectors
• Orthogonality and least squares

Exam Review Playlist:
www.youtube.com/playlist?list...

Free Guided Notes:
www.understandthemath.com/linear-algebra-exam-revi…

4 weeks ago | [YT] | 0

Understand The Math

🔢 Building Confidence in Math—One Step at a Time! 🔢

Math isn’t about memorization—it’s about understanding the “why” behind the concepts. Whether you're working through algebra, trigonometry, calculus, or linear algebra every concept connects to a bigger picture.

💡 Keep pushing forward, keep practicing, and most importantly—keep believing in yourself!

What math topic are you currently working on? Drop a comment below! 👇

#UnderstandTheMath #MathConfidence #KeepLearning #Algebra #Trigonometry #Calculus #LinearAlgebra

10 months ago | [YT] | 0

Understand The Math

What is the most effective way for you to learn math?

1 year ago | [YT] | 3

Understand The Math

Are there any trigonometry or linear algebra questions that you would like to have answered that are not covered in the videos that I have posted up to this point? If so, drop them in a comment below and I'll address them here or make a video with the answer!

1 year ago | [YT] | 0

Understand The Math

What math class do you plan on taking this upcoming fall? Comment below!

1 year ago | [YT] | 0

Understand The Math

What math video topics would you like to see on this channel in the future? Comment below!

1 year ago | [YT] | 1