Master Math with Clear, Step-by-Step Instruction
Welcome to Understand the Math, a channel dedicated to clear, accurate, and thoughtfully structured mathematics instruction for high school students, college students, and lifelong learners.
I’m Cheryl Hile, Ph.D. in Engineering Science and Applied Mathematics, with over 25 years of university teaching experience. Videos focus on building real understanding through worked examples and step-by-step problem-solving across algebra, trigonometry, precalculus, calculus, linear algebra, and ordinary differential equations.
Free guided notes are linked in each video description to support practice and review.
📌 Subscribe for structured math instruction designed to build real understanding and 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?
1 month ago | [YT] | 1
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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
1 month ago | [YT] | 0
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Understand The Math
Cosine is positive in Quadrant II.
See the explanation in this example: https://youtu.be/lFpbswAA3a0
1 month ago | [YT] | 0
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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
1 month ago | [YT] | 0
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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…
1 month ago | [YT] | 0
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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
11 months ago | [YT] | 0
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Understand The Math
What is the most effective way for you to learn math?
1 year ago | [YT] | 3
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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
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Understand The Math
What math class do you plan on taking this upcoming fall? Comment below!
1 year ago | [YT] | 0
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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
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