Ever stared at a calculus problem and thought, “I get the concept — but how do I actually solve this?” You’re not alone.

That moment of confusion is exactly why I created the Calculus 1 Example Problem Series on YouTube. Each short video walks you through a real problem — step by step — so you can connect the theory to practice, sharpen your skills, and feel ready for class, quizzes, and exams.

🎥 Start Watching the Calculus 1 Example Problem Videos

🎯 Why Example Problems Are the Key to Success

Understanding calculus isn’t just about memorizing formulas — it’s about learning how to think through problems logically and systematically.

In each video, you’ll learn how to:

• Break down complex problems into manageable steps

• Apply the right rule or technique with confidence

• Follow every calculation clearly and accurately

• Check your work against the final solution

This kind of guided practice is one of the fastest ways to improve your problem-solving skills and feel more prepared for anything your course throws at you.

📖 What You’ll Practice in This Series

These examples are pulled directly from Chapters 2–6 of Stewart’s Calculus: Early Transcendentals — a textbook used in many college courses. Each video focuses on solving problems methodically, making it perfect for extra practice or review.

🔹 Chapter 2: Limits and Continuity

• Evaluate limits from graphs and algebra

• Apply limit laws step by step

• Work with infinite limits, vertical asymptotes, and the Squeeze Theorem

🔹 Chapter 3: Derivatives

• Use the formal definition of a derivative

• Apply power, product, quotient, and chain rules

• Differentiate trig, exponential, and logarithmic functions

🔹 Chapter 4: Applications of Derivatives

• Sketch curves and find extrema

• Solve related rates problems

• Tackle optimization questions

🔹 Chapter 5: Integrals

• Compute definite and indefinite integrals

• Use substitution and other integration techniques

🔹 Chapter 6: Applications of Integrals

• Find area under curves

• Calculate volumes of solids of revolution

• Determine the average value of a function

Need a Quick Precalculus Refresher?

Sometimes, solving a calculus problem means brushing up on earlier math skills — like algebra, functions, or trigonometry. If you ever find yourself thinking, “Wait, how do I factor this again?” or “What’s the unit circle angle for π/3?” — I’ve got you covered.

Watch the Calculus Prep Series here
Includes downloadable guided notes for every topic.

Whether you need a quick refresher or a full review, this series is designed to strengthen your foundation and help you move through calculus problems with confidence.

Free Guided Notes for Every Topic

Don’t just watch — work along with me! I’ve created free guided notes for every section so you can follow along, stay organized, and build your own study guide.

Download the free Calculus 1 Guided Notes

Go Beyond Examples: The Full Calculus 1 Course

Want a deeper dive into the concepts behind the problems? This example series pairs perfectly with my full Calculus 1 course on YouTube, which includes:

• Concept-focused lectures that build understanding

• Guided practice problems and worked examples

• A logical flow through all major topics in Calculus 1

Start the full Calculus 1 Course here

Get Started Today

Calculus doesn’t have to be intimidating. With clear examples, guided notes, and step-by-step instruction, you can master it one problem at a time.

Watch the Example Problem Series now

And don’t forget to subscribe to my YouTube channel so you never miss a new video!