Loading…

Power Series | Study Mondo

Power Series

Power series basics, radius and interval of convergence, differentiation and integration

🎯⭐ INTERACTIVE LESSON

Try the Interactive Version!

Learn step-by-step with practice exercises built right in.

Start Interactive Lesson →

∬ Power Series

Study power series, find radius and interval of convergence, and differentiate/integrate power series.

📚 Practice Problems

No example problems available yet.

Explain using:

📋 AP Calculus BC — Exam Format Guide

⏱ 3 hours 15 minutes📝 51 questions📊 4 sections

Section	Format	Questions	Time	Weight	Calculator
Multiple Choice (No Calculator)	MCQ	30	60 min	33.3%	🚫
Multiple Choice (Calculator)	MCQ	15	45 min	16.7%	✅
Free Response (Calculator)	FRQ	2	30 min	16.7%	✅
Free Response (No Calculator)	FRQ	4	60 min	33.3%	🚫

📊 Scoring: 1-5

Extremely Qualified

~44%

Well Qualified

~18%

Qualified

~19%

Possibly Qualified

~11%

No Recommendation

~8%

💡 Key Test-Day Tips

✓Know your series tests
✓Parametric/polar problems appear every year
✓AB subscore is included

⚠️ Common Mistakes: Power Series

Avoid these 4 frequent errors

🌍 Real-World Applications: Power Series

See how this math is used in the real world

📝 Worked Example: Related Rates — Expanding Circle

Problem:

A stone is dropped into a still pond, creating a circular ripple. The radius of the ripple is increasing at a rate of $2$ cm/s. How fast is the area of the circle increasing when the radius is $10$ cm?

2Write the relationship between variables

3Differentiate both sides with respect to time

4Substitute known values

Next Topic →

Taylor & Maclaurin Series

🎴

Practice with Flashcards

Review key concepts with our flashcard system

📖

Browse All Topics

Explore more AP Calculus BC topics

📌 Related Topics in Power Series & Taylor/Maclaurin

Taylor & Maclaurin Series Lagrange Error Bound Series Applications

❓ Frequently Asked Questions

What is Power Series?▾

Power series basics, radius and interval of convergence, differentiation and integration

How can I study Power Series effectively?▾

Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Regular review and active practice are key to retention.

Is this Power Series study guide free?▾

Yes — all study notes, flashcards, and practice problems for Power Series on Study Mondo are 100% free. No account is needed to access the content.

What course covers Power Series?▾

Power Series is part of the AP Calculus BC course on Study Mondo, specifically in the Power Series & Taylor/Maclaurin section. You can explore the full course for more related topics and practice resources.