Foundations of Sequences and Real Analysis — PickAClass
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⏱ 2h 54m 📚 29 lessons 🎧 Audio version

Foundations of Sequences and Real Analysis

Understand the fundamental concepts of sequences, supremum, and infimum for a solid grasp of mathematical analysis.

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About this course

Are you looking to build a strong understanding of core concepts in real analysis? This course provides a clear and accessible introduction to sequences, their properties, and the essential ideas of supremum and infimum. Master the building blocks of real analysis and develop the analytical skills necessary for further mathematical study. You will gain a deep understanding of how sequences behave and how to rigorously define bounds for sets of numbers. What you'll learn: - Understand the definition and properties of sequences. - Grasp the concepts of supremum and infimum for sets of real numbers. - Learn to determine convergence and divergence of sequences. - Practice working with different types of sequences and their limits. - Explore the relationship between sequences and fundamental properties of the real number system. - Understand the importance of rigorous proof in mathematical analysis. This course begins with fundamental definitions and progresses through essential theorems, providing a structured path for learners new to the subject. It is designed for beginners with no prior experience in real analysis, requiring only basic mathematical knowledge. Start building your mathematical analysis foundation today.

What you'll get

  • 📜 Certificate of completion
    Add it to your LinkedIn profile
  • 💬 Personal AI tutor
    Stuck on a lesson? Ask your built-in tutor anything, any time.
  • 🎧 Audio version included
    Learn on the go — no screen needed
  • ♾️ Lifetime access
    Come back anytime, no expiry
  • 📱 Phone or computer
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  • 💸 14-day refund
    No questions asked
  • ⚡ Short & focused
    2h 54m of practical content

Certificate of completion

Every course you complete on PickAClass issues a credential like this — original, with its own code, verifiable by URL, and detailed about what was actually demonstrated.

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Certificate of Mastery
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Name Surname
has successfully demonstrated mastery of
Foundations of Sequences and Real Analysis
Skills demonstrated
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Behavioral pattern analysis
Foundational
1.2 hrs
✓
Decision-architecture frameworks
Proficient
1.4 hrs
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A/B test design
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1.7 hrs
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Foundations of Sequences and Real Analysis
Page 2 of 2
Performance detail
Coursework summary
Lessons completed 14 / 14
Practice questions 26 / 28
Assignments submitted 4 (avg 4.5 / 5)
Capstone project Reviewed — 4.6 / 5
Total practice 6.2 hrs
Performance benchmark
Cohort rank Top 12% of 1,625
Time to completion 11 days (median: 22)
Mastery score 91 / 100
Practice-question score 94%
Skill verification Verified Skill Path
Verify this credential
pickaclass.com/certificates/PCC-2026-X4F7-AP19
Issued under the academic standards of PickAClass. Skill levels reflect assessed performance against the course's competency rubric. This is an original credential of this platform.

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Frequently asked

What do I need to take this course? +

Just a phone or computer with internet. No installs, no special hardware.

How do I pay? +

By card via Stripe. We don’t store card details — Stripe handles them securely.

Can I get a refund? +

Yes — full refund within 14 days, no questions asked.

How long will I have access? +

Forever. Once you purchase, the course is yours to revisit anytime.

Will I get a certificate? +

Yes. On completion you'll receive a certificate you can add to your LinkedIn profile.

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