Real Numbers Courses and Certifications

Insights into Mathematics

What Is a Sequence? - Real Numbers and Limits in Mathematics

Explore the mathematical concept of sequences, from basic definitions to complex examples. Learn about natural numbers, primes, and rational numbers in sequence form, with insights on specification and description.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Wrath of Math

Density of Rational Numbers in Real Numbers - Rudin's Proof Explained

Explore Walter Rudin's proof demonstrating that rational numbers are densely distributed within real numbers, using the Archimedean property from Baby Rudin's analysis text.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Introduction to Real Numbers - Lecture 2

Explore the completeness property of real numbers and discover why rational numbers are insufficient for mathematical analysis through the least upper bound principle.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

The Bourgain Projection Theorem Part 1 - Over the Real Numbers - Lecture 14

Explore Bourgain's projection theorem, a fundamental result in projection theory, focusing on its formulation and applications over the real numbers in advanced mathematical analysis.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Schmid College, Chapman University

Frege's Definition of Real Numbers is Consistent

Explore Frege's consistent definition of real numbers as ratios of magnitudes. Uncover how slight modifications to his original work could have preserved this groundbreaking mathematical concept.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video

Ember Learning Labs

Properties of Real Numbers - Algebra 2 - Lesson 1.2

Master the fundamental properties of real numbers through clear explanations and examples that build a strong foundation for advanced algebraic concepts.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Apna Teacher

Maths - System of Real Numbers, Exponents & Radicals

Comprehensive coverage of real numbers, exponents, and radicals for 9th and 10th grade math, including detailed explanations and exercises to build strong foundational skills.

• YouTube
• 3 hours 30 minutes
• Self-Paced
• Free Video

Career Certificate

Irrational Numbers

Explore the logic of real numbers, converting fractions and decimals, identifying repeating patterns, and defining irrational constants like π and e to solve real-world estimation problems.

• CodeSignal
• 4 hours
• Self-Paced
• Free Certificate
• 4 courses

Algebra: Elementary to Advanced - Equations & Inequalities

652 ratings at Coursera

Solidify algebraic foundations, from real numbers to quadratic equations. Develop computational skills and apply concepts to model real-world situations. Ideal for students advancing to higher mathematics.

• Coursera
• 10 hours 15 minutes
• Self-Paced
• Paid Course

Imaginary Numbers Are Real

Explore the fascinating world of imaginary numbers, from their historical origins to complex functions and Riemann surfaces, in this comprehensive mathematical journey.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Basic Math: Numbers and Terminology

Discover essential mathematical foundations including sets, number systems, and complex numbers to prepare for engineering and scientific studies.

• Coursera
• 9 hours 55 minutes
• Self-Paced
• Paid Course

Infinity: Mathematics, History, Philosophy (Live Online)

33 ratings at CourseHorse

Explore how humans have tried to understand the infinite—from ancient paradoxes to modern mathematical breakthroughs.

• CourseHorse
• 12 hours
• Self-Paced
• $335.00

Algebra I: High School

Comprehensive high school algebra program covering essential concepts from word problems to statistics, featuring interactive lessons and quizzes aligned with common core standards.

• Study.com
• 21 hours 44 minutes
• Self-Paced
• Paid Course

High School Trigonometry: Help and Review

Comprehensive trigonometry review covering real numbers, linear equations, quadratic functions, and advanced topics. Includes video lessons and quizzes for exam prep, homework help, and project completion.

• Study.com
• 1 day 6 hours 32 minutes
• Self-Paced
• Paid Course

Algebra II: High School

Comprehensive review of Algebra II concepts for high school students, covering real numbers to trigonometry. Flexible learning with mobile-friendly lessons and quizzes for test prep and grade improvement.

• Study.com
• 1 day 2 hours 16 minutes
• Self-Paced
• Paid Course