Real Numbers Courses and Certifications

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Algebra: Elementary to Advanced - Equations & Inequalities

643 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
• On-Demand
• 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
• On-Demand
• Free Video

Calculus 1, part 1 of 2: Limits and continuity

260 ratings at Udemy

Single variable calculus with elements of Real Analysis: from axioms and proofs to illustrations and computations

• Udemy
• 2 days 12 hours 1 minute
• On-Demand
• Paid Course

Math Fundamentals: Numbers and Terminology

2 reviews

The basic concepts of sets, basic terminology and the fundamental properties of numbers (real and complex) are reviewed.

• edX
• 4 weeks, 3-4 hours a week
• On-Demand
• Free Online Course (Audit)

Algebra

184 ratings at Udemy

Explore fundamental algebra concepts: real numbers, operations, variables, exponents, and algebraic expressions. Master essential mathematical skills for problem-solving and further study.

• Udemy
• 1 hour 58 minutes
• On-Demand
• Free Online Course

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
• On-Demand
• Paid Course

Algebra 1 (Semester 1): A High School Curriculum

61 ratings at Udemy

Includes videos and over 200 pages of quizzes/worksheets (answer keys provided!)

• Udemy
• 8 hours 2 minutes
• On-Demand
• 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
• On-Demand
• $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
• On-Demand
• Paid Course