Introduction
Quality science and mathematics education is increasingly accessible online. This guide covers leading platforms offering courses, tutorials, and problem-solving resources across mathematics, physics, chemistry, biology, and other sciences—from high school fundamentals to advanced university-level material.
Comprehensive Learning Platforms
1. Khan Academy
Description: A completely free educational platform offering videos and interactive exercises across sciences and mathematics.
Coverage:
- Mathematics (elementary through calculus)
- Physics and mechanics
- Chemistry
- Biology
- Computer science
- Economics
- Finance
- History and social studies
Features:
- Free video tutorials
- Interactive practice exercises
- Progress tracking
- Personalized learning dashboard
- No ads
- Available offline
- Community support
Advantages:
- Completely free (no premium tier)
- High-quality content
- Covers broad range of subjects
- Great for building foundations
- Excellent pacing and clarity
- Trusted by millions of learners
Best For: Foundation building, visual learners, students of all levels, self-paced learning
Homepage: khanacademy.org
2. Coursera
Description: A large online learning platform offering courses from top universities and companies.
Coverage:
- Mathematics and statistics
- Physics and engineering
- Chemistry
- Biology
- Computer science
- Data science
- And many more
Features:
- University-level courses
- Certificates of completion
- Free audit option for most courses
- Video lectures and assignments
- Peer-reviewed projects
- Specializations for deeper learning
- Mobile app available
Advantages:
- University-credentialed courses
- Flexible scheduling
- Mix of free and paid options
- Recognized certificates
- High-quality production values
- Strong community support
Best For: University-level learning, career advancement, formal certifications, diverse subject areas
Homepage: coursera.org
3. edX
Description: A platform founded by MIT and Harvard offering courses from top universities worldwide.
Coverage:
- Mathematics
- Physics
- Chemistry
- Biology
- Engineering
- Computer science
- Data science
- And more
Features:
- University-quality courses
- Free audit option
- Paid certificates
- Interactive labs and simulations
- Video lectures
- Discussion forums
- Professional certificates
- Micro-credentials
Advantages:
- Founded by MIT and Harvard
- High-quality university courses
- Free audit option available
- Strong in STEM subjects
- Good for serious learners
- Professional certificates
Best For: Advanced learners, university-level courses, STEM-focused learning, career development
Homepage: edx.org
Mathematics-Focused Platforms
4. Brilliant
Description: An interactive platform specializing in mathematics, physics, and computer science problem-solving.
Features:
- Interactive problem-solving experiences
- Progress tracking
- Multiple difficulty levels
- Personalized learning paths
- Weekly challenges
- Community discussions
- Mobile app
Coverage:
- Algebra and precalculus
- Geometry
- Trigonometry
- Calculus
- Linear algebra
- Physics
- Computer science
- Logic
Advantages:
- Highly interactive
- Excellent problem design
- Visual and intuitive
- Adaptive difficulty
- Engaging learning experience
- Good for deep understanding
Disadvantages:
- Most content requires paid subscription
- Limited free content
- Can be challenging for beginners
- Requires significant time commitment
Best For: Problem-solving practice, advanced learners, visual learners, developing intuition
Homepage: brilliant.org
5. Art of Problem Solving (AoPS)
Description: A platform specializing in advanced mathematics education and competition problem-solving.
Features:
- Online courses for competition math
- Video lectures
- Interactive problem sets
- Community forums
- Online competitions
- Textbooks and resources
- Olympiad preparation
Coverage:
- Algebra
- Geometry
- Combinatorics
- Number theory
- Trigonometry
- Calculus
- Physics
Advantages:
- Excellent for advanced students
- Competition-preparation focused
- Rigorous problem sets
- Strong community
- Well-designed curriculum
- Good for talent development
Best For: Gifted students, competition preparation, advanced problem-solving, mathematical rigor
Homepage: artofproblemsolving.com
6. 3Blue1Brown
Description: A YouTube channel providing exceptional visual explanations of mathematics concepts.
Content:
- Linear algebra essentials
- Calculus essence series
- Fourier transforms
- Neural networks
- Group theory
- Topology
- And more
Features:
- High-quality animations
- Deep conceptual explanations
- Free on YouTube
- Series-based learning
- Visual-first approach
- No ads (creator-supported)
Advantages:
- Exceptional visual explanations
- Builds intuition powerfully
- Free content
- Beautiful presentations
- Deep understanding focus
- Engaging narrative style
Best For: Visual learners, students seeking intuition, advanced mathematics, supplementary learning
Homepage: 3blue1brown.com
7. Mathway
Description: An online tool for solving mathematical problems and learning solution steps.
Features:
- Problem solver with step-by-step solutions
- Covers algebra through calculus
- Graphing calculator
- Chemistry problem solver
- Statistics calculator
- Trigonometry solver
- Mobile app
Coverage:
- Algebra
- Precalculus
- Calculus
- Trigonometry
- Statistics
- Chemistry
- Linear algebra
Advantages:
- Instant problem solving
- Step-by-step explanations
- Easy to use
- Covers many topics
- Mobile friendly
- Good for checking work
Disadvantages:
- Primarily for homework help
- Doesn’t teach deeply
- Relies on subscriptions for full features
- Can reduce learning if overused
Best For: Homework help, checking work, learning steps, problem verification
Homepage: mathway.com
Physics & Engineering
8. MIT OpenCourseWare (MIT OCW)
Description: MIT’s free and open educational resource project offering actual university courses.
Coverage:
- Physics (mechanics, electricity and magnetism, quantum mechanics)
- Mathematics
- Chemistry
- Engineering
- Computer science
- Biology
- And many more
Features:
- Complete course materials
- Lecture notes
- Exams and solutions
- Video lectures (many)
- Problem sets
- MIT-quality education
- Completely free
Advantages:
- Authentic MIT courses
- High quality
- Complete course materials
- Free and open
- No registration required
- Highly respected
Best For: Serious learners, university-level material, self-directed learning, reference material
Homepage: ocw.mit.edu
9. PhET Interactive Simulations
Description: Interactive simulations for teaching and learning science and mathematics.
Coverage:
- Physics
- Chemistry
- Biology
- Mathematics
- Earth science
Features:
- Interactive simulations
- Play-based learning
- Research-based design
- Free and open source
- Multiple languages
- Teacher resources
- Mobile compatible
Advantages:
- Highly interactive
- Develops scientific intuition
- Engaging for students
- Research-backed
- Completely free
- Teacher support available
Best For: Conceptual understanding, hands-on learners, K-12 and intro university
Homepage: phet.colorado.edu
Chemistry Learning
10. LibreTexts Chemistry
Description: A comprehensive, free, open-access online textbook for chemistry at all levels.
Coverage:
- General chemistry
- Organic chemistry
- Physical chemistry
- Analytical chemistry
- Biochemistry
- Environmental chemistry
- And more
Features:
- Full textbooks (free)
- Interactive modules
- Problem sets with solutions
- Links between topics
- Adaptable and remixable
- No registration required
- Continuously updated
Advantages:
- High-quality content
- Completely free
- Open and remixable
- Interactive elements
- Comprehensive coverage
- Well-organized
Best For: Chemistry students of all levels, supplementary learning, reference material
Homepage: libretexts.org/Chemistry
Biology & Life Sciences
11. Amoeba Sisters
Description: A YouTube channel with animated explanations of biology and life science concepts.
Content:
- Cell biology
- Genetics
- Evolution
- Ecology
- Photosynthesis and respiration
- DNA and proteins
- And more
Features:
- High-quality animations
- Clear explanations
- 5-15 minute videos
- Free on YouTube
- Teacher resources available
- Engaging characters
- Accurate science
Advantages:
- Very clear explanations
- Engaging presentation
- Short, focused videos
- Free content
- Great for visual learners
- Excellent for K-12
Best For: Visual learners, biology students, supplementary learning, concept reinforcement
Homepage: amoebasisters.com
General STEM Education
12. Udemy Science Courses
Description: A platform with thousands of science and mathematics courses from various instructors.
Coverage:
- Mathematics (basic to advanced)
- Physics
- Chemistry
- Biology
- Engineering
- Computer science
- Data science
- And more
Features:
- Affordable courses ($10-50 typical)
- Video lectures
- Lifetime access
- Downloadable resources
- Certificates of completion
- Money-back guarantee
- All experience levels
Advantages:
- Very affordable
- Large course selection
- Diverse instructors
- Flexible learning
- Lifetime access
- Good reviews typically available
Disadvantages:
- Quality varies by instructor
- Can be overwhelming with choices
- Less structured than universities
- Certificates not recognized academically
Best For: Specific topic learning, affordable learning, diverse interests, self-paced learning
Homepage: udemy.com
13. OpenStax
Description: Free, peer-reviewed, and openly licensed textbooks covering STEM and other subjects.
Coverage:
- Physics
- Chemistry
- Biology
- Mathematics
- Statistics
- Engineering
- And more
Features:
- Free textbooks (print and online)
- High-quality peer-reviewed content
- Supplements and test banks
- Customizable
- Multiple formats available
- No registration required
Advantages:
- Completely free
- High academic quality
- Widely adopted
- Open and remixable
- Peer-reviewed
- Professionally designed
Best For: Textbook learning, supplementary material, cost-effective education
Homepage: openstax.org
Advanced & Specialized
14. Wolfram MathWorld
Description: An extensive online encyclopedia of mathematics covering definitions, formulas, and concepts.
Coverage:
- Pure mathematics
- Applied mathematics
- Numerical methods
- Statistics
- Special functions
- Etc.
Features:
- Comprehensive math reference
- Rigorous definitions
- Links between concepts
- Examples and applications
- Visualizations
- Interactive tools
Advantages:
- Extremely comprehensive
- Rigorous content
- Well-organized
- Free access
- Trusted resource
- Great for reference
Disadvantages:
- Dense and technical
- Not for learning from scratch
- Requires mathematical background
- Not interactive teaching
Best For: Reference, verifying concepts, advanced learning, mathematical rigor
Homepage: mathworld.wolfram.com
15. Paul’s Online Math Notes
Description: A comprehensive set of online math notes covering calculus, algebra, and trigonometry.
Coverage:
- Algebra
- Trigonometry
- Pre-calculus
- Calculus I, II, III
- Linear algebra
- Differential equations
Features:
- Well-written notes
- Worked examples
- Practice problems with solutions
- Searchable
- Free access
- Mobile-friendly
- Print-friendly
Advantages:
- Clear explanations
- Comprehensive coverage
- Completely free
- Well-organized
- Practical examples
- Student-friendly
Best For: Calculus and algebra learning, clear explanations, practice problems, review material
Homepage: tutorial.math.lamar.edu
YouTube Educational Channels
16. Professor Leonard
Description: A YouTube channel with university-level mathematics lectures from an experienced professor.
Content:
- Calculus (full courses)
- Linear algebra
- Differential equations
- Pre-calculus
- Full lecture recordings
Features:
- Complete lecture courses
- High-quality presentation
- Passionate teaching style
- Comprehensive coverage
- Free on YouTube
- 2-3 hour lectures
Advantages:
- University-level quality
- Deep subject coverage
- Engaging lecturer
- Free content
- Complete courses
- Excellent explanations
Best For: Serious mathematics students, comprehensive learning, lecture-style learners
Homepage: Professor Leonard on YouTube
17. Crash Course
Description: Educational YouTube channel with engaging videos on various science subjects.
Coverage:
- Biology
- Chemistry
- Physics
- Astronomy
- Environmental science
- World history
- Anatomy & physiology
Features:
- High-energy presentation
- 10-12 minute videos
- Clear explanations
- Engaging host
- Free on YouTube
- Teacher resources
- Accurate science
Advantages:
- Very engaging
- Clear and fun
- Good for introductions
- High production values
- Free content
- Suitable for various ages
Best For: Introduction to topics, visual learners, engaging presentations, high school students
Homepage: crashcourse.com
Key Takeaways
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Foundation building: Khan Academy is the best free option for building fundamentals across all sciences and mathematics
-
University-level learning: MIT OpenCourseWare and Coursera offer authentic university courses
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Problem-solving practice: Brilliant and Art of Problem Solving for advanced problem-solving
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Visual learning: 3Blue1Brown, PhET simulations, and Amoeba Sisters for intuitive understanding
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Physics intuition: PhET simulations make physics concepts tangible and understandable
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Chemistry reference: LibreTexts Chemistry provides comprehensive, free chemistry textbooks
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Affordable courses: Udemy offers affordable, diverse course options
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YouTube channels: Excellent for supplementary learning and concept reinforcement
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Study progression:
- Start with Khan Academy basics
- Use PhET or simulations for intuition
- Progress to university courses (MIT OCW, Coursera, edX)
- Use Brilliant or AoPS for advanced problem-solving
- Reference tools (Wolfram MathWorld, Paul’s Notes) for clarification
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Combine resources: Best learning uses multiple resources—lectures, simulations, practice, and visual explanations
Remember: The most effective science and mathematics learning combines multiple resources. Use video lectures for conceptual understanding, simulations for intuition, practice problems for skill development, and reference materials for clarification. Khan Academy provides an excellent free foundation, while universities offer advanced courses. Experiment with different platforms to find what works best for your learning style.
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