<p>Fibonacci Numbers and the Golden Ratio is a free online course on Coursera taught by Professor Jeffrey R. Chasnov of the Hong Kong University of Science and Technology (HKUST). The course explores the Fibonacci sequence, the golden ratio, and their mathematical properties – including Binet's formula, Cassini's identity, golden rectangles, continued fractions, and the appearance of Fibonacci numbers in nature.</p><ul><li>Three modules spanning roughly nine hours of content, self-paced</li><li>Beginner level but mathematically rigorous; recommended for advanced high school students</li><li>Ten assignments across a suggested three-week pace</li><li>Free to audit; a shareable Coursera certificate is available for a separate fee</li><li>Course language is English, with subtitles available in 22 languages</li></ul><p>Enrolment is rolling and the course can be started at any time via a Coursera account.</p>