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Learn Mathematics, earn certificates with free online courses from Harvard, Stanford, MIT, University of Pennsylvania and other top universities around the world. Read reviews to decide if a class is right for you.
Explore the Stern-Brocot tree, a fascinating representation of fractions using a binary tree. Learn its properties, construction, and connections to Ford circles and Farey sequences in this insightful mathematical journey.
Learn to solve quadratic equations using the square root method and completing the square through 12 practical examples, enhancing your problem-solving skills in algebra.
Explore the Law of Sines, its origins, and applications in solving oblique triangles. Learn practical tips for word problems and special cases like ambiguous and obtuse triangles.
Prepare for conic sections by mastering completing the square, midpoint calculation, circle equations, and rational equation solving in this concise tutorial.
Comprehensive lesson on sum and difference formulas in trigonometry, covering evaluation, verification, and problem-solving techniques for improved mathematical understanding.
Learn to solve rational equations and identify extraneous solutions using various techniques. Master fraction operations and cross multiplication for efficient problem-solving in algebra.
Comprehensive preparation for rational functions in precalculus, covering key topics like fractions, exponents, factoring, and equations to build a strong foundation.
Comprehensive introduction to essential pre-calculus concepts, covering function basics, domain and range, evaluation, factoring, graphing, and transformations for math success.
Comprehensive guide to identifying and solving angle relationships in parallel lines cut by a transversal, covering key concepts and multiple examples with step-by-step explanations.
Comprehensive preparation for linear equations and inequalities, covering solving, graphing, simplification, and absolute value evaluation in Algebra 2.
Learn to simplify challenging complex fractions with step-by-step guidance, focusing on elimination techniques, handling fractions, and identifying key factors for efficient problem-solving.
Explore p-adic groups and their representations, from basic concepts to advanced topics like supercuspidal and epipelagic representations, with insights into ongoing research.
Explore the singular set in fully nonlinear obstacle problems, focusing on free boundaries, monotonicity, and parametric inequalities with expert Ovidiu Savin.
Explore the gradient-flow structure of multiphase mean curvature flow, covering theoretical aspects, previous work, and key concepts in this advanced mathematical analysis seminar.
Explore high-dimensional expansion, error-correcting codes, and their connections. Delve into expansion constructions, property testing, and revolution complexes with expert Irit Dinur.
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