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Learn Geometry online: university courses, full YouTube courses, and courses with free certificates, from the IITs, MIT, Harvard, Google, Microsoft and more.
Johns Hopkins University
This is the first course of a three course specialization that introduces the students to the concepts of linear algebra, one of the most important and basic areas of mathematics, with many real-life applications. This foundational material provides both theory and applications for topics in mathem…
IISc Bangalore
Computer Science and Engineering course by Prof. Arulalan M R, Prof. Ashok Rao, Prof. M Krishna Kumar.
MIT OpenCourseWare
This is the first semester of a two-semester sequence on Algebraic Geometry. The goal of the course is to introduce the basic notions and techniques of modern algebraic geometry. It covers fundamental notions and results about algebraic varieties over an algebraically closed field; relations betwee…
MIT OpenCourseWare
This is a course on the singular homology of topological spaces. Topics include: Singular homology, CW complexes, Homological algebra, Cohomology, and Poincare duality.
MIT OpenCourseWare
In this undergraduate level seminar series, topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. The topic for fall 2008: Computational algebra and alge…
Stanford University
This course concentrates on recognizing and solving convex optimization problems that arise in applications. The syllabus includes: convex sets, functions, and optimization problems; basics of convex analysis; least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal…
MIT OpenCourseWare
Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation…
Videos on geometry. Basic understanding of Algebra I necessary. After this, you'll be ready for Trigonometry.
MIT OpenCourseWare
This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embed…
MIT OpenCourseWare
This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of symplectic manifolds, but the material also includes long digressions into complex geometry and the geometry of 4-manifolds, with special emphasis on topological considerations.
Johns Hopkins University
This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus. The unifying theme is the study of functions, including polynomial, rational, exponential, logarithmic, and trigonometric funct…
Delft University of Technology
Prepare for introductory calculus courses by reviewing functions, equations, differentiation, integration and analytic geometry.
MIT OpenCourseWare
This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry and number theory. Its primary motivation is the study of classical Diophantine problems from the modern perspective of algebraic geometry.
Johns Hopkins University
This is course 4 of this specialization (although it can be taken out of order) and focuses on applying experience and knowledge gained in the first three courses to build physical electronics hardware. Specifically, this course focuses on four areas: circuit simulation, schematic entry, PCB layout…
MIT OpenCourseWare
This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature.
MIT OpenCourseWare
This course introduces students to selected aspects of geometry and topology, using concepts that can be visualized easily. We mix geometric topics (such as hyperbolic geometry or billiards) and more topological ones (such as loops in the plane). The course is suitable for students with no prior ex…
Microsoft
Design Active Directory site topology and analyze Active Directory replication metadata, including Windows Server 2025 replication priority control.
MIT OpenCourseWare
This course is a seminar in topology. The main mathematical goal is to learn about the fundamental group, homology and cohomology. The main non-mathematical goal is to obtain experience giving math talks.
Microsoft
Design Active Directory Certificate Services topologies with suitable role placement, trust boundaries, availability, key protection, and recovery.
MIT OpenCourseWare
This is a literature seminar with a focus on classic papers in Algebraic Topology. It is named after the late MIT professor Daniel Kan. Each student gives one or two talks on each of three papers, chosen in consultation with the instructor, reads all the papers presented by other students, and writ…
