Perfect School Search
List of Free Online Geometry Courses and Lessons
See our list of the top free online geometry courses. Learn about what courses are available and what topics they cover to find the course that's right for you.
Online Course Requirements and Information
Free online geometry courses offered through OpenCourseWare programs may help students with strong technical math backgrounds who are pursuing careers in mathematics or engineering. Courses from Open University include full lecture texts, excerpts from textbooks and video clips, while MIT geometry courses include lecture notes and some assignments.
This introductory Geometry course instructs students on the use and construction of circles, lines, curves, planes and other geometric objects. Concepts such as rotational symmetry and angle analysis are discussed. The course also defines various terms used in geometry. Students can use a protractor and a free software download, Geogebra, to complete optional activities.
In the Modelling, Displacements and Velocities course, students explore how vectors are converted from component form to geometric form and vice versa. The lecture notes can be downloaded in optional e-book or Word document formats, and class exercises are available.
This 20-hour Symmetry course examines direct and indirect symmetry, rotations and reflections of plane figures. Students can learn about symmetry composites and Cayley tables. Some prior knowledge of geometry is recommended for this intermediate class.
The focus of Open University's advanced Surfaces course ranges from familiar shapes, such as cones and spheres, to more complex structures, such as the torus and the projective plane. Students learn to determine whether a surface is orientable and how to define its Euler characteristic. Sample problems with solutions are offered throughout the course readings.
Massachusetts Institute of Technology (MIT)
- Differential Geometry
- Geometry and Quantum Field Theory
- Algebraic Geometry
- Geometric Combinatorics
- Computational Geometry
Differential Geometry is an undergraduate course that focuses on plane curves, hypersurfaces, planes and distances. Concrete aspects of geometry, with a concentration on curves, comprise the bulk of the lecture notes and assignments. Prior knowledge of basic and linear algebra is recommended.
The Geometry and Quantum Field Theory class is designed for undergraduates who understand differential geometry and advanced calculus. Lecture topics include quantum field theory, quantum mechanics and matrix integrals. The seven assignments in this course can be downloaded as PDF files.
This graduate-level Algebraic Geometry course explores morphisms, sheaves and different types of schemes. Students taking this course may need a background in commutative algebra. The curriculum includes lecture notes and assignments, although there are no solutions for the assignments.
Consisting of lectures, readings and problem sets, the graduate-level Geometric Combinatorics course introduces students to discrete and computational geometry. Topics include crossing numbers, simplicial partitions, arrangements of lines and curves, allowable sequences and geometric graph theory.
Computational Geometry is an advanced graduate-level class intended for mechanical engineers. This course features in-depth analysis of geometric solids, curves and surfaces. Lecture notes and optional assignments are included.