Updating search results...

Search Resources

1205 Results

View
Selected filters:
Topics in Geometry: Dirac Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry. For this reason, the latter is intimately related to the ideas of mirror symmetry.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Gualtieri, Marco
Date Added:
09/01/2006
Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Geometry is concerned with the various aspects of size, shape and space. In this unit, you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities.

Subject:
Geometry
Mathematics
Material Type:
Full Course
Provider:
The Open University
Provider Set:
Open University OpenLearn
Date Added:
12/15/2008
Geometry of Manifolds
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Auroux, Denis
Date Added:
02/01/2007
Differential Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Seidel, Paul
Date Added:
09/01/2008
The Geometry of Architecture
Unrestricted Use
CC BY
Rating
0.0 stars

This is a project that follows the general PBL framework that can be used to help students master the concept of intermediate geometry. It was specifically designed to help students review the fundamental theorems of geometry involving lines, segments, angles, and basic shapes; use the properties of similarity and congruence to solve problems for geometric figures; master trigonometric ratios to solve right triangle problems; compare & contrast various geometric transformations and models; learn how to do geometric proofs and construct basic geometric figures; and understand the basic concepts related to the geometry of circles. Note that the project was designed and delivered per the North Carolina Math 2 curriculum and it can be customized to meet your own specific curriculum needs and resources.

Subject:
Architecture and Design
Geometry
Mathematics
Trigonometry
Material Type:
Lesson Plan
Author:
Ben Owens
Date Added:
12/05/2018
Geometry: Modeling with Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This site teaches High Schoolers how to Interpret Categorical and Quantitative Data through a series of 45 questions and interactive activities aligned to 2 Common Core mathematics skills.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Interactive
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
01/09/2015
Application of Geometry
Only Sharing Permitted
CC BY-NC-ND
Rating
0.0 stars

This is a lesson plan for a project based learning activity geared towards high school students who are enrolled in a geometry class. The project has the students discover how geometry is connected to real world situations instead of being just a subject taught in a classroom. The Indiana Academic Standards that may apply to this activity are G.LP.2, G.T.1, G.T.5, G.QP.1, G.CI.4, G.TS.3, and G.TS.5.

Subject:
Mathematics
Material Type:
Interactive
Date Added:
10/11/2016
Geometry
Unrestricted Use
CC BY
Rating
0.0 stars

In this course, you will study the relationships between lines and angles. You will learn to calculate how much space an object covers, determine how much space is inside of a three-dimensional object, and other relationships between shapes, objects, and the mathematics that govern them.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Reading
Syllabus
Provider:
The Saylor Foundation
Date Added:
08/28/2013
Geometry Review
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students will review the basic concepts of geometry previously learned in class. This could be used as a study tool or a review before a test

Subject:
Mathematics
Material Type:
Lesson
Date Added:
06/08/2017
Algebraic Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with 18.725 Algebraic Geometry, students gain an understanding of the basic notions and techniques of modern algebraic geometry.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Kedlaya, Kiran
Date Added:
02/01/2009
Elementary College Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This is a reviewed and visually enhanced version of Henry Africk's Elementary College Geometry book.
This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Author:
Henry Africk
Date Added:
03/04/2021
Algebraic Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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 between complex algebraic varieties and complex analytic varieties; and examples with emphasis on algebraic curves and surfaces. This course is an introduction to the language of schemes and properties of morphisms.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Bezrukavnikov, Roman
Date Added:
09/01/2015
Geometry and Topology in the Plane
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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 exposure to differential geometry or topology. Think of it as a moderate hike, overlooking various parts of the geometry and topology landscape. Bits are flat, bits are uphill, there are occasional rocky parts (may be different for everyone), but none that are designed to be cliff faces. The class moves from one topic to the next quickly, so it’s important to learn continuously.

Subject:
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Seidel, Paul
Date Added:
02/01/2023
Elementary Plane Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

A textbook created by COD Mathematics Faculty for MATH 0470 - Elementary Plane Geometry at the College of DuPage.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Author:
College of DuPage
Date Added:
08/07/2022
Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Students engage in a competitive group relay to construct formal proofs involving triangles.

New proofs can always be written to fit different curriculum and pacing.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Game
Date Added:
10/18/2018
Geometry Tools: Angles & Reflections
Read the Fine Print
Educational Use
Rating
0.0 stars

Students learn about common geometry tools and then learn to use protractors (and Miras, if available) to create and measure angles and reflections. The lesson begins with a recap of the history and modern-day use of protractors, compasses and mirrors. After seeing some class practice problems and completing a set of worksheet-prompted problems, students share their methods and work. Through the lesson, students gain an awareness of the pervasive use of angles, and these tools, for design purposes related to engineering and everyday uses. This lesson prepares students to conduct the associated activity in which they “solve the holes” for hole-in-one multiple-banked angle solutions, make their own one-hole mini-golf courses with their own geometry-based problems and solutions, and then compare their “on paper” solutions to real-world results.

Subject:
Geometry
Mathematics
Material Type:
Lesson
Provider:
TeachEngineering
Author:
Aaron Lamplugh
Devin Rourke
Maia Vadeen
Malinda Zarske
Nathan Coyle
Russell Anderson
Ryan Sullivan
Date Added:
02/07/2017