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Geometry

Professor Dave Explains via YouTube

Overview

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This course covers the fundamentals of geometry, including basic Euclidean geometry, types of angles and triangles, special lines in triangles, the Pythagorean theorem, types of quadrilaterals, circles, and three-dimensional shapes. By the end of the course, students will be able to identify and work with various geometric shapes, calculate their perimeters and areas, and understand the principles of three-dimensional geometry. The teaching method involves lectures and explanations, with a focus on practical applications and problem-solving. This course is intended for learners interested in gaining a solid understanding of geometry, whether for academic purposes or personal enrichment.

Syllabus

Introduction to Geometry: Ancient Greece and the Pythagoreans.
Basic Euclidean Geometry: Points, Lines, and Planes.
Types of Angles and Angle Relationships.
Types of Triangles in Euclidean Geometry.
Proving Triangle Congruence and Similarity.
Special Lines in Triangles: Bisectors, Medians, and Altitudes.
The Triangle Midsegment Theorem.
The Pythagorean Theorem.
Types of Quadrilaterals and Other Polygons.
Calculating the Perimeter of Polygons.
Circles: Radius, Diameter, Chords, Circumference, and Sectors.
Calculating the Area of Shapes.
Proving the Pythagorean Theorem.
Three-Dimensional Shapes Part 1: Types, Calculating Surface Area.
Three-Dimensional Shapes Part 2: Calculating Volume.

Taught by

Professor Dave Explains

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