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Geometry 101: Introduction to Geometry
30 hours (15 weeks).
February 2012 - April 2022.
Upon successful completion of the course, students will be able to: define, identify, and construct various geometric figures; calculate geometric values of two- and three-dimensional shapes including perimeter, circumference, area, surface area, and volume; solve problems involving perpendicular lines, parallel lines, and parallel lines with transversals; prove that two triangles are congruent or similar using transformations as well as theorems and postulates; classify different types of polygons including triangles and quadrilaterals; compute values involving circles, chords, arcs, and sectors; recall the basics of conic sections including the parabolas, ellipses, and hyperbolas; apply coordinate geometry to solve problems and calculate values such as distance and midpoint; and explain the basic assumptions of non-euclidean geometry and apply trigonometric ratios to solve right triangles.
The course is self-paced. Instruction is delivered through online video and text lessons. Students are assessed through quizzes and a proctored final exam. Topics include: basics of geometry; logic and proof in mathematics; intro to geometric figures; triangle properties and construction; parallel lines and polygons; triangle congruence; ratios and proportions in geometry; similar polygons; quadrilaterals overview; circles overview; overview of conic sections; 3d geometry; analytical geometry; non-euclidean geometry; and introduction to trigonometry.
In the lower division baccalaureate associate/degree category, 3 semester hours in Business, Mathematics, or as a general business elective (2/17).