Analytic Geometry: Master 3D Coordinates and Quadric Surfaces
Learn to analyze the three-dimensional Euclidean space using coordinates and equations with pin-point precision. Designed for students, researchers, and professionals in fields such as engineering, computer graphics, physics, astronomy, medicine, biology, architecture, and building technology, this course provides a thorough understanding of coordinate systems, equations, and quadric surfaces. On completing this course, you will have mastered: - One-dimensional coordinate system and locating points - Two-dimensional coordinate system, lines, and curves - Conic sections and their equations - Three-dimensional coordinate system and quadric surfaces - Computer-aided visualization using Geogebra - Coordinate transformation and rotation - Equations in polar, cylindrical, and spherical coordinates Throughout the course, you'll engage with high-quality video lessons, completely-solved examples, free-hand sketching techniques, and computer-aided visualizations. Multiple-choice quizzes will keep you focused and help reinforce your learning. Prerequisites: This course is designed for first-year undergraduate students in engineering and sciences. Prior knowledge of basic trigonometric ratios, determinants, and elementary row operations on matrices is helpful but not required, as the course is designed to be accessible to learners with varying backgrounds. Once enrolled, you have access to dynamic video lessons, interactive quizzes, and live chat support for an immersive learning experience. You engage with clear video explanations, test your understanding with instant-feedback quizzes and interact with our expert instructor and peers in the chat room. Join a supportive learning community to exchange ideas, ask questions, and collaborate with peers as you master the material, by enrolling right away.
53
$ 7.80
One-time payment
Course Chapters
1Two-Dimensional Rectangular Coordinates
Points, distances, lines, angles, gradients, etc., on the two-dimensional coordinates system.
2Second-Degree Plane Curves
Equations of circles, ellipses, parabolas and hyperbolas.
3Three-Dimensional Rectangular Coordinates
Three-dimensional rectangular coordinates system, graphs.
4Coordinates Transformation
Transformation of coordinates by rotation.
5Quadric Surfaces
Graphs of second-degree equations in three variables - ellipsoids, cones, cylinders, hyperboloids, paraboloids, etc.
6Classifying Quadric Surfaces I
Direct classification of quadric surfaces.
7Classifying Quadric Surfaces II
Classification of quadric surfaces by variable substitution.
8Other Coordinates Systems
The polar, cylindrical and spherical coordinates systems.