3D Coordinates and Quadric Surfaces - Analytic Geometry (Undergraduate Advanced)

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.

26 hrs

Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
CHE 305: Engineering Analysis I
CHE 305: Engineering Analysis I
Advanced engineering mathematics covering solid analytical geometry, integrals, scalar and vector fields, matrices and determinants and complex variables. Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

Advanced engineering mathematics covering solid analytical geometry, integrals, scalar and vector fields, matrices and determinants and complex variables. Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

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Course Chapters

1. Two-Dimensional Rectangular Coordinates
7
Points, distances, lines, angles, gradients, etc., on the two-dimensional coordinates system.
Concept Overviews
7 Lessons
2:14:10
2. Second-Degree Plane Curves
5
4
Equations of circles, ellipses, parabolas and hyperbolas.
Concept Overviews
5 Lessons
2:15:33
Problem Walkthroughs
4 Lessons
1:41:28
3. Three-Dimensional Rectangular Coordinates
1
3
Three-dimensional rectangular coordinates system, graphs.
Concept Overviews
1 Lesson
24:08
Problem Walkthroughs
3 Lessons
57:44
4. Coordinates Transformation
1
2
Transformation of coordinates by rotation.
Concept Overviews
1 Lesson
48:46
Problem Walkthroughs
2 Lessons
41:08
5. Quadric Surfaces
6
Graphs of second-degree equations in three variables - ellipsoids, cones, cylinders, hyperboloids, paraboloids, etc.
Concept Overviews
6 Lessons
2:26:19
6. Classifying Quadric Surfaces I
2
2
Direct classification of quadric surfaces.
Concept Overviews
2 Lessons
27:43
Problem Walkthroughs
2 Lessons
38:24
7. Classifying Quadric Surfaces II
6
3
Classification of quadric surfaces by variable substitution.
Concept Overviews
6 Lessons
3:47:42
Problem Walkthroughs
3 Lessons
3:37:45
8. Other Coordinates Systems
3
3
The polar, cylindrical and spherical coordinates systems.
Concept Overviews
3 Lessons
57:06
Problem Walkthroughs
3 Lessons
29:59