Lecture Details :
Three dimensional affine geometry is a big step from two dimensional planar geometry. Here we introduce the subject via a 3d coordinate system, showing some ZOME models, explaining how to draw such a coordinate system in the plane, and seeing how points in space are naturally associated to triples of [x,y,z] of numbers. We discuss points, lines and planes in 3D, and point out the important distinction between affine space and a vector space.
NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry---see his WildTrig YouTube series under user `njwildberger'. There you can also find his series on Algebraic Topology, History of Mathematics and Universal Hyperbolic Geometry.
Course Description :
This course on Linear Algebra is meant for first year undergraduates or college students. It presents the subject in a visual geometric way, with special orientation to applications and understanding of key concepts. The subject naturally sits inside affine algebraic geometry. Flexibility in choosing coordinate frameworks is essential for understanding the subject. Determinants also play an important role, and these are introduced in the context of multi-vectors in the sense of Grassmann. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry.
Other Resources :
Other Mathematics Courses
- Mathematical analysis and applications by Other
- Laplace transforms by Other
- Differential Equations by MIT
- Linear Algebra by MIT
- Math 60 - Introductory Algebra-1st Term by Portland Community College
- Real Analysis by Other
- Linear programming and Extensions by IIT Kanpur
- Vector Calculus by The University of New South Wales
- Differential Equations with Linear Algebra by Other
- Differential equations I by Other
» check out the complete list of Mathematics lectures