SignUpLinear Algebra
The University of New South Wales,
Updated On 02 Feb, 19
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The University of New South Wales,
Updated On 02 Feb, 19
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.
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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.
Sam
Sep 12, 2018
Excellent course helped me understand topic that i couldn't while attendinfg my college.
Dembe
March 29, 2019
Great course. Thank you very much.
