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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More on 2x2 matrices, rotations, rotations, reflections and linear transformations. Included are some applications to calculus explaining how a linear map approximates a non-linear map, leading to the notion of a derivative of a function as a linear transformation.
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.
