The Algebraic Calculus One course is purely online at Open Learning, and gives a novel and careful approach to the classical subject of Calculus, but without infinite processes or real numbers. In this video we have a look at the course, in particular the Chapter on Signed Areas, which gives a historical introduction to classical areas, introduces a linear algebraic definition of signed areas first for triangles and then quadrilaterals, discusses the cross product of planar vectors, and treats formulas of Meister and Crelle. Applications to the cross ratios of projective geometry are also discussed.
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Screenshot PDFs for my videos are available at the website [ Ссылка ]. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at [ Ссылка ]
My blog is at [ Ссылка ], where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at [ Ссылка ] Please join us for an exciting new approach to one of mathematics' most important subjects!
If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at [ Ссылка ] Your support would be much appreciated.
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Here are all the Insights into Mathematics Playlists:
Elementary Mathematics (K-6) Explained: [ Ссылка ]?
list=PL8403C2F0C89B1333
Year 9 Maths: [ Ссылка ]
Ancient Mathematics: [ Ссылка ]
Wild West Banking: [ Ссылка ]
Sociology and Pure Mathematics: [ Ссылка ]
Old Babylonian Mathematics (with Daniel Mansfield): [ Ссылка ]?
list=PLIljB45xT85CdeBmQZ2QiCEnPQn5KQ6ov
Math History: [ Ссылка ]
Wild Trig: Intro to Rational Trigonometry: [ Ссылка ]
MathFoundations: [ Ссылка ]
Wild Linear Algebra: [ Ссылка ]
Famous Math Problems: [ Ссылка ]
Probability and Statistics: An Introduction: [ Ссылка ]
Boole's Logic and Circuit Analysis: [ Ссылка ]
Universal Hyperbolic Geometry: [ Ссылка ]
Differential Geometry: [ Ссылка ]
Algebraic Topology: [ Ссылка ]
Math Seminars: [ Ссылка ]
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And here are the Wild Egg Maths Playlists:
Triangle Centres: [ Ссылка ]
Six: An elementary course in pure mathematics: [ Ссылка ]
Algebraic Calculus One: [ Ссылка ]
Algebraic Calculus Two: [ Ссылка ]-
