This is a lecture in the Algebraic Calculus One course, which will present an exciting new approach to calculus, sticking with rational numbers and high school algebra, and avoiding all "infinite processes", "real numbers" and other modern fantasies. The course will be carefully framed on careful definitions, explicit examples and concrete computations.

************************
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.

************************
Video Contents:
0:00 Intro
0:13 Introduction to signed area
4:14 Area formulas from antiquity
6:58 The Circle and Triangle
10:42 Rectangle area formula
13:52 Difficulties in defining area

************************
Here are the Wild Egg Maths Playlists (some available only to Members!)

Algebraic Calculus One (for the Open Learning Course) : [ Ссылка ]
Algebraic Calculus Two (for the Open Learning Course in preparation): [ Ссылка ]-

Advice for Mathematics Exploration (for Members only): [ Ссылка ]
Solving Polynomial Equations (Members only): [ Ссылка ]
Hexagrammum Mysticum (Members only): [ Ссылка ]_
Algebraic Calculus and de Casteljau Bezier curves (Members only): [ Ссылка ]
Exceptional Structures in Maths and Physics via Dynamics on Graphs (Members only): [ Ссылка ]
Maxel Inverses and Orthogonal Polynomials (for Members only): [ Ссылка ]

Triangle Centres: [ Ссылка ]
Six: An elementary course in pure mathematics: [ Ссылка ]

***********************
Here are the Insights into Mathematics Playlists:

Maths and Music: [ Ссылка ]
Diffusion Symmetry: [ Ссылка ]
Elementary Mathematics (K-6) Explained: [ Ссылка ]?
list=PL8403C2F0C89B1333
Playing Go: [ Ссылка ]
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 ]

свернуть