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This is a first (beta) course in the Algebraic Calculus, which is a new approach to the subject organized and presented by N J Wildberger, the discoverer of Rational Trigonometry, Universal Hyperbolic Geometry and Chromogeometry. It avoids mention of "real numbers", "limits", "infinite sets" and "transcendental functions". 

Instead it uses insights from Archimedes, Newton, Euler, Lagrange and many others to create a powerful, conceptually simple algebraic framework which marries the approximate and the exact, and balances the geometric and physical underpinnings of the subject. The course will start Jan 1 2018. 



The Team

Norman Wildberger       216 kudos

A wide ranging and passionate educator and researcher, Norman is aiming at a more logical and beautiful mathematics....

Anna Tomskova       15 kudos

Hello everyone, I'm a teacher for this course and I can't wait to learn with all of you.

Ali Wild       0 kudos

Hello everyone, I'm a teacher for this course and I can't wait to learn with all of you.

Michael Reynolds       0 kudos

Hello everyone, I'm a teacher for this course and I can't wait to learn with all of you.

The Community

208 Students           384 Comments

More Information

Welcome Patrons and Educators! This course will be a beta version: we are going to be adding to the course throughout the year, and hopefully many submissions, ideas and other contributions will be coming from you.

YouTube videos will be augmented with Notes, Worked Problems, Homework Questions, and a section on Links, Definitions, Formulas. We will be working in an affine geometry set up, building up carefully an affine notion of signed area, gradually leading to a powerful integration theory with applications to physics, geometry and analysis.

Along the way we will delve into historical aspects of the course, such as conic sections and cubic curves, lemniscates, Faulhaber polynomials, Archimedes Parabolic Area theorem, de Casteljau Bezier curves, Napier's logarithms, Bernoulli numbers, Pascal arrays, circle area computations, tangents, projective points at infinity and many other lovely topics, objects and identities.

Linear algebraic ideas will play a big role, and the Discrete Calculus will figure prominently. Computer science students may be excited by our concrete data-structure orientation.

If you are a mathematics educator at a college or university, send Norman an email to join the course at n.wildberger@unsw.edu.au. Otherwise become a Patron of Norman's channel Insights into Mathematics at https://www.patreon.com/njwildberger. And be prepared to think differently about one of humanity's greatest intellectual achievements: the Calculus. There is much to learn!

Algebraic Calculus One

Status: On now

Students: 208