Insights into Mathematics | Anna Tomskova's welcome to Algebraic Calculus One | Wild Egg Maths @njwildberger | Uploaded 3 years ago | Updated 5 hours ago
Dr Anna Tomskova introduces you to the Algebraic Calculus One course and some of its many novel features, including a wide variety of animations and GeoGebra apps that will help you to visualize many important ideas and results from geometry and analysis.

She also gives some general comments and advice about taking this novel online course in Calculus, which presents the subject in a direct and algebraic way with completely precise definitions, yet manages to obtain results which are in many cases more powerful than the usual introductory Calculus material found in standard texts.

We hope you will consider joining this exciting development in modern mathematics education-- it is fully online at Open Learning: openlearning.com/courses/algebraic-calculus-one/homepage/?cl=1.

The fee is $150 (AUS) and the course includes hundreds of hours of learning activities, with many Worked Problems and Homework Questions, complementing the Videos and accompanying Notes.

The course includes: basics of affine geometry, Faulhaber's original introduction to the Derivative and the Integral is used, the geometry of algebraic curves and especially the curves of de Casteljau and Bezier, an introduction to the Discrete Calculus, applications to topology and physics and a purely algebraic approach to the Integral Calculus without limits and resting on the linear algebraic notion of signed area for oriented splines.

The culmination is a novel Fundamental Theorem that introduces ideas usually found only in higher level courses involving multi variable and vector calculus, and that allows a more general integration theory over curves rather than functions.

This is an exciting opportunity for a new generation of students and educators!

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Here are all the Insights into Mathematics Playlists:

Elementary Mathematics (K-6) Explained: youtube.com/playlist?
list=PL8403C2F0C89B1333
Year 9 Maths: youtube.com/playlist?list=PLIljB45xT85CcGpZpO542YLPeDIf1jqXK
Ancient Mathematics: youtube.com/playlist?list=PLIljB45xT85Aqe2b4FBWUGJdYROT6-o4e
Wild West Banking: youtube.com/playlist?list=PLIljB45xT85DB7CzoFWvA920NES3g8tJH
Sociology and Pure Mathematics: youtube.com/playlist?list=PLIljB45xT85A-qCypcmZqRvaS1pGXpTua
Old Babylonian Mathematics (with Daniel Mansfield): youtube.com/playlist?
list=PLIljB45xT85CdeBmQZ2QiCEnPQn5KQ6ov
Math History: youtube.com/playlist?list=PL55C7C83781CF4316
Wild Trig: Intro to Rational Trigonometry: youtube.com/playlist?list=PL3C58498718451C47
MathFoundations: youtube.com/playlist?list=PL5A714C94D40392AB
Wild Linear Algebra: youtube.com/playlist?list=PLIljB45xT85BhzJ-oWNug1YtUjfWp1qAp
Famous Math Problems: youtube.com/playlist?list=PLIljB45xT85Bfc-S4WHvTIM7E-ir3nAOf
Probability and Statistics: An Introduction: youtube.com/playlist?list=PLIljB45xT85AMigTyprOuf__daeklnLse
Boole's Logic and Circuit Analysis: youtube.com/playlist?list=PLIljB45xT85CnIGIWb7tH1F_S2PyOC8rb
Universal Hyperbolic Geometry: youtube.com/playlist?list=PLIljB45xT85CN9oJ4gYkuSQQhAtpIucuI
Differential Geometry: youtube.com/playlist?list=PLIljB45xT85DWUiFYYGqJVtfnkUFWkKtP
Algebraic Topology: youtube.com/playlist?list=PL6763F57A61FE6FE8
Math Seminars: youtube.com/playlist?list=PLBF39AFBBC3FB30AF
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And here are the Wild Egg Maths Playlists:

Triangle Centres: youtube.com/watch?v=iLBGXDSUohM&list=PLzdiPTrEWyz6VcJQ5xcuqY6g4DWjvpmjM
Six: An elementary course in pure mathematics: youtube.com/playlist?list=PLzdiPTrEWyz4KD007Ge10dfrDVc4YwlYS
Algebraic Calculus One: youtube.com/playlist?list=PLzdiPTrEWyz4rKFN541wFKvKPSg5Ea6XB
Algebraic Calculus Two: youtube.com/playlist?list=PLzdiPTrEWyz5VLVr-0LPPgm4T1mtU_DG-