# njwildberger

• ### How to go through the Algebraic Calculus One course - Duration: 15 minutes.

• 1 month ago
• 2,115 views
In this video we give some practical suggestions on how to work through the exciting new Algebraic Calculus One course which will be running in 2018 on the openlearning platform, supported by the v...
• ### Welcome to Algebraic Calculus One! - Duration: 15 minutes.

• 1 month ago
• 2,969 views
In 2018, we are going to re-landscape the Garden of Calculus. Things will be moved around, put in better positions, decent walkways will be installed, new exhibits will be introduced, and there wil...
• The "area" of a parabolic arc: a most important integral calculus computation, goes back to Archimedes.

### Heads Up for AlgCalcOne: Parabolic Splines and Archimedes - Duration: 25 seconds.

• 3 months ago
• 1,053 views
This is a link to the video in the Algebraic Calculus One series which lays out our first serious computation in integral calculus: finding the area of a parabolic arc. And we connect this to a fam...
• ### Heads Up for AlgCalcOne: Data Structures and Polygonal Splines - Duration: 19 seconds.

• 3 months ago
• 747 views
This is a heads up for our latest Algebraic Calculus One lecture which is called "Data Structures and Polygonal Splines" and it is available over at Wild Egg mathematics courses:

https://www.youtu...
• Our new video on Signed Areas of Triangles on Curves for the Algebraic Calculus One course is now up.

### Heads up for Signed Areas of Triangles on Curves - Duration: 24 seconds.

• 4 months ago
• 725 views
Our latest video in the Algebraic Calculus One course is now live: you can catch it at https://www.youtube.com/watch?v=YaHo61PnGNw
• ### Heads Up for AlgCalcOne: The Cross Product and Meister's formula - Duration: 42 seconds.

• 4 months ago
• 944 views
This is a heads up for our latest lecture in the Algebraic Calculus One course where we introduce the fundamental signed area definition for oriented triangles and then oriented n-gons, and derive ...
• Plimpton 322 has missing rows and columns, revealed by understanding how the tablet was made.

### Old Babylonian Mathematics and Plimpton 322: How did the OB scribe construct P322? - Duration: 19 minutes.

• 4 months ago
• 2,616 views
Plimpton 322 is a remarkable clay tablet, which is the oldest known form of a trigonometric table, preceeding the Greek introduction of angular based trig by more than 1000 years. But how did the s...
• The highly over-rated radian angle measurement system is imposed on high school students unnecessarily!

### WildTrig86: Understanding uniform motion: are radians really necessary? - Duration: 28 minutes.

• 4 months ago
• 3,594 views
In this video we inquire into the meaning, use and logical structure of so-called "radian measure". The history of this idea is not so old, and as opposed to what high school students are taught, t...
• What is the true role of the circular functions cos x and sin x etc?

### WildTrig85: The true role of the circular functions - Duration: 24 minutes.

• 5 months ago
• 3,932 views
More than 100 years ago, the notable English mathematician G.H. Hardy wrote "The whole difficulty lies in the question, what is the "x" which occurs in cos x and sin x." Indeed the definition and r...
• ### A heads up for AlgCalcOne An Introduction to Signed Area b) - Duration: 30 seconds.

• 5 months ago
• 780 views
The second half of the AlgCalcOne lecture "An Introduction to Signed Area b)" is now up at Wild Egg mathematics courses, our sister channel. This lecture introduces what is arguably the fundamental...
• ### A heads up for AlgCalcOne: An Introduction to Signed Area - Duration: 28 seconds.

• 5 months ago
• 1,075 views
The third lecture in the Algebraic Calculus One course is now available at https://www.youtube.com/watch?v=70ouFMV8xEg
• Daniel and I believe that Plimpton 322 was not only the world's first trigonometry table, but also the only exact one!

### Old Babylonian mathematics and Plimpton 322: A new understanding of the OB tablet Plimpton 322 - Duration: 20 minutes.

• 5 months ago
• 52,738 views
What is the true role and meaning of Plimpton 322, the most famous mathematical clay tablet from Old Babylonian times? In this video Daniel and Norman explain their new theory: that Plimpton 322 wa...
• To understand the meaning of Plimpton 322, we investigate ancient geometry in Egypt and Babylonia.

### Old Babylonian mathematics and Plimpton 322: Geometry in ancient Mesopotamia and Egypt - Duration: 18 minutes.

• 6 months ago
• 6,860 views
Ancient Egyptian and Old Babylonian geometry had some important common features which are noticeably different from our modern geometry. They were larger motivated by the same kinds of problems, co...
• ### Old Babylonian mathematics and Plimpton 322: The remarkable OB sexagesimal system - Duration: 26 minutes.

• 6 months ago
• 16,849 views
The Old Babylonian arithmetical system was powerful and logical, and gave this ancient civilization a huge computational capability. Many mysteries remain unanswered, for example how and why such a...
• ### Old Babylonian Mathematics and Plimpton 322: A new perspective (introduction) - Duration: 17 minutes.

• 6 months ago
• 6,632 views
Daniel Mansfield and Norman Wildberger from the School of Mathematics and Statistics, UNSW Sydney, introduce Old Babylonian culture from 1900- 1600 B.C.E. and the most famous mathematical artifact ...
• Check out the second lecture in the Algebraic Calculus One course: on vectors, displacements and centre of mass.

### A heads up: the second Algebraic Calculus One lecture is live - Duration: 18 seconds.

• 6 months ago
• 1,173 views
The second lecture in the Algebraic Calculus One course is now up at Wild Egg mathematics courses. It is called Vectors, Displacements and Centre of Mass, and has two parts,

• ### A heads-up: the first AlgCalcOne lecture is live - Duration: 29 seconds.

• 7 months ago
• 1,747 views
Our first Algebraic Calculus One lecture is now up! It is called:

Points and Lines in the Affine Plane

and it is in two parts, available at the Wild Egg mathematics courses channel, at

https://w...

### A heads up: Invitation to a more logical, solid and careful analysis - Duration: 50 seconds.

• 7 months ago
• 1,856 views
This week's upload is on the sister channel to this one, called Wild Egg mathematics courses, and it explains about the new Algebraic Calculus One course which will be starting in the new year. And...
• ### WildTrig84: Rational trigonometry and mathematics education IV - Duration: 22 minutes.

• 7 months ago
• 2,247 views
We continue our broad re-evaluation of what students in high school should learn in the directions of trigonometry and geometry. Assuming they have learnt rational trigonometry in years 9 and 10, w...
• ### WildTrig83: Maths Education and Rational Trigonometry III - Duration: 30 minutes.

• 7 months ago
• 1,704 views
We begin by framing a program for teaching young people first geometry and then trigonometry. Here we tackle a broad approach starting with the early years: moving from basic shapes to simple trans...
• My new channel Wild Egg Mathematics Courses starts off with a Triangle Geometry playlist.

### WILD EGG MATHEMATICS COURSES - Duration: 2 minutes, 5 seconds.

• 7 months ago
• 2,575 views
This is a heads-up short video on my new channel "Wild Egg Mathematics Courses" on which I hope to present full courses in mathematics, including the Algebraic Calculus series. To kick things off, ...
• A different kind of video: a simple screenshot demo of the Binomial Distribution

### THE BINOMIAL DISTRIBUTION: a GeoGebra applet - Duration: 3 minutes, 18 seconds.

• 8 months ago
• 1,284 views
A quick introduction to the general binomial theorem through a GeoGebra applet. What is the probability of getting a total of k heads out of n tosses of a weighted coin, when the probability of a s...
• ### WildTrig82: Maths Education and Rational Trigonometry II - Duration: 23 minutes.

• 8 months ago
• 1,880 views
Mathematics education is in sore need of some serious analysis and revision: not with regard to how to teach mathematics, but rather with regard to what we teach! It is so important to not have a f...
• ### WildTrig81: Rheticus and 17th century trig tables - Duration: 28 minutes.

• 8 months ago
• 2,056 views
The heart of classical trigonometry does not lie in trigonometric identities, or in the many formulas such as the Sine law or Cosine law. Rather, the heart of the matter lies in tables which give t...
• ### WildTrig80: Maths education and rational trigonometry I - Duration: 27 minutes.

• 8 months ago
• 2,570 views
We begin an important conversation about the role of trigonometry in maths education and how to move forward using rational trigonometry. Classical trigonometry is historically very important, but ...
• The true laws of trigonometry are simple, elegant, and rational!

### WildTrig79: The general rational laws of trigonometry - Duration: 30 minutes.

• 8 months ago
• 1,899 views
We establish the laws of rational trigonometry in the very general planar setting of having a general bilinear form which determines the notions of quadrance and spread. Pleasantly the laws of RT a...
• We can do planar metrical geometry with an arbitrary bilinear form. A very general geometry!

### WildTrig78: Geometry with a general dot product - Duration: 23 minutes.

• 9 months ago
• 2,052 views
With the powerful point of view of rational trigonometry, metrical geometry can be extended far beyond even the blue, red and green chromogeometry of the last few lectures. We can consider a genera...
• ### Seminar: Five-fold symmetry, Schiffler points and the twisted icosahedron - Duration: 51 minutes.

• 9 months ago
• 3,269 views
This is a seminar talk given at UNSW in the School of Mathematics and Statistics. It discusses joint work with Dr. Nguyen Le of San Francisco State University on a combination of projective geometr...
• Algebraic Calculus One: a fully online course giving a new treatment of the subject: preview

### Algebraic Calculus One - Coming soon! - Duration: 34 minutes.

• 9 months ago
• 8,255 views
This is an initial preview of the upcoming openlearning course called Algebraic Calculus One which we hope to roll out near the end of 2017, or beginning of 2018. In this video we map out some aspe...
• What is the geometrical meaning of a relativistic spread --replacing the notion of angle?

### WildTrig77: Coloured spreads and generalizations II - Duration: 26 minutes.

• 9 months ago
• 1,311 views
We now know that there are three fundamental metrical planar geometries: blue, red and green, corresponding to Euclidean geometry and two relativistic or Lorentzian geometries. In each of these, th...
• Chromogeometry reveals a remarkable three-fold symmetry in planar geometry!

### WildTrig76: Coloured spreads and generalizations I - Duration: 28 minutes.

• 9 months ago
• 1,606 views
We want to look more deeply at the three planar dot products blue, red and green from a linear algebraic point of view. We describe the Coloured spreads theorem and give a concrete example of sprea...
• The rational trigonometry notion of spread can be defined in the blue, red and green geometries.

### WildTrig75: Spreads, determinants and chromogeometry III - Duration: 19 minutes.

• 10 months ago
• 1,381 views
We now introduce the three dot products that control chromogeometry in the plane: giving us the blue, red and green geometries, one of which is Euclidean geometry, the other two are relativistic ge...
• ### WildTrig74: Spreads, determinants and chromogeometry II - Duration: 20 minutes.

• 10 months ago
• 1,433 views
We continue exploring spreads from a linear algebra point of view, introducing a dot product, or inner product between vectors, along with our cross product of planar vectors (a number in this case...
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