Learning outcomes
This unit looks at Babylonian mathematics. You will learn how a series of discoveries have enabled historians to decipher stone tablets and study the various techniques the Babylonians used for problem-solving and teaching. The Babylonian problem-solving skills have been described as remarkable and scribes of the time received a trainng far in advance of anything available in medieval Christian Europe 3000 years later.
Introduction
This unit looks at Babylonian mathematics. You will learn how a series of discoveries have enabled historians to decipher stone tablets and study the various techniques the Babylonians used for problem-solving and teaching. The Babylonian problem-solving skills have been described as remarkable and scribes of the time received a trainng far in advance of anything available in medieval Christian Europe 3000 years later.
1.7 Kepler and logarithms
Scotsman John Napier is best known to for his treatise on Protestant religion. However, it was his interest in a completely different subject that radically altered the course of mathematics. After forty years of dabbling in maths, he revealed his table of logarithms in the early 17th century.
1.6 Spreading the word about logarithms
Scotsman John Napier is best known to for his treatise on Protestant religion. However, it was his interest in a completely different subject that radically altered the course of mathematics. After forty years of dabbling in maths, he revealed his table of logarithms in the early 17th century.
1.5 Napier and Briggs
Scotsman John Napier is best known to for his treatise on Protestant religion. However, it was his interest in a completely different subject that radically altered the course of mathematics. After forty years of dabbling in maths, he revealed his table of logarithms in the early 17th century.
1.4 Napier and motion
Scotsman John Napier is best known to for his treatise on Protestant religion. However, it was his interest in a completely different subject that radically altered the course of mathematics. After forty years of dabbling in maths, he revealed his table of logarithms in the early 17th century.
1.3 Napier's approach to logarithms
Scotsman John Napier is best known to for his treatise on Protestant religion. However, it was his interest in a completely different subject that radically altered the course of mathematics. After forty years of dabbling in maths, he revealed his table of logarithms in the early 17th century.
1.2 Napier's bones
Scotsman John Napier is best known to for his treatise on Protestant religion. However, it was his interest in a completely different subject that radically altered the course of mathematics. After forty years of dabbling in maths, he revealed his table of logarithms in the early 17th century.
WildLinAlg12: Generalized dilations and eigenvectors
This video introduces the important idea of changing coordinates in Linear Algebra. A linear transformation can be described using many different matrices, depending on the underlying coordinate system, or ordered basis, which is used to describe the space.
The simplest case is when the linear transformation is in diagonal form. Finding such a diagonal form requires finding the eigenvalues and eigenvectors of a matrix, which we introduce in this video. We also discuss change of basis matrices.
WildLinAlg10: Equations of lines and planes in 3D
This video shows how we work with lines in the plane and planes in 3D space in Linear Algebra. A line in 2D is represented by a linear equation in x and y, a plane in 3D by a linear equation in x,y and z. Both can also be described in parametric form. It is important to be able to change from a Cartesian to a parametric form.
The space of all lines in the plane has a curious connection with the Mobius band. Lines in 3D are somewhat trickier to describe since they require two linear equations.
AlgTop4: More on the sphere
This lecture continues our discussion of the sphere, relating inversive geometry on the plane to the more fundamental inversive geometry of the sphere, introducing the Riemann sphere model of the complex plane with a point at infinity.
Then we discuss the sphere as the projective line over the (rational!) complex numbers.
This is the fourth lecture of this beginner's course in Algebraic Topology given by N J Wildberger of UNSW. His other mathematics videos may be found at the YouTube channel:
AlgTop5: Two-dimensional objects- the torus and genus
We introduce some surfaces: the cylinder, the torus or doughnut, and the n-holed torus. We define the genus of a surface in terms of maximal number of disjoint curves that do not disconnect it. We discuss how the plane covers the cylinder and the torus, and the associated group of translations.
This is the 5th lecture of this beginners course in Algebraic Topology given by Assoc Prof N J Wildberger of UNSW. His other mathematics videos may be found at the YouTube channel: njwildberger.
Elementary Partial Differential Equations and Applications
This book grew out of a two-quarter sequence of undergraduate courses offered at the University of California (UCSB), for science majors, engineers and mathematicians. These courses along with a two-quarter sequence on ordinary differential equations (ODEs) and dynamical systems constitute the applied mathematics courses for the Program in Scientific Computations, a joint program between the mathematics department and the College of Engineering at UCSB.
k-12math.info
Provides information to develop primary and secondary school mathematics materials and textbook series (OER or paper). Content (uses 1000 of the most commonly historically used terms), content distribution (used within many textbook and OER series from 1972 to the present), standards (within the United States and other countries), curriculum parameters and sources of information to develop examples and excercises are provided. Spreadsheets are used to help understanding. Information is displayed
Workshop 2: Mathematics: A Community Focus
With Dr. Marta Civil. As teachers, we often make assumptions about the knowledge children are exposed to at home. Sometimes it seems that we focus on only reading and writing; Dr. Civil contends that we need to look more carefully at the mathematical potential of the home and that it is essential that schools learn to be more flexible and knowledgeab
AlgTop6: Non-orientable surfaces---the Mobius band
A surface is non-orientable if there is no consistent notion of right handed versus left handed on it. The simplest example is the Mobius band, a twisted strip with one side, and one edge. An important deformation gives what we call a crosscap.
This is the sixth lecture in this beginner's course on Algebraic Topology, given by Assoc Prof N J Wildberger of the School of Mathematics and Statistics at UNSW.
The Happy Scientist
Part of the educational services provided by Robert Krampfs US-based science education company, it provides access to the science videos that Robert Krampf has produced. The videos assist students to learn about scientific experiments and key concepts and provides teachers with classroom resources which correlate with the state educational science standards in Florida, California and Texas. A subject search of the title and content is available covering chemistry, the life sciences, Earth sci
6.4 Chemical equations and chemical reactions
Atoms, elements and molecules are the building blocks of everything that makes up our world, including ourselves. In this unit you will learn the basic chemistry of how these components work together, starting with a chemical compound we are all very familiar with – water.
Water Alert!
"Water Alert!" is an interactive educational resource on water, environment and sanitation where young people are engaged in an adventure of strategy and survival. The goal is to ensure that the people in this drought-challenged village, who are facing the threat of a flood, have water that is safe to drink and a clean and healthy school environment. Includes a facilitation guide with instructions for use of the game as a teaching tool and suggestions for classroom activities relating to water,
Private Universe Project in Mathematics: Workshop 5. Building on Useful Ideas
One of the strands of the Rutgers long-term study was to find out how useful ideas spread through a community of learners and evolve over time. Here, the focus is on the teachers role in fostering thoughtful mathematics.,EnglewoodFourth Grade: Towers Fourth-grade teacher Blanche Young attempts the Towers activity for the first time with her students. She feels that their work is valuable, but questions how much time these open-ended activities are taking away from the standard curriculum.
