This short video and interactive assessment activity is designed to teach third …
This short video and interactive assessment activity is designed to teach third graders about solving for beginning time in 5-minute intervals - word problems.
This is the first semester of a two-semester sequence on Differential Analysis. …
This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.
In this course, we study elliptic Partial Differential Equations (PDEs) with variable …
In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to the minimal surface equation. Then we study Fourier and harmonic analysis, emphasizing applications of Fourier analysis. We will see some applications in combinatorics / number theory, like the Gauss circle problem, but mostly focus on applications in PDE, like the Calderon-Zygmund inequality for the Laplacian, and the Strichartz inequality for the Schrodinger equation. In the last part of the course, we study solutions to the linear and the non-linear Schrodinger equation. All through the course, we work on the craft of proving estimates.
This course is an introduction to differential geometry. The course itself is …
This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature.
'Tricks' tap into children's natural curiosity and can provide the motivation for …
'Tricks' tap into children's natural curiosity and can provide the motivation for exploring the underlying mathematics in order to unpick how they are done. This Nrich problem explores a "trick" to provide an engaging context in which to explore place value and in particular 'adding nine' as 'adding ten and subtracting one'.
This task gives students the opportunity to verify that a dilation takes …
This task gives students the opportunity to verify that a dilation takes a line that does not pass through the center to a line parallel to the original line, and to verify that a dilation of a line segment (whether it passes through the center or not) is longer or shorter by the scale factor.
This task does not actually require that the student solve the system …
This task does not actually require that the student solve the system but that they recognize the pairs of linear equations in two variables that would be used to solve the system. This is an important step in the process of solving systems.
In this YouCubed task. students examine what happens when you keep continuing …
In this YouCubed task. students examine what happens when you keep continuing a pattern, forever. Students delve into the infinite and find the patterns and their area.
The Nrich problem offers opportunities to think about area, proportion and fractions, …
The Nrich problem offers opportunities to think about area, proportion and fractions, while offering an informal introduction to the mathematics of infinity and convergence which would not normally be met by younger students, to tempt their curiosity.
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