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modernmooch.com
| | proftomcrick.com
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| | With colleagues from the University of Bristol, Swansea University, University College Dublin, Victoria University of Wellington, University of Cape Town, University of Western Australia, and Indraprastha Institute of Information Technology, Delhi, we are investigating the impact of COVID-19 (SARS-CoV-2 coronavirus), and ``emergency remote teaching'' - the rapid move to online learning, teaching and assessment -...
| | values.utdallas.edu
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| | Links to videos from the 2024 VMST-12 conference ("Paul K. Feyerabend: A Centennial Celebration") are posted below. This four-day conference w...
| | afieldguidetomath.wordpress.com
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| | I am an Associate Professor in the Department of Mathematics at the University of Connecticut. My research focuses in the area of arithmetic geometry, which is at the cross roads of number theory and algebraic geometry.
| | stephenmalina.com
27.4 parsecs away

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| Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4.