https://new.denisgorodkov.com/Blog-posts/2026-06-11-Humbled 2026-06-12T00:36:06.256Z https://new.denisgorodkov.com/Blog-posts/News/2024-07-30-Teaching-update 2025-08-12T22:10:27.338Z https://new.denisgorodkov.com/Blog-posts/News/2024-08-02-Student-hours-update 2025-08-12T22:10:27.341Z https://new.denisgorodkov.com/Blog-posts/News/2024-09-20-Student-hours-calendar 2025-08-12T22:10:27.344Z https://new.denisgorodkov.com/Blog-posts/News/2025-06-25-Student-hours 2025-08-12T22:10:27.346Z https://new.denisgorodkov.com/Blog-posts/News/2025-12-02-Last-day-teaching-MAT102-at-UTM 2025-12-03T02:19:36.440Z https://new.denisgorodkov.com/Blog-posts/News/2026-05-04-Teaching-update 2026-05-04T04:47:54.876Z https://new.denisgorodkov.com/Competition-mathematics/RSM/AMC-10-and-AMC-12-problems-in-curriculum 2026-07-11T23:14:35.951Z https://new.denisgorodkov.com/History 2026-07-11T23:14:35.952Z https://new.denisgorodkov.com/Math-problems/Problems.ru/Problems.ru-104025 2026-07-11T23:14:35.959Z https://new.denisgorodkov.com/Math-problems/Problems.ru/Problems.ru-35583 2026-07-11T23:14:35.960Z https://new.denisgorodkov.com/Math-problems/Sourced-lists/%D0%A0%D0%B0%D0%B1%D0%BE%D1%82%D0%B0-%D0%B2-%D1%88%D0%BA%D0%BE%D0%BB%D0%B5-(%D0%90.-%D0%93%D0%B0%D1%80%D0%B3%D1%8F%D0%BD%D1%86,-...)/%D0%94%D0%B5%D0%BB%D0%B8%D0%BC%D0%9D%D0%B0%D1%87%D0%B0%D0%BB%D0%B0/Problem-10 2026-07-11T23:14:35.960Z https://new.denisgorodkov.com/Math-problems/Sourced-lists/%D0%A0%D0%B0%D0%B1%D0%BE%D1%82%D0%B0-%D0%B2-%D1%88%D0%BA%D0%BE%D0%BB%D0%B5-(%D0%90.-%D0%93%D0%B0%D1%80%D0%B3%D1%8F%D0%BD%D1%86,-...)/%D0%94%D0%B5%D0%BB%D0%B8%D0%BC%D0%9D%D0%B0%D1%87%D0%B0%D0%BB%D0%B0/Problem-19 2026-07-11T23:14:35.961Z https://new.denisgorodkov.com/Math-problems/Sourced-lists/%D0%A0%D0%B0%D0%B1%D0%BE%D1%82%D0%B0-%D0%B2-%D1%88%D0%BA%D0%BE%D0%BB%D0%B5-(%D0%90.-%D0%93%D0%B0%D1%80%D0%B3%D1%8F%D0%BD%D1%86,-...)/%D0%94%D0%B5%D0%BB%D0%B8%D0%BC%D0%9D%D0%B0%D1%87%D0%B0%D0%BB%D0%B0/Problem-4 2026-07-11T23:14:35.962Z https://new.denisgorodkov.com/Math-problems/Sourced-lists/%D0%A0%D0%B0%D0%B1%D0%BE%D1%82%D0%B0-%D0%B2-%D1%88%D0%BA%D0%BE%D0%BB%D0%B5-(%D0%90.-%D0%93%D0%B0%D1%80%D0%B3%D1%8F%D0%BD%D1%86,-...)/%D0%94%D0%B5%D0%BB%D0%B8%D0%BC%D0%9D%D0%B0%D1%87%D0%B0%D0%BB%D0%B0/Problem-5 2026-07-11T23:14:35.963Z https://new.denisgorodkov.com/Math-problems/%D0%A0%D0%B0%D0%B1%D0%BE%D1%82%D0%B0-%D0%B2-%D1%88%D0%BA%D0%BE%D0%BB%D0%B5---%D0%97%D0%B4%D1%87%D0%98%D0%BD%D0%B2%D0%B0%D1%80%D0%B8%D0%B0%D0%BD%D1%82%D1%8B2---4 2026-07-11T23:14:35.966Z https://new.denisgorodkov.com/Recent-news-and-posts 2026-06-12T00:36:24.481Z https://new.denisgorodkov.com/Recently-edited 2026-06-12T00:36:24.485Z https://new.denisgorodkov.com/References/@AF102 2026-07-11T23:14:35.968Z https://new.denisgorodkov.com/References/@Blind1987 2026-07-11T23:14:35.969Z https://new.denisgorodkov.com/References/@Brehm1987 2026-07-11T23:14:35.970Z https://new.denisgorodkov.com/References/@Brehm1992 2026-07-11T23:14:35.971Z https://new.denisgorodkov.com/References/@Easttom2022 2026-07-11T23:14:35.971Z https://new.denisgorodkov.com/References/@Eells1962 2026-07-11T23:14:35.972Z https://new.denisgorodkov.com/References/@Gaifullin2004 2026-07-11T23:14:35.973Z https://new.denisgorodkov.com/References/@Gaifullin2008 2026-07-11T23:14:35.974Z https://new.denisgorodkov.com/References/@Gaifullin2010 2026-07-11T23:14:35.974Z https://new.denisgorodkov.com/References/@Gaifullin2019 2026-07-11T23:14:35.975Z https://new.denisgorodkov.com/References/@Gorodkov2016 2026-07-11T23:14:35.976Z https://new.denisgorodkov.com/References/@Gorodkov2019 2026-07-11T23:14:35.977Z https://new.denisgorodkov.com/References/@Kalai1988 2026-07-11T23:14:35.977Z https://new.denisgorodkov.com/References/@Nabutovsky2020 2026-07-11T23:14:35.978Z https://new.denisgorodkov.com/References/@damiano2011 2026-07-11T23:14:35.979Z https://new.denisgorodkov.com/Teaching/MAT-188/HW-problems/A-crypto-scam-and-nilpotency 2026-07-11T23:14:35.981Z https://new.denisgorodkov.com/Teaching/MAT-188/HW-problems/Robotic-arm 2026-07-11T23:14:35.982Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/algmult 2026-07-11T23:14:35.982Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/angle 2026-07-11T23:14:35.983Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/basefreevar 2026-07-11T23:14:35.984Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/basis 2026-07-11T23:14:35.984Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/bijective 2026-07-11T23:14:35.985Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/bmat 2026-07-11T23:14:35.986Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/charpollt 2026-07-11T23:14:35.986Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/charpolmat 2026-07-11T23:14:35.987Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/cocmat 2026-07-11T23:14:35.988Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/coordinates 2026-07-11T23:14:35.988Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/crosspdct 2026-07-11T23:14:35.989Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/cvec 2026-07-11T23:14:35.990Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/det2 2026-07-11T23:14:35.990Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/det3 2026-07-11T23:14:35.991Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/diagonalizable 2026-07-11T23:14:35.992Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/dim 2026-07-11T23:14:35.992Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/domcodom 2026-07-11T23:14:35.993Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/dprod 2026-07-11T23:14:35.994Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/eigenbasis 2026-07-11T23:14:35.994Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/eigenspace 2026-07-11T23:14:35.995Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/eigenvecval 2026-07-11T23:14:35.995Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/elemmat 2026-07-11T23:14:35.997Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/eqset 2026-07-11T23:14:35.997Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/function 2026-07-11T23:14:35.998Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/geomult 2026-07-11T23:14:35.999Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/idmat 2026-07-11T23:14:35.999Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/image 2026-07-11T23:14:36.000Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/invfun 2026-07-11T23:14:36.001Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/invmat1 2026-07-11T23:14:36.002Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/invmat2 2026-07-11T23:14:36.002Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/invtrans 2026-07-11T23:14:36.003Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/kernel 2026-07-11T23:14:36.003Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/leastsquare 2026-07-11T23:14:36.004Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/lincom 2026-07-11T23:14:36.005Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/lincomb3 2026-07-11T23:14:36.006Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/lindep 2026-07-11T23:14:36.006Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/line 2026-07-11T23:14:36.007Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/lineq 2026-07-11T23:14:36.007Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/linindep 2026-07-11T23:14:36.008Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/linrel 2026-07-11T23:14:36.009Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/linsys 2026-07-11T23:14:36.010Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/lintrans 2026-07-11T23:14:36.010Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/matprod 2026-07-11T23:14:36.012Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/matvec 2026-07-11T23:14:36.012Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/ndimeuclidean 2026-07-11T23:14:36.013Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/norm 2026-07-11T23:14:36.014Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/orthobasis 2026-07-11T23:14:36.014Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/orthocomp 2026-07-11T23:14:36.015Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/orthodiag 2026-07-11T23:14:36.016Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/orthodiagmap 2026-07-11T23:14:36.016Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/orthonoset 2026-07-11T23:14:36.017Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/orthoproj 2026-07-11T23:14:36.018Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/orthoset 2026-07-11T23:14:36.018Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/orthotrans 2026-07-11T23:14:36.019Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/parallel 2026-07-11T23:14:36.020Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/perpendicular 2026-07-11T23:14:36.020Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/pivot 2026-07-11T23:14:36.021Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/plane 2026-07-11T23:14:36.022Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/rank 2026-07-11T23:14:36.022Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/ranknull 2026-07-11T23:14:36.023Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/regtrans 2026-07-11T23:14:36.023Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/rref 2026-07-11T23:14:36.025Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/rvec 2026-07-11T23:14:36.026Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/set 2026-07-11T23:14:36.027Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/simmat 2026-07-11T23:14:36.027Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/span 2026-07-11T23:14:36.028Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/stanvec 2026-07-11T23:14:36.029Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/subset 2026-07-11T23:14:36.029Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/subspace 2026-07-11T23:14:36.030Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/surinj 2026-07-11T23:14:36.031Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/thm2.2 2026-07-11T23:14:36.032Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/trace 2026-07-11T23:14:36.032Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/trans 2026-07-11T23:14:36.033Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/unionintersect 2026-07-11T23:14:36.034Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/vecaddmult 2026-07-11T23:14:36.035Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Concepts/zmat 2026-07-11T23:14:36.035Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-COM-angle 2026-07-11T23:14:36.036Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-COM-par 2026-07-11T23:14:36.037Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-COM-per 2026-07-11T23:14:36.038Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-COM-vecarith 2026-07-11T23:14:36.038Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-CON-parline 2026-07-11T23:14:36.039Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-CON-plane 2026-07-11T23:14:36.040Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-CON-vecline 2026-07-11T23:14:36.040Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-VG-line 2026-07-11T23:14:36.041Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-VG-plane 2026-07-11T23:14:36.042Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-VG-vecarith 2026-07-11T23:14:36.042Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch0-WRIT-sets 2026-07-11T23:14:36.043Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-COM-augset 2026-07-11T23:14:36.044Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-COM-matarith 2026-07-11T23:14:36.044Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-COM-pslinsys 2026-07-11T23:14:36.045Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-COM-rref 2026-07-11T23:14:36.046Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-CON-augsoltype 2026-07-11T23:14:36.046Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-CON-matdotprod 2026-07-11T23:14:36.047Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-CON-matlincom 2026-07-11T23:14:36.048Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-CON-ranksoltype 2026-07-11T23:14:36.049Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-CON-rref 2026-07-11T23:14:36.049Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-VG-gslinsys 2026-07-11T23:14:36.050Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-VG-lincom 2026-07-11T23:14:36.051Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-VG-pslinsys 2026-07-11T23:14:36.051Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-WRIT-gslinsys 2026-07-11T23:14:36.052Z https://new.denisgorodkov.com/Teaching/MAT-188/Materials/Learning-standards/ls-ch1-WRIT-linsysnot 2026-07-11T23:14:36.053Z https://new.denisgorodkov.com/Teaching/MAT-224-Winter-2022-2023 2026-07-03T02:49:39.323Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Decomposition-of-a-space-in-the-direct-sum-of-a-subspace-and-orthogonal-complement 2026-07-11T23:14:36.057Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Determinant-and-products-of-matrices 2026-07-11T23:14:36.057Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Eigenvalues-and-eigenvectors 2026-07-11T23:14:36.058Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Expression-for-orthogonal-projection-in-orthonormal-bases 2026-07-11T23:14:36.059Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Expressions-for-vectors-in-orthonormal-bases 2026-07-11T23:14:36.060Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Invariant-subspaces 2026-07-11T23:14:36.060Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Kernel-and-image-of-a-linear-transformation 2026-07-11T23:14:36.061Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Kernel-and-invertibility 2026-07-11T23:14:36.062Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Nilpotent-transformations-canonical-form 2026-07-11T23:14:36.063Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Orthogonal-complements-as-solutions-to-homogeneous-systems-of-equations 2026-07-11T23:14:36.064Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Orthogonal-complements-of-subspaces-in-the-Euclidean-space 2026-07-11T23:14:36.065Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Orthogonal-projection-on-a-subspace 2026-07-11T23:14:36.065Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Orthogonality-and-linear-independence 2026-07-11T23:14:36.066Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Polynomials 2026-07-11T23:14:36.067Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Properties-of-maps-between-sets 2024-08-02T17:40:09.000Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Real-numbers 2026-07-11T23:14:36.068Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Solving-complex-polynomial-equations 2026-07-11T23:14:36.069Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Subspaces 2026-07-11T23:14:36.070Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/The-Gram-Schmidt-orthogonalization-process 2026-07-11T23:14:36.071Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/The-dot-product-in-Euclidean-space 2026-07-11T23:14:36.072Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/The-orthogonal-complement-is-a-subspace 2026-07-11T23:14:36.072Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Triangularizability-theorem 2026-07-11T23:14:36.073Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Triangularizable-transformations 2026-07-11T23:14:36.074Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Vector-space-(over-real-numbers) 2026-07-11T23:14:36.074Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Bits/Vector-space-properties 2026-07-11T23:14:36.075Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/Characteristic-polynomial 2026-07-11T23:14:36.076Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/Fundamental-theorem-of-algebra 2026-07-11T23:14:36.077Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/How-to-find-eigenvalues 2026-07-11T23:14:36.078Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/Natural-numbers 2026-07-11T23:14:36.078Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/Orthonormal-basis 2026-07-11T23:14:36.079Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/Quantifiers-and-mathematical-notations 2024-08-02T17:39:58.000Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/Vector-space-(over-real-numbers)-quantifier-definition 2026-07-11T23:14:36.081Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/miniature_Eigenvectors-and-eigenvalues 2026-07-11T23:14:36.081Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/miniature_Expressions-for-vectors-in-orthonormal-bases 2026-07-11T23:14:36.082Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/miniature_Quantifiers 2026-07-11T23:14:36.082Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Embeds/miniature_Vector-space-over-the-real-numbers 2026-07-11T23:14:36.083Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Examples/Finding-eigenvalues-(basic-example) 2026-07-11T23:14:36.084Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Examples/Finding-eigenvectors-(basic-example) 2026-07-11T23:14:36.084Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Examples/Motivating-example-for-eigenvalues-and-eigenvectors 2026-07-11T23:14:36.085Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Maps/Course-map 2026-07-11T23:14:36.086Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Maps/map_Determinant 2026-07-11T23:14:36.087Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Maps/map_Eigenvectors-and-eigenvalues 2026-07-11T23:14:36.087Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Maps/map_Numbers 2026-07-11T23:14:36.088Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Maps/map_Orthogonality 2026-07-11T23:14:36.088Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Maps/map_Question-check 2026-07-11T23:14:36.089Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Maps/map_Skill-checks 2026-07-11T23:14:36.090Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Matrix-of-a-linear-transformation 2024-09-03T02:27:50.000Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Week-1-Lecture-1 2026-07-11T23:14:36.091Z https://new.denisgorodkov.com/Teaching/MAT-224/Lecture-notes/Week-1-Lecture-2 2026-07-11T23:14:36.092Z https://new.denisgorodkov.com/Teaching/MAT-224/MAT-224-course-syllabus-draft 2026-07-11T23:14:36.093Z https://new.denisgorodkov.com/Teaching/MAT-246/Final-learning-objectives 2026-07-11T23:14:36.095Z https://new.denisgorodkov.com/Teaching/MAT-246/Final-practice 2026-07-11T23:14:36.096Z https://new.denisgorodkov.com/Teaching/MAT-246/Final 2026-07-11T23:14:36.097Z https://new.denisgorodkov.com/Teaching/MAT-246/Group-theory 2026-07-11T23:14:36.098Z https://new.denisgorodkov.com/Teaching/MAT-246/Midterm-I-results 2026-07-11T23:14:36.099Z https://new.denisgorodkov.com/Teaching/MAT-246/Midterm-I 2026-07-11T23:14:36.099Z https://new.denisgorodkov.com/Teaching/MAT-246/Midterm-II-learning-objectives 2026-07-11T23:14:36.100Z https://new.denisgorodkov.com/Teaching/MAT-246/Midterm-II-solutions 2026-07-11T23:14:36.101Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/B%C3%A9zout's-identity 2026-07-11T23:14:36.102Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Congruences-vs-equalities 2026-07-11T23:14:36.102Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Congruences 2026-07-11T23:14:36.103Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Divisibility-criteria 2026-07-11T23:14:36.104Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Divisibility 2026-07-11T23:14:36.105Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Division-with-remainder 2026-07-11T23:14:36.106Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Euclid's-algorithm 2026-07-11T23:14:36.107Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Euclid's-lemma 2026-07-11T23:14:36.107Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Fundamental-theorem-of-arithmetic 2026-07-11T23:14:36.108Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/GCD-and-LCM 2026-07-11T23:14:36.109Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Integers-modulo-m 2026-07-11T23:14:36.110Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Invertibility-of-elements-in-congruences 2026-07-11T23:14:36.110Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Number-systems 2026-07-11T23:14:36.111Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Parity-and-invariants 2026-07-11T23:14:36.112Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Properties-of-divisibility 2026-07-11T23:14:36.113Z https://new.denisgorodkov.com/Teaching/MAT-246/Number-theory/Set-notations 2026-07-11T23:14:36.114Z https://new.denisgorodkov.com/Teaching/MAT-246/Schedule-and-appointments 2026-07-11T23:14:36.122Z https://new.denisgorodkov.com/Teaching/MAT-246/Syllabus-details 2026-07-11T23:14:36.123Z https://new.denisgorodkov.com/Teaching/Student-drawings 2026-07-11T23:14:36.163Z https://new.denisgorodkov.com/calendar 2026-07-11T23:14:35.952Z https://new.denisgorodkov.com/competition_mathematics 2026-07-11T23:14:35.953Z https://new.denisgorodkov.com/cryptography 2026-07-11T23:14:35.980Z https://new.denisgorodkov.com/cv 2026-07-11T23:14:35.954Z https://new.denisgorodkov.com/ 2023-08-23T19:09:04.000Z https://new.denisgorodkov.com/mat188/week1-pic 2026-07-11T23:14:36.054Z https://new.denisgorodkov.com/mat188/week1 2026-07-11T23:14:36.054Z https://new.denisgorodkov.com/mat188/week3 2026-07-11T23:14:36.055Z https://new.denisgorodkov.com/mat188lec0105 2026-03-03T22:58:12.717Z https://new.denisgorodkov.com/mat224 2026-07-03T02:49:31.758Z https://new.denisgorodkov.com/mat246 2026-07-03T02:49:25.398Z https://new.denisgorodkov.com/mat246/category-theory 2026-07-11T23:14:36.115Z https://new.denisgorodkov.com/mat246/cauchy-schwarz 2026-07-11T23:14:36.114Z https://new.denisgorodkov.com/mat246/diophantine_equations_tricks 2026-07-11T23:14:36.120Z https://new.denisgorodkov.com/mat246/enumerating_subsets 2026-07-11T23:14:36.116Z https://new.denisgorodkov.com/mat246/induction 2026-07-11T23:14:36.117Z https://new.denisgorodkov.com/mat246/knights_and_knaves 2026-07-11T23:14:36.119Z https://new.denisgorodkov.com/mat246/notes_1-2 2026-07-11T23:14:36.124Z https://new.denisgorodkov.com/mat246/philosophy 2026-07-11T23:14:36.094Z https://new.denisgorodkov.com/mat246/polynomials 2026-07-11T23:14:36.118Z https://new.denisgorodkov.com/mat246/pred_proofs 2026-07-11T23:14:36.119Z https://new.denisgorodkov.com/mat246/whodunnit 2026-07-11T23:14:36.121Z https://new.denisgorodkov.com/mata22 2026-07-21T13:56:06.103Z https://new.denisgorodkov.com/mata22/lectures/july-3 2026-07-11T23:14:36.125Z https://new.denisgorodkov.com/mata22/lectures/june-10 2026-07-11T23:14:36.126Z https://new.denisgorodkov.com/mata22/lectures/june-12 2026-07-11T23:14:36.127Z https://new.denisgorodkov.com/mata22/lectures/june-17 2026-07-11T23:14:36.129Z https://new.denisgorodkov.com/mata22/lectures/june-24 2026-07-11T23:14:36.130Z https://new.denisgorodkov.com/mata22/lectures/june-26 2026-07-11T23:14:36.131Z https://new.denisgorodkov.com/mata22/lectures/june-3 2026-07-11T23:14:36.132Z https://new.denisgorodkov.com/mata22/lectures/june-5 2026-07-11T23:14:36.133Z https://new.denisgorodkov.com/mata22/lectures/may-13 2026-07-11T23:14:36.135Z https://new.denisgorodkov.com/mata22/lectures/may-20 2026-07-11T23:14:36.136Z https://new.denisgorodkov.com/mata22/lectures/may-22 2026-07-11T23:14:36.137Z https://new.denisgorodkov.com/mata22/lectures/may-27 2026-07-11T23:14:36.138Z https://new.denisgorodkov.com/mata22/lectures/may-29 2026-07-11T23:14:36.140Z https://new.denisgorodkov.com/mata22/lectures/may-6 2026-07-11T23:14:36.140Z https://new.denisgorodkov.com/mata22/lectures/may-8 2026-07-11T23:14:36.141Z https://new.denisgorodkov.com/mata22/midterm/solutions 2026-07-11T23:14:36.142Z https://new.denisgorodkov.com/mata22/reflections/ref-1 2026-07-11T23:14:36.144Z https://new.denisgorodkov.com/mata22/reflections/ref-2 2026-07-11T23:14:36.144Z https://new.denisgorodkov.com/mata22/schedule 2026-07-11T23:14:36.145Z https://new.denisgorodkov.com/mata22/syllabus 2026-07-11T23:14:36.147Z https://new.denisgorodkov.com/mata22/tutorials/week2 2026-07-11T23:14:36.148Z https://new.denisgorodkov.com/mata22/tutorials/week3 2026-07-11T23:14:36.149Z https://new.denisgorodkov.com/mata22/tutorials/week4 2026-07-11T23:14:36.149Z https://new.denisgorodkov.com/mata22/tutorials/week5 2026-07-11T23:14:36.151Z https://new.denisgorodkov.com/mata22/tutorials/week6.5 2026-07-11T23:14:36.153Z https://new.denisgorodkov.com/mata22/tutorials/week6 2026-07-11T23:14:36.152Z https://new.denisgorodkov.com/mata22/tutorials/week7.5 2026-07-11T23:14:36.155Z https://new.denisgorodkov.com/mata22/tutorials/week7 2026-07-11T23:14:36.154Z https://new.denisgorodkov.com/mata22/write-ups/coordinate-map 2026-07-11T23:14:36.160Z https://new.denisgorodkov.com/mata22/write-ups/rref 2026-07-11T23:14:36.157Z https://new.denisgorodkov.com/mata22/write-ups/set-equality 2026-07-11T23:14:36.159Z https://new.denisgorodkov.com/mata22/write-ups/theorems-and-definitions 2026-07-11T23:14:36.162Z https://new.denisgorodkov.com/research 2026-07-11T23:14:35.957Z https://new.denisgorodkov.com/teaching 2026-07-11T23:14:35.958Z