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2024

Aug 25Tikz Test
Jan 11Algebraic number theory problem sheet 1
Jan 11Algebraic number theory problem sheet 2
Jan 11Algebraic number theory problem sheet 3
Jan 11Algebraic number theory problem sheet 4

2023

Apr 15Group theory paper 2020
Apr 15Group theory paper 2022
Apr 15Group theory paper2021
Apr 15Group theory paper2022
Apr 14Group theory problem sheet 1
Apr 14Group theory problem sheet 2
Apr 14Proof of the jordan–hölder theorem
Jan 18Berkeley prelim workshop groups
Jan 18Berkeley prelim workshop intro
Jan 18Berkeley prelim workshop linear algebra
Jan 18Berkeley prelim workshop rings
Jan 17Topology exercises
Jan 17Topology paper 2015
Jan 17Topology paper 2016
Jan 17Topology paper 2018
Jan 17Topology paper 2019
Jan 17Topology paper 2020
Jan 17Topology paper 2022
Jan 16Criterion to test if [a,b+√d] is an ideal
Jan 16Rings and modules exercises
Jan 16Rings and modules paper 2020
Jan 16Rings and modules paper 2022 selected
Jan 16Rings and modules paper 2022
Jan 16Rings and modules problem sheet 1
Jan 16Rings and modules problem sheet 2
Jan 16Rings and modules problem sheet 3
Jan 16Rings and modules problem sheet 4
Jan 16Topologist's sine curve
Jan 16Topology lectures
Jan 16Topology problem sheet 1
Jan 16Topology problem sheet 2
Jan 16Topology problem sheet 3
Jan 16Topology problem sheet 4
Jan 16Tube lemma
Jan 16Compact in ℓp
Jan 15Differential equations 2 exercises
Jan 15Differential equations 2 paper 2018
Jan 15Differential equations 2 paper 2019
Jan 15Differential equations 2 paper 2020
Jan 15Differential equations 2 paper 2022
Jan 14Differential equations 2 problem sheet 1
Jan 14Differential equations 2 problem sheet 2
Jan 14Differential equations 2 problem sheet 3
Jan 14Differential equations 2 problem sheet 4
Jan 13Differential equations 2 lectures
Jan 12Integration 2022 Exam Original
Jan 11Integration 2022 Exam
Jan 10Integration 2020 Exam
Jan 09Integration 2018 Exam
Jan 08Integration 2015 Exam
Jan 07Integration Lectures
Jan 06Lebesgue integration exercises
Jan 06Positivemeasureset contains nonmeasurableset
Jan 05Frulani integrals
Jan 04Fubini's Theorem, $L^p$ spaces
Jan 03Convergence theorems and consequences
Jan 02Measurable functions and the lebesgue integral
Jan 01Lebesgue measure

2022

Oct 12Metric spaces and complex analysis exercises
Oct 12Metric spaces and complex analysis paper 2018
Oct 12Metric spaces and complex analysis paper 2019
Oct 12Metric spaces and complex analysis paper 2020
Oct 12Metric spaces and complex analysis paper 2022
Oct 11Accumulation points of accumulation points of accumulation points
Oct 11Complex substitutions are not allowed
Oct 11Connected component
Oct 11Extended liouville's theorem
Oct 11Extended proof of the theorem that a bounded analytic function is constant
Oct 11The residue theorem and its applications
Oct 10Complex analysis problem sheet 1
Oct 10Complex analysis problem sheet 2
Oct 10Complex analysis problem sheet 3
Oct 10Complex analysis problem sheet 4
Oct 10Complex analysis problem sheet 5
Oct 09Linear algebra exercises
Oct 09Linear algebra paper 2016
Oct 09Linear algebra paper 2019
Oct 09Linear algebra paper 2022
Oct 09Metric spaces problem sheet 1
Oct 09Metric spaces problem sheet 2
Oct 09Metric spaces problem sheet 3
Oct 08Direct sum isomorphic to sum
Oct 08Inverse of upper triangular matrices
Oct 08Linear algebra problem sheet 1
Oct 08Linear algebra problem sheet 2
Oct 08Linear algebra problem sheet 3
Oct 08Linear algebra problem sheet 4
Oct 08Solution sets and annihilators
Oct 08Strictly upper triangular matrices are nilpotent
Oct 08A matrix is normal⇔unitarily diagonalizable
Oct 08Annihilator of an intersection contains the sum of annihilators
Oct 07Probability exercises
Oct 07Probability paper 2020
Oct 07Probability paper 2022
Oct 07Probability paper2019
Oct 07Probability paper2020
Oct 07Probability paper2022
Oct 07Probability problem sheet 1
Oct 07Probability problem sheet 2
Oct 07Probability problem sheet 3
Oct 07Probability problem sheet 4
Oct 07The central limit theorem
Oct 06Differential equations 1 paper 2016
Oct 06Differential equations 1 paper 2018
Oct 06Differential equations 1 paper 2019
Oct 06Differential equations 1 paper 2020
Oct 06Differential equations 1 paper 2022
Oct 05A problem on maximum principle
Oct 04Second order semi Linear pdes
Oct 03Plane autonomous systems of odes and first order semi Linear pdes
Oct 02Systems of non Linear odes
Oct 01Odes and picard's theorem
Feb 01Groups and group actions problem sheet 1
Feb 01Groups and group actions problem sheet 2
Feb 01Groups and group actions problem sheet 3
Feb 01Groups and group actions problem sheet 4
Feb 01Groups and group actions problem sheet 5
Feb 01Groups and group actions problem sheet 6
Feb 01Groups and group actions problem sheet 7
Feb 01Groups and group actions problem sheet 8

2021

Nov 09Associates and Irreducibles
Oct 27Prime and Maximal Ideals
Oct 26Proposition about Ideals Operation
Oct 24Second Isomorphism Theorem for Groups
Oct 24Third Isomorphism Theorem for Groups
Oct 23First Isomorphism Theorem for Groups
Oct 08Periodic Continued Fractions
Sep 09Liouville's theorem
Sep 09Liouville’s theorem on diophantine approximation
Aug 23Pell's equation
Aug 22Fundamental 1-unit in Z√d
Aug 22Logic proposition for partition conditions
Aug 20Quadratic algebraic integer
Aug 18Representing primes by quadratic forms
Aug 16Alternative proof for Fermat’s Two-Square Theorem
Aug 15Prime in Z𝑖
Aug 12Euclidean domain Z𝑖
Aug 06Fermat’s Two-Square Theorem
Aug 05Primitive root proposition
Jul 28Law of Quadratic Reciprocity
Jul 28Quadratic Reciprocity
Jul 26Gauss's lemma
Jul 23Euler's Criterion
Jul 22Fundamental Theorem of Algebra
Jul 22Primitive root theorem

2020

Feb 01Euler Poincaré formula
Jan 31Alternating group is simple for all n≥5
Jan 31Maximal abelian subgroup ⟺ self Centralizing
Jan 27Segre Symbols
Jan 26Equivalence of seven major theorems in combinatorics
Jan 25Selected solutions to mathematical methods of classical mechanics
Jan 24Countable total orders
Jan 24Well Ordering theorem
Jan 23Lifting the exponent
Jan 22Lambert w function
Jan 21Polynomials that commute under composition
Jan 20Discrete poisson equation
Jan 19Postscript
Jan 19Prolog
Jan 19Λ calculus & haskell & monad
Jan 18Gamma function
Jan 17Counting distinct determinants of generic matrices under permutation
Jan 17Zero technique in matrix
Jan 16Chord diagram
Jan 15Rectangle from incenters of cyclic quadrilateral
Jan 15∫cos(2x)sec(3x)
Jan 14N Point Set Contruction
Jan 13Barycentric Coordinates
Jan 11Karamata's inequality
Jan 11Theory of majorization
Jan 10Φ(x)=2t
Jan 09Quantifier elimination
Jan 08Abel Transform
Jan 07Abel's Test
Jan 06What is a Gröbner basis?
Jan 05Homogeneous Coordinates
Jan 04Dini's theorem
Jan 04Properties of the exponential
Jan 04Single variable calculus
Jan 04Completeness Of ℝ
Jan 03Cubic Spline Interpolation
Jan 01The princeton companion to mathematics
Jan 01Which Math Book Do You Regret Not Reading Earlier