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Last Update 05/27/2024
Completion Time 2 weeks 4 days 3 hours 3 minutes
Members 214
    • General Instructions and Books to Study for CSIR-NET Mathematical Sciences
  • Linear Algebra
    • Linear algebra 1
    • Linear Algebra 2
    • Linear algebra 3
    • Linear Algebra 4
    • Linear Algebra 5
    • Linear Algebra 7
    • Linear Algebra 8
    • Linear Algebra 6
    • Linear Algebra 9
    • Linear Algebra 10
    • Linear Algebra 11
    • Linear Algebra 12
    • Linear Algebra 13
    • Linear algebra 14
    • LINEAR ALGEBRA 15
    • LINEAR ALGEBRA 16
    • Linear Algebra 17
    • 23 07 2023 Linear Algebra (1)
    • Linear algebra 18
    • Linear Algebra 19
    • Linear Algebra 20
    • Linear Algebra 21
    • Linear Algebra 22
    • Linear Algebra 23
    • Linear Algebra 24
    • Linear Algebra 25
    • Linear Algebra 26
    • Linear Algebra 27
    • Linear Algebra 28
    • Linear Algebra 29
    • Linear Algebra 30
    • Linear Algebra 31
    • Linear Algebra 32
    • Linear Algebra 33
    • Linear Algebra 34
    • Linear Algebra 35
    • Linear Algebra 36
    • Linear Algebra 37
    • Linear Algebra 38
    • 01 11 2023 Linear Problems
    • 17-11-2023 Linear Algebra problem solving 1
    • 17 11 2023 Linear Algebra problem session 2
    • 18-11-2023 linear algebra problem solving 1
    • 18 11 2023 Linear + real Problem Solving
    • 19-11-2023 linear algebra problem solving 1
    • 19_11_2023 Linear Algebra problem solving 2
    • 21-11-2023 part 2 LA problem session
      New
    • 23 12 2023 Linear Inner product Bilinear problem 1
      New
    • 23 12 2023 Linear Quadratic problems 2
      New
    • 04 01 2024 Linear Algebra GATE problem
      New
    • 25 01 2024 Linear Problems 1
      New
  • Real Analysis
    • Real Analysis 1
    • Real Analysis 2 ( Polynomial Tail _ Descartes Rule _ Graphs)
    • Real Analysis 3 (Metric Spaces)
    • Real Analysis 4
    • Real Analysis 5
    • Real Analysis 6
    • REAL ANALYSIS 7
    • Real Analysis 8
    • Real Analysis 9
    • Real analysis 10
    • REAL ANALYSIS 11
    • Real Analysis 12
    • Real Analysis 13
    • Real Analysis 14
    • Real Analysis 15
    • Real Analysis 16
    • Real Analysis 17
    • Preview
    • Real Analysis 19
    • Real Analysis 20
    • Real Analysis 21
    • Real Analysis 22
    • Real Analysis 22 (II)
    • Real Analysis 23
    • Real Analysis 24
    • Real Analysis 25
    • Real Analysis 26
    • Real Analysis 27
    • Real Analysis28
    • Real Analysis 29
    • Real Analysis 30
    • Real Analysis 31
    • REAL ANALYSIS 32
    • Real Analysis 33
    • Real Analysis 34
    • Real Analysis 35
    • Real Analysis 36
    • Real Analysis 37
    • Real Analysis 38
    • Real Analysis 39
    • REAL ANALYSIS _ Boundedness _ Archimedean Property
    • 16_09_2023 Real analysis 2 Problems
      New
    • 16-09-2023 Real Analysis 1 _ Problems
      New
    • 25 _ 11_ 2023 Real Analysis (Problem Solving) part 1
      New
    • 26-11-2023 Real analysis problem solving 1
      New
    • 27-11-2023 real analysis problem solving 1
      New
    • 29 11 2023 Real Analysis Problem session
      New
    • 30 11 2023 Real Analysis Problem session 1
      New
    • 30 11 2023 Real Analysis problem session 2
      New
    • 01 12 2023 Real Analysis Problem solving
      New
    • 02-12-2023 real analysis _ Improper Integral 1
      New
  • Ordinary differential equation
    • 21 04 2024 ODE 1 _ Introduction _ Slope Field
    • 22.04.2024 ODE 2 _ Applications of Differential Equations
    • 23 03 2024 ODE 3 _ Solution finding
    • 24 03 2024 ODE 4 _ 2nd order DE _ Wronskian
    • 24 03 2024 ODE 5 _ Exact _ Solving Methods
    • 25 03 2024 ODE _ Wronskian _ Problems
    • 26 03 2024 ODE _ Picard existence Theorem _
    • 31 03 2024 1 _ ODE _ recalling 1st order ode and discussing about finding solution of 2nd order ode
    • 31 03 2024 2 _ ODE _ Method of Undetermined coeff
    • 01 04 2024 _ ODE _ Problems
    • 02 04 2024 _ ODE _ Cauchy Euler eqn
    • 03 04 2024 _ ODE _ Power series solution _ Frobenius
    • 04 04 2024 _ ODE _ System of DE
  • Calculus of variations
    • 25 03 2024 COV 1 _ Intro _ Euler Eq
    • 25 03 2024 COV 2 _ Problems
    • 26 03 2024 COV 3 _ Extremals _ Problems
  • Functions of Several Variables
    • 27 03 2024 _ FoSV _ Introduction _ open, closed
    • 29 03 2024 FoSV _ Derivative
    • 29 03 2024 _ FoSV _ Continuity
    • 30 03 2024 _ FoSV _ Partial derivatives _ Directional derivatives
    • 05 04 2024 _ FoSV _ Differentiability _ Inverse fn theorem
  • Partial differential equations
    • PDE 1
    • PDE 2
    • PDE 3
    • PDE 4
    • PDE 5
    • PDE 6
    • PDE 7
    • PDE 8
    • PDE 9
    • PDE 10
    • PDE 11
    • PDE 12
    • PDE 13
    • PDE 14
    • PDE 15
    • PDE 16
    • PDE 17
    • PDE 18
    • PDE 19
    • PDE 20
    • PDE 21
    • PDE 22
  • Topology
    • Preview
    • 07 04 2024 2 _ Topo _ Outcast Topology _ Finer Coarser
    • 07 04 2024 3 _ Topo _ Comparing topologies
    • 07 04 2024 4 _ Topo _ Basis for a topology
    • 07 04 2024 5 _ Topo _ Basis examples _ Standard Topology Basis
    • 08 04 2024 1 _ Topo _ basis _ metric space topology
    • 08 04 2024 2 _ Topo _ Metric Space Topology _ Discrete metric topology and discrete topology
    • 08 04 2024 3 _ Topo _ Comparing Basis of Std, lower limit, upper limit and Rk Topologies
    • 09 04 2024 1 _ Topo _ Convergence in Topology
    • 09 04 2024 2 _ Topo _ Convergence _ Closed
    • 09 04 2024 3 _ Topo _ Interior _ Closure
    • 09 04 2024 4 _ Topo _ Subspace Topology
    • 09 04 2024 5 _ Topo _ Basis for Subspace Topology
    • 09 04 2024 6 _ Topo _ Limit Points
    • 11 04 2024 _ Topo 15 _ Order Topology _ Dictionary Order topology _ Product Topology
    • 11 04 2024 _ Topo 16 _ Product Topology Basis _ Limit Points Results
    • 11 04 2024 _ Topo 17 _ Hausdorff Space _
    • 11 04 2024 _ Topo 18 _ T1, T2 axiom (Hausdorff) Properties
    • 11 04 2024 _ Topo 19 _ Inverse Image of Open Set is Open
    • 11 04 2024 _ Topo 20 _ Homeomorphism _ Pasting Lemma _ Sequence Lemma
    • 15 04 2024 _ Topo 21 _ Connected _ Finite Cartesian Product of Connected sets _ Subspace Connected
    • 15 04 2024 _ Topo 22 _ Path Connected _ Example
    • 15 04 2024 _ Topo 23 _ Path connected implies Connected _ Topological Sine Curve
    • 16 04 2024 _ Topo 24 _ Compact _ Examples
    • 16 04 2024 _ Topo 25 _ Compact in Subspaces _ Theorems
    • 16 04 2024 _ Topo 26 _ Image , Product of Compact sets _ Problems
    • 17 04 2024 _ Topo 27 _ Connected Components
    • 17 04 2024 _ Topo 28 _ Path Connected Component _ Locally Connected
    • 17 04 2024 _ Topo 29 _ Locally Path Connected _ Problems
    • 2024 04 18 18 17 44 _ 30 - dense problem solving in topology
    • 18 04 2024 _ Topo 31 _ Topology Problem Solving
    • 18 04 2024 _ Topo 32 _ Topology Problem Solving
    • 19 04 2024 _ Topo 33 _ Matrices M2(R) Compact Topology
    • 19 04 2024 _ Topo 34 _ Closed in M2 (R)
    • 19 04 2024 _ Topo 35 _ Sup Norm Topology in C[0,1]
    • 19 04 2024 _ Topo 36 _ Compact with respect to 1 Norm Topology in C[0,1]
    • 19 04 2024 _ Topo 37 _ Compact and Connected with respect to 1 Norm and Home Work Problems
    • 20 04 2024 _ Topo 38 _ Limit point Compact _ Sequentially Compact
    • 20 04 2024 _ Topo 39 _ Locally Compact
    • 20 04 2024 _ Topo 40 _ First Countable
    • 13 05 2024 _ TOP 41 _ SECOND COUNTABLE AND LINDELOF SPACE
    • 13 05 2024 _ TOP 42 _ REGULAR SPACE & NORMAL SPACE
    • 13 05 2024 _ TOP 43 _ URYSOHN LEMMA AND URYSOHN METRIZATION THEOREM
    • 13 05 2024 _ TOP 44 _ TIETZE EXTENSION THEOREM & TYCHONOFF THEOREM
    • 13 05 2024 _ TOP 45 _ BOX & PRODUCT TOPOLOGY
  • Numerical methods
    • 08 04 2024 _ Numerical 1 _ Intro _ Root finding methods _ Bisection Method
    • 08 04 2024 _ Numerical 2 _ Fixed point Iteration
    • 10 04 2024 _ Numerical 3 _ Fixed point Theorem Graphical Approach
    • 10 04 2024 _ Numerical 4 _ Regular Falsi _ Newton Raphson Methods
    • 10 04 2024 _ Numerical 5 _ Secant Method _ Order of Convergence
    • 10 04 2024 _ Numerical 6 _ Order of Convergence _ Interpolation _ Lagrange Method
    • 10 04 2024 _ Numerical 7 _ Error in Interpolation _ Newton Divided Difference
    • 10 04 2024 _ Numerical 8 _ Spline Interpolation
    • 12 04 2024 _ Numerical 9 _ Numerical Integration _ Trapezoidal Rule
    • 12 04 2024 _ Numerical 10 _ Error in Trapezoidal Rule _ Simpson 1_3rd Rule
    • 12 04 2024 _ Numerical 11 _ Simson 1_3rd, 3_8th Rule
    • 15 04 2024 _ Numerical 12(1) _ Decomposition Problem
    • 15 04 2024 _ Numerical 12 _ System of Equations _ Gauss Elimination _ Gauss Jordon _ Decomposition
    • 15 04 2024 _ Numerical 13 _ Sys of Eq - Iteration Methods _ Gauss Jacobi _ Gauss Seidel
    • 17 04 2024 _ Numerical 14 _ Diagonally Dominant _ Iterative method convergence
    • 17 04 2024 _ Numerical 15 _ Numerical Solution For ODE _ Euler Method
    • 17 04 2024 _ Numerical 16 _ Error Bound for Euler Method _ Problems
    • 15 05 2024 _ NUMERICAL 17 _ PROBLEM SOLVING SESSION
    • 15 05 2024 _ NUMERICAL 18 _ PROBLEM SOLVING SESSION
    • 15 05 2024 _ NUMERICAL 19 _ PROBLEM SOLVING SESSION
  • Integral equations
    • 13 04 2024 _ Int Eq 1 _ Intro _ Overview
    • 13 04 2024 _ Int Eq 2 _ Definitions _ Integral Equation _ Voltra _ Fredholm _ Degenerate
    • 13 04 2024 _ Int Eq 3 _ Convolution Kernel _ Leibnitz Rule _ Problems
    • 13 04 2024 _ Int Eq 4 _ Problems
    • 13 04 2024 _ Int Eq 5 _ Multiple Integrals _ Conversion of ODE to IE
    • 14 04 2024 _ Int Eq 6 _ BVP to IE
    • 14 04 2024 _ Int Eq 7 _ Problems
    • 14 04 2024 _ Int Eq 8 _ Problems
    • 16 04 2024 _ Int Eq 9 _ Iterative Kernel _ Resolvent Kernel
    • 16 04 2024 _ Int Eq 10 _ Kernel Problems
    • 17 04 2024 _ Int Eq 11 _ Resolvant Kernel Problems _ Problems
    • 17 04 2024 _ Int Eq 12 _ Solution Existence
    • 17 04 2024 _ Int Eq 13 _ Successive Approximation
    • 17 04 2024 _ Int Eq 14 _ Conversion of second kind to first kind VIE
    • 18 04 2024 _ Int Eq 15 _ Eigen Values
    • 18 04 2024 _ Int Eq 16 _ Soln of Homo FIE 2nd kind with Seperable Kernel
    • 18 04 2024 _ Int Eq 17 _ Eigen Values Problems
    • 18 04 2024 _ Int Eq 18 _ Non Homo 2nd Kind FIE with Degenerate Kernel
  • Complex Anlaysis
    • 21 04 2024 _ CA 1 _ Intro _ Birth of Complex Analysis
    • 21 04 2024 _ CA 2 _ Geometric Representation
    • 21 04 2024 _ CA 3 _ basic complex analysis
    • 21 04 2024 _ CA 4 _ Stereographic projection
    • 21 4 2024 _ CA 5 _ limit of the complex valued function
    • 21 04 2024 _ CA 6 _ differentiation definition
    • 22 04 2024 _ CA 7 _ Differentiability
    • 22 04 2024 _ CA 8 _ Cauchy - Riemann Equation
    • 22 04 2024 _ CA 9 _ Properties of Cauchy - Riemann Equation
    • 22 04 2024 _ CA 10 _ Theorems and Problems on C-R Eqn and Differentiability
    • 22 04 2024 _ CA 11 _ Analyticity _ Definition
    • 22 04 2024 _ CA 12 _ Analyticity _ Problems
    • 22 04 2024 _ CA 13 _ Differentiability, Analyticity relate with C- R Eqn _ Problems
    • 23 04 2024 _ CA 14 _ Recall _ C-R Eqn _ Analytic _
    • 23 04 2024 _ CA 15 _ Polar Form of C-R Eqn _ Problem _ L'Hôpital's rule in Complex _
    • 23 04 2024 _ CA 16 _ Complex Quiz _ Analytic
    • 23 04 2024 _ CA 17 _ Harmonic Functions _ Laplace Eqn, Polar Form _
    • 23 04 2024 _ CA 18 _ Harmonic Conjugate _ Problems
    • 24 024 2024 _ CA 19 _ Theorem on Analytic constant fn on a closed domain
    • 24 04 2024 _ CA 20 _ Bilinear Transformation _ Rotation _ Translation _ Magnification
    • 24 04 2024 _ CA 21 _ Inversion BLT
    • 24 04 2024 _ CA 22 _ Inversion _ Inverse of BLT _ Fixed Point in C infinity _
    • 25 04 2024 _ CA 23 _ BLT from Real line to Unit Circle _
    • 25 04 2024 _ CA 24 _ BLT from Im Axis onto Unit Circle _ Real line to Real line
    • 25 04 2024 _ CA 25 _ BLT from Im line - Im line _ Real line - Im line _ Unit Circle - Unit Circle
    • 25 04 2024 _ CA 26 _ BLT from Unit circle - Unit circle _ Circle -Circle _ Unit Circle - Circle
    • 25 04 2024 _ CA 27 _ BLT for given 3 Distinct Points
    • 25 04 2024 _ CA 28 _ Transformation of z, iz, z^2, z^3, z^n
    • 25 04 2024 _ CA 29 _ e^z Transformation
    • 24 04 2024 _ CA 30 _ e^z Periodicity _ e^iz _
    • 26 04 2024 _ CA 31 _ Power Series Representation _ Convergence _
    • 26 04 2024 _ CA 32 _ Power Series Diverges _ Problems
    • 26 04 2024 _ CA 33 _ Power Series Cgs Problems _
    • 26 04 2024 _ CA 34 _ Series Converges Condition _ Cauchy - Hadamard Theorem
    • 26 04 2024 _ CA 35 _ Radius of Convergence of Series _
    • 26 04 2024 _ CA 36 _ Radius of Convergence _ Results _ Problems
    • 26 04 2024 _ CA 37 _ Derivative of a series has Radius of Cgs same as the series
    • 26 04 2024 _ CA 38 _ Determination of the Coeff of the Series
    • 27 04 2024 _ CA 39 _ Power Series - Analytic Functions Representation _
    • 27 04 2024 _ CA 40 _ Radius of Convergence _ Squeeze Theorem _
    • 27 04 2024 _ CA 41 _
    • 27 04 2024 _ CA 42 _
    • 27 04 2024 _ CA 43 _
    • 27 04 2024 _ CA 44 _
    • 27 04 2024 _ CA 45 _
    • 28 04 2024 _ CA 46 _ Complex Integration _ Contour Integral _
    • 28 04 2024 _ CA 47 _ Integration on Contours _ Problems _
    • 28 04 2024 _ CA 48 _ Analytic Fns in Simply Connected Domain _ Cauchy's Thm _ Cauchy's Weak Theorem
    • 28 04 2024 _ CA 49 _ Analytic Fns on multiply Connected Domain _ Cauchy's Theorem for Rectangles
    • 28 04 2024 _ CA 50 _ Cauchy's Theorem for a Disk _ Multiply Connected Domain
    • 28 04 2024 _ CA 51 _ Cauchy's Theorem _ Winding Number _
    • 28 04 2024 _ CA 52 _ Generalized Cauchy's Theorem _ Taylor's Theorem _
    • 28 04 2024 _ CA 53 _ Morera's Theorem _ Cauchy's Inequality _
    • 28 04 2024 _ CA 54 _ About Entire Functions
    • 28 04 2024 _ CA 55 _ Liouville's Theorem _ Questions _
    • 28 04 2024 _ CA 56 _ Generalized Liouville's Theorem _ Picard's Theorem _ Problems
    • 29 04 2024 _ CA 56 _ Application of Cauchy inequality _ Growth Lemma _ Fundamental Thm of Algebra _
    • 29 04 2024 _ CA 57 _ Theorems on Complex Polynomials
    • 29 04 2024 _ CA 58 _ Zero's are Isolated (1)
    • 29 04 2024 _ CA 59 _ Uniqueness Theorem (1)
    • 29 04 2024 _ CA 60 _ Identity Theorem (1)
    • 29 04 2024 _ CA 61 _ Introduction of Singularity Part 1
    • 29 04 2024 _ CA 62 _ Introduction of Singularity Part 2
    • 29 04 2024 _ CA 63 _ Types of Singularities
    • 29 04 2024 _ CA 64 _ Examples and Theorems on Singularity
    • 08 05 2024 _ CA 65 _ CASORATI WEIERSTRASS THEOREM
    • 08 05 2024 _ CA 66 _ CORRALLARY ABOUT ESSENTIAL SINGULARITY
    • 08 05 2024 _ CA 67 _ PICARD'S THEOREM
    • 08 05 2024 _ CA 68 _ ESSENTIAL SINGULARITY ON EXTENDED COMPLEX PLANE
    • 08 05 2024 _ CA 69 _ RESULTS ON EXTENDED COMPLEX PLANE ABOUT SINGULARITIES
    • 08 05 2024 _ CA 70 _ EXAMPLES FOR SINGULARITIES ON EXTENDED COMPLEX PLANE
    • 08 05 2024 _ CA 71 _ COMPAREITION OF COMPLEX PLANE AND EXTENDED COMPLEX PLANE ON SINGULARITIES
    • 09 05 2024 _ CA 72 _ LAURENT'S SERIES PART-1
    • 09 05 2024 _ CA 73 _ LAURENT'S SERIES PART-2
    • 09 05 2024 _ CA 75 _ LAURENT'S SERIES AND RESIDUE
    • 10 05 2024 _ CA 76 _ RESIDUE THEOREM AT SIMPLE POLES
    • 10 05 2024 _ CA 77 _ RESIDUE AT INFINITY
    • 10 05 2024 _ CA 78 _ RESIDUE ON EXTENDED COMPLEX PLANE
    • 10 05 2024 _ CA 79 _ ARGUMENT PRINCIPLE
    • 10 05 2024 _ CA 80 _ ROUCHE'S THEOREM
    • 11 05 2024 _ CA 81 _ PROBLEMS ON ROUCHE'S THEOREM
    • 11 05 2024 _ CA 82 _ OPEN MAPPING THEOREM AND GAUSS THEOREM
    • 11 05 2024 _ CA 83 _ MAXIMUM MODULUS THEOREM
    • 11 05 2024 _ CA 84 _ MINIMUM MODULUS THEOREM & SCHWARZ LEMMA
    • 11 05 2024 _ CA 85 _ SCHWARZ PICK LEMMA
    • 11 05 2024 _ CA 86 _ THEOREMS AND RESULTS ON COMPLEX ANALYSIS