Ranjan Khatu

Continuous function and Equivalent metrics | L21 | TYBSc Maths | Continuous Functions @ranjankhatu

Taylors Theorem and its proof | L1 | TYBSc Maths | Power Series @ranjankhatu

Complete Metric Space | Lecture 11 | Cauchy Sequence in a Metric Space

Complex Analysis | Unit 1 | Lecture 9 | Basic Properties of Complex Numbers

Finding Interval of Convergence of Power Series | L19 | TYBSc Maths | Power Series @ranjankhatu

Complex Analysis | Unit 1 | Lecture 17 | Finding Roots of given equation

Complex Analysis | Unit 1 | Lecture 14 | Roots of Complex Numbers

Sequence of Real Valued Functions - Lecture 9 - Finding pointwise Limit of Sequence of Functions

Sequence of Real Valued Functions - Lecture 10 - Finding limit of Sequence of Functions

Sequence of Real Valued Functions - Lecture 11 - Finding Limit of Sequence of Functions

Series | Lecture 11 | Algebra of Convergent Series

Metric Spaces | Lecture 41 | Set of Interior Points is an Open Set

Metric Spaces | Lecture 42 | Set A is Open iff A= Set of Interior Points of A

Metric Spaces | Lecture 40 | Interior Points

Evaluation of Line Integral Using Greens Theorem | Lecture 46 | Line Integrals @ranjankhatu

Riemann Integration | Lecture 1 | Partition of an Interval

Riemann Integration | Lecture 5 | Refinement of Partition

Basic Complex Analysis - Unit 3 - Lecture 5 - Singular Point

Laplace Transforms | Lecture 5 | Laplace Transforms of some Standard Functions

Complex Analysis | Unit 2 | Lecture 12 | Cauchy Integral Formula

Triple Integration | Lecture 22 | Evaluation of Triple Integral using Spherical Coordinates

Line Integrals | Lecture 17 | Evaluation of Line Integral of a Vector Field

Stokes Theorem and its Proof | Surface Integral @ranjankhatu

Complex Analysis | Unit 1 | Lecture 39 | Definition of Analytic Function

Zero of an Analytic Function | L1 | Residue Theorem @ranjankhatu

Sequences of Real Valued Functions - Lecture 3 - Uniform Convergence

Complex Analysis | Unit 1 | Lecture 34 | Finding Radius of Convergence of Given Power Series

Sequence of Real Valued Functions - Lecture 8 - Example of Uniformly Convergent Sequence of Function

Rolles Mean Value Theorem | Proof

Gauss Divergence Theorem and its Proof | Surface Integral @ranjankhatu

Series | Lecture 23 | Testing of Convergence of Series using Comparison Test

Cantors intersection Theorem | L50 | TYBSc Maths | Completeness @ranjankhatu

Complex Analysis | Unit 1 | Lecture 3 | Additive Properties of Complex Numbers

Line Integrals | Lecture 39 | Verification of Greens Theorem for given Example @ranjankhatu

R2 is Complete Metric Space with Euclidean Metric | L35 | TYBSc Maths | Completeness @ranjankhatu

Sequence of Real Valued Functions - Lecture 5 - Properties of Uniform Convergence of Sequence of Fun

Complex Analysis | Unit 1 | Lecture 19 | Sequence of Complex Numbers

Basic Complex Analysis - Unit 3 - Lecture 3 - Definition of Residue and its formulae

Complex Analysis | Unit 2 | Lecture 11 | Cauchy Goursat Theorem

Basic Complex Analysis - Unit 3 - Lecture 23 - Evaluation of Integral using Cauchys Residue Theorem

Basic Complex Analysis - Unit 3 - Lecture 17 - Residue Calculation at Simple Pole

Definition of continuous function | L1 | TYBSc Maths | Continuous Functions @ranjankhatu

Basic Complex Analysis - Unit 3 - Lecture 7 - Removable Singular Point

Sequence of Real Valued Functions - Lecture 2 - Pointwise Convergence of Sequence of Functions

Complex Analysis | Unit 1 | Lecture 18 | Stereographic Projection

Complex Analysis | Unit 2 | Lecture 13 | Example of Cauchy's Integral Formula

Continuous function and Equivalent metrics | L21 | TYBSc Maths | Continuous Functions @ranjankhatu

Example of Laurent's Series | L21 | TYBSc Maths | Complex Power Series

Metric Spaces | Lecture 46 | Definition and Examples of Closed Set

Power Series Expansion of Given Function | L20 | TYBSc Maths | Complex Power Series

Radius of Convergence and Interval of Convergence | L4 | TYBSc Maths | Power Series