Sukkur IBA University- Mathematics

Lecture 0.1: Way forward for Topology Course

Lecture 0.2: What is meaning of idea/notion being mathematically rigorous?

Lecture 0.3: Emergence of topology: a historical perspective

Lecture 0.4: A strange topological universe

Lecture 0.5: When two objects are not topologically equivalent in the strange universe?

Tutorial 1: Ring and Holy doughnut problems with solution

Lecture 0.6: The bigger picture of Topology!!

Lecture 0.7: Why topological way of thinking matters? Is it useful? Some examples!!

Lecture 15 (Part 2): Scalar and vector fields on surfaces; Integrating fields on surfaces;

Lecture 19 (Part 4): Product rule (under curl) for cross product of two vector fields

Multivariable Calculus Lecture 1 (Part 2): Review of basic properties of vectors

Lecture 15 (Part 4a): Detailed proof of Stokes Theorem for Stokes Surfaces with boundaries

Lecture 11 (Part 2): Examples of joint distribution of two discrete random variable;

Lecture 19 (Part 8): Space of simple functions is dense in Lp-spaces (proof)

Lecture 14 (Part 4): Equivalence of sequential compactness and compactness in R

Lecture 19 (Part 4): Sequential compactness and its relation with compactness

Lecture 19 Part 4 Sequential compactness and its relation with compactness