Mathematics I (English)

1    Tuesday, May 20, 2025   

Starting a new Lecture Notes Series on Mathematics I

Youtube Lecture Playlist Credits 

Channel Name: nptelhrd

So Let Us Start to This Journey of Learning 

Mathematics I By Lecture Notes together!

Lecture 1: Lecture 1 - Real Number

Lecture 2: Lecture 2 - Sequences I

Lecture 3: Lecture 3 - Sequences II

Lecture 4: Lecture 4 - Sequences III

Lecture 5: Lecture 5 - Continuous Function

Lecture 6: Lecture 6 - Properties of Continuous function

Lecture 7: Lecture 7 - Uniform Continuity

Lecture 8: Lecture 8 - Differentiable function

Lecture 9: Lecture 9 - Mean Value Theorems

Lecture 10: Lecture 10 - Maxima - Minima

Lecture 11: Lecture 11 -Taylor's Theorem

Lecture 12: Lecture 12 - Curve Sketching

Lecture 13: Lecture 13 - Infinite Series I

Lecture 14: Lecture 14 - Infinite Series II

Lecture 15: Lecture 15 - Tests of Convergence

Lecture 16: Lecture 16 - Power Series

Lecture 17: Lecture 17 - Riemann integral

Lecture 18: Lecture 18 - Riemann Integrable functions

Lecture 19: Lecture 19 - Applications of Riemann Integral

Lecture 20: Lecture 20 - Length of a curve

Lecture 21: Lecture 21 - Line integrals

Lecture 22: Lecture 22 - Functions of several variables

Lecture 23: Lecture 23 - Differentiation

Lecture 24: Lecture 24 - Derivatives

Lecture 25: Lecture 25 - Mean Value Theorem

Lecture 26: Lecture 26 - Maxima Minima

Lecture 27: Lecture 27 - Method of Lagrange Multipliers

Lecture 28: Lecture 28 - Multiple Integrals

Lecture 29: Lecture 29 - Surface Integrals

Lecture 30: Lecture 30 - Green's Theorem

Lecture 31: Lecture 31 - Stokes Theorem

Lecture 32: Lecture 32 - Gauss Divergence Theorem