Calculus - Series and Sequences (English)

   Monday, November 16, 2020   

Starting a new Lecture Notes Series on Calculus - Series and Sequences

Youtube Lecture Playlist Credits 

Channel Name: Michel van Biezen

Faculty Name: Michel van Biezen Sir

So Let Us Start to This Journey of Learning 

Calculus - Series and Sequences By Lecture Notes together!

Lecture Description of this above Topic:

Lecture 1: Overview

Lecture 2: Sequences: What is a Sequence?

Lecture 3: Sequences and Limits

Lecture 4: Converging and Diverging Sequences

Lecture 5: Example of Converging Sequence

Lecture 6: Determining the Limit of a Sequence

Lecture 7: What is a Series?

Lecture 8: Important Form of an Infinite Geometric Series

Lecture 9: Find the Sum of the Geometric Series

Lecture 10: Sequences: Find the First Terms

Lecture 11: Sequences: Find the Formula - Ex. 1

Lecture 12: Sequences: Find the Formula - Ex. 2

Lecture 13: Sequences: Find the Formula - Ex. 3

Lecture 14: Sequences: Find the Formula - Ex. 4

Lecture 15: Sequences: Find the Formula - Ex. 5

Lecture 16: Sequences: Find the Formula - Ex. 6

Lecture 17: Sequences: Find the Formula - Ex. 7

Lecture 18: Sequences: Converging or Diverging - Type 1

Lecture 19: Sequences: Converging or Diverging - Type 2

Lecture 20: Sequences: Converging or Diverging - Type 3

Lecture 21: Sequences: Converging or Diverging - Type 4

Lecture 22: What is a Monotonic Sequence?

Lecture 23: Challenging: Finding the Limit 1

Lecture 24: Challenging: Finding the Limit 2

Lecture 25: Series: A Converging Series Ex. 1

Lecture 26: Series: A Converging Series Ex. 2

Lecture 27: Series: Diverging Series Ex. 3

Lecture 28: Series: A Special Technique Ex. 1

Lecture 29: Series: A Special Technique Ex. 2

Lecture 30: Series: A Special Technique Ex. 3

Lecture 31: Series: A Special Technique Ex. 4

Lecture 32: General Approach to Find Con- or Di-vergence

Lecture 33: Finding Con- or Di-vergence: Ex. 1/3

Lecture 34: Finding Con- or Di-vergence: Ex. 2/3

Lecture 35: Finding Con- or Di-vergence: Ex. 3/3

Lecture 36: The P-Series Test for Convergence: Example

Lecture 37: The Geometric Series: Example 1

Lecture 38: The Geometric Series: Example 2

Lecture 39: Using Partial Fractions

Lecture 40: When Similar -- Use Comparison Test: Ex. 1

Lecture 41: When Similar - Use Comparison Test: Ex. 2

Lecture 42: When Similar -- Use Comparison Test: Ex. 3

Lecture 43: When Similar -- Use Comparison Test: Ex. 4

Lecture 44: What is Power Series?

Lecture 45: Difference Between Power & Geometric Series

Lecture 46: Determine If the Power Series Converges

Lecture 47: Determine Range of x for Series to Converge

Lecture 48: Find Radius=? & x=? for Series to Converge

Lecture 49: Summary on Convergence of Power Series

Lecture 50: Find the Radius of Convergence: 1

Lecture 51: Find the Radius of Convergence: 2

Lecture 52: Function Written as Powere Series

Lecture 53: Function Written as Powere Series: Ex 1

Lecture 54: Function Written as Powere Series: Ex 2

Lecture 55: Function Written as Powere Series: Ex 3

Lecture 56: Use Differentiation to Find Power Series

Lecture 57: Use Integration to Find Power Series

Lecture 58: How to Find the Value of pi: Part 1

Lecture 59: How to Find the Value of pi: Part 2

Lecture 60: Power Series to Solve Definite Integral

Lecture 61: Power Series Representation of Functions

Lecture 62: What is the Taylor Series?

Lecture 63: What is the Maclaurin Series?

Lecture 64: Application of the Maclaurin Series

Lecture 65: Find the Maclaurin Series for sinx

Lecture 66: Find the Maclaurin Series for cosx

Lecture 67: Maclaurin Series for a Binominal Expansion: 1

Lecture 68: Maclaurin Series for a Binominal Expansion: 2

Lecture 69: Maclaurin Series for a Binominal Expansion: Ex.

Lecture 70: Maclaurin Series for a Binominal Expansion: Ex.

Lecture 71: Summary of Common Maclaurin Series

Lecture 72: Sum=? of an Infinite Series: Ex. 1

Lecture 73: Sum=? of an Infinite Series: Ex. 2

Lecture 74: Sum=? of an Infinite Series: Ex. 3

Lecture 75: Evaluating the integral of e^[-(x)^2]

Lecture 76: Use the Maclaurin Series to Find Limit: 1

Lecture 77: Use the Maclaurin Series to Find Limit: 2

Lecture 78: The Maclaurin Series of a Product

Lecture 79: The Maclaurin Series of a Quotient

Lecture 80: The Taylor Series Revisisted

Lecture 81: Karnaugh Map (K' Map) - Part 1

Lecture 82: Approximation with Taylor Polynomial

Lecture 83: Approximating a Fct. for a Range of Values

Lecture 84: Evaluating the Error

Lecture 85: Special Theory of Relativity: Example

Lecture 86: Special Theory of Relativity: Example