Introduction to Divergent Series of Integers (DSI-101)
An introduction to divergent series of integers, how to determine their sum, and how to represent them graphically.
Lesson 2.1 - Definitions & Conventions
Lesson 2.2 - Classifications
Lesson 2.3 - Golden Rules
Week 2 - Takeaways
Week 2 - Quiz
Lesson 3.1 - History
Lesson 3.2 - Congruence & Notations
Lesson 3.3 - Two-step Operation
Lesson 3.4 - Departure Point
Lesson 3.5 - More Examples and Theorem
Week 3 - Takeaways
Week 3 - Quiz
Lesson 5.1 - Graphical Representation of the Periodic Series [2-1]
Lesson 5.2 - Graphical Representation of the Periodic Series [1-2]
Lesson 5.3 - Graphical Representation of the Periodic Alternate Series [2]
Lesson 5.4 - Graphical Representation of the Periodic Series [1+1-2]
Lesson 5.5 - Graphical Representation of the Periodic Series [1-2+1]
Lesson 5.6 - Theorem of Bounded Periodic Series
Week 5 - Takeaways
Week 5 - Quiz
Lesson 6.1 - Graphical Representation of the Periodic Series [1+2]
Lesson 6.2 - Graphical Representation of the Periodic Series [2+1]
Lesson 6.3 - Graphical Representation of the Periodic Series [1+2+3]
Lesson 6.4 - Generalised Periodic Series [1+2+...+r]
Week 6 - Takeaways
Week 6 - Quiz
Lesson 7.1 - Graphical Representation of the Alternate Series of Natural Numbers
Lesson 7.2 - Alternative Representation of the Alternate Series of Natural Numbers
Lesson 7.3 - Graphical Representation of the Alternate Series of Odd Numbers
Lesson 7.4 - Alternative Graphical Representation of the Alternate Series of Odd Numbers
Lesson 7.5 - Graphical Representation of the Alternate Series of Powers of 2
Lesson 7.6 - Alternative Graphical Representation of the Alternate Series of Powers of 2
Lesson 7.7 - Algebraic Proof for Alternate Series of Powers of 2
Lesson 7.8 - Algebraic Proof for Alternate Series of Powers of r
Week 7 - Takeaways
Week 7 - Quiz
Lesson 8.1 - Graphical Representation of the Series of Natural Numbers
Lesson 8.2 - Graphical Representation of the Series of Powers of 2
Lesson 8.3 - Algebraic Proof for Series of Powers of 2
Lesson 8.4 - Algebraic Proof for Series of Powers of r
Week 8 - Takeaways
Week 8 - Quiz
Lesson 9.1 - Permutations of Terms of a Series
Lesson 9.2 - Multiplication of Divergent Series by a Number
Lesson 9.3 - Addition of Two Divergent Series of Integers
Lesson 9.4 - Subtraction of a Divergent Series of Integers from another
Lesson 9.5 - Combination of Addition (or Subtraction) and Multiplication
Week 9 - Takeaways
Week 9 - Quiz
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Week 10 - Takeaways
Week 10 - Quiz
Lesson 11.1 - Wrap-up
Lesson 11.2 - Way Forward
Week 11 - Post-course Survey