Course curriculum

  • 1

    Week 1 - Course Introduction

  • 2

    Week 2 - Definitions, Classifications and Golden Rules

    • Lesson 2.1 - Definitions & Conventions

    • Lesson 2.2 - Classifications

    • Lesson 2.3 - Golden Rules

    • Week 2 - Takeaways

    • Week 2 - Quiz
  • 3

    Week 3 - History and Departure Point

    • 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
  • 4

    Week 4 - Graphical Representation

  • 5

    Week 5 - Periodic Alternate Series of Integers

    • 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
  • 6

    Week 6 - Periodic Monotonic Series of Integers

    • 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
  • 7

    Week 7 - Aperiodic Alternate Series of Integers

    • 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
  • 8

    Week 8 - Aperiodic Monotonic Series of Integers

    • 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
  • 9

    Week 9 - Basic Operations on Series of Integers

    • 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
  • 10

    Week 10 - Exercises

    • 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
  • 11

    Week 11 - Wrap-up and Way Forward

    • Lesson 11.1 - Wrap-up

    • Lesson 11.2 - Way Forward

    • Week 11 - Post-course Survey