Unit 7:  Sequence and Series Convergence

Unit 7:  Sequence and Series Convergence

COVID Era Unit 7 Videos

• Day 24.9999:  Sequences (CUT in 2025)

  • • If super curious:

      • • Video 1:  What is a Sequence?

        • Video 2:  The Limit of a Sequence

        • Video 3:  Two More Examples

        • Video 4:  Yep... Two More Examples

        • Video 5:  The Monotonic Sequence Theorem

        • Video 6:  Proving Our Sequence is Monotonic

        • Video 7:  Proving Our Sequence is Bounded

        • Video 8:  The Limit of Our Sequence

        • Video 1:  One More Monotonic Sequence

    • 8.1:  3-19 odd, 25, 26, 44

    • Print off Series Flow Chart for Day 25

    • Finalize at least 7 of the 12 problems on the Take-Home Math 251/252/253 FINAL

    • Continue working through the AP Calculus Review Book you bought earlier (THIS ONE)

• Day 25:  Definition of a Series, Finite Series, Harmonic Series

  • Video 2:  The Definition of a Series

  • Video 3:  Finite Series and Summation Notation (French Accents Only Please)

  • Video 4:  Test for Divergence

  • Video 5:  The Flow Chart

    • • Series Flow Chart

  • Video 6:  The Harmonic Series (First Time)

  • Video 7:  Shortcuts Coming

  • Video 8:  An Intoduction to Geometric Series

  • Video 9:  Proof of Geometric Series

  • Video 10: Two Geometric Series Examples

  • Video 11: Telescoping Series

    • Series Flow Chart

    • Series Estimation Program for TI-Calculators

    • 8.2:  9-27 odd, 33, 35

    • Work on the Take-Home Math 251/252/253 FINAL

• Day 26:  Integral Test (45)

  • Video 1:  The Harmonic Series (For a Second Time)

  • Video 2:  What if P = 2?

  • Video 3:  The General Integral Test

  • Video 4:  The P-Series

  • Video 5:  The Flow Chart and the Integral Test

    • Start 8.3:  7-23 odd 

    • Finalize at least 8 of the 12 problems on the Take-Home Math 251/252/253 FINAL

• Day 27:   Comparison and Limit Comparison Test (75)

  • • 8.3:  7-23 odd 

    • Finalize at least 8 of the 12 problems on the Take-Home Math 251/252/253 FINAL

• Day 28:  Error Bounds.  Alternating Series (45)

  • Video 1:  Alternating Series

  • Video 2:  Couple of Quick Examples

  • Video 3:  Alternating Series Error Bound

    • Start 8.4:  5, 7, 12-14, 17, 19-22

• Day 29:   Absolute convergence, Ratio Test and Requests (60)

  • • 8.4:  5, 7, 12-14, 17, 19-22

    • Use your textbook and AP Practice book to create a practice quiz

    • Finalize at least 9 of the 12 problems on the Take-Home Math 251/252/253 FINAL

• Day 30: Requests, Workday

  • • 8.3:  26ac, 27ac, 29, 31, 32

    • 8.2:  9-27 odd, 33, 35

    • 8.3:  7-23 odd 

    • Continue working through the AP Calculus Review Book you bought earlier (THIS ONE)

• Day 31:  Series Quiz (45)

  • • Finish the Take-Home Math 251/252/253 FINAL

    • Pick a BC multiple choice no calculator practice exam and time yourself for 60 UNINTERRUPTED minutes.  Correct it and bring questions outside of class.

    • Read your practice book's chapter on Taylor Polynomials to prepare for the next two days