| Ch. 7 | AB Review Unit #1 | Ch. 9 | AB Review Unit #2 | Ch. 8a | Ch. 8b | Fourth Quarter |
Textbook Solutions: Online, Android App, iPhone App (on the app, choose "Calculus and Linear Algebra", then "Calculus for AP 1e")
Links To All Class Notes: OneNote
Tuesday, December 3, 2019
- Intro to Sequences
- Intro to Series/Sigma Notation
- Geometric Series
- nth Term Test for Divergence
- Homework
- Pg. 540: #3, 9, 11-14, 19-22, 33-55 odd, 93
- Not Pg. 549
Thursday, December 5, 2019
- Reviewed nth term test for divergence
- Integral Test
- p-Series Test
- Homework
- Pg. 549: #5-17 eoo, 29-33 odd, 41, 43, 47, 49, 55 odd, 61, 65a, 65b, 83
- Pg. 557: #1-9 odd, 13, 25, 27, 33-38, 51, 69, 73, 75
Monday, December 9, 2019
- Direct Comparison Test
- Limit Comparison Test
- Homework: George Best 2011 - Test 1 (solutions) Omit the Following (if you show up and say "I thought we were only supposed to do the following. I was so confused." I will do such a power frown.):
- From the no-calculator MC: #8, 14, 20, 27
- From the calculator MC: #8, 15
- From the free response: #4, 6
Wednesday, December 11, 2019
- Midterm Review
- Homework
- If you did not finish the homework that was assigned Monday and that was due today, finish it
- Do these six problems
- Here is more midterm review, but it is not due Friday. It's just here in case you want the practice. Or in case you're looking for a way to show me how hard you're willing to work to master AP Calculus BC: George Best 2011 - Test 2 (solutions)
- Omit from the no-calculator MC: #9, 15
- Omit from the calculator MC: #1, 9, 12
- Omit from the free response: #6
Tuesday, January 7, 2020
- Review convergence/divergence tests we know so far
- Alternating Series Test
- Alternating Series Error Bound
- Quiz next class
- What does it mean for a sequence to converge?
- What is a partial sum?
- What do partial sums have to do with the convergence of a series?
- Understand sigma notation
- How to apply the n-th term test for divergence
- How to apply the geometric series test
- Find the sum of an infinite geometric series
- Write the explicit formula given the first few terms of a sequence. Examples
- Homework due Monday
- Comparison Tests: Pg. 564: #3-8, 13-25 odd, 27-34, 70, 71
- Alternating Series: Pg. 573: #7-19 odd, 27, 29, 32, 34, 37, 41-53 odd, 69-78, 80, 81 (the orange problems we haven't learned yet)
- This is 54 problems. This is an amount that's reasonable for 6 days, but you'll be mad at yourself if you do it all Sunday. Show some self discipline and do that thing where you do some each day and feel really proud of yourself for getting work done ahead of time.
Thursday, January 9, 2020
- Absolutely convergent vs. conditionally convergent
- Quiz: nth term, geometric, sequence/series basics
- There is not a quiz next class
- Homework
- Comparison Tests: Pg. 564: #3-8, 13-25 odd, 27-34, 70, 71
- Alternating Series: Pg. 573: #7-19 odd, 27, 29, 32, 34, 37, 41-53 odd, 69-78, 80, 81
Monday, January 13, 2020
- Ratio Test
- Root Test
- Quiz Next Class
- p Series
- Integral Test
- Direct Comparison Test
- Homework
- Pg. 581: #15, 19, 23-27 odd, 33, 34, 37-40 all, 47-60, 63, 65
Wednesday, January 15, 2020
- Quiz: p Series, Integral, DCT
- Power Series
- Interval of Convergence
- Radius of Convergence
- Homework
- Ch 8a Multiple Choice: odds only
- Pg. 602: #1-5 odd, 15-19 odd, 43
Friday, January 17, 2020
- Power Series
- Differentiating, Integrating, and how these operations affect IOC/ROC
- Representing Rational Functions as Power Series
- Homework
- Ch. 8a Multiple Choice: evens
- Pg. 602: #47(a, b, d), 49(a, b, d), 59 a-b, 61, 71, 72, 78, 79
Wednesday, January 22, 2020
- Representing Functions as Power Series
- Review Ch 8a
- Quiz Next Class: Any of the convergence/divergence tests we know
- Homework
- Big Series Review Worksheet
- Pg. 610: #5-11 odd, 13, 15, 19, 20, 21, 23, 31
Friday, January 24, 2020
- Review
- Talk about ducks
- Quiz: All Convergence Tests
- Homework
- Pg. 624: #3-7 odd, 11, 13, 17-20 all, 23-31 odd, 35-45 odd
Tuesday, January 28, 2020
- Taylor + Maclaurin Series
- The general formula
- The basic 5 (the first page of this document has those five plus one for ln(1+x) )
- How to manipulate the basic 5
- Test next class: Ch 8a
- Everything we learned January 13th and earlier regarding sequences and series
- All the homeworks you've done so far except pg. 610
- Homework
- Due Monday: Taylor and Maclaurin Series Worksheet
Thursday, January 30, 2020
- Ch 8a Test
- I so so appreciate everyone being cool with taking the test in Ms. Herron's classroom.
- Homework
- Due Monday: Taylor and Maclaurin Series Worksheet: #1-15