Post date: Feb 28, 2020 2:25:31 PM
Friday 2/29: Overview of Series. Begin 10.1 with review of the precalculus of series. Discuss what an infinite series is and how to use partial sums to determine convergence. Discuss Infinite Geometric Series.(notes posted online).
HW: Section 10.1: 2-20 even, 21-24, and Exploration on P. 481
Monday 3/2: Discuss creating power series using term by term differentiation or term by term integration
HW: Section 10.1: 27, 31, 36, 37, 48, 50, 51, 54-60, 64, 72, Exploration 3 on p.484 and Exploration 1 on p. 488
Tuesday 3/3: Read 10.2 focusing on the definition of the McClaurin Series (Taylor Series centered at x=0) and how we use the chart on page 495.
Complete: Section 10.2: 3, 5, 7, 10, 12, 22, 24
Wednesday 3/4: Go over HW. Review 3 different methods of finding a series to represent a function. Finish Discussing 10.2 (Taylor Series centered at x=a) .
HW: Section 10.2: 13, 23, 25ab, 27, 32, 33, 37-42
Thursday 3/5 Go over HW. Pass out Review Worksheet for 10.1-10.2 to complete in groups
HW: Finish Review Sheet
Friday 3/6: Checkpoint on 10.1 and 10.2 (writing series to represent functions centered at x=0). Study for p. 495 quiz that's next week- we are not announcing the date
HW: Read 10.4
Monday 3/9: Begin Section 10.4: Radius of Convergence and how the nth term test and ratio test work.
HW: Section 10.4: 31, 34, 37, 40, 43, 44
Tuesday 3/10: Go over HW from 10.4. More 10.4- Ratio Test with a power series and finding radius of convergence.
HW: Section 10.4: 9, 12, 15, 17, 21, 24
Wednesday 3/11: We are now looking at the convergence of series at a distance of R from the center. Introduce the p-series test and the alternating series test. Discuss comparison tests, absolute convergence, conditional convergence
HW: Read Section 10.5
Thursday 3/12: Workday on 10.5. Complete Section 10.5: 36, 38, 42, 47, 61
Friday 3/13: Discuss Error in Series Approximations. Give overview and then discuss Alternating Series Estimation Theorem (10.5) and Remainder Estimation Theorem (10.3). Pass out 2 AP Free Response WS.. Pass back Series Quizzes. Discuss Distance Learning Plan.
HW: Do AP Free Response WS and check solutions online.
INITIAL PLAN: Due to the change in schedule, we will not have a Series test at this time. In lieu of a test, all students will complete the following Assignment from the Chapter Review.
Required Chapter Review Problems : 2, 4, 6, 8, 13, 14, 33-36, 57a, 61a, 37-40, 55a, 56, 58ab, 60, 62- These will serve as your assessment graded on completion only. You will be submitting these to google Classroom during week one of distance learning.
THE WEEK OF 3/30, YOU WILL RECEIVE AN EMAIL TO YOUR SCHOOL EMAIL ACCOUNT WITH A KHAN ACADEMY INVITATION TO JOIN OUR ONLINE CLASS WHERE SOME FUTURE ASSIGNMENTS WILL BE.