Math 142

Chapter 11 Homework

section

handouts

note to yourself
of due date

homework problems
pre-11.1
Sequences 		    In Section 11.1, we will learn about the limit of a sequence. This concept is closely related to a limit of a function, which was covered in Calc. I in Sections 2.2-2.4. If you so need, go back and review these sections.
11.1
Sequences 		handout   5, 17, 19, 21, 23, 29 (hint: simplify first using algebra to get rid of the factorial (!) sign - cancellation heaven), 35, 39, 45.
11.1
Sequences 		Review of § 11.1
for Exam 1 		  problems (do the circled ones)
solutions
Varberg, Purcell, Ridgon (8th ed) § 10.1
Exam 1
pre-11.2
Series
Series Summary
Series Flow Chart
These 2 handouts will be distributed in class. 		  Before the class lecture on Section 11.2, read Section 11.2 in the textbook. This is a hard section so you will greatly benifit from reading the textbook before attending the lecture.
11.2
Series
  • geometric series
  • telescoping series
  • nth term test for divg.
 		 
  • Basics: 1, 10, 17, 19, 21, 23, 25, 29, 31, 35, 38.
    Solutions
  • Challenging but important: 65, 66, 68, 69, 70, 73a.
    Solutions
11.2
Series 		optional problems   problems
solutions
Varberg, Purcell, Ridgon (8th ed) § 10.2
Covers: geometric series, telescoping series, and nth term test for divg.
11.3
Integral Test
(positive term series) 		  9, 15, 19, 21, 27, 31.
11.3
Integral Test
(positive term series) 		optional problems   problems
solutions
Varberg, Purcell, Ridgon (8th ed) § 10.3
11.4
CT & LCT
(positive term series) 		  1, 2, 3, 5, 7, 9, 11, 13, 17, 21, 29, 31, 39, 40a, 40b (also do using the helpful intuition from class), 41a, 41b (also do (i) and explain why you cannot do (ii) using the helpful intuition from class), 43.
Sol'n
11.5
AST 		Lecture Notes   1ab, 3, 5, 7, 9, 11, 13, 15, 17, 19.
11.5
ASET 		Lecture Notes   23, 25.
11.6
Ratio & Root Tests 		Lecture Notes   1, 3, 5, 7, 9, 11 (hint: e^(1/n)/n^3 <= e/n^3), 15 (hint: |arctan n| <= pi/2), 17, 21, 23, 25, 29, 33 (important for § 11.8).
11.7
Strategy for Testing Series 		   
  • Read the section. A formal lecture will not be given in class. Section 11.7 is a review of Sections 11.2 - 11.6.
  • Determine whether the series is absolutely convergent, conditionally convergent, or divergent for 1 - 37 odd (omit 29).
  • Sol'n
11.2 - 11.7
a review 		    After finishing the homework for Sections 11.1 - 11.7, do the 15 problems on the (linked) Serious Series Problems handout.
After giving these 15 Serious Series Problems a hard honest shot, look at the (linked) Answers and Hints handout.
11.4 & 11.6
CT, LCT, RT, RT 		optional problems   problems
solutions
Varberg, Purcell, Ridgon (8th ed) § 10.4
11.5
AST 		optional problems   problems
solutions
Varberg, Purcell, Ridgon (8th ed) § 10.5
11.8
Power Series 		lecture notes   Click here for your homework assignment.
Sol'n for 63.
Answers to the other 6 problems.
Exam 2
11.9
Repr. Functions as Power Series 		handout
lecture notes 		  1, 5, 7, 11, 13, 14, 15, 23
Some Solutions
pre 11.10 & 11.11
Taylor Series & Polynominals 		    Work through this
Taylor/Maclaurin Polynomial warm-up
handout before we start these sections. The homework is listed at the top of the page (i.e., Homework problems 2, 4, 5, 6). This homework will be handed in and graded.
11.10 & 11.11
Taylor Series & Polynomials 		handout
lecture notes 		  Here is a PDF file of the homework.
Give the problems a good honest shot before looking at the solutions:
11.10 & 11.11
Taylor Series & Polynomials 		handout   A nice read on Taylor Polynomials and Series from How to Ace the rest of Calculus by Adams, Hass, and Thompson

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