# Rob Malo

## Math 172 - Calc II - Spring 2017

Quizzes and Solutions

## Math 182 - Honors Calc II - Spring 2017

• Section 1: MTRF 8:00 - 8:50 - WIL 1-124
• Syllabus
• Schedule
• Quiz 3 - Sections 7.3, 7.5 - Tuesday 21st.
• Quiz 4 - Chapter 7 - Tuesday 28th.
• Suggested Homework
• 7.1 # 5,7,13,17,21, 23,27,35,43,49, 58,75,79
• 7.2 # 1,5,9,15,17,19, 23,27,29,31,35, 39,43,44,49,53, 59,65,72,77
• HAND IN, Due 9 Feb: 7.2 #73, 80, 81 - solutions - May work in groups of 1 to 3 people.
• 7.3 # 5,9,13,15, 17,19,23,29, 34,35,37,39, 49,51
• 7.5 # 11,17,21,25,35, 47,49,51,57 // 5,7,13,31
• HAND IN, Due 21 Feb: Section 7.3 and 7.5 HW - solutions
• 7.6 # 1,3,5,7,9, 13,15,19,21,23, 24,27,33,35,43, 45,53,56
• 7.7 # 5,9,11,15,19, 37,41,43,45,47, 51,55,59,61,63, 71,75,77,89,101
• HAND IN, Due 28 Feb: 7.7 #58,88,90,96,102 - May work in groups of 1 to 3 people.
• 8.1 # currently misplaced, pick some problems you like....
• 8.3 # 13,17,21,29,31
• 10.1 # 5,7,13,17,23, 29,33,35,39,41, 51,55,57,61,65, 67,71,75,76
• 10.2 # 5,7,11,13,15, 17,25,27,29,31, 33,39,43,47,49, 53,58,65
• 10.3 # 11,13 (use either the Integral Test or CCT), 17,19,25, 31,33,37, 41,43,47, 53,59,65, 67,79,81
• 10.4 # 3,5,9,11,17, 21,23,33,35,37
• 10.5 # 3,5,7,9,15, 19,23,27,29,41, 43,45,47,49,59
• HAND IN, Due 4 April: 10.5 #44,46,50,54,58
• 10.6 #3,7,13,17,23, 35,39,41,43,45
• HAND IN, Due 6 April: 10,16,38,42,46
• 10.7 #3,5,9,13,19, 27,31,39,43,47, 59,67,73,83,85
• HAND IN, Due 7 April: 14,32,42,48,60
• 11.1 # 5,7,13,19,25, 27,31,3,35,43, 45,49,57,63,66, 76,97
• 11.2 # 3,5,8,9,11, 19,21,23,33,37
• 11.3 # 7,9,11,13,15, 17,19,23,31,33, 39,53
• 11.4 # 3,7,10,13,15, 16,19,23,25,27

Things, Quizzes, and Solutions

Final Exam - solutions

• Tuesday - 2 May - 8-9:50
• There will be a table of given information combining the information from exam 2 and exam 3.  It will be reformatted.
• The exam will be 100 points, roughly in these proportions.
• 40-50 points - Chapter 11 - Everything we discussed is fair.
• 20-30 points - Chapter 7 - 7.1 -7.3, 7.5 - 7.7.  Expect most techniques of integration to make an appearance.
• A reasonable collection of these types of problems (Ch 7 and Ch 11) can be found on the 172 review here; solutions here.
• 10ish points - A work problem from 6.5.
• 10-30 points - Chapter 10 - 10.2, 10.5-10.7
• up to 10 points - Something reasonable, yet interesting, combining the above.
• A selection of additional review problems can be found here; solutions.

Exam 3 - solutions

• Tuesday 11 April in class - 75 points
• A table of Maclaurin series will be given
• The 172 review found here, solutions here, provides reasonable examples of the type of questions I write.
• The exam will be roughly broken into four parts.
• Short answer.   See 1, 5, 13, 14, and 16-27 on the review for examples of the type of problems I plan.
• Formally write up argument to show convergence/divergence of two or three series.
• One technical problem.
• Show a series conditionally converges, 4.b on the review is one such example,
• OR
• Find the interval of convergence for a power series, see 7 on the review.
• Power series questions.
• Radius of convergence, see 6 on the review.
• Find the first few terms of a Taylor series, see 9 on the review.
• Manipulate known series to generate new series, see 8 and 11 on the review.
• Use a series to compute a limit or an integral, see 10 and 15 on the review.

Exam 2 - solutions

• Tuesday 7 Mar in class - 75 points
• Given information
• Many of the problems will be similar to what is on the 172 review here; solutions.  Ignore probability and fluid force questions - 6, 9-11, 14, 15
• The exam will consist of the following 7 problems.
• 4 integrals - various techniques - IBP, trig, trig sub, pfd, improper
• 1 comparison test
• 1 arc lenght
• 1 surface area

Exam 1 - solutions

• Thursday 9 Feb in class - 75 points
• Page 1 - routine integrals
• Page 2 - routine applications
• These two pages will make up roughly 50 points.
• Problems will be similar to the 172 review problems posted here with solutions here.
• In addition, there will be problems from section 7.2 that are not covered in the 172 material.
• Page 1 may spill onto page 2, and page 2 may spill onto page 3.
• Pages 3 and 4 will be 182 material - roughly 25 points.  Although these pages are still in limbo, be prepared to do any of the following.
• Use IBP to derive a reduction identity.
• Verify common geometric formulas using appropriate calculus methods.
• Use Chapter 7 integration methods to solve Chapter 6 applications.