Calc II, HW

In the calendar below, the class meetings are grouped into 7 blocks of about 2 weeks each. I may have to adjust some dates and content, but will also announce any major changes in class. You can print this page out, but be sure to check it regularly for updates. The HW lists are intended to be the minimal required to get by. You should do at least 50 per cent more, by choosing similar questions for yourself.

How to read the tables: As you can see from the first table below, I expect to cover Ch 5.4 thru 5.7 in the first 3 lectures. I have assigned daily homework (HW) on these sections. Homework 1 is due Thursday, June 30 [it includes all the assigned problems from Chs 5.4, 5.5 and 5.6]. Exam 1 will be Wed July 6, on Ch 5.4 thru Ch 5.8 (each midterm exam will usually include the lecture 2 days before it). HW 2 is due on July 7, on Chs 5.7 thru 6.2.

On 6/30, the note "E1 rks" means I may update my remarks on this page about Exam 1 at that time, and I may also discuss the exam briefly in class. I do not usually provide details in advance about exam questions, and will not hold review days, unless we are ahead of schedule. Our LA should be able to help with that after class. Don't worry about any abbreviations under "lecture topics", as those are mainly notes for myself. As always, please contact me if you don't understand anything, or if you see a mistake.

You should be reading Ch 5 and doing HW 1, which is listed below. Look over this website including the syllabus, my policies and the exam page (to check if you are ready for the course, you could also try my Calc I exam page). If you need special treatment (a certified disability, a religious holiday conflict, you don't want your HW graded, have tech issues, etc) see me ASAP. If there is a good reason why you can't be in class at normal times, see me. Make up your mind ASAP about whether to commit to the course or to drop it.

I have posted some True-False practice quizzes on my exam page. There may be problems like these on any of my exams, and students tell me that the practice quizzes help. If you are having any problems, this would be a good time to start coming by my office, or sending me email about them. If you find an error on this website or make a similar contribution, I may give a little extra credit. Include your name on any email you send me.

I encourage you to join a study group, but answer the graded exercises by yourself. If you use a solutions manual, just use it to check your work. Our HW grader will not give credit for copied answers. You are not required to own a graphing calculator or CSA and can skip any steps that ask you to use those. Calculators or graphing software may be helpful for HW, and for example, you can download MathGV (free). But calculators are not allowed on exams.

Day	Date	I give you	You give me	Lecture topics	HW
1	M 6/27	Syllabus, Web Site		Sums	5.4 - 1, 3, 8, 11, 15, 17, 21-24, and 27, 35, 39, 43, 57, 64, 66
2	T 6/28			Integrals	5.5 - 1, 2, 5, 10, 15, 17, 19, 21, 29-32, 37
3	W 6/29			Integrals Motion	5.6 - 1, 3, 5, 9, 10, 11, 13, 20, 31, 37-40, 69, 71 5.7 - 1, 2, 3, 5, 9, 14, 23-30, 32, 37
4	R 6/30	E1 rks	HW 1 (thru 5.6)	Averaging Def - Subn	5.8 - 1, 2, 5, 9, 13, 19-22, 23 5.9 - 1, 5, 12, 19, 25, 29, 40, 63

Notice that HW 2 includes Ch. 5.7 through Ch 6.1 and is due the day after Exam 1. Several HW2 problems may go a bit beyond my lectures. You are expected to try these yourself, but if you get stuck, you may see me or Camilo for help. Email is OK. As of 7/1, we are a bit behind, and I am not sure we'll get through Ch 6.1 on 7/5. If not, I will probably remove that from the HW 2 list later this week.

Exam 1 mainly covers HW 1, but also my lectures through 6/30 (the pattern is - it covers the lecture two days before), and a conceptual problem or two. Before Exam 1, read Ch 5.4 - 5.9, and practice with True-False (see my exam page, my old exams, your HW, etc). I probably won't include much from Ch 5.8 (Average Value) on Exam I, since my 6/30 lecture did not cover that well. You can find some of my old exams on my exam page, for more practice, but "Exam I" of this semester will probably cover less than "Exam I" of previous semesters. Also, look over the unassigned exercises, and the review on pages 408 - 412. Be prepared for the fairly-long problems including both sums and limits (eg Ch 5.4 - problems 41 to 52). Proofs to know for Exam I:

If you are concerned about which answers need to be simplified, etc, see my grading policies, but it's not required reading.

NOTE: Camilo, our Learning Assistant, is available in DM 409A every day after class (approx 230pm to 330pm). If you really want to get off to a good start, make a habit of seeing him regularly, look over my help pages, explore links there, visit me, or email me with questions. I am always interested in hearing what you find helpful, or not, and may give extra credit for catching website errors, or making a similar contribution. Just email me, with your name included. Remember that FIU offers you several other ways of getting math help outside of class [See the FIU Learning Center, the math dept web page, or my help pages]. If you try these, I'd like to hear what you think. Always check this page a few days before each exam for possible updates.

Day	Date	I give you	You give me	Lecture topics	HW
5	M 7/4	Holiday			None
6	T 7/5	HW1 back		Logs Between Curves	5.10 - 1, 3, 5, 7, 9, 11, 15, 19-22, 24, 25, 35 6.1 - 1, 2, 5, 9, 13, 14
7	W 7/6	Exam 1			None
8	R 7/7		HW 2 (thru 6.1)	Disks, washers, Shells	6.2 - 1, 2, 9, 11, 21, 25, 27-30, 41, 57, 63 6.3 - 1, 3, 5, 11, 13, 17-20, 29

I am not sure how many activities go on in Summer, but see me if interested in any of these - the FIU Math Club, practice sessions for the Putnam Exam, choosing your next math courses, our actuarial program, Calculus recitation sessions, etc.

In Ch.7, make sure you know all the given methods (all the cases). I've tried to assign at least one HW problem for each, but may have missed some, or you may need more practice.

Day	Date	I give you	You give me	Lecture topics	HW
9	M 7/11	Return E1 and HW2		Length S Area	6.4 - 1, 3, 9-12, 27 6.5 [optional extra credit - see me]
10	T 7/12			Work	6.6 - 1, 8-13, 16, 17, 21, 23, 25
11	W 7/13			Tables IBP	7.1 - 3, 5 7.2 - 3, 11, 16, 19, 21, 25, 29, 39-42, 49, 64a, 65b
12	R 7/14		HW 3 (thru 7.1)	Trig + Subs	7.3 - 9, 10, 11, 13, 17, 25, 29, 33, 53-56, 57a

Exam 2 will be 7/19, mostly on HW 2 and 3. It may have a few problems based on my lectures through 7/14, and on the reading through Ch 7.3. You should know the main methods and formulas of Ch.6 - such as the disk, washer, and shell methods, the arc length formulas. Also, be able to set up and solve problems with springs, water tanks, chains, rockets, etc.

Practice the integration methods of Ch. 7.1 thru 7.3. I won't ask you to memorize the surface area formula, or the trig reduction formulas. You should be able to use these if I give them to you, or answer very basic true-false questions about them. I have posted some true-false questions (see my exam page) for you to practice with. For Exam 2, prepare to justify/explain -

Notice that the drop deadline is 7/21/11 (but check this yourself, as I sometimes err).

Several people have asked about the 6.5 extra credit project. I haven't made any strict rules, but roughly, I expect you to do about 10 to 20 exercises from that section, to show me that you have learned it well. You can choose the problems yourself, but include some even numbers and some higher numbers. The more effort, the more credit is likely, up to about the same credit as one HW. I'd like to have them by 7/21/11 (I'll probably accept them after that, but may impose a small lateness penalty). Keep them separate from HW 4.

Day	Date	I give you	You give me	Lecture topics	HW
13	M 7/18	H3 back		Trig Sub Partial Frac's	7.4 - 1, 3, 5, 7, 8, 13, 27-30, 33, 37 7.5 - 1, 5, 7, 9, 14, 15, 29, 35-38, 39
14	T 7/19	Exam 2
15	W 7/20			More PFs 7.5, 7.6 More Tables	7.6 - 5a, 13a, 21a [omit CAS]
16	R 7/21		HW 4 (thru 7.6)	Approximation	7.7 - 1, 7, 13, 19-22, 25, 31, 34, 37, 41, 45

Day	Date	I give you	You give me	Lecture topics	HW
17	M 7/25	E2+HW4 back		Improper I's Sequences	7.8 - 1, 5, 7, 17, 19, 20, 33-36, 37, 53 9.1 - 1, 3, 7, 12, 13, 23, 25, 31-34, 35, 47
18	T 7/26			Mono Seq's	9.2 - 1, 3, 7, 10, 13-16, 17, 25, 29
19	W 7/27			Series	9.3 - 1, 3, 5, 7, 10, 15, 17-20, 23, 26, 27, 38
20	R 7/28		HW 5 thru 9.3	Conv Tests	9.4 - 1, 4, 5, 7, 9, 15, 17, 19, 22, 23, 31-34 9.5 - 1, 3, 4, 5, 6, 11, 16, 17, 21-24, 25, 31, 40

Exam 3 on 8/2/11 will cover Chs 7.2 through early 9.5, omitting Ch 8, and the Ratio/Root Tests. Focus mainly on the sections in HW 4-5 (Chs 7.2 -9.3) . Practice integrals from the Ch7 review exercises, which mix many types together. Review the Midpoint Rule, Trapezoid Rule, etc, and be able to use the error estimates, but don't memorize them. Know what it means for a series to converge - understand partial sums. Be able to compute the numerical answer when the series is geometric or telescoping. Do some HW from Ch 9.4-9.5, but I'll try not to put anything too hard from these sections on this exam.

Know the proofs of these theorems - 9.3.3 (including a proof of eqn(9)), 9.4.1 and 9.5.1.

Day	Date	I give you	You give me	Lecture topics	HW
21	M 8/1			Alt S's	9.6 - 1, 3, 7, 13, 14, 15, 21, 29-32, 33, 37, 43, 51
22	T 8/2	Exam 3
23	W 8/3			Taylor poly's	9.7 - 1, 3, 7, 10, 17, 19, 31-34, 35, 43
24	R 8/4		HW 6 thru 9.7	Power series	9.8 - 5, 9, 11, 19, 25-28, 29, 31, 33, 36, 43 9.9 - 1, 3, 6, 13, 17

Be sure to hand in everything (late HW 5 or 6, notes from doctors, any extra work, etc) by Tues 8/9. It is too late for late HW 1-4. You can check with me that your recorded Exam and HW grades are correct, though mistakes are pretty rare. Remind me this week of any special agreements we've made - about missed exams, not grading HW, etc.

You are supposed to know something of polar coordinates and most of Ch 10.1 [parametric equations] from PreCalculus and MAC 2311. We'll review those a bit in class, but you may need extra practice in Chs 10.1-10.2 (this is up to you). Our main goal in Ch 10 is Area, and I am almost obliged to put such a Ch 10.3 problem on the final. I will try to cover this section ASAP, and we may have a little time for review on 8/10.

The Final Exam will be on the last day of class, Thursday Aug 11, in the usual room. It counts 30 points, and cannot be dropped. See my policy page about this, about incompletes, etc. It covers the entire semester, but about 65% of it will focus on HW 6 and beyond, and on Chs 9.4 through 10.3 (omitting Ch 8 of course). Know table 9.9.1, except for the sinh and cosh parts. Emphasize Ch 9.10 (lots of good stuff there) but omit the pendulum example. Be able to graph the various formulas in 10.1 and 10.2 - several methods are OK for this [plotting points, memorization, etc].

Know the proofs of these theorems - 9.4.1 (Div test) , 9.5.1 (comp test), and the polar area formula, Thm.10.3.4. Be able to prove the HS D's and the AHS C's (these should be easy). I may also ask for HW-type proofs (that a series converges or a remainder term goes to zero, for example). Be sure to do the listed HW problems from Chs.9 and 10, and more, even though I won't collect them. Don't skip 10.3 !!

If time permits, I will post more info here before the final, and an updated review page. For now, you can look over my old exams, or see an old review page.

Day	Date	I give you	You give me	Lecture topics	HW
25	M 8/8	graded E3		Using Series Param Eqns	9.10 - 1, 3, 5, 9, 13, 15, 19, 24, 29, 31, 32 10.1 - 1, 3, 23, 33-36, 41, 43, 45, 53, 55
26	T 8/9		All is due....	Polar Coords	10.2 - 6, 7, 9, 11, 13, 17, 25, 27, 47-50
27	W 8/10	Gr Records		Polar Area	10.3 - 7, 29, 31, 33, 35, 39, 42
28	R 8/11	Final Exam

I will submit the semester grades to FIU by 8/17, so you should be able to get them online approx 8/18.

I hope you enjoyed the course and learned a lot ! Please let me know if anything special has affected your progress this term, for better or worse. And please keep in touch. I am always interested to hear how my students fare in their future coursework, etc.