END OF SEMESTER STUFF:

"Pre"quiz on Calc I (doesn't count!)

HW: Review Chapter 5 (FTC and Integration)
5.4/11, 15, 23, 27b, 33
5.5/7, 21, 23, 42

Due: Aug 24 (don't turn in!)
Quiz on Aug 29 problems taken from this homework

7.1/11b,13,17,22,25, 31, 38, 45
7.2/3, 7, 9, 23, 30, 39, 45,57, 61, 65, 70, 71(tricky!),75

Quiz on 7.1-2 on Aug 31

Class: 7.3

7.3/5, 9, 15, 17, 23, 25, 29, 35, 41, 47, 55, 57, 63, 73, 87, 90, 99, 105, 113, 115, 121

Quiz today on 7.1-2, possibly 7.3

7.4/21, 29, 33, 39 <- Quiz on Sep. 7 will cover this

7.4/43, 47, 51, 61, 71, 73, 79, 89, 97, 99, 104, 107 <- Quiz on Sep. 14 will cover this
(You might also want to do 1-19 odd just as review of inverse trig)

Solution to Quiz 2

Quiz on 7.3, 1st part of 7.4

Start 7.6

7.6/3,5,17,23,25,27,33,35,41,45,53,66b (quiz on these September 14)

8.1/1,5,9,11,13,21,27,39,42,45

Continue Ch. 8

8.2/1,8,9,13,17,23,29,33,37

Handout: Integral of cos^12(x) the "easy" way (using the reduction rule)

Handout: Integral of cos^12(x) the "hard" way (using the reduction rule)

8.3 (Trig substitution)

8.3/3,5,11,13,15, 22, 23, 31

If time: hyperbolic trig (optional/extra credit section)

Covers through 8.3

(OK, exam will only cover through 8.2)

SOME REVIEW MATERIAL

Also, TRY THESE TRIG INTEGRALS (the circled ones)

Curve:

A128, B90, C75, D55

I would like everyone to try the first assignment, which is called "Demo", before 4:00PM next Tuesday Oct 3 (but preferably before class so you can ask questions in class if you have problems). These are some simple problems you should all be able to do, but will give you practice working the interface.

VIDEO TUTORIAL (best viewed in fullscreen mode; use controls to pause or single step):

• Flash (best if your browser supports it)
• Mpeg video (better for phones)

(Note: no sound in these videos, sorry)

To log in to WebWork, go to

https://webwork.math.hawaii.edu/webwork2/Math_242_Fall_2017_Ross/

Your login should be either your UH email address, or the part of that address before the @ sign. For example, if your UH email is myname@hawaii.edu, your login should be myname

Your initial password is your 8 digit UH ID number.

Your first attempt at WebWork should be made before 4pm today!

8.4/7, 11, 15, 25, 33, 39, 45

Miscellaneous substitutions and tables of integration

8.5/3,9,15,25,29,31,47,48 <---these are "table" problems. You can use the table to the right to get some practice with it ---->

Improper integrals (8.7)

8.7/37, 41, 55, 57,74

Finish improper integrals

Sequences

9.1/3, 5, 7, 9, 17,23,27 (for these sequences [3-27] try to determine whether they are increasing/decreasing, bounded, etc.) 33,41,45,59, 65, 79, 85, 98

Harder but interesting:
9.1/,89,109

Video on sequences.

Another version, might be more phone-friendly.

(video slightly corrected 10/15)

Watch this BEFORE Tuesday, Oct 17. Don't forget to make it full screen. It moves very quickly, so look for the pause control in your viewer.

Handout on sequences

Start series (9.2)

9.2/3,5,7,11

You might want to review 5.2 (Sigma notation), and try 5.2/10-18

Handout on series

Video: intro to infinite series.

Another version, might be more phone-friendly.

Finish 9.2; start 9.3

9.2/13,17,19,21,23,24,31,41,43,51,57,59,63,64,69,71

Integral Test

Comparison tests <----new

Root and Ratio test

Start Comparison tests (9.4)

Quiz on 9.1, 1st block of 9.2 problems

9.3/1-19 odd ,23; 35; 42. Look at 41. (Quiz on these Nov. 2)

Start 9.5 (root/ratio tests)

Finish 9.4

9.4/1-21odd, 27,33,39; look at 40

9.5/3,5,7,9,11, 14, 16,19,23,25, 29,32,39,41,43 (last 3 are harder but interesting!), 47 (looks hard, really isn't)

(I will not be quizzing you on 9.4 - 9.5, but these sections will be on the exam.)

9.6 (Alternating series)

Quiz on 9.2 (second block of problem) and 9.3

I will not be quizzing you on 9.4,9.5, but they are covered on the exam, and I will have a webwork assignment on these sections due on November 10 (so it can help you for review, and you will have motivation to at least try it by Nov 9)

Will cover 8.3-9.5

Some Review Information

(Might not work on all browsers.)

Extra Credit Homework: the Weierstrass "half-angle" substitution

(Due November 28 - after TG break -but it might be easier for you to do it now, especially as there will probably be other videos to watch over the break.)

First, watch THIS VIDEO on the half-angle substitution. (It is only 5 minutes!)

Next, do THIS PROBLEM SET using the substitution.

You are encouraged to both watch the video and do the problems with classmates, but please do not just copy their answers!

9.6/5,7,13,15,21,29,33,36, 41,47,48, 51

9.7/7,9,11,19,21,27, also 6 and 18 <--------------covered on quiz next week

9.7/5,13,25,35,39,45 <--------Not covered on this quiz

As promised, the example from class

9.8/7,11,15,17,21,25, 26,29

Quiz on 9.6, 9.7

9.9/3,6,7,9, 13, 19, 21, 22, 25, 31, 37 (19-25 are practice in error estimates; 31 is an example of one of my favorite applications of series); look at 45

(If time: start numerical integration, 8.6: Trapezoid rule and Simpson's rule)

Video (optional):

Derivation of the Taylor error estimates.

(While this is optional, anyone thinking of majoring in math or physics or EE should definitely watch it, and for anyone else, it is a nice application of IBP.)

1. Watch THIS VIDEO on the hyperbolic fiunctions, Section 7.7

(Here it is in a different format, if the other one didn't work.)

2. Next, do the WEBWORK assignment called HyperbolicFunctions.

You are encouraged to both watch the video and do the problems with classmates, but note that WebWork randomizes problems, so you can't just copy your friend's answers!

Due: Last day of class (Dec. 7)Day after the final exam: 10AM, Dec 14

So that I can focus class time on examples, I am uploading some videos that supplant my lectures. YOU SHOULD WATCH THESE VIDEOS BEFORE WE GET TO THE DISCUSSION IN CLASS. (In fact, you might just want to watch all the videos over TG break.)

Viewing these videos is not optional, and I might quiz you on them at the beginning of the corresponding class.

Exponential Growth (8.5) and Separation of variables

Start: General ODEs (16.1)

Problems:

7.5/21, 23, 25 (these are on exponential growth/decay)

7.5/1c, 3, 7, 9-17 odd (these are general ODE problems)

16.1/1-5

You should read 7.5, also at least skim 16.1 (up to around Page 5)

1. Introduction to ODEs

(Here's a more cellphone-friendly version)

This video introduces the terms: Ordinary differential equation, Initial value problem, Initial condition, order of a differential equation, particular solution, general solution

2. Separation of Variables

Don't forget to go to full screen video when viewing these.

You should watch these before class on Nov 28!

Read 16.2 (see worked examples, through top of page 13)

Problems:

16.2/All of 1-19 odd are appropriate, but I would start with 1,9,17,19

Problems on Trap rule/Simpson's rule:

8.6/Iab, IIab for 3 and 7; also do 19 <----added Nov 30:

1st order Linear ODEs

Quiz on 9.9 (last "real" quiz!)

Problems:

17.1/ All of 1-60 are appropriate (and shouldn't take more than a minute or two each!), but start with 1, 5, 13, 25, 49<----mainly done on Nov. 30

Bring questions on HW from 7.5, 8.6, 16.1, 2<----note

Extra office hours: Me: Tuesday 1-4. Jamal: Monday afternoon until around 5

Here is the Common Final from Fall, 2015

Here is the Common Final from Spring, 2016

Here is the Common Final from Fall, 2016
(Grading rubrics from that exam)

Here is the Common Final from Spring, 2017
(Answers and some hints)

GRADE PREDICTOR.
This gives my best guess(es) as to what your grade would be if you get a solid A or a solid B on the final exam.

(NOTE: They do NOT include the last quiz, the WebWork work, or any extra credit, and do not exclude quizzes excused for illness etc. Also, while the predictor reports +/- grades, the actual class grades will not be +/-)