Stewart homework hints

Assignment for Wednesday:

• Read 6.1
• The material through page 403 should be review!
• Problems: (not to be turned in) 17, 19, 25, 27, 37, 44, 45, look at 48, 50
• Quiz on these September 4
  
• NOTE: When I say to "look at" problems, these are harder or more theoretical problems that are worth thinking about, but I will not quiz you on them!

Lecture outline on inverse functions

Assignment for Friday:

• Read 6.2*, 6.3*
• Problems: 6.2*/3, 7, 9, 19, 25, 24, 27, 32, 37, 41, 43,50, 51, 65, 67, 68, 71,73, 77, 81; look at 89
• Quiz on these September 4
  

Lecture outline on logs, exponentials

I would like everyone to try the first assignment, which is called "Orientation"as soon as possible. These are some simple problems you should all be able to do, together with instructions on using the interface. I am not counting your score on this one, but I want to see that you've at least tried a selection of the problems.

I will put up a 'real' assignment in the next couple of days.

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

(Note: no sound in the video. This is from a different class, but the webwork assignment and instructions are the same.)

To log in to WebWork, go to

https://webwork.oer.hawaii.edu/webwork2/Math_242_Fall_2024_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.

Assignment for Wednesday:

• Read 6.4*
• Problems: (not to be turned in)
  6.2*/61-64 (these use "logarithmic differentiation", which I have not covered yet)
  6.3*/ 7, 21-51 odd multiples of 3; 41,53,55,67
• There will be a quiz on these problems on September 11

Start (finish?) general exponentials and logarithms (6.4*)

Quiz on homework from 6.1, 6.2* (only the first block of problems from 6.2*, not the logarithmic differentiation problems, which will be on a later quiz)

Assignment:

• Start looking at 6.6 (we're skipping 6.5 until later) (note no star!)
• Problems: (not to be turned in)
  6.4*/4, 9, 17,21-23, 31, 39, 41, 46, 47
  
• There will be a quiz on these problems on September 11

Assignment:

• Read 6.6
• Problems: (not to be turned in)
  6.6/ 11-13, 19, 21, 22, 23, 35, 38, 47-49 (might be time-consuming), 61, 63, 67, 69, 73; look at 77
  
• There will not be a quiz on these problems.
• Discuss: Friday, Sep 13

Assignment:

• Read 6.8
• Problems: (not to be turned in)
  6.8/ 11-57 odd multiples of 3; 25, 31, 43, 55, 68, 99; look at 73, 93 (easy, actually), 100
  
• There will not be a quiz on these problems.
• Discuss: Friday, Sep 13

Quiz on 6.2*, 6.3*, 6.4*

Assignment:

• Read 7.1 (Integration by parts)
  Discuss HW from 6.6, 6.8

Some exam review; bring questions (both from 6.6/6.8, also the suggested review problems)

Discuss HW from 7.1.

Some information on the exam, and suggested review problems

Finish 7.1; start7.2

• Problems: (not to be turned in)
  7.1/ 3,9,10,15,21,33,41, 51, 53 (seriously, do these two!); look at 47-49, 70 (easier than it looks!)
• Quiz on these problems Sep 25

• Problems: (not to be turned in)
  7.2/ 3, 9, 12, 13, 21, 22, 41, 43, 45, 47, 54
  

• Quiz on these problems Oct 2

• The easy way (reduction formula)
  
• The hard way (trig identities)

Quiz on 7.1 (only!)

Problems: 7.3/5, 7, 13, 23, 25, 27

Quiz on these problems Oct 2

Answer questions on 7.2, 7.3

Slides on Partial Fractions Decomposition

The second example/slide on PFD

• Problems: 7.4/1,3,5, 9, 15, 17, 22, 23, 33, 47, look at 71-73
  
• Quiz on these problems Oct. 9

Quiz on 7.2, 7.3

I will project this table of integrals

• 7.4/41, 45
• 7.5/23, 25, 27, 36, 37, 42, 43, 45, 56, 57, 48
• 7.6/7, 12, 13, 16, 21, 25, 35
• Quiz on these problems Oct. 16

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

(Due November 1.)

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

Next, do THIS PROBLEM SET using the substitution. I will create a place on Laulima for you to upload it.

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

Problems:

• 7.8/1, 5, 11, 17, 21, 23, 58; try some of the other odd problems 5-39 if you need more practice
• Quiz on these problems October 16

Quiz on the first set of 7.4 problems (Assigned Oct 2)

It is very short (only 5 minutes!) but contains quite a lot of material. Try to watch it by Monday, but I will certainly expect you to have watched it by Wednesday.

Problems: (not to be turned in)

• 7.7/2, 15, 21 (only for trapezoid and Simpson), 46, 49
• NO Quiz on these problems

Quiz on 7.4 (second set), 7.5, 7.6, 7.8

Slides on series (from class lecture)

Watch by Friday!

• Will cover 7.1-7.8
  
• Same rules as on last exam: 1 side of page of 8x11 notes, no calculator, no phones.
  
• The exam will almost entirely consist of integrals, though you can expect an approximate integration problem and an improper integral where perhaps all you need to do is show convergence or divergence.
  
• I will give you the same formulas and table of integrals that I gave you for the quiz.

Some extra integration problems, for studying.

Answers for these problems.

Problems: (not to be turned in)

• 11.1/5,7,11,25, 29, 35, 37, 45, 52, 64, 69, 71, 73, 76, 79
• Quiz on these problems Wednesday, October 30

There will also be a WebWork assignment on these

Problems: (not to be turned in)

• 11.2/5, 16, 17-27odd, 31, 34, 41, 45-47, 53, 55, 59, 67, 75, 80, 81 (important!),82 (easier than it looks!),89
• Quiz on these problems Wednesday, November 6

Class: Finish 11.2. Start Finish integral test (11.3). Start comparison test(s) (11.4)

Problems: (not to be turned in)

• 11.3/3,7,8,12, 15, 16, 19, 27,31, 39, 40
• Quiz on these problems Wednesday, November 6

Quiz today on 11.1

Extra Credit Homework: the Hyperbolic functions

(Due last day of class.)

First, watch THIS VIDEO on the hyperbolic functions. (It is only 10 minutes!)

(Here are the slides used to make that video.)

Next, do the WebWork assignment called HyperbolicTrig (COMING SOON)

You are encouraged to both watch the video and do the problems with classmates, but note that WebWork randomizes questions, so your classmate might have different problems than you do.

Problems: (not to be turned in)

• 11.4/1,2, 3, 4, 7, 11, 12, 17, 21, 24, 27, 33, 36, 37, 46; look at 40b-41b (we'll outline a in class)
• Quiz on these problems Wednesday, November 13

(There is no recitation section tomorrow, so let's discuss HW today!)

Problems: (not to be turned in)

• 11.5/2, 3, 11, 12, 19, 25, 27, 31, 35
• Quiz on these problems Wednesday, November 13
• 11.6/2-6, 7, 11, 13, 21, 25, 29, 32, 33, 36, 39, 43
• Quiz on these problems Wednesday, November 13

Problems: (not to be turned in)

• 11.7/7, 11, 13, 18, 21, 23, 25, 30, 31, 38
• There will NOT be a quiz on these, as we have an exam coming up. Think of these as review problems for the exam.

Quiz on 11.4-6

(Thee are not complete, for example, they don't even include the definition of "power series", or of IOC/ROC)

(These do include a section at the end on complex numbers. I will not discuss this before the exam.)

An Interval of Convergence example

Problems: (not to be turned in)

• 11.8/9,11,16, 19, 21, 31, 33, 32c, 37, 41
• 11.9/5, 6, 7, 11, 13, 15, 25, 28, 29, 33, 40
• You will not be quizzed on these, but 11.8 and 11.9 will be on the midterm.

Problems: (not to be turned in)

• 11.10/3, 5, 7, 11, 13, 19, 22. 35-39, 57, 61, 63, 65
• You will not be quizzed on these, but 11.10 (up to, but not including remainder theorems) will be on the midterm

Covers 11.1-11.10 (excluding Taylor remainders)

More/detailed information on the exam

Series tips and traps

Problems:

• 11.10 (Taylor remainder problems)/50, 59
• 11.10 (Binomial series and Miscllaneous Taylor series problems)/51,52,53, 81, 82
• 11.11./15,17,21
• Quiz on December 4 (last quiz!)

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

Problems:

• 9.1/3, 5, 9, 11, 13
• 9.2/1, 3-7, 9 (these should be really quick!)
• Quiz on December 4 (last quiz!)

1. Introduction to ODEs (12 minutes)

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 (23 minutes)

You should watch these videos before class on Monday! (At least the first one!)

Sorry about the sound on these, I just used my terrible laptop microphone for them.

Class: ODEs: Separation of variables. Watch the first 2 videos to prep for class.

Problems:

• 9.3/3, 7, 14, 29; 21-22 are interesting
• Quiz on Wednesday will cover 9.3

Problems: (not to be turned in)

• 6.5/3,9,10,14
• 9.4/The first 2 pages of this go with 6.5. I won't be giving you any HW on logistic growth models, but it is interesting!

ODE/exponential growth slides I'll use in class today

Video:

First order Linear ODEs (16 minutes)

Watch before Friday

Problems: (not to be turned in)

• 9.5/7, 11, 17, 23

I'll do some of the problems from the following, which is a final I gave in 242 in Spring 2014

MATH JAM

Exam week office hours

Ross (PSB 319):
Monday, 11:30-2:00

FINAL EXAM

Here is the formula sheet that will be in the exam.