MATH 253a  Accelerated Calculus III
Current Office Hours:
Tuesday 11:302:00 walkin (other times by appointment)
Date:  Assignment(s):  Handouts 
Aug 20  Class: go over syllabus, start vectors.
Homework: Read: 11.111.3 Problems: (not to be turned in; quiz Friday): 
Slides from lecture: 
WebWork:
I would like everyone to try the first assignment, which is called "Demo", before 11:00PM this Friday, August 24 (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. 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. The second assignment, "Vectors1", will open at 08/22/2018 at 05:00pm (so after Wednesday's class), and is not due until Monday, 08/27/2018 at 10:00pm, but for full credit you should have tried most of the problems by midnight Friday, 8/24. VIDEO TUTORIAL (best viewed in fullscreen mode; use controls to pause or single step): (Note: no sound in these videos, sorry. Also, it was created for another class, but the "Demo" assignment is essentially the same) To log in to WebWork, go to https://webwork.math.hawaii.edu/webwork2/Math_253A_Fall_2018_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. This is a FREE FOR YOU online homework system. As discussed in the syllabus and in class, I will be giving some assignments using it. It isn't hard to use, and will even let you check correctness of your answers before submitting them.Website: https://webwork.math.hawaii.edu/webwork2/Math_253A_Fall_2018_Ross/ 

Aug 21  Class: Dot products, applications, Homework: Read 11.4 Problems: 
Slides from lecture: 
Aug 22  Class: Continue dot products, start cross products (?) Discuss HW from 11.12 

Aug 24 
CLASS CANCELLED 

Aug 27  If UH is open:
Projections of vectors Start cross products 

Aug 28  Class: Discuss 11.3 HW Problems: 11.4/7, 15, 17, 21, 23, 27,28, 29, 30abc,31,33 (2731 should go quickly!), 35, 39, 43 

Aug 29  Class: Finish cross products; start lines and planes Quiz on 11.13 (long, as it combines 2 quizzes) 
Lines and Planes 
Aug 31  Class: Continue lines and planes
11.5/3,9, 10, 23,25,26,27,31,35,41,45,59,61,65,67 On all of these problems if the answer is a line then give the equation in all three forms: vector, parametric, *and* Cartesian 

Sep 3  Labor Day  no class  
Sep 4  Class: Finish lines and planes
Start Ch 12(?) Discuss 11.4 HW 

Sep 5  Continue Ch 12
Discuss 11.5 HW No Quiz Today! 
Vector Functions 1 
Sep 7  Quiz on 11.4, 11.5  
Sep 10 
12.1/3, 7,8, 9, 13, 21,23,25,27,28,29b,34 Note: projectile motion will not be on the first exam (but you could look at 12.2/17,18) 

Sep 11 
Examples from 12.1,2 Start 12.3 

Sep 12  Discuss HW from 12.1, 12.2
Continue 12.3 THERE WILL BE A WEBWORK ASSIGNMENT ON 12.13 DUE THE DAY OF THE EXAM (but after the exam) 

Sep 14  Quiz on 12.1,2
12.3/3,5,7,13, 15; look at 18, 19 (which is easier than it looks, and combines ideas we've been doing), and 20 should be easy for you using the answer to 19! 

Sep 17  Finish 12.3, start 12.4  
Sep 18  
Sep 19  Exam review
Solution to 12.3#19,20 (sorry I forgot to post this last night) 

Sep 21  Midterm I
Covers 11.111.5, 12.112.3 You will NOT be allowed: calculator, text (I will NOT be posting solutions!) 

Sep 24 
Finish 12.4; start 12.5 12.4/1,5bc,6ab,7ab,9,11, 23,26; look at 17 (for the graphs in 23, 26 feel free to use a computer) 

Sep 25 
Finish 12.5; start Ch 13 (12.6 will be done outside of regular class with a video on Kepler's laws) 12.5/1,3,5 (see text example 1), 7,11,13,23. (See Figure 12.27 for 713; I only care about the normal and osculating planes, not the rectifying plane) Think about 1719! 

Sep 26  Discuss HW from 12.4
Continue Ch. 13 13.1/1318,21,27,39 (I might add more to these!) Cylinders and Quadric surfaces You should be able to graph cylinders quickly using the fact that they are cylinders (even nonround ones) As for quadric surfaces, I don't expect you to be able to name them, but you should hone your graphing skills to the point where you can graph relatively easy ones and can match equations to their graphs. You should also be able to recognize when an equation is the equation of such a surface. 11.6/ 112; 15, 19, 23, 35 

Sep 28  Discuss HW from 12.5
Quiz on 12.4 

Oct 1  Continue Ch 13  Differentiation of functions of several variables 
Oct 3  Limits and continuity for functions of n variables
13.2/9,13,17,23,29,35,41,45,51,53 Derivatives in R^n (Discuss on Tuesday) 

Oct 5  Quiz on 11.6, 13.1
13.5/7, 13, 19, 21, 25, 29, 35 

Oct 12  Quiz on 13.2,3,5
13.4/3,923 odd,27, 29, 30, 41, 45, 47 
Lecture Notes on Min/Max 
Oct 15  13.7/ 31, 33, 34, 35, 37 (These are covered for the exam!)
13.7/ 3,7,17,27, 29, 39, 41, 45, 47,51, 55; (Not covered on this exam) 

Oct 18  Informal review session, 45, room TBA  
Oct 19  Midterm Exam II
Covers: 12.35, 11.6, 13.16, 13.7 (slightly) You will NOT be allowed: calculator, text (I will NOT be posting solutions!) For 13.7, the problem(s) will be just like one right out of the HW assignment. 

Oct 22  LaGrange multipliers
Taylor series n dimensions 13.8/5,9,13,19,23,29 <= 1constraint LaGrange problems 13.9/5,9,11 
Handout on LaGrange multipliers 
Oct 23  Multiple integrals  Lecture notes on multiple integrals 
Oct 24  14.1/3,7,13,15,23
14.2/3,5,11,15, 19,32,35,37,41,51. 54 is pretty interesting. 

Oct 26  There will be no quiz today.
14.3/3,7,11,13,17 

Polar Coordinates Review
If you haven't seen polar coordinates, you might want to look at these videos before we get to 14.4 (soon!) 1. What are Polar Coordinates? 2. Polar graphs, and Area in Polar Coordinates Some exercises to try: 10.1/121 odd multiples of 3; 23,27,29,33,40,45 (these shouldn't take you more than a few minutes each I will not be quizzing or examining you on these; you are supposed to know how to do these already before taking Math 253a! 

14.5/9, 15, 21, 23, 29, 35, 41,47 Do #13 without actually integrating  
Nov 2  Quiz on 14.1,2,3,5
14.4/9, 13, 22, 27 

Nov 5  Finish 14.7; start 14.8 (?)
14.7/3, 7, 11, 17, 21, 37 

Nov 6  No class  election day  go vote!  
Nov 7  Finish 14.8
By request: solution (setup) to number 33 14.8/3,7,9,11,13,20,21 
Some slides from today's class:

Nov 9  Section 15.1 (line integrals) Quiz on 14.4,6 SOLUTION TO QUIZ 7 (last week's) You should be able to do the following even just from lecture today: 15.1/11,13,15,21 (I will add to these) 

Nov 13  15.1/25, 30 15.2/3, 5, 7, 9, 13 The material through here, including problems like these, will be covered on Midterm III 

Nov 14  
Nov 16  
Nov 19  Midterm Exam III
Covers: 13.713.9, 14.114.8, 15.12 See an approximate points breakdown You will NOT be allowed: calculator, text I will provide a table of integrals. 

Nov 20  Line integrals of gradients
15.3/3, 5, 9, 13, 19, 27, 32, 33 

Nov 21  Start Green's Theorem  Slides on Green's Theorem, div, grad, curl 
Nov 26  Finish Green's Theorem
15.4/5, 7, 11, 23, 26, 27, 33 

Nov 27  Start Surface Integrals  Surface integral slides 
Grade estimation webpage.  
Nov 30  Finish surface integrals
15.5/17, 21, 37 

Kepler's Laws.
Now that you've been using polar coordinates again, you are ready for this derivation, which is also a nice review of the material from the end of Chapter 12. You might need to review the equations of conic sections (especially the ellipse) in polar form, see Section 10.5 in the text. You should watch this short (~15 minutes) video... This is due by the day of the final exam. You may watch it and work on it with a classmate, but turn in your own answers. (If you have trouble with the video, try this version.) 

Dec 10  I will have some extended office hours, probably 11:00  2:00 (I will be giving an exam to my other class 2:154:15). If you can't make these and want to see me after 4:15, let me know ASAP.  
Dec 12  Final Exam, 122, Keller 404.
Practice Final Exam 1 