MATH 243 - Calculus III
I am still working on the curve; check back later. The total possible was 220+10 extra credit. Those of you that scored over 200, great job, especially the one who scored over 220!
|January 11||Go over syllabus, etc.|
Reading (for Friday): 11.1,11.2
Problems: (not to be turned in):
|January 15||Class: Vectors continued. Dot products.
|January 18||No Class (MLK birthday. If you are around, do read the essay posted on my door, written by King when he was still a student.)|
Class: Finish dot products. Start cross products
In-class discussions of problems from 11.3
More 11.3 problems:
|January 22||Solution to 11.2#49 (by request) <<=============NEW
Quiz on 11.1-3
|January 25||Cross products (11.4)
11.4/3,5, 7, 11, 23,27,28, 30abc,31,33 (27-31 should go quickly)
(Quiz on the above problems on Friday)
11.4/15, 17, 21,29,35,39, 41
|January 27||Finish 11.4
|Lines and Planes|
Quiz on 11.4 (first set of problems)
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
|February 1||Finish 11.5|
|February 3||Go over problems from 11.5
Start Ch 12?
REVIEW SESSION: <===============NEW!
4:30-5:30 (or later), Keller 401
|February 5||Midterm Exam I
Coverage: Chapters 11.1-5
Anything covered on the HW or in class is fair game. I cannot advise you too strongly to make sure you (a) understand the difference between a vector and a scalar, and which operations are permissible on which, (b) are quick and accurate at taking norms, dot products, and cross products.
You can bring a crib sheet consisting of one side of one sheet of paper with any notes/formulas/whatever you want on it.
Calculators are NOT allowed.
Quiet food and drinks are OK
|Solution to Exam 1. Sorry, I had problems with the audio, so no audio.|
|February 8||Start Chapter 12
12.1/3, 7,8, 9, 13, 21,23,25,27,28,29b,30
12.2/2, 3, 5,9,17, 18, 27ab,29
Quiz Wednesday, Feb 17 on 12.1, 2
|Notes on Vector functions 1|
|February 10||Finish 12.2
|February 12||Finish 12.3
12.3/3,5,7,13; 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!
|February 17||Quiz on 12.1,2 (not trajectories) (Warning: beginning of the period! Don't be late!)
|February 19||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)
|February 22||Finish 12.5
12.5/1,3,5 (see text example 1), 7,11,13,23. (See Figure 12.27 for 7-13; I only care about the normal and osculating planes, not the rectifying plane) Think about 17-19!
|February 24||Discuss HW on 12.3-5
Start Chapter 10(!)
|February 26||Quiz on 12.3-5
Continue Ch. 10
10.1/1-21 odd multiples of 3; 23,27,29,33,40,45 (these shouldn't take you more than a few minutes each
NEW (feb 27)
Lecture notes 1 on Polar Coordinates (includes notes for Feb 26 lecture)
|February 29||10.2/2, 27, , 7, 11, 19,21-24, 25, 32, 34cd
You should be able to do all of these without a computer, but feel free to use a computer to check your answers!
|March 4||Discuss 10.1, 10.2 HW
|March 7||Finish 10.3; start 10.4
10.3/17, 23, 29
|March 9||Exam Review
HW questions on 10.3 (first part - areas)
|Solutions to Quiz 4|
|March 11||Midterm Exam II
Covers: 11.5, 12.1-12.5,10.1,10.2,10.3 (not arclengths for 10.3)
As usual: no calculators, you may use one side of an 8x11 piece of paper for notes. If any difficult integrals appear on the exam I will provide a table of integrals.
The following "practice exercises" from the text might also be helpful:
p690-1/3,5,6,8,17,21,23. For 23, also find the equation of the osculating plane
|by request: 2 solutions from the practice exam (<<<==NEW)|
|March 14||Finish Polar Coordinates
10.5/5, 9, 13, 29, 37, 39
10.5/45-52, 57-64, 77-78 are all good practice in polar<->Cartesian conversion, but are not really about conic sections. These might be good practice for the Final Exam.
|March 16||Start Functions of several variables (Ch. 13)|
|Mrch 18||Continue Ch 13
Return Midterm Exam II.
Extra Credit Diagnostic Quiz: I'm curious how much you remember from Calc I and II, so I want to gove you a Quiz On Things You Should Already Know. Just taking the quiz and getting your name right will be worth 100%, you will not be graded on how well you actually do on it.
|Midterm 2 SOLUTIONS
|March 21-25||Spring Break
Watch this video on Kepler's Laws:
While you watch it, answer the problems on this sheet:
Turn in the completed sheet (hardcopy please!) by the last day of the semester
|Solution to Extra Credit Quiz 6|
|March 28||Graphing surfaces in R^3
Cylinders and Quadric surfaces
You should be able to graph cylinders quickly using the fact that they are cylinders (even non-round 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/ 1-12; 15, 19, 23, 35
More general graphing:
13.1/13-18,21,27,39 (I might add more to these!)
Quiz on this Monday, April 4
Limits and continuity for functions of n variables
Quiz on this Monday, April 4
Start Derivatives in R^n
|Lecture notes on derivatives|
|April 1||Discuss HW for 11.6, 13.1, 13.2
|April 4||Continue 13.3||Solutions to Quiz 7
(on 11.6, 13.1, 13.2)
|April 6||Finish 13.3
|April 8||Finish 13.5
13.4/3,9-23 odd,27, 29, 30, 41, 45, 47
|April 11||Short quiz on 13.3
|Quiz 8 answers|
|April 14||Review Session (optional)
3:00 Kuy 310
|April 15||Midterm 3 (Not April 16, oops)
Covers: 10.4, 11.6, 13.1-3, 13.5
(Password is "Math243")
|April 18||Finish 13.4,6
13.4/3,9-23 odd,27, 29, 30, 41, 45, 47
Quiz Friday on these
|Some 13.6 solutions by request|
|April 20||Start 13.7|
|April 22||Continue 13.7
Quiz on 13.4,6
|Quiz 9 solution|
13.7/3,7,17,27, 29; 31, 35, 37, 39, 41, 45, 47,51, 55
Note: there are no word problems here! I am going to try to find some decent word problems...Finish 13.7
13.8/5,9,13,19,23,29 <= 1-constraint LaGrange problems
(Sorry, I accidentally had the 13.8 problems posted above the 13.7 problems)
|April 29||Finish 13.8||Lecture notes on La Grange Multipliers|
|May 4||Some answers to homework problems from 13.8 as requested|
|May 6||Review Session (Optional)
bring questions to ask
|May 9 (Monday)||Final Exam, 12-2
Usual conditions (no calculator, you will be allowed
Some practice final exams:
Chapter 10, 11, 12: approx 60%
Chapter 13: approx 40% (yes, I know this is disproportionate!)
Announcement on the Extra Credit on Kepler's Laws:
I've had several students ask if they can hand that extra credit in Mondy, at the exam. The answer is yes, I'm happy to extend the deadline until then, but: it is not a huge amount of extra credit, your time might be better spent on studying!
Check here to check your entered scores for mistakes and to estimate your grade so far (crude estimate based only on the exams, sorry, final grades will include quizzes and extra credit and final exam and will drop one low score, see syllabus)