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!
Office Hours:
Tutoring:
Date:  Assignment(s):  Handouts 
January 11  Go over syllabus, etc.  
January 13 
Start Vectors. Homework: Reading (for Friday): 11.1,11.2 Problems: (not to be turned in): 

January 15  Class: Vectors continued. Dot products.
Homework: Read 11.3 Problems: 

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.)  
January 20 
Class: Finish dot products. Start cross products Inclass discussions of problems from 11.3 More 11.3 problems: 

January 22  Solution to 11.2#49 (by request) <<=============NEW
Quiz on 11.13 
Solution to Quiz 1 
January 25  Cross products (11.4)
11.4/3,5, 7, 11, 23,27,28, 30abc,31,33 (2731 should go quickly) (Quiz on the above problems on Friday) 11.4/15, 17, 21,29,35,39, 41 

January 27  Finish 11.4
Start 11.5 
Lines and Planes 
January 29  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 
Solution to Quiz 2 
February 1  Finish 11.5  
February 3  Go over problems from 11.5
Start Ch 12? 

February 3 
REVIEW SESSION: <===============NEW!4:305:30 (or later), Keller 401 

February 5  Midterm Exam I Coverage: Chapters 11.15 25% 11.1,2 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 Here are some solutions to questions asked in class. 
Notes on Vector functions 1 
February 10  Finish 12.2
Start 12.3 

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! Discuss HW 

February 17  Quiz on 12.1,2 (not trajectories) (Warning: beginning of the period! Don't be late!)
Start 12.4 

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 713; I only care about the normal and osculating planes, not the rectifying plane) Think about 1719! 
Some solutions: 
February 24  Discuss HW on 12.35
Start Chapter 10(!) 

February 26  Quiz on 12.35
Continue Ch. 10 10.1/121 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, 19,2124, 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
10.3 (cont) 10.3/5,9,11 

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, 12.112.5,10.1,10.2,10.3 (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: p6501/43,45,49,51,52,55,59 p6901/3,5,6,8,17,21,23. 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 10.5/4552, 5764, 7778 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
(Password: Math243) 
March 2125  Spring Break
EXTRA CREDIT!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 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 More general graphing: 13.1/1318,21,27,39 (I might add more to these!) Quiz on this Monday, April 4 

March 30 
Limits and continuity for functions of n variables 13.2/9,13,17,23,29,35,41,45,51,53 Quiz on this Monday, April 4 Start Derivatives in R^n 13.3/9,15,17,21,27,37,49,51,52,57,69,71,77 
Lecture notes on derivatives 
April 1  Discuss HW for 11.6, 13.1, 13.2
Continue 13.3 

April 4  Continue 13.3  Solutions to Quiz 7
(on 11.6, 13.1, 13.2) 
April 6  Finish 13.3
13.3/9,15,17,21,27,37,49,51,52,57,69,71,77 Start 13.5 

April 8  Finish 13.5 Start 13.4 13.4/3,923 odd,27, 29, 30, 41, 45, 47 

April 11  Short quiz on 13.3
Finish 13.4 
Quiz 8 answers 
April 13  
April 14  Review Session (optional)
3:00 Kuy 310 

April 15  Midterm 3 (Not April 16, oops)
Covers: 10.4, 11.6, 13.13, 13.5 Probable curve: A92 
EXAM SOLUTION
(Password is "Math243") 
April 18  Finish 13.4,6
13.4/3,923 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 
April 25  
April 27 
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 13.7Start 13.8 13.8/5,9,13,19,23,29 <= 1constraint LaGrange problems (Sorry, I accidentally had the 13.8 problems posted above the 13.7 problems) 
MinMax Examples 
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)
Keller 301 2:303:30 bring questions to ask 

May 9 (Monday)  Final Exam, 122
Usual conditions (no calculator, you will be allowed Some practice final exams: COVERAGE: 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! 

GRADE ESTIMATOR!!! 