Place: Thomson 119
Instructor: Brendan Pawlowski
Office: Padelford C-109
Office hours: Wednesday 11-12, 3-4
Text: Advanced Calculus, Taylor and Mann, 3rd edition
Email: [...]@math.washington.edu, where [...] = salmiak
Announcements
- The syllabus
- Homework 1: 5.1: 1,4,6; 5.2: 4; 5.3: 1, 3, 7. Due Friday, June 29.
- Homework 2: 6.1: 4 (compute these implicitly); 6.2: 2,5; 6.3: 5, 7; 6.8: 6, 20. Due Friday, July 6.
- Homework 3: 6.4: 1, 5, 6; 6.5: 2, 9; 6.6: 6, 10. Due Friday, July 13.
- The midterm will be Friday, July 27.
- Homework 4: 1.2: 3, 6ad (hint: the mean value theorem says f(x) = f(a) + (x-a) f'(c) for some c between x and a, so by maximizing or minimizing f' on (x,a) or (a,x) you get an inequality for f); 7.4: 1a, 6; 7.5: 1, 4; 7.1: 3 (I'm not sure why the exercise asks to show that |f_x(x,y)| <= 2|x| + 1, it doesn't seem necessary for the rest of the problem). Due Friday, July 20.
- I've posted an extra credit problem.
- Homework 5: 8.2: 2, 3, 9; 8.3: 1, 5. Due Friday, July 27.
- The midterm will (potentially) cover everything we've discussed so far: chapters 5-8, except those sections we skipped (6.51-6.53, 6.9, 7.6). Sample midterms: one, two, three (but note that these aren't from me). Here are solutions to the third one.
- Midterm solutions
- Homework 6: 9.2: 1, 3, 6, 8; 9.5: 1ab, 5. For 9.5, 1ab, recall that cosh(x) = (exp(x) + exp(-x))/2 and sinh(x) = (exp(x) - exp(-x))/2; the identity cosh(x)^2 - sinh(x)^2 = 1 may be useful. Due Friday, August 10.
- Solutions to extra credit.
- Homework 7: 15.32: 1, 3, 5, 6, 7, 9, 12. Due never.
- Final exam on Friday, August 17. It will be cumulative, but somewhat biased towards the material after the midterm (though the midterm was relatively late, so there was lots of material before it that you shouldn't forget about!). To be explicit, the final will cover all material up to the midterm (see above for exactly what that is), together with Chapter 9 and 15.32 on change of variables in integration.
- Sample final, and solutions. Note: Problems 3, 4, 5 on transformations are somewhat different from the sorts of problems we've done, so you shouldn't necessarily expect to see such problems on the final, or to be able to do these problems quickly. Nevertheless they're still entirely relevant and you should be able to do them, and they're good practice for working with transformations. You can safely ignore Problem 6.
- Solutions to final exam.