MATH 212- Multivariable Calculus (2011 Summer General Session)
The syllabus for this course can be found here. Office hours are now back to Tuesday 3pm-4pm, Thursday 3pm-4pm.
Exams
Answers to the first midterm are available here.
Homework
- Homework 1 (Due 8 June):
Ch 1.1 Problems 1-7,9,13-16,19-20.
- Homework 2 (Due 10 June) (UPDATED):
Ch 1.1 Problems 11-12.
Ch 1.2 Problems 1-13.
- Homework 3 (Due 13 June)
Ch 1.2 Problems 14-15,19-21
Ch 1.3 Problems 1, 2(a,b), 3-4,
5-6, 9-11,13-14 - Homework 4 (Due 15 June)
Ch 1.3 Problems 5-7, 15, 16b, 17-19, 24-25, 33-34.
Ch 1.4 Problems 1,5,8-9,12.
- Homework 5 (Due 17 June)
Ch 2.1 Problems 1(a,b),2(a,b),4,7,11,17.
Ch 2.2 Problems 2,5-6,8-9.
- Homework 6 (Due 20 June)
Ch 2.3 Problems 1-2,3(a,b),5,6b,7b,8b,9,12,13c,15-16,18.
- Homework 7 (Due 22 June)
Ch 2.4 Problems 1-3,5,7,10,12,14-15,17-18
Ch 2.5 Problems 3(b,c),5(a,b),6(a,b),7-8.
- Homework 8 (Due 24 June)
Ch 2.6 Problems 2(b,c),3(a,b),4(b,c),5c,6(b,c),7(b,c),9,14a,16,20,22
Ch 3.1 Problems 1-2,7b,8-9,13,19,24.
- Homework 9 (Due 27 June)
Ch 3.3 Problems 1-5,10-13,20,22,
Homework 10 (Due 29 June)25,27,29-30,34.Ch 3.3 Problems 24-25 (You may use Lagrange multipliers)
Ch 3.4 Problems 1,3-5,11,13.
- Homework 11 (Due 1 July)
Ch 5.2 Problems 1(a,b,d), 2(b,c),3-4,7
Ch 5.3 Problems 1(a,b,c), 2(a,b,d,e), 6-7.
- Homework 12 (Due 6 July)
Ch 5.4 Problems 1-2 (sketch the region and set up the integral for all eight problems, but only evaluate 1b,1c,2a) 5-6,13
Ch 5.5 Problems 3,6-8,10,12,17,24,26 ( DO NOT evaluate the integral in 24,26)
- Homework 13 (Due 8 July)
Ch 6.1 Problems 1-2,4,6-7.
Ch 6.2 Problems 1,9,13,14,17-19,21,23.
- Homework 14 (Due 11 July)
Ch 4.2 Problems 2-3.
Ch 4.3 Problems 1,4,10,13-14.
Ch 4.4 Problems 1-2,7,9,13-14,18,22.
- Homework 15 (Due 13 July)
Ch 7.1 Problems 2,3a,4a,13.
Ch 7.2 Problems 1a,2(c,d),4,9,14-16.
- Homework 16 (Due 15 July)
Ch 7.3 Problems 1-2,4,5,7 (don't bother trying to identify the surface in 5 and 7),10.
Ch 7.4 Problems 1,3,7(Show that the volume is is finite but the surface area is infinite),11,21,22(b,d).
- Homework 17 (Due 18 July)
Ch 7.5 Problems 2-3,7,10.
Ch 7.6 Problems 1-2,9-10,15.
- Homework 18 (Due 22 July)
Ch 8.1 Problems 1,3(b,c),5,10,11(the normal component is the dot product of the vector field with the outward unit normal),13,15.
- Homework 19 (Due 25 July)
Ch 8.2 Problems 1-2,11-12.
Ch 8.3 Problems 1-3,7,13(b,c),14a.
- Homework 20 (Due 27 July)
Ch 8.4 Problems 1-2,5a,7,10.
Ch 3.2 Problems 1,3,4.
- Homework 19 (Due 25 July)
Ch 8.2 Problems 1-2,11-12.
Ch 8.3 Problems 1-3,7,13(b,c),14a.
- Homework 20 (Due 27 July)
Ch 8.4 Problems 1-2,5a,7,10 (Use Gauss' Theorem for all of these!).
Ch 3.2 Problems 1,3,4.