Math 53 - Multivariable Calculus - Summer 2007


Instructor and Office Hours
Instructor: Trevor Potter
Email: potter at math dot berkeley dot edu
Office: 852 Evans Hall
Office Hour: Tuesday 10am-11am and Thursday 11am-1pm or by appointments


Course guidelines

Assignments and syllabus


Announcements regarding the last week of class

Here is a practice final with solutions. Keep in mind that this final is designed for a three hour time period. Also, in our final, the vector calculus problems will be less straightforward and more like the problems in the worksheets and quizzes.

I have posted solutions to worksheet 16.8.

The homework assigned for 16.9 should be turned in Wednesday if you would like it returned to you on Thursday, which I recommend (and also since we'll have a quiz on Wednesday). However, you may still turn it it on Friday for full credit.

I will be holding extra office hours next week to prepare for the final. In addition to my usual Tuesday and Thursday hours I will also be available in my office on Monday 10-12 and Wednesday 12-2 (and by appointments, of course).

Instead of just one quiz on Wednesday, we will have two shorter quizzes: one on Tuesday covering 16.7 and one on Wednesday covering 16.8-16.9. This will allow you to have some feedback on your understanding of Stokes and Divergence Theorem before the final.

Due to the difficulty and the importance of surface integrals, I have written and posted full solutions to Worksheet 16.7. I highly recommend studying those problems in preparation for the final.

For those of you wondering how to study for the upcoming final, here are my recommendations: Determine what you did wrong on any quizzes where you lost points and make you sure you fully understand the solution. Review the graded homework problems. Take a practice exam under test conditions (I will post a practice exam, but they can also be found at the link below). For addition problems, I recommend the review problems at the end of each chapter.


Announcements

Here is the midterm grade breakdown.

A practice midterm with solutions.

Here is the link to the Moffitt library's archive of past exams : http://eres.berkeley.edu/coursepage.asp?cid=94


Quizzes

Quiz 1 (section 10.1)
Quiz 2 (sections 10.2-10.4)
Quiz 3 (sections 12.1-12.7)
Quiz 4 (sections 13.1-2,14.1-2)
Quiz 5 (sections 14.3-14.4)
Quiz 6 (sections 14.5-14.8)
Quiz 7 (sections 15.1-15.3)
Quiz 8 (sections 15.4-15.6)
Quiz 9 (sections 15.7-15.8)
Quiz 10 (sections 15.9-16.1)
Quiz 11 (sections 16.2-16.4)
Quiz 12 (sections 16.5-16.6)
Quiz 13 (part a) (section 16.7)
Quiz 13 (part b) (section 16.8-16.9)


Worksheets

Worksheet 10.1
Worksheet 10.2
Worksheetv10.3-4,12.1-4
Worksheet 12.5
Worksheet 12.6
Worksheet 12.7
Worksheet 13.1-2
Worksheet 14.2
Worksheet 14.3
Worksheet 14.4
Worksheet 14.5
Worksheet 14.6
Worksheet 14.7
Worksheet 14.8
Worksheet 15.3
Worksheet 15.4
Worksheet 15.5-15.6
Worksheet 15.7
Worksheet 15.9
Worksheet 16.1
Worksheet 16.2
Worksheet 16.3
Worksheet 16.4
Worksheet 16.5
Worksheet 16.6
Worksheet 16.7
Worksheet 16.7 with full solutions
Worksheet 16.8
Worksheet 16.8 with full solutions
Worksheet 16.9
Worksheet 16.9 with full solutions