Math 51 Spring 2015


All exams for Math 51 are closedbook, closednotes, with no calculators or other electronic aids permitted. Each midterm counts approximately 26% toward your final grade, and the final exam counts approximately 38%. (Your overall exam average is the sum of all points earned on all exams, divided by the total possible points; this average counts 90% toward the final grade. No scaling or curving is applied to individual exam scores.)
If you have a courserelated or competitionrelated schedule conflict with a midterm exam, you must at least a week in advance of the exam to make arrangements for an alternate (early) sitting; the same policy holds for OAE accomodations. No other schedule conflicts are accommodated for midterms, and alternate exam times are limited. The date and time of the Final Exam are set by the University; all students must take the exam at this time.
We will have assigned seating for all exams. The seating chart will be posted at the exam room on the evening of the exam; you are responsible for arriving a few minutes early to find your seat before the exam starts. Failure to sit in your assigned seat will be considered a breach of the Honor Code and be handled accordingly.
There is a regrade process after each midterm exam to address possible grading issues on individual problems.
Compose a letter clearly explaining why the particular problem merited more points, and turn it into your TA no more than two weeks after the official exam date. (Once submitted, any part of the exam may be regraded.) The submission deadlines are firm, and no exceptions will be made, so please go over your exam, alongside the posted solutions (see below), in a timely manner.

Exam 1 is on Thursday, April 23rd, from 7:30pm to 9:30pm. The exam covers sections LA1LA14 inclusive. Solutions

Exam 2 is on Thursday, May 14th, from 7:30pm to 9:30pm. The exam covers the material on the course syllabus through (and including) the end of Week 6: namely, through LA 17 (plus LA21, p1459) in Levandosky, and through DVC 11.1 in Licata. Solutions

The Final Exam is on Friday, June 5th, from 7:00pm to 10:00pm. You must take the exam at this time.
The exam is comprehensive, but there will be a heavier emphasis placed on syllabus topics covered after the Exam 2 cutoff.

Previous Exams
The following exams were given in previous
incarnations of Math 51. Material covered on a given midterm of a given course
may not exactly correlate to the material covered in Math
51 this quarter, so please bear this in mind when working these examples. Also keep in mind that the midterm exams are not of a uniform length, since different courses set different time limits (60 minutes, 90 minutes, 120 minutes, etc).
When
reviewing these exams you should attempt to solve the problems on your
own without looking at the included solutions. Working the problems
with the solutions at hand will do you no good at all.
First Midterms

Second Midterms
 Autumn 2000 and Solutions
 Spring 2001 and Solutions
 Autumn 2001 (solutions only)
 Spring 2002 and Solutions
 Spring 2003 and Solutions
 Autumn 2003 (solutions only)
 Winter 2004 and Solutions
 Spring 2004 (solutions only)
 Autumn 2005 and Solutions
(Solution to #6a is incorrect)
 Winter 2006 (solutions only)
 Spring 2006 (solutions only)
 Autumn 2006 and Solutions
 Winter 2007 and Solutions
 Spring 2007 and Solutions
 Autumn 2007 and Solutions
(Sol of #3b has numerical mistakes)
 Winter 2008 and Solutions
 Relevant for Spring 2015 Exam 2: #4,5(first four parts),6
 Spring 2008 and Solutions
 Relevant for Spring 2015 Exam 2: #1,3(first four parts),7,8
 Autumn 2008 and Solutions
 Relevant for Spring 2015 Exam 2: #2,3,5ab,7,8
 Winter 2009 and Solutions
(Problem 6d is incorrect, don't do it.)
 Relevant for Spring 2015 Exam 2: #1,2,3,6a,7,8
 Spring 2009 (solutions only)
 Relevant for Spring 2015 Exam 2: #1,2,3,4,5a,5c,9
 Autumn 2009 (solutions only)
 Relevant for Spring 2015 Exam 2: #1a,c,7,9
 Winter 2010 and Solutions
 Relevant for Spring 2015 Exam 2: #1,2ab,6,7,8,10
 Spring 2010 (solutions only)
(Typo #2b sol: lower right should be 1)
 Relevant for Spring 2015 Exam 2: #1,3a,4a,6,7,9
 Autumn 2010 and Solutions
 Relevant for Spring 2015 Exam 2: #5c,6,8,9a
 Winter 2011 and Solutions
 Relevant for Spring 2015 Exam 2: #1ab,2a,5abcd,6ab,7ab,8,10
 Spring 2011 and Solutions
 Relevant for Spring 2015 Exam 2: #1,2ab,3b,7,8abc
 Autumn 2011 and Solutions
 Relevant for Spring 2015 Exam 2: #3abc,4ab,6ab,7
 Winter 2012 and Solutions
 Relevant for Spring 2015 Exam 2: #1,2ab,510
 Spring 2012 and Solutions
 Relevant for Spring 2015 Exam 2: #1,2,4c,8
 Autumn 2012 and Solutions
 Relevant for Spring 2015 Exam 2: #14,6ace
 Winter 2013 and Solutions
 Relevant for Spring 2015 Exam 2: #3,4,5c,7 (but ignore x^2 + xy + y^2 vs. x^3 + 3xy + y^2)
 Spring 2013 and Solutions
 Relevant for Spring 2015 Exam 2: #1,8
 Autumn 2013 and Solutions
 Relevant for Spring 2015 Exam 2: #4,5,6,7
 Spring 2014 and Solutions
 Relevant for Spring 2015 Exam 2: #1,2,3,8
 Autumn 2014 and Solutions
 Relevant for Spring 2015 Exam 2: #4a,7
 Winter 2015 and Solutions
 Relevant for Spring 2015 Exam 2: #1,2,3

Final Exams
 Autumn 2000 and Solutions
 Spring 2001 and Solutions
 Autumn 2001 and Solutions
 Spring 2002 and Solutions
 Spring 2003 and Solutions
 Winter 2004 and Solutions
 Spring 2004 (solutions only)
(Sol of #3 has a numerical mistake)
 Autumn 2004 and Solutions
 Autumn 2005 and Solutions
 Autumn 2006 and Solutions
 Winter 2007 and Solutions
 Spring 2007 and Solutions
 Spring 2008 (no solutions)
 Relevant for Spring 2015 Exam 2: #2,3,4,5
 Winter 2009 (no solutions)
(Problem 3b should have a "region R", not "a triangle R". The region should be 3dimensional.)
 Relevant for Spring 2015 Exam 2: #1,2,3,4,5ab,7c,9,10
 Winter 2010 and Solutions
 Relevant for Spring 2015 Exam 2: #2,4,6,7,8,9,11,12,15
 Autumn 2010 and Solutions
 Relevant for Spring 2015 Exam 2: #2,3,4a,5a,7,9
 Winter 2011 and Solutions
 Relevant for Spring 2015 Exam 2: #1b,6,7,8ab,11ab,12ab,14
 Spring 2011 and Solutions
 Relevant for Spring 2015 Exam 2: #7ab,8ab,9ab,10a
 Winter 2012 (solutions only)
 Relevant for Spring 2015 Exam 2: #3,5a,6,7,11,13,16
 Spring 2012 and Solutions
 Relevant for Spring 2015 Exam 2: #1b,68,10a
 Winter 2013 and Solutions
 Relevant for Spring 2015 Exam 2: #3,4,6,10
 Spring 2013 and Solutions
 Relevant for Spring 2015 Exam 2: #4,6,7abc,8
 Spring 2014 and Solutions
 Relevant for Spring 2015 Exam 2: #1abcdghij,3c,5,6a,8,(also 6bc with firstorder instead of secondorder Taylor pol.)
 Winter 2015 and Solutions
 Relevant for Spring 2015 Exam 2: #3,6,8


