18.01 - Fall 2004
18.01 - IAP 2005 Schedule and Room
(Adobe Acrobat -- pdf file)
General information
1. The textbook is Simmons "Calculus", 2nd edition.
It can be bought at Quantum Books; used copies are also
obtainable, since we have used it here for quite a while.
2. You also need the 18.01/18.01A Notes, which treat a few of
the topics in Simmons in more detail, or more succinctly; most of
the Notes however consists of a section of exercises covering the
term's work, plus a
section of solutions for them, in case you get stuck.
The biweekly problem sets will contain some of these to work out,
plus other problems for which you won't have solutions to refer to.
The notes are obtainable only at Copy Tech, in the basement of
Building 11, inside the main building near its entrance on Mass. Ave.
They are essentially the same as last year's; only a few small
errors and typos have been corrected.
3. The course will start the first day of classes -- Wed. Sept. 8
-- with a recitation section, which will review and give you
practice on the section G of the Notes (Graphing Principles).
The first lecture will be the next day, Thursday, on the
definition and interpretation of the derivative.
4. Most other things you need to know are on the two-page Syllabus sheet,
which gives an outline of the course. It will be distributed in
the first recitation on Wed., along with the first problem set.
However, if you want to look at it in advance, there are links
below in pdf and ps formats you can use to view it, or print it
out.
18.01 Syllabus, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 1, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 2A, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 2B, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 3, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 3 Solutions, Fall 2004
(Adobe Acrobat -- pdf file)
18.01 Problem Set 4A, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 4B, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 5, Fall 2004
(Adobe Acrobat -- pdf file)
Corrections:
Part I, Lecture 21: Exercise 4B-2: in Notes, replace 21-5 by 4B-1
Part II, 3c: read cg(x^2); 3d: read f(.1)
18.01 Problem Set 5 Solutions, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 6, Fall 2004
Solutions available in box outside 2-241.
(Adobe Acrobat -- pdf file)
(Postscript file )
Changes:
Part I, Lecture 26 (Tues.): Read 10.7, Work 5F-1a, 2d then 2b,
3
Part II: Problem 6: 10.7/24a --- Problem 7: 10.7/26ab
18.01 Problem Set 6 Solutions, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 7, Fall 2004
Solutions availble in box outside 2-241 Fri 11/19 to Mon 11/22;
given out in recitation Mon 11/22.
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 7 Solutions, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Problem Set 8, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
Correction: Part II Problem 4: the wire is the just the upper
half of the cardioid.
18.01 Problem Set 10, Fall 2004
(Adobe Acrobat -- pdf file)
18.01 End of Term -- Fall 2004
1. Problems on improper integrals and infinite series, to prepare
for final.
2. Suggestions for studying for the final exam.
3. Information about the Make-up 18.01 during IAP for those who
do not pass Fall 18.01.
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Practice Questions for Exam 1, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Solutions to Practice Questions for Exam 1, Fall
2004
(Adobe Acrobat -- pdf file)
(Postscript file )
(The .pdf version is considerably easier to read on-line than the .ps version.)
If you have to use the .ps version, it looks better when printed out.
18.01 Practice Questions for Exam 2, Fall 2004
The longer ones (like the first question) would get more credit
on an exam.
g
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Solutions to Practice Questions for Exam 2, Fall
2004
(Adobe Acrobat -- pdf file)
Correction: In the solution to problem 1, there is also a zero in [0,1], as the
sketch shows.
18.01 Practice Questions and Solutions for Exam 3, Fall 2004
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Practice Questions and Solutions for Exam 4, Fall 2004
These postings contain only the questions. Solutions are
available on the printed versions (available in a box outside
2-241 Fri to Mon, 11/19-11/22)
(Adobe Acrobat -- pdf file)
(Postscript file )
18.01 Solutions to Practice Questions for Exam 4, Fall
2004
(Adobe Acrobat -- pdf file)
(Postscript file )
M.I.T. Advanced Placement Exam for 18.01
This exam has two parts. Part I (90 minutes) described below,
covers the AB syllabus; a practice exam and solutions are given
for it. Part II (90 minutes, given immediately
afterwards)
covers certain topics in 18.01 on the BC syllabus, but not the AB
syllabus: linear and quadratic approximation, mean-value theorem,
further techniques and applications of integration, polar
coordinates, parametric equations, L'Hospital's rule, improper
integrals, convergence of certain infinite series (geometric
series, series whose n-th term gets small like the reciprocal
of a fixed k-th power of n, where k is a positive number.)
Part II will not cover the following BC syllabus topics:
solving first-order differential
equations graphically and numerically, second-order differential
equations with constant coefficients; general infinite series:
ratio test, Taylor series, power series.
Note:
If you want to AP 18.01,
you must take both parts of the AP exam. even if you satisfy one of
the other admissions criteria given above for 18.01A-18.013A.
Practice Exam for Part I of the 18.01 AP exam
(Adobe Acrobat -- pdf file)
(Postscript file )
Solutions to above Practice Exam
(Adobe Acrobat -- pdf file )
(Postscript file )