(The last problem is based on the 10/20 Tuesday lecture.)

(Sun. 1:15 AM : A typo in Problem 6 is now corrected (the r should be an exponent 2) --

if you printed the practice final Sat. evening instead of gazing at the awesome (used rightly, for once) evening star,

you should reprint page one or just fix the typo.)

A more easily readable scan of the solutions by Jerry Orloff:

(Adobe Acrobat -- pdf file

(Sunday 10 PM): Problem 4ab on Part II has been corrected so both (a) and (b) have t=pi/2 at the start (not t=0).

A hint has been added to part (b): Calculate and simplify the integral for s using a general f(t) first, then put f(t)=1/t^p at the end.

In addition to the textbook (Simmons, 2nd ed.), you will need the 18.01A Supplementary Notes, which can be purchased at Copy Tech, in the basement of Building 11, starting Wed. Sept.8. (These differ from the regular 18.01 Notes also on sale there by the addition of 24 pages on Probability.) You can use last year's 18.01A Supplementary Notes: this year's just improve the wording or correct a typo in a few of the exercises.

Arthur Mattuck 2-241 3-4345 apm@math.mit.edu or mattuck@mit.edu Office: Tues 3-5 in 2-241.

1. 11 8-119 Paul Hand 2-390 3-4390 hand@math Tues 12-1, Wed 6-7

2. 12 8-119 Peter Tingley 2-172 3-4470 ptingley@math Tu 10-11 AM,
Wed 9-10 AM, 5:20-6:20 PM

3. 1 26-142 Chenyang Xu 2-380 3-6544 cyxu@math Wed 4-5, 7-8
PM

4. 1 8-119 Paul Hand (see above)

5. 2 26-142 Chenyang Xu (see above)

6. 2 66-154 Rafael Oliveira 2-101 rmendes@mit.edu Wed. 8-9 PM (till
9:30 if needed)

7. 2 4-257 Peter Tingley (see above)

8. 3 4-257 Peter Tingley (see above)

Use the Stellar website ( Stellar ) for confirming what recitation you are officially in, after Registration Day. As the information is put onto it, you can use the site to change recitation, or to get into one officially if you were never put in one by the class-scheduling computer. Later you can use it to check your scores on problem sets and exams.

1. A score of 4 or 5 on the AB Advanced Placement test, or an AB subscore of 4 or 5
on the BC test

2. An equivalent score on the A-level or the IB exam.

3. An equivalent grade in a college calculus subject with syllabus comparable to
the AB syllabus. (You must present a college transcript and a copy of the syllabus.)

4. A passing grade on Part I of the M.I.T. 18.01 Advanced Placement exam, given
during R/O week. A practice exam and solutions are given by the
following links (a description of what it covers is given in the Part
I section below them) :

Part I (90 minutes) is the Exam for Admission to 18.01A, like the practice exam given above; it covers the AB syllabus: definition of derivative, differentiation rules, implicit differentiation, derivatives of the elementary functions (including the inverse functions); standard applications (curve-sketching, max-min problems, related rates); simple antidifferentiation, including substitutions; solving separable first-order differential equations by antidifferentiation; definition of the integral as the limit of Riemann sums; evaluating definite integrals by using the fundamental theorem of calculus, applications to finding areas and volumes of revolution about the x-axis; numerical evaluation of definite integrals by the rectangular and trapezoidal rules. (This should be adequate; a more detailed description of the Calculus AB Syllabus is available on the internet.)

Part II (90 minutes, given immediately
afterwards)
covers some additional topics in 18.01 on the BC syllabus: linear
and quadratic approximation, mean-value theorem,
further techniques of antidifferentiation 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, since they are not included in 18.01: solving first-order differential equations graphically and numerically, second-order differential equations with constant coefficients; ratio test for infinite series.