- Midterm Exam 1:
- In Examples 3, 4, 6, 7, 8 (pages 434-437 in the book) of section
7.3,
the textbook evaluates integrals using a table of formulas (including
reduction
formulas). Obviously, a student cannot use this method during an
exam.
You are only allowed to use the formula sheet that is provided with
the
exam booklet. The official formula sheet, which is linked below, does
not contain any reduction formulas and does not have any of the
formulas
that the textbook uses in Examples 3, 4, 6, 7, 8 of section 7.3. Your
lecturer may include one particular reduction formula in the text
booklet,
but that is not the usual procedure for Math 152 exams. If an exam
problem requires a reduction formula, then you have to figure out the
type of reduction formula that is necessary,
and you have to derive that formula
(using integration by parts or some other appropriate method). Some
students memorize reduction formulas, but there are two reasons why
that may not be a good idea:
(1) You have to show work in all exam problems, and you may not get
credit
for showing work if you just write down a reduction formula and do not
include a derivation of the formula.
(2) There are too many reduction formulas, and it would take a very
long
time to memorize them. The time is much better spent doing exercises
that
lead to understanding of the material. If you do enough integration
exercises, then you will be able to see which integration method or
methods are appropriate for a integration problem on an exam. In
general, we don't give hints on what method should be used
for a particular integration.
See the link
Notes on Exams and Formula Sheets
for more information about what we
expect you to do on exams.
- The link
Review Problems for Midterm 1
gives you a set of problems that you can use as part of
your preparation for the first exam. There are two pages
of problems.
- The link
Notes on Review Problems for Midterm 1
gives partial solutions to the review problems for midterm 1.
Looking at these notes before you have worked seriously through the
problems will make the review problems much less useful to you.
- The link
Formula Sheet for Midterm 1 is the standard version of the
formula sheet that will be given out with the first midterm exam.
Your lecturer may give you a modified version.
- The link
Notes on Exams and Formula Sheets gives information about
what is and
what is not on the formula sheet. This link also reminds you that you
may not use any of following during an exam: Other notes, books,
calculators and electronic devices.
Professor Sara Soffer has written additional review problems,
which are available here:
Sara Soffer's review problems for Exam 1.
You can see streaming video solutions to these problems in the
following
links:
Part 1 of solutions and
Part 2 of solutions
- Midterm Exam 2:
-
Review Problems for Midterm 2
- The link
Notes on Review Problems for Midterm 2
gives partial solutions to the review problems for midterm 2.
Looking at these notes before you have worked seriously through the
problems will make the review problems much less useful to you.
- The link
Formula Sheet for Midterm 2 is the standard version of the
formula sheet that will be given out with the second midterm exam.
Your lecturer may give you a modified version.
- The link Sara Soffer's review problems for Midterm 2 gives you
a set of problems that were prepared by Sara Soffer for the second
exam in Math 152. The solutions to Sara Soffer's problems are given
in four parts below:
- Part 1 of the solutions
- Part 2 of the solutions
- Part 3 of the solutions
- Part 4 of the solutions
- Final Exam:
-
Review Problems for the Final Exam.
-
These review problems only cover material relating to the last
few lectures of the course. The final exam covers the entire
semester. You should also study the review
problems for the first and second midterm exams.
The final exam will have problems that do not resemble any of
these review problems. The final exam will also have problems
that do resemble some of these review problems.
-
Notes on review Problems for the Final Exam.
-
Formula sheet for the Final Exam.
-
Sara Soffer's Review Problems for the Final Exam. Sara Soffer's
streaming power-point lecture on these problems is posted below:
-
Sara Soffer's solutions to her review problems, part 1
-
Sara Soffer's solutions to her review problems, part 2
-
Sara Soffer's solutions to her review problems, part 3
- Other information:
Starting Thursday, September 15, Professor Sara Soffer will
have Math 152 clinics every Thursday from 5 to 7 pm in ARC 309.
These clinics provide an informal setting where students can
come in and get help from experienced math professors. Don't wait
until the first midterm exam. Start getting help now in ARC 309.
In Fall 2011, Math 152 uses the OLD edition of Rogawski's Calculus:
Early Transcendentals. Be sure to get the Rogawski book that has
the words Early Transcendentals on the cover. There is another book
by Rogawski that has a similar cover, but is not the Early
Transcendentals version.
If you click on the link
152 Resource
Page
then you will see useful information about the way calculus is taught
at Rutgers. There is even an old exam that was
given in Math 152. Do not assume that your exam will be "just like"
this old exam. We are very diligent in changing questions from
one semester to the next.
You will also see a link called Calculus at
Rutgers. This link gives you the 9 pages in the Rutgers Custom
Edition of Rogawski (the first edition, that is)
which don't appear in the non-custom edition.
If you click on the link
Numerical Integration then you will see numerical integration
programs that can be typed into a TI-83 calculator. You will have
to modify the program if you have a different calculator.
Spring 2011 Announcements for Math 152
- Midterm Exam 1:
- Sara Soffer will have a review session for the first midterm exam
of Math 152 in Hill 114 on Friday, February 18, starting at 5 pm.
- In Examples 3, 4, 6, 7, 8 (pages 434-437 in the book) of section 7.3,
the textbook evaluates integrals using a table of formulas (including
reduction
formulas). Obviously, a student cannot use this method during an
exam.
You are only allowed to use the formula sheet that is provided with
the
exam booklet. The official formula sheet, which is linked below, does
not contain any reduction formulas and does not have any of the formulas
that the textbook uses in Examples 3, 4, 6, 7, 8 of section 7.3. Your
lecturer may include one particular reduction formula in the text
booklet,
but that is not the usual procedure for Math 152 exams. If an exam
problem requires a reduction formula, then you have to figure out the
type of reduction formula that is necessary,
and you have to derive that formula
(using integration by parts or some other appropriate method). Some
students memorize reduction formulas, but there are two reasons why
that may not be a good idea:
(1) You have to show work in all exam problems, and you may not get
credit
for showing work if you just write down a reduction formula and do not
include a derivation of the formula.
(2) There are too many reduction formulas, and it would take a very
long
time to memorize them. The time is much better spent doing exercises that
lead to understanding of the material. If you do enough integration
exercises, then you will be able to see which integration method or
methods are appropriate for a integration problem on an exam. In
general, we don't give hints on what method should be used
for a particular integration. See the link
Notes on Exams and Formula Sheets
for more information about what we
expect you to do on exams.
- The link
Review Problems for Midterm 1
gives you a set of problems that you can use as part of
your preparation for the first exam.
- The link
Notes on Review Problems for Midterm 1
gives partial solutions to the review problems for midterm 1.
Looking at these notes before you have worked seriously through the
problems will make the review problems much less useful to you.
- The link
Formula Sheet for Midterm 1 is the standard version of the
formula sheet that will be given out with the first midterm exam.
Your lecturer may give you a modified version.
- The link
Notes on Exams and Formula Sheets gives information about
what is and
what is not on the formula sheet. This link also reminds you that you
may not use any of following during an exam: Other notes, books,
calculators and electronic devices.
- Midterm Exam 2:
-
Review Problems for Midterm 2
- The link
Notes on Review Problems for Midterm 2
gives partial solutions to the review problems for midterm 2.
Looking at these notes before you have worked seriously through the
problems will make the review problems much less useful to you.
- The link
Formula Sheet for Midterm 2 is the standard version of the
formula sheet that will be given out with the second midterm exam.
Your lecturer may give you a modified version.
- Final Exam:
-
Review Problems for the Final Exam.
-
These review problems only cover material relating to the last
few lectures of the course. The final exam covers the entire
semester. You should also study the review
problems for the first and second midterm exams.
The final exam will have problems that do not resemble any of
these review problems. The final exam will also have problems
that do resemble some of these review problems.
-
Notes on review Problems for the Final Exam.
-
Formula sheet for the Final Exam.
- On Tuesday, May 3rd, Professor Sara Soffer will conduct
a review for the Math 152 final exam, starting at 4:15 pm
in Hill 114 (Busch).
-
-
Sara Soffer's Review Problems for the Final Exam. Sara Soffer's
streaming power-point lecture on these problems is posted below:
-
Sara Soffer's solutions to her review problems, part 1
-
Sara Soffer's solutions to her review problems, part 2
-
Sara Soffer's solutions to her review problems, part 3
-
It is recommended that you attempt these problems before
seeing Professor Soffer's solutions.
- Review of Inverse Trig Functions, by Sara Soffer:
-
Inverse Trig Functions
- Sara Soffer's Math 152 clinics:
- There is a Math 152 clinic every Tuesday starting at 4 PM
at ARC 328 on Busch Campus. Students should arrive no later
than 4:45.
- Final Exam Date:
- The final exam for all sections of 152 will be given on
Thursday, May 5, 2011
from 4:00 pm to 7:00 pm.
See the final exam listing
on the Scheduling Office page, and log in to get your detailed exam schedule
toward the end of term. Check the dates of your final exams now, and
speak to your instructor about any conflicts. Review materials and
formula sheets for the Spring 2011 semester of Math 152 will be posted
later on this web page. The Review materials and
formula sheets for the previous semester are posted below:
Fall 2010 Review Materials and Formula Sheets for Math 152
- Midterm Exam 1
-
Review Problems for Midterm 1
- The link
Notes on Review Problems for Midterm 1
gives partial solutions to the review problems for midterm 1.
Looking at these notes before you have worked seriously through the
problems will make the review problems much less useful to you.
- The link
Formula Sheet for Midterm 1 is the standard version of the
formula sheet that will be given out with the first midterm exam.
Your lecturer may give you a modified version.
- The link
Notes on the Formula Sheet for Midterm 1 gives information about what is and
what is not on the formula sheet. This link also reminds you that you
may not use any of following during an exam: Other notes, books,
calculators and electronic devices.
Calculator Programs
Numerical Integration
Other resources
152 Resource Page:
Calculus at Rutgers, Workshops, Old Exams.