*This page contains information about Math 152 as a whole.
Some details may not apply to your particular section.
Always consult your instructor or your instructor's web page for information
specific to your section. This web page will be updated later
during the semester. You can see below the announcements,
review materials and formula sheets that were used in previous
semesters.
*

Announcements | Review Problems and Formula Sheets | |
---|---|---|

General Course Information | Syllabus & HW | Section Web Pages |

**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.
**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:****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: - Calc 1
- Inverse Trig Functions
- 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.
- 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 Sara Soffer's solutions to her review problems, part 2 contains a streaming power-point lecture covering material relevant to the second midterm. This is part 2 of
- Sara Soffer's Review Problems for the Final Exam.
- 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
- The link Notes on Review Problems for the Final Exam gives partial solutions to the review problems 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
- It is recommended that you attempt these problems before seeing Professor Soffer's solutions.
- Formula Sheet for the Final Exam

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

** 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.

152 Resource Page: Calculus at Rutgers, Workshops, Old Exams.