Jon Rogawski, Calculus (Early Transcendentals),
Second Edition, W. H. Freeman and Co. (We use a custom edition for
Rutgers!)
There will be a workshop once per week. In the
workshop, we will review the homework in the first 15–20 minutes, and
then proceed to work in small groups on 2–4 problems. You are
expected to participate in your small group in solving the
problems. At the end of the workshop, I will inform you which problem
to write up formally and hand in at the next workshop. The writeup is
expected to be written in your own words; collaboration is not
permitted!
Writeups will be graded out of 10 points. 5 points are for the
mathematical content and 5 points are for the quality of the
exposition and writen document. Roughly, the scores have the following
meaning: "0 means nothing legible is there. 2 means there is some
relevant work in proper format, but it makes almost no progress. 4
means the format is okay and there is some mathematical progress. 6
means format and exposition is okay and there is reasonable
mathematical progress. 8 means format and exposition is okay and the
mathematics is almost complete. 10 means there are no important errors
in math or exposition." [Prof. Greenfield's writeup guidelines]
Writeups should be concise (rough guideline is at most 2 pages), neat,
legible, and grammatically correct. For more on workshop writeups,
read through the workshop guide by Prof. Greenfield found
Homework will be assigned at the end of
each lecture. The homework problems will be listed in the chart
below. Once per week there will either be a quiz on the assigned
homework, or the homework problems listed below will be
collected. Calculators are not permitted on the quiz. Homework must be
neat, legible, and presented in numerical order. No late homework
assignments will be accepted.
"The University is committed to a culture of
academic engagement between students and faculty. Part of this
commitment involves taking responsibility for attending your classes,
labs and exams, and informing your instructors when you cannot attend."
"Rutgers students are expected to attend all scheduled course meetings.
University policy excuses absences due to religious observance or
participation in Rutgers-approved activities, and permits students to
make up work missed for these circumstances."
Following these guidelines, if you cannot come to lecture or
recitation for a legitimate, documented reason, you are able to makeup
the work after consulting with
me. Please
You may submit at most two extra credit
assignments. An extra credit assignment is a write up of one of the
challenging problems found in the "Further insights and challenges"
section at the end of each section. The write up must meet the
standards for a workshop write up, if not exceed the standards. Please
select a problem starting with Chapter 10 so it is relevant to our
current investigations. If you choose to do an extra credit
assignment, please let me know which problem you are thinking
about. If you are stuck, come to office hours to discuss. Different
students may not submit the same problem, so consult with me before
you embark on solving it.
A satisfactory extra credit assignments will replace the score of your
lowest workshop grade.
There will be two midterm exams which last the whole
class period, and one final exam which takes 3 hours. No calculators
or electronic devices are permitted on any of the exams. Review
material for the midterms is located
In addition to our usual meetings, please come to
my office hours if you have specific questions about the course
material or course details. I am also available via
e-mail. Additionally, the
offer tutoring in many mathematics classes,
including Math 152. The tutoring is provided by undergraduate peer
tutors. The
holds review sessions for math 152.
Grades will be maintained on Sakai. Your grade will be calculated using the following point distribution:
for the course. Refer to the official syllabus for the
complete list of homework problems to work through. The table below
will reflect selected problems you are to complete for homework and turn in.
| Sections | Topics | Homework problems |
| 5.1–5.4 | Approximating Area, FTC | 5.1: 7, 20, 27c
5.2: 15, 20
5.3: 55
5.4: 35 |
| 5.6, 5.7, 6.1 | Substitution, Area between curves | 5.6: 10, 21, 27, 52
5.7:9, 17, 25
6.1: 7, 16, 28 |
| 6.2, 6.3 | Volume, density, average value | 6.2:5, 13, 15, 28, 29, 43
6.3:9, 13, 24, 27–30, 50 |
| 6.3 cont., 6.4, | Volume, Cylindrical shells, | 6.4: 11, 18, 27, 33–36
|
| 7.1 | Integration by parts | 7.1: 9, 10, 19, 26, 34, 43, 46 |
| 7.2 | Trigonometric integrals | 7.2: 11, 17, 20, 43, 63 |
| 7.3 | Trig substitution | 7.3: 11, 17, 20, 22, 23, 32, 38 |
| 7.4, 7.5 | Hyperbolic integrands, partial fractions | 7.4: See official syllabus
7.5: See official syllabus |
| 7.5, 7.6 | Improper integrals | 7.6: 7, 11, 12, 14, 26, 27, 38, 29, 46, 58 |
| 7.6 | Improper Integrals, Review | 7.6: |
| Exam 1 |
|
| 7.8 | Numerical Integration | 7.8:7, 10, 15, 24, 25, 26, 31, 35, 36 |
| 10.1, 10.2 | Sequences and series | 10.1:10, 13, 18, 19, 24, 26, 33, 39, 40, 41, 45, 50, 59, 62, 65, 68
10.2:1b, 2c, 6, 12, 14, 17, 22, 25, 28, 30, 31, 35, 40 |
| 10.3 | Convergence of series with positive terms | 10.3: 5, 9, 10, 12, 13, 17, 20, 25, 26, 41, 43 |
| 10.4 | Absolute and conditional convergence | 10.4: 6, 7, 13, 19, 22, 28, 33 |
| 10.5 | Ratio and root tests | 10.5: See official syllabus |
| 10.6 | Power series | 10.6: See official syllabus |
| 10.7, 8.4 | Taylor series, Taylor polynomials | 10.7: 7, 10, 13, 15, 18, 19, 23, 30, 33, 38, 40, 42, 52, 54
8.4:8, 11, 14, 15, 17, 18, 21, 22, 24, 28 |
| 8.1 (8.2, 8.3) | Arclength, surface area | 8.1: 4, 9, 10, 15, 20, 23, 30, 36, 37, 45 |
| 11.1 | Parametric equations | 11.1: See official syllabus |
| 11.2 | Arclength, speed. Review | 11.2: See official Syllabus |
| Review | Review | Review materials |
| Exam 2 |
|
| 11.3, 12.7 | Polar, cylindrical, spherical coordinates | 11.3: 3, 5, 7, 8, 14, 15, 19, 22, 23, 24, 27, 28, 38, 41, 48, 50 |
| 11.4 (11.5) | Area, arclength in polar coordinates. | 11.4:2, 3, 7, 8, 10, 13, 14, 18, 24, 28, 31 |
| 9.1, 5.8 | Solving differential equations, Exponential growth | 5.8:
9.1: |
| 9.2 | Models involving y'=k(y-b) | 9.2: |
| Catch up |
|
| Review for Final Exam |
|