Calculator:
A graphing calculator will be a useful thing to have. Most of the
calculator handouts will be based on the TI-83/TI-83 Plus/TI-
84/TI-84 Plus family of calculators. Many students like the TI-86
and TI-89 calculators because of their advanced capabilities. If
you select a more advanced calculator, make sure you are very
familiar with it and keep the user manual handy. You will be
allowed to use your calculator on quizzes and exams although
some quiz and test questions will explicitly forbid the use of
calculators.
Add/Drop deadline (Tuition) | Monday, September 8. |
Last day to drop (no W) | Monday, November 3. |
Last day to drop (W) | Friday, December 5. |
Unit exam 1 | Friday, September 19, in class. |
Unit exam 2 | Friday, October 24, in class. |
Unit exam 3 | Friday, November 21, in class. |
Final exam (cumulative) | Scheduled by registrar. |
These exam dates are firm. Non-university related travel plans are not a
sufficient reason
to reschedule an exam.
Quizzes | 10% |
Homework | 10% |
Unit exam 1 | 20% |
Unit exam 2 | 20% |
Unit exam 3 | 20% |
Final Exam (cumulative) | 20% |
90-100 | A |
80-89 | B |
70-79 | C |
60-69 | D |
0-59 | R |
The only circumstances under which I will deviate from this curve are to ensure
that: (a)
at least 20% of the class gets a final grade in the course of “A,“ and (b) at
least 50% of
the class gets a final grade in the course of “B“ or higher. That is, the grade
cut-offs
listed above may be lowered at the end of the semester. They will not be raised,
so for
example, if you achieve a weighted average of 90 for the semester, you are
guaranteed to
get an A no matter what.
In the case of a non-integer, weighted average, your average will be rounded up
to the
nearest whole number.
The second version of the test will be given approximately
ten days to two weeks later
(when everyone has received their graded unit exam back). This test will be
given
outside of regular class time and will be open to anyone who wants to take it.
The score that we will use when computing your final grade in the course will be
the
higher of these two scores. If you take the one of the tests (the version given
in class or
the version given later), you will receive the score you get on that test. If
you take both
tests (the version given in class and the version given later) you will receive
the higher of
the two scores. If you take neither test, you will receive a score of zero.
The purpose of this policy is to recognize that during your first semesters in
college, you
are learning a lot about the expectations of college-level courses, what you do
and do not
know (and how to recognize this), what is expected of you when you take an exam
in
college, how long it will take to prepare yourself for a test, and what you
should do to get
yourself prepared. All of this can be quite different from the courses you are
accustomed
to, and you will need time to adapt. The idea of giving you the opportunity to
take a
similar test at a later date is to allow you to start to figure these things out
for yourself
without doing severe damage to your grade in the class.
Because of the obvious logistical problem of the end of the semester, there
is no “do-
over” opportunity for the cumulative final exam.
(b) Participate in class and ask questions when you are
confused,
(c) Complete as many suggested problems from the textbook as you can (you will
be
able to find these posted on the course web site), and,
(d) Seek help when/if you need it.
Each Thursday, your TA will begin the recitation by giving you the opportunity
to ask
about the review problems you have been assigned. The TA will do his or her best
to
answer as many questions and work as many problems as possible. When the
questions
have been answered, or when there is only a limited amount of time left in the
recitation,
the quiz will begin.
During the semester, there will be a total of ten (10) quizzes given. When
computing
your final grade in the course, we will drop the lowest two (2) quiz scores. If
you are
absent from recitation when a quiz is given and you don’t have a good excuse,
then the
missed quiz will count as one of the scores that will be dropped.
Your TA will not give make-up quizzes except in cases of a serious, documented
emergency (e.g. serious illness that prevents you from attending recitation
and/or
lecture).
Once per week you will be required to complete a homework
assignment consisting of
problems from the course textbook. Each homework assignment will consist of
approximately ten (10) problems from the textbook. Of these, five (5) problems
will be
graded. As there is no way of knowing which problems will be graded, you should
do
your best to complete all of the problems on each homework assignment.
I explicitly encourage you to feel free to work with other students in the
course and seek
out help either from me or from your recitation instructor when working on the
homework problems. The whole point of doing the homework is for you to develop
your
understanding of math. The points that the homework contributes to your final
grade at
the end of the semester are nice but not the main point of the exercise. To this
end,
simply copying another person’s homework is not permitted because it deprives
you
of the opportunity to figure out what is going on. If the grader detects copying
(e.g.
exactly the same nonsensical work on two papers) then all students involved will
receive
zero credit for the assignment and the matter will be referred to the head of
the Math
Department, the Dean and the Dean of Student Affairs.
There will be ten (10) homework assignments due during the course of the
semester.
Homework assignments can be found on the course web site. Completed homework is
due in at the start of recitation on Tuesdays, starting with Tuesday, September
2.
If you cannot hand in your homework at the start of the recitation section when
it is due,
you can still hand in the homework by taking the completed assignment to the
Mathematical Sciences office (6113 Wean Hall), putting the assignment in your
TA’s
mail box, and sending your TA an e-mail to let them know it is there. If you do
all this,
then your homework will be graded although you will receive a 50% penalty for
handing it in late.
Solutions to the homework problems will be posted on the course web site on
Wednesday
afternoons. For this reason, no homework will be accepted for credit after noon
on
Wednesday.
At the end of the semester, the lowest two (2) homework scores will be dropped.
If you
miss a homework assignment, the missed homework assignment will count as one of
the
scores to be dropped.
Problem solution submitted | Score |
All sections of problem completed
correctly and written up in a way that is comprehensible to the grader. |
3 |
All sections of problem completed
with convincing work shown throughout, but either some of the answers are not correct or some of the work not comprehensible to the grader. |
2 |
Correct answer given but work is
either missing or incomplete. Alternatively, some (but not all) of the problem has been attempted with convincing work shown, but solution is incomplete. |
1 |
Solution not submitted. | 0 |
Date | Topic | Textbook | |
8/25 | First day. Integration formulas. U-Substitution. | 5.5 | |
8/26 | First day. U-substitution. | 5.5 | |
8/27 | Integration by Parts. | 6.1 | |
8/28 | Quiz #1 on class policies and integration. | ||
8/29 | Trigonometric integrals. | 6.2 | |
9/1 | Labor Day – NO CLASS. | ||
9/2 | Homework #1 due. Trigonometric integrals. | 6.2 | |
9/3 | Trigonometric substitution. | 6.2 | |
9/4 | Quiz #2 on trigonometric integrals and substitution. | ||
9/5 | Partial fractions. | 6.3 | |
9/8 | More partial fractions. Integration tricks and tables. | 6.3, 6.4 | |
9/9 | Homework #2 due. Approximating integrals in a calculator. | ||
9/10 | Riemann sums. Over/under estimates. Midpoint & trapezoid rule. | 6.5 | |
9/11 | Quiz #3 on integration using partial fractions and tables. | ||
9/12 | Simpson’s rule. Error estimates. | 6.5 | |
9/15 | Improper integrals. | 6.6 | |
9/16 | No homework due. Comparing improper integrals to p-integrals. | 6.6 | |
9/17 | Review for Unit Exam 1. | ||
9/18 | No quiz. Review for Unit Exam 1. | ||
9/19 | Unit Exam 1 (held during class time). | ||
9/22 | Calculating areas and volumes (disks). | 7.1, 7.2 | |
9/21 | Homework #3 due. Calculating volumes using disks. | 7.2 | |
9/24 | Calculating volumes using cylindrical and spherical shells. | 7.3 | |
9/23 | Quiz #4 on improper integrals and area/volume calculations. | ||
9/26 | Calculating mass and other slicing problems. Arc length. | 7.4 | |
9/29 | Calculating work and hydrostatic pressure. | 7.5 | |
9/30 | Homework #4 due. Calculating the center of mass. | ||
10/1 | Solutions of differential equations. Euler’s method. | 7.6 | |
10/2 | Quiz #5 on cylindrical shells, slicing problems and physics applications. | ||
10/3 | Numerical and graphical solutions of differential equations. | 7.6 | |
10/6 | Separable equations. Separation of variables. | 7.6 | |
10/7 | Homework #5 due. Modeling the spread of a disease. | ||
10/8 | Modeling with differential equations. Solving the Logistic Equation. | ||
10/9 | Quiz #6 on solving differential equations numerically, graphically, symbolically. | ||
10/10 | Solving first order ODEs using integrating factors. | ||
10/13 | Solving second order homogeneous ODEs. | ||
10/14 | Homework #6 due today. Solving 1 and 2 order ODEs. | ||
10/15 | Solving second order non-homogeneous ODEs using variation of parameters. | ||
10/16 | NO RECITATION SECTION TODAY. | ||
10/17 | Fall Break – NO CLASS. | ||
10/20 | Solving second order non-homogeneous ODEs using variation of parameters. | ||
10/21 | No homework due. Solving second order differential equations. | ||
10/22 | Review for Unit Exam 2. | ||
10/23 | No quiz. Review for Unit Exam 2 | ||
10/24 | Unit Exam 2 (held during class time). | ||
10/27 | Infinite series. Definition of convergence and divergence. | 8.2 | |
10/28 | Homework #7 due. Geometric series and applications. | ||
10/29 | Convergence tests (n term, integral). Estimates of sums. | 8.3 | |
10/20 | Quiz #7 on solving first and second order differential equations. | ||
10/31 | The Ratio Test. | 8.4 | |
11/3 | The Comparison Test. | 8.3 | |
11/4 | Homework #8 due. Practice using convergence tests | 8.3, 8.4 | |
11/5 | Alternating series. Absolute and conditional convergence. | 8.4 | |
11/6 | Quiz #8 on convergence of infinite series. | 8.3, 8.4 | |
11/7 | Summary of strategies for testing convergence of infinite series. | 8.3, 8.4 | |
11/10 | Power series and Taylor series. | 8.5, 8.7 | |
11/11 | Homework #9 due. Approximating functions with series. | 8.6 | |
11/12 | Finding formulas for Taylor Series | 8.6, 8.7 | |
11/13 | Quiz #9 on convergence of infinite series and Taylor series. | ||
11/14 | Radius of convergence of a power series or Taylor series. | 8.5 | |
11/17 | Applications of Taylor polynomials. | 8.8 | |
11/18 | No homework due today. Radius and interval of convergence. | 8.5 | |
11/19 | Review for Unit Exam | 3. | |
11/20 | No quiz. Review for Unit Exam 3. | ||
11/21 | Unit Exam 3 (held during class time). | ||
11/24 | Parametric equations for curves. | 9.1 | |
11/25 | NO RECITATION SECTION TODAY. | ||
11/26 | Thanksgiving Break – NO CLASS. | ||
11/27 | Thanksgiving Break – NO CLASS. | ||
11/28 | Thanksgiving Break – NO CLASS. | ||
12/1 | Calculus of parametric curves. | 9.2 | |
12/2 | Homework #10 due. Setting up parametric equations. | 9.1 | |
12/3 | Polar coordinates. | 9.3 | |
12/4 | Quiz #10 on Taylor series and radius of convergence. | ||
12/5 | Review for the cumulative final exam. |
12/8-12/16 Final exam period. Final exam time and place to be set by registrar.