Welcome to Calculus 2. The
purpose
of this page is to make certain resources available and keep you
up to date with everything
going
on in the course.
** REMINDER: If you're having trouble
with the
course,
there are video clips available
on
which
many
typical problems are presented and explained. It's worth taking a look
at if you
feel
the
need.
They are available here.
The final exam
is mandatory for everyone and will take place on Monday, May 4
from
11:30 AM - 2:30 PM in Sage 3303.
No books, notes or
calculators are
allowed. The exam will contain all of the formulas included on
the previous three exams,
including
the series flowchart sheet.
There will be a
review class conducted by Dr. Schmidt on Thursday, April 30 from 2 - 4
PM in
Darrin 330.
Brendan Neschke
will also conduct a review class on Sunday, May 3 from 1 - 3 PM in Amos
Eaton 214.
Here are some practice
problems.
These practice
problems
emphasize
material NOT covered in the
Calculus Skills
problem
set,
since this is the material that will be emphasized on the conventional
portion of the final
exam.
If you wish to ask questions about skills problems during
the review class, you may
do so.
Prof. Schmidt
will also have
office
hours on Wednesday, April 29 from 3:30 - 5 PM.
FORMAT OF THE FINAL EXAM:
The final exam will consist of two parts:
The first part will be a conventional exam consisting of 6 problems.
You
will have to solve 5 of the 6.
You will need to indicate on the front of the exam which problem you do
not want graded.
These problems will be worth 17 points each, for a total of 85 points.
The second part will be a skills exam consisting of 10 problems from
the
Calculus Skills problem set
as described below. These problems will be worth 2 points each.
Thus, the skills portion of the final exam consists of 20 points, the
conventional
portion consists of
85 points, for a total of 105 points, just like all of our other exams.
As
discussed in class, the skills portion of the final will
also serve as a cumulative skills quiz and
potentially contribute to your
quiz average.
The 10
problems on the
Skills
portion of the exam will come from the following sections, with one
problem
from each section:
5.3-5.5
7.1
7.2
7.4
10.3
11.11
12.3
12.4
13.2
14.3
The conventional
portion of
the
exam will potentially cover material from the sections summarized below.
While any of these
sections may
be covered, the problems are more likely to emphasize topics not covered
within the skills portion
of the
exam. We did not necessarily cover the sections below in their entirety,
so the notes are the best
guide
for the exact material covered:
Integration by
Parts (7.1)
Trigonometric Integrals
(7.2)
Trigonometric Substitution
(7.3)
Partial Fraction Expansion
(7.4)
Improper Integrals (7.8)
Conic Sections
(10.5)
Parametric Equations (10.1)
Calculus with Parametric
Curves
(10.2)
Polar Coordinates (10.3)
Area in Polar
Graphs
(10.4)
Sequences (11.1)
Infinite Series (11.2)
Geometric and Telescoping
Series
(11.2)
Divergence Test (11.2)
Integral Test and
p-series (11.3)
Comparison Test and Limit
Comparison
Test (11.4)
Alternating Series Test
(11.5)
Ratio Test (11.6)
Absolute and Conditional
Convergence
(11.6)
Power Series (11.8)
Representing Functions
using
Power
Series (11.9)
Taylor and
Maclaurin
Series
(11.10)
Taylor Polynomials and
Approximation
of Functions (11.11)
Three Dimensional
Coordinate
Systems
(12.1)
Vectors (12.2)
Dot Product and
Orthogonality
(12.3)
Component and Projection
(12.3)
Work (12.3)
Cross Product (12.4)
Equations of Lines and
Planes in
Space (12.5)
This
is one of several opportunities to improve your quiz grades. A
cumulative quiz containing new versions of some of the problems
from the previous skills
quizzes will be given, and you will gain credit for any problem you
answer correctly that was answered
incorrectly on the previous
quizzes. Note that there is no penalty for
answering a question incorrectly if it has already been answered
correctly on a previous
quiz.
Course
Information:
Office Hours Information:
Prof. Schmidt's Office Hours (in Amos Eaton 408): Monday 3 - 4:30 PM, Thursday 3 - 4 PM
Recitation Instructor Office Hours:
Skills Assistant Office Hours:
Course Resources:
General resources for Calculus:
This web page
collects many
helpful
resources, including information about Supplemental
Instruction, Drop In
Tutoring,
on-line
video clips and much, much more!
Resources Specific to our class:
Resources for Calculus Skills Problem Set:
The Calculus
Skills Problem
Set
is a set of problems designed to test your ability to carry out the
basic
computations
from Calculus accurately.
Throughout
the semester you will be tested (during quizzes and the final exam) on
algorithmically generated
versions
of these problems. You will also have designated class time each
week
to work on these problems
in a
supervised setting.
These problems
will always be
graded
with no partial credit, and will account for approximately 20 % of
the course grade. The
details of
how the skills problems will be tested and how they will contribute to
your
grade appear in the course
policies
above.
The
Calculus Skills home
page
is http://calculus.math.rpi.edu.
This page contains much important information
pertaining to the skills portion of the course,
including
rules pertaining to how the problems will be graded,
academic integrity guidelines, and Skills
Assistant
office hours. It also contains a list of all the Calculus
Skills problems and resources for practicing
different
versions of them.
MAPLE Resources:
MAPLE
Files This is a series of tutorial files explaining how
MAPLE can be used to perform different pre-Calculus
and Calculus tasks. MAPLE (or a graphing calculator) may be handy now
and
then if you need to
quickly sketch a graph or solve an equation, although neither resource
may be used on exams and
quizzes.