MATH 209: Calculus IV
Simpson Tower 317
Phone: (323) 343-2159 (It's much better to
Lectures: Tuesday and Thursday, 1:30--3:10, in Salazar
Textbook: Calculus: Early Transcendentals,
by James Stewart, 7th edition, ISBN: 978-0-538-49790-9.
description: Prerequisite: Math
208 with a grade of C or better. This
course will cover partial differentiation and multiple integration
Topical outline: Three-dimensional
partial differentiation, multiple integration, spherical and
coordinate systems, line integrals.
Student Learning Outcomes: Students who successfully complete Math
will be able to:
Compute the limit of a function of
variables, or show that the limit does not exist.
Compute the partial derivatives of a
function using the definition or the rules.
Compute derivatives using the various
Compute the directional derivative
the gradient vector of a function; apply
computations to find rates of change of the function.
Use the derivative tests of a
of two variables to find local maxima and minima; be able to
or minimize a function of two variables on a closed and bounded
Use the method of Lagrange
to maximize and minimize functions subject to constraints.
Compute double integrals, using polar
coordinates if necessary, and triple integrals, using cylindrical
coordinates or spherical coordinates if necessary.
Use a double or triple integral to
the volume of a region in three-dimensional space.
Use multiple integrals to solve
problems, such as finding the mass of a lamina or a solid.
Compute line integrals.
Grading: Your grade will be based on two
tests and a comprehensive final. Each exam will be worth 1/3
your grade. You are guaranteed to get at least the following
grade: 90--100% =
A/A-; 80--89% = B-/B/B+; 70--79% = C/C+; 0--69% = F/D/C-.
However, I may change the scale slightly in your favor.
Homework: Homework will be assigned, but not
We will discuss homework in class.
Exams: All exams are in the regular
classroom. The tentative dates
and times of the exams are as follows:
Test 1: Thursday, October 31
: Thursday, November 21
December 10, 1:30--4:00.
The test dates may be changed if necessary. If they do, then
will announce it in class and post the new dates on the
Old tests online: I put a
of old tests and quizzes from my past Math 209 courses on the
(see website at top of syllabus). Do them as practice for the
The solutions are also on the website.
not be allowed on exams. To practice for the tests, do not use
calculator when you
do your homework. You will get faster computing things very
Reasonable accommodation will be provided to
any student who is registered with the Office of Students with
requests needed accommodation. Let me know during the first
of class if you will be needing accomidations.
statement: Students are
do their own work. Copying the work
others, cheating on exams, and similar violations will be reported
University Discipline Officer, who has the authority to take
against students who violate the standards of academic
In addition, if you cheat on a test, you will receive an 'F' in
responsibilities: Students are
responsible for being aware of all announcements that are made in
as changes in exam dates, due dates of homework and papers, and
class due to instructor’s absence.
Students are responsible for announcements made on days
Students must check their CSULA email account
information from the instructor and the Department.
Failure to do so may result in missed
deadlines or other consequences that might adversely affect
students. Note that you can forward
this email account
to any other account of your choosing.
Tutoring: There is a tutoring
provided by the math department in Salazar Hall 357.
lab is staffed with people that can help you. It is also a
place to meet other students. The website is
schedule may not be up yet.
There is also a tutoring center on campus (see the website
http://www.calstatela.edu/centers/tutorctr). They have
list of the courses that they help students with at