MATH 209: Calculus IV
Simpson Tower 317
Phone: (323) 343-2159 (It's much better to
Lectures: Tuesday and Thursday, 4:20--6:00, in Salazar Hall
Textbook: Calculus: Early Transcendentals, by
James Stewart, 7th edition, ISBN: 978-0-538-49790-9.
General course description: Prerequisite: Math 208 with a grade of C or better. This course will cover partial
differentiation and multiple integration with applications.
Topical outline: Three-dimensional
geometry, partial differentiation, multiple integration, spherical
and cylindrical coordinate systems, line integrals.
Student Learning Outcomes: Students who successfully complete Math
209 will be able to:
Compute the limit of a function of
two 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
and the gradient vector of a function; apply
computations to find rates of change of the function.
Use the derivative tests of a
function of two variables to find local maxima and minima; be able
to maximize or minimize a function of two variables on a closed
and bounded set in the plane.
Use the method of Lagrange
multipliers to maximize and minimize functions subject to
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
find the volume of a region in three-dimensional space.
Use multiple integrals to solve
physics 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 of 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
Homework: Homework will be assigned, but not
collected. We will discuss homework in class.
Exams: All exams are in the regular
classroom. The tentative dates and times of the exams are as
Test 1: Tuesday, May 6
: Tuesday, May 27
June 10, 4:30--7:00.
The test dates may be changed if necessary. If they do, then I
will announce it in class and post the new dates on the
Old tests online: I put a
bunch of old tests and quizzes from my past Math 209 courses on the
website (see website at top of syllabus). Do them as practice
for the tests. The solutions are also on the website.
will not be allowed on exams. To practice for the tests, do
not use a calculator when you do your homework. You will get
faster computing things very quickly.
Reasonable accommodation will be provided to any student
who is registered with the Office of Students with Disabilities
and requests needed accommodation. Let me know during the
first week of class if you will be needing accomidations.
Academic honesty statement: Students are expected to do their
own work. Copying the work of others,
cheating on exams, and similar violations will be reported to the
University Discipline Officer, who has the authority to take
disciplinary actions against students who violate the standards of
Student responsibilities: Students are responsible for being aware
of all announcements that are made in class, such as changes in
exam dates, due dates of homework and papers, and cancellation of
class due to instructor’s absence. Students
are responsible for announcements made on days that they are
Students must check their CSULA email account
regularly for 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
lab provided by the math department in Salazar Hall
357. This lab is staffed with people that can help
you. It is also a good place to meet other students.
The website is
schedule may not be up yet.
There is also a tutoring center on campus that is run by the
university. See the website