MATH 209: Calculus IV
Spring 2014
Instructor: Tony Shaheen
Office: Simpson Tower 317
Phone: (323) 343-2159 (It's much better to email me.)

Office Hours: to be announced in class.

Class website: Follow the link from

Lectures: Tuesday and Thursday, 4:20--6:00, in Salazar Hall C171.

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 analytic 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 chain rules.
  • Compute the directional derivative and the gradient vector of a function;  apply these 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 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 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 favor.

    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 follows:

    Test 1: Tuesday, May 6
    Test 2: Tuesday, May 27
    Final: Tuesday, 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 website. 

    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.

    Calculators: Calculators 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.

    ADA statement:  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 academic honesty. 

    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 absent.

    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  The schedule may not be up yet. 

    There is also a tutoring center on campus that is run by the university.  See the website