MATH 285-07

Fall 2016

Instructor: Dr. Kathryn Weld,

Office: RLC 201. 718-862-7259 or 7152.

Class times MR 12:00-1:15, W 1:00-1:50

Office Hours: MR 3-4 PM. W 4-5, By appointment at other times, just ask by email or drop by.

Text Book: Multivariable Calculus, Briggs & Cochran with MyMathLab

Intermediate Calculus

Course Description: Algebraic and geometric aspects of vectors, functions of several variables, partial derivatives and multiple integrals, vector calculus, line integrals, Green’s Theorem. Prerequisite: A grade of C or better in MATH 186 or MATH 156

Note: We will use MAPLE or other appropriate technology to facilitate visualization and to solve problems involving modeling with functions of several variables, as time permits.

Course Learning Outcomes

By the conclusion of this course, the student will be able to:

  • Use and interpret vector operations in 2 and 3 dimensions.

  • Find the equations of lines and planes in 3-dimensional space.

  • Recognize the basic quadric surfaces.

  • Understand and work with functions of several variables.

  • Use partial derivatives to find directional derivatives and gradients.

  • Solve optimization and approximation problems in higher dimensions.

  • Calculate and apply double integrals in rectangular and polar coordinates.

  • Use triple integrals in rectangular, cylindrical, and spherical coordinates.

  • Differentiate and integrate vector-valued functions

  • Parameterize curves and evaluate line integrals.

  • Understand and apply Green’s Theorem.

Grading Policy:

There will be four in-class examinations, a collection of quizzes, a mandatory final examination, and a collection of homework and computer projects. The in-class examinations will usually be on every third Thursday, see tenative course schedule. The final grade will be calculated in the following way:

In-class examinations - 60%

Final examination - 25%

Homework, and quizzes and computer projects - 15%

Grading Standard

A > 91, A- 89 – 91, B+ 85 – 88, B 80 – 84, B- 77 – 79, C+ 74 – 76,

C 66 – 73, D 56 – 65, F < 56.

Tips for Success:

  • come to class regularly;

  • take a good set of notes;

  • do the homework regularly;

- if needed, get help quickly (see me or the Center for Academic Success or the tutors from the math honor society).

Please note the College’s Policies on Attendance and Academic Integrity(below). Submit only work that you have completed by yourself. Work that does not meet this standard will be graded 0.

Homework and MyMathLab : I will assign on-line homework associated with each class period via the Pearson MyMathLab system. Each assignment will consist of 10-15 problems. Stay current, and use the homework as a learning experience.


Students are required to attend all classroom sessions. Students are expected to arrive at classes on time and to have a scientific calculator for class work. It is the responsibility of the students to notify the instructor if they will miss class.

The college has the following attendance policy: All absences from any class period or activity including a laboratory session are considered unexcused absences unless the student completes and submits a Request for Excused Absence Form that is ultimately approved. After four unexcused absences, the dean of the school in which the student is matriculated shall be notified and the student shall attend an interview to discuss his or her excessive absences. As a result, the student may be referred for counseling, be advised to withdraw from the course, and/or receive a letter or warning if the student’s scholastic record is jeopardized. Students cannot expect that any makeup tests, quizzes or laboratories will be provided and may incur an appropriate grade penalty for such absences, excused or unexcused. Reasonable accommodations for excused absences are encouraged but are solely at the discretion of the faculty member.


Academic integrity should be reflected in all aspects of student work: Examinations, projects and homework submitted in fulfillment of course requirements must be the student’s work. All types of academic fraud, the illicit giving and receiving of information on tests, and plagiarism are all forms of cheating. The use of any electronic devices (cell phones, etc.) in class, especially during tests will not be allowed.