Sample Syllabus for MATH 2414: Calculus II

Text: Calculus: Early Transcendental, Eighth Edition, by Anton, Bivens, and Davis
ISBN: 0471472441

Catalog Description

The course description for MATH 2414 Calculus II may be found in the online Catalog and also in the print edition of the Brookhaven College 2004-2006 Catalog on page 232. Page 163 of the print catalog also has a graphic showing how to read the course description information.

Course Objectives

1. Perform integration using various techniques including parts, trigonometric substitution, partial fractions and integral tables. (*CCIC #5)
2. Evaluate limits in indeterminate form using L’Hôpital’s Rule and use limits to evaluate improper integrals.
3. Write an expression for the nth term of a sequence and determine if the sequence converges or diverges.
4. Determine whether a given series converges/diverges using various series tests including the nth term test for divergence, integral test, direct comparison/limit comparison test, ratio test, root test and alternate series test. (CCIC #5)
5. Find the Taylor/Maclaurin polynomial for a given function and use it to approximate a function’s value, find a power series for a given function and determine its interval of convergence.
6. Sketch, differentiate and integrate: (CCIC #5)
   1. Parametrically-expressed functions to find tangent lines, horizontal tangents, arc length and surface areas.
   2. Polar functions r = f(θ) to find tangent lines, area of polar regions, arc length and surface area.
7. Perform operations on plane and space vectors including dot products and cross products.
8. Find the equation of lines/planes in space and identify/sketch surfaces. (CCIC #5)
9. Convert points and equations between the rectangular, cylindrical and spherical coordinate systems.

*MATH 2414 will include the following Core Curriculum Intellectual Competency, CCIC:

• CCIC #5 – Critical Thinking – think and analyze at a critical level.

Room Assignment

The room assignment for the course may be found in the Credit Course Schedule and also is printed on the paid fee receipt. For special help, students are encouraged to come to the Math Lab, Building K, Room K137. Lab hours are posted on the door of the Math Lab.

Attendance

Students are expected to attend regularly all classes in which they are enrolled and to consult with the instructor when an absence occurs. If a student is unable to complete a course, it is the responsibility of the student to drop the course by the drop date listed in the academic calendar. Dropping a course is a formal procedure which the student must initiate; the instructor cannot do it. The Admissions Office processes adding and dropping of courses. The Admissions Office is located in the Student Services Center, Building S, Room S052.

Students who officially drop this course or withdraw from the college before the deadline will receive a “W” grade in this course. If a student stops attending class but does not officially drop the course through the Admissions Office, the student’s transcript will show a performance grade for the course, usually an “F.”

It is DCCCD policy that before any student can enroll for a DMAT or Math course, they must have successfully completed the prerequisite course or earned an appropriate score on the Accuplacer™ Math Assessment Test. Students who assess into any Developmental Math class must complete the remainder of the DMAT sequence with at least a grade of “C” in order to enroll into college-level Math courses.

Students who will be absent from class for the observance of a religious holiday must notify the instructor in advance. Please refer to the college catalog section Attending Classes.

Evaluation Procedures

The evaluation procedures differ according to the section’s instructor.

The scale used to determine the final course grade is:

If an unforeseen emergency prevents a student from completing the work in a course, a grade of “Incomplete,” or “I,” will be given. The division dean must approve all “I” grades.

Scholastic Dishonesty Policy

Instances of scholastic dishonesty will not be tolerated. The Code of Student Conduct prohibits scholastic dishonesty. Any student violating this policy shall be subject to disciplinary sanctions including suspension from Brookhaven College.

Other

A TI-84 PLUS calculator is required for this course. However, no TI-89 or TI-92 calculators are allowed.
Cell phones are not appropriate in class.