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Syllabus Revision 11-06-12
MATH 292: Calculus and Analytic Geometry III Fall 2012
Reference Number: 1592
Meeting Time: M 11-11:50; W 11-11:50; Th 11-12:50 Instructor: Dr. Sandra Caravella Office: K536 (In Math Dept, K506) Email: scaravella@njcu.edu Phone: 201-200-3348 Web: http://faculty.njcu.edu/scaravella
Office
Hours: M 12-12:50; W 12-12:50, 3-3:50, 6-6:50; Th 1-1:50
Required Textbook:
Calculus, 9th edition, by Ron Larson, Robert P.
Hostetler, and Bruce H. Edwards.
Published by Cengage Learning (Houghton Mifflin), 2006. ISBN-13: 978-1-111-48281-7; ISBN-10: 1-111-48281-0 Required Calculator: Texas Instruments TI-82, 83, 83 Plus, 84, or 84 Plus graphing calculator. Other graphing calculators may be acceptable; however, the instructor may not be able to help you operate them. Course Description Credits: 4 This course (with MATH 192 and MATH 193) is part of a 12-credit sequence in calculus. Topics include polar coordinates and parametric equations, three-dimensional space, vectors, vector valued functions, partial derivatives, multiple integrals, and topics in vector calculus. Prerequisite: Math 193 Calculus and Analytic Geometry II or equivalent Course Objectives Students will be able to: · Use the basic concepts of calculus and employ the accompanying mathematical techniques and procedures to complete routine exercises involving multivariable and vector calculus. · Apply the concepts of multivariable and vector calculus to solve a variety of practical problems. · Reason logically and demonstrate the transference of mathematical concepts from one situation to another.
·
Clearly express
mathematical concepts and solutions in writing.
Determination of Grade--Please see Syllabus Revision 11-06-12
There will be a collected homework assignment almost every week, 3 tests, and a
cumulative final exam.
The lowest test grade will be dropped.
Your final average will be determined by the following point system:
If higher, your final exam score will replace the lowest of your 2 best test scores or your homework grade (appropriately scaled).
Your final average is determined by adding together all your points,
dividing by 340, and converting the decimal to a percent. Your final
grade is determined by applying the following grade scale to your final
average. Attendance Policy Requests for "excused" absences must be made IN WRITING (by note or email) and must include the date of the absence and the reason. Any homework due on the date of the excused absence will be due the next time the class meets. However, any absence on the date of a test is subject to the Test Make Up Policy below, whether it's "excused" or not.Homework Grade and Policy
There will be 12 homework assignments each worth 4 points. The lowest two homework grades will be dropped for a total of 40 possible points.
Homework will be due on the Wed of the
week after it is assigned.
For full credit, homework must be submitted on or before its
due date. Your grade for homework that is submitted late will be reduced by one-half a point for each calendar day that it is late.
The only exception to this policy will be for "excused" absences (see Attendance Grade Policy above).
If you miss class and don't know the assignment, please check my website; if the assignment is not posted there, then email me, phone me, or see me, and I will give it to you. Homework may be submitted to me in or out of class, left in my mail slot, slid under my office door (see the Math Dept. Secretary in K506 for assistance), or emailed to me.
Test Make Up Policy If you are absent on the date of a test, you must contact me (by email, phone/voice mail, note, or in person) as soon as possible to explain why you were absent and to request permission to make up the test. This permission is not automatic, and you should be aware that the make up test may be more difficult than the original. In all cases, a test must be made up within one week of your return to class.
Important Dates (as revised 11-06-12)
Test 1: Wed, Oct 10
Test 2: Wed, Nov 21
Final Exam: Thu, Dec 20, 11-1 Course Content Topics include: Conics, parametric equations, polar coordinates, vectors in the plane and in space, operations with vectors, lines and planes in space, surfaces in space, cylindrical and spherical coordinates, definition and graphs of vector-valued functions, differentiation and integration of vector-valued functions, velocity and acceleration, tangent vectors and normal vectors, arc length and curvature, definition and graphs of functions of several variables, limits and continuity of functions of several variables, partial derivatives, differentials and chain rules for functions of several variables, directional derivatives and gradients, tangent planes and normal lines, extrema of functions of 2 variables and applications, Lagrange multipliers, iterated integrals and area in the plane, double integrals and volume, double integrals in polar coordinates, surface area, triple integrals, triple integrals in cylindrical and spherical coordinates, change of variables and the Jacobian, vector fields, and line integrals. |
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