MTH281 – Multivariable Calculus Fall 2001 
                    
                   Instructor: Dr. Barbara Haas Margolius, RT1506, 687-4682,  
                   margolius@math.csuohio.edu
                    http://academic.csuohio.edu/bmargolius/homepage/courses/mth281/mth281.htm
                   Office Hours: 
                   Monday 1:30 - 3:00,  Wednesday 9:40 - 11:00  
                   Friday 9:40 - 11:00 
                    
                   or by appointment 
                    
                   Classroom: MC326 
                    
                   Text:  Calculus a Complete Course, 2nd Ed., Finney, Demana, Waits, Kennedy
                                                                                                     
                    
                   Course Content:  
                    
                   Grading Policy:                    94-100 A 
                      90-93 A- 
                      87-89 B+ 
                                                     Letter grades are assigned according to the following policy:    83-86      B 
                                                                                                                      80-82      B- 
                   Homework (WeBWorK, Labs                                                                            77-79      C+ 
                   and other assignments): 40% 
                   Tests: 36%                                                                                         70-76      C 
                                                                                                                      65-69      D 
                   Final Exam: 24%                                                                                    0-64       F 
                    
                   WeBWorK  Homework:  Students are expected to read the relevant portion of the text before the class covering those 
                   sections.  Homework is 40% of the course grade.  Some homework assignments are distributed over the web via a 
                   program called WeBWorK that was developed at the University of Rochester.  Each student must print his or her 
                   assignment, work out the answers and then submit them over the web.  Unlimited attempts are permitted on all 
                   homework problems except true false and multiple choice questions.  Homework is graded online as each problem is 
                   submitted, so students may correct their errors up until the time the homework is due. Homework assignments are 
                   individualized.  All students are assigned the same type of problems, but the problems themselves are different.  
                   Students are encouraged to work together on assignments; however, each student must submit a solution to his or her 
                   own homework assignment.  Students may seek assistance on homework problems from each other, or from the 
                   instructor.  Other assignments independent of WeBWorK will occasionally be required.  These will generally be in the 
                   form of computer labs. 
                    
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                   Computer labs:  Class will meet Mondays and Wednesdays in the computer lab on the 15  floor of Rhodes Tower.  
                   We will use computers extensively in this class.  Some of this computer work will be turned in for a grade.  Students 
                   may work in groups on computer assignments unless otherwise directed in class.  A single assignment is turned in for 
                   each group. 
                    
                   Tests:  There are three in-class tests.  Each test is worth 12% of course credit.  Tests are comprehensive although the 
                   primary emphasis will be on the material covered since the last test.    
                    
                   Final: The final exam is comprehensive and constitutes 24% of the grade in the course.  Students must pass the final to 
                   pass the course. 
                    
                   Web access to course:  Each student has a WeBWorKs account.  For this account, the userid is all in lowercase 
                   lastnamefirstinitial, and the password is the seven digit student id.  John Doe, for example, might have the userid:  doej.  
                   The internet addresses of the course are given below.
                Schedule: Below is a schedule for the semester.  The schedule is intended as a guideline.  We may be ahead or behind 
                the schedule at various times during the semester. Additional information about the class schedule, assignments and 
                course materials will be posted on the class website: 
                http://academic.csuohio.edu/bmargolius/courses/mth281/mth281.htm.   The homework URL 
                for WeBWorK problems can be accessed through the website referenced above or directly at 
                http://webwork2.math.rochester.edu/csu-mth223/. 
                    Chapter/                                                                              
                    Section Topic                                                                         Date 
                    11.1 Cartesian (Rectangular) Coordinates and Vectors in Space                            8/27/01
                    11.2 Dot Products                                                                        8/29/01
                    11.3 Cross Products                                                                      8/31/01
                    No Class    Labor Day 9/03/01
                    11.3 Cross Products                                                                      9/05/01
                    11.4        Line and Space Curves                                                        9/07/01
                    11.5 Cylinders and Cylindrical Coordinates                                               9/10/01
                    12.1 Vector-valued functions and space curves                                            9/12/01
                    12.2 Arc length and the unit tangent vector T                                            9/14/01
                    12.3 Curvature, Torsion, and the TNB frame 9/17/01
                    12.3 Curvature, Torsion, and the TNB frame 9/19/01
                    Test 1      Test                                                                         9/21/01
                    13.1        Functions of several variables                                               9/24/01
                    13.2        Limits and continuity in higher dimensions                                   9/26/01
                    13.2        Limits and continuity in higher dimensions                                   9/28/01
                    13.3 Partial Derivatives                                                                10/01/01
                    13.4 Differentiability, Linearization and Differentials                                 10/03/01
                    13.4 Differentiability, Linearization and Differentials                                 10/05/01
                    No Class    Columbus Day 10/08/01
                    13.5        The Chain Rule                                                              10/10/01
                    13.6 Directional Derivatives, Gradient Vectors and Tangent Planes                       10/12/01
                    13.6 Directional Derivatives, Gradient Vectors and Tangent Planes                       10/15/01
                    13.7        Extreme Values and Saddle Points                                            10/17/01
                    Test 2      Test                                                                        10/19/01
                    13.7        Extreme Values and Saddle Points                                            10/22/01
                    13.8 Lagrange Multipliers 10/24/01
                    14.1 Double Integrals 10/26/01
                    14.1 Double Integrals 10/29/01
                    14.2 Areas, Moments, and Centers of Mass                                                10/31/01
                    14.3 Double integrals in polar form                                                     11/02/01
                    14.3 Double integrals in polar form                                                     11/05/01
                    14.4 Triple Integrals in Rectangular Coordinates                                        11/07/01
                    14.5        Masses and Moments in three dimensions                                      11/09/01
                    No Class    Veteran's Day 11/12/01
                    15.1 Line Integrals 11/14/01
                    15.1        Line Integrals                                                              11/16/01
                    Test 3      Test                                                                        11/19/01
                    15.2 Vector Fields, Work, Circulation, and Flux                                         11/21/01
                    No Class    Thanksgiving Recess                                                         11/23/01
                    15.2 Vector Fields, Work, Circulation, and Flux                                         11/26/01
                    15.3 Path independence, potential functions and conservation fields                     11/28/01
                    15.4        Green's Theorem in the Plane                                                11/30/01
                    15.4        Green's Theorem in the Plane                                                12/03/01
                    15.5        Surface Area and Surface Integrals                                          12/05/01
                    Review      Comprehensive Final                                                         12/07/01
                    No Class    Reading Days 12/8-12/9
                    Final       Final Exam        1:00-3:00                                                 12/10/01
                Other Requirements:  All cellular telephones and pagers must be turned off during class.