Peter B Gilkey
202 Deady Hall,1-541-346-4717 (office phone) 1-541-346-0987 (fax) email: gilkey@uoregon.edu
Mathematics Department, University of Oregon, Eugene Oregon 97403 USA

Math 281 Fall 2013 CRN 14656 at 08:00 and CRN 14657 at 1400 in 307 Deady

Syllabus - version 3 as of 6 October 2013

  • Office Hours:  Monday, Wednesday, Friday 09:00-09:50 or by appointment
  • Meets 08:00-08:50 307 Deady (CRN 14656) or 1400-1450 307 Deady (CRN 14657) Monday, Tuesday, Wednesday, Friday
  • Text: MultiVariable Calculus by James Stewart (Thomson Brooks/Cole) is the textbook. The 5th edition, the 6th edition, and the 7th edition are all equally acceptable for this course and previous editions can perhaps be obtained more cheaply on the web. Homeworks will be graded using WEBWORKS and the problems will not be specific to the particular edition used -- your account will probably not be active until sometime in September 2013. You will login with your regular UO credentials (the same username and password as your UO email). The connection to the webwork server is now secure (https) so it is OK to be typing your real password to authenticate. CRN 14656 0800 section or CRN 14657 1400 section
  • Webworks is having problems. The temporary location is http://184.171.72.172/webwork2/Math281-14656 for CRN 14656 0800 section and http://184.171.72.172/webwork2/Math281-14657 for CRN 14657 1400 section. The login procedure seems to be different; follow the directions on the screen.
  • Organization. Homework is probably the most important activity in the course in terms of helping you internalize the material. Homework will be due each Tuesday on the material of the previous week. The Monday class period will be a discussion section for the homework to be due the subsequent day by 0800 - there will be a quiz the last 20 minutes of class most Monday's.
  • Homework: The homework will be assigned and graded using WEBWORKS. It is due at 0800 PST Tuesday morning following the week for which it was assigned. More details will be available presently.
  • If you are a student with a documented disability please meet with me soon to discuss your needs. If you have not already requested a notification letter from Disability Services outlining recommended accommodations, please do so soon.
  • Grades:
  • 100 points Homework and Quiz Average (The 2 lowest scores from the combined list of HW and QZ scores will be dropped)
  • 100 points Exam #1 Wednesday 23 October 2013 (Week 4)
  • 100 points Exam #2 Wednesday 20 November 2013 (Week 8)
  • 200 points Final Exam 10:15 Friday, December 13 (8AM section), 15:15 Thursday, December 12 (1400 Section). According to faculty legislation, final exams may not be given early under any circumstances
  • An incomplete can be assigned when the quality of work is satisfactory but a minor yet essential requirement of the course has not been completed for reasons acceptable to the instructor (NOTE: this grade requires a contract to be completed). Your final grade will be assigned on the basis of the total point score of 500 points. Any student getting at least a B on the final will receive at least a C- in the course; no student can pass the course unless they receive a grade of D or better on the final exam. You must bring your photo ID to all exams. You may bring a 3x5 inch index card with any formulas on it to any exam or quiz if you wish. Similarly, you may bring with you a hand held graphing calculator to any exam or quiz if you wish.
  • Teaching Associate: Ekaterina Puffini
  • See Academic Calendar

    Reading and homework Assignments

  • Course objective: Understand the geometry of space (cross product, dot product, projection formula, equations of lines and planes), understand the basic quadratic surfaces (paraboloids, hyperboloids of one sheet, hyperboloids of two sheets, ellipsoids, cylinders), be able to compute partial derivatives, obtain the best linear approximation, determine the tangent plane. Students should be able to compute with and apply the chain rule, compute directional derivatives, and understand Taylor and Maclaurin series. Students should understand the geometry of the gradient - the gradient points in the direction of maximal increase and minus the gradient points in the direction of maximal decrease - at a local minima or maxima the gradient vanishes (i.e. the function has a critical point). Students should be able to apply the second derivative test (Hessian) to find label a critical point as a local minima, local maxima, saddle point, etc. Students should be able to solve problems involving the methods of LaGrange multipliers to find local minima and maxima of functions subject to constraints.
  • Learning outcomes: Students should be able to compute the cross product and the dot product of vectors in space, to determine the projection of a vector on a line, to determine the equations of lines and planes, and to be able to recognize, distinguish between, and graph the basic quadratic surfaces (paraboloids, hyperboloids of one sheet, hyperboloids of two sheets, ellipsoids, cylinders). They should be able to compute partial derivatives, obtain the best linear approximation, and to determine the tangent plane. Students should be able to compute with and demonstrate understanding of the chain rule, to compute directional derivatives, and demonstrate understanding of and compute specific examples of Taylor and Maclaurin series. Students should be able to demonstrate understanding of the geometry of the gradient - the gradient points in the direction of maximal increase and minus the gradient points in the direction of maximal decrease - at a local minima or maxima the gradient vanishes (i.e. the function has a critical point). Students should be able to apply the second derivative test (Hessian) to find label a critical point as a local minima, local maxima, saddle point, etc. Students should be able to solve problems involving the methods of LaGrange multipliers to find local minima and maxima of functions subject to constraints.

    Mathematics Department Undergraduate Grading Standards (November 2011). There are two important issues that this grading policy recognizes.

    1. Mathematics is hierarchical. A student who is given a grade of C- or higher in a course must have mastery of that material that allows the possibility of succeeding in courses for which that course is a prerequisite.
    2. Some mathematics courses are primarily concerned with techniques and applications. In such courses student success is measured by the student's ability to model, successfully apply the relevant technique, and bring the calculation to a correct conclusion. The department's 100-level courses and most calculus courses are examples in this category although these are not the only examples.
    Rubric for Math 281: Modeling, in mathematical education parlance, means the process of taking a problem which is not expressed mathematically and expressing it mathematically (typically as an equation or a set of equations). This is usually followed by solving the relevant equation or equations and interpreting the answer in terms of the original problem.

    Detailed interpretation of the rubrics depends on the content and level of the course and will be at the discretion of instructors. Whether to award grades of A+ is at the discretion of instructors.


    Academic dishonesty

    Academic Misconduct: The University Student Conduct Code (available at conduct.uoregon.edu) defines academic misconduct. Students are prohibited from committing or attempting to commit any act that constitutes academic misconduct. By way of example, students should not give or receive (or attempt to give or receive) unauthorized help on assignments or examinations without express permission from the instructor. Students should properly acknowledge and document all sources of information (e.g. quotations, paraphrases, ideas) and use only the sources and resources authorized by the instructor. If there is any question about whether an act constitutes academic misconduct, it is the studentsŐ obligation to clarify the question with the instructor before committing or attempting to commit the act. Additional information about a common form of academic misconduct, plagiarism, is available at http://library.uoregon.edu/guides/plagiarism/students/index.html see also http://uodos.uoregon.edu/StudentConductandCommunityStandards/AcademicMisconduct/tabid/248/Default.aspx.

    Title IX

    Under Title IX, I have a duty to report relevant information. The UO is committed to providing an environment free of all forms of prohibited discrimination and sexual harassment, including sexual assault, domestic and dating violence and gender-based stalking. Any UO employee who becomes aware that such behavior is occurring has a duty to report that information to their supervisor or the Office of Affirmative Action and Equal Opportunity. The University Health Center and University Counseling and Testing Center can provide assistance and have a greater ability to work confidentially with students. Note: UO employees also have a duty to report child abuse. For those classes and/or processes in which students have historically reported information regarding child abuse, the language can be expanded to provide that notice as well by adding the following statement: All UO employees are required to report to appropriate authorities when they have reasonable cause to believe that any child with whom they come in contact has suffered abuse or any person with whom they come in contact has abused a child.


    To rest on the blue of the day, like an eagle rests on the wind, over the cold range, confident on its wings and its breadth.

    Web page spun on 6 October 2013 by Peter B Gilkey 202 Deady Hall, Department of Mathematics at the University of Oregon, Eugene OR 97403-1222, U.S.A. Phone 1-541-346-4717 Email:peter.gilkey.cc.67@aya.yale.edu of Deady Spider Enterprises