MATH 2101. Calculus 3 (Multivariate Calculus)
Fall Semester 2010

Course Instructor : Dr. Peh Ng --

Course Time : 9:15-10:20am MWF

Course Venue : Sci 3650

OFFICE: Sci 2330

OFFICE HOURS: 10:30am - noon Mon & Fri or 1:15pm till 2:30pm Tue & Thu; or anytime by appointment. (Unless I am on the Twin Cities campus for committee meetings on alternate Wednesdays, I am either in my office, in class, or somewhere on campus from 7:00am till about 7:30pm so if you need help, stop by my office or catch me anywhere on campus.)

PHONE: 589-6318

E-MAIL: pehng@morris.umn.edu

Course Web Page: www.morris.umn.edu/~pehng/Ma2101

REQUIRED COURSE MATERIALS:
Class Notes, Handouts & Textbook: Multivariable Calculus (6th Edition) by James Stewart
To facilitate in-class discussions, it is recommended that you do some reading of the text before class.

PREREQUISITES:
up-to-date knowledge of materials from two semesters of Calculus 1 & 2, and from Algebra and Trigonometry.
Willingness to work hard, to spend at least 8 outside-class hours weekly on this course, & to think analytically.

COURSE OBJECTIVES/PURPOSES: to help students:

• to learn the concepts of multivariate functions,
• to learn the concepts of calculus in the 3 or more dimensional world,
• to learn the concepts of vector calculus and their properties,
• to be aware of the connections between multivariate calculus and other math-related courses
• to be aware of the plethora of applications of multivariate calculus within and beyond the scope of academia.

MATERIAL COVERED:

Chapter 13. Vectors and Geometry of Space .
3-D coordinate systems; vectors; the dot product; the cross product; equations of lines and planes in 3-D; cylinders and quadric surfaces.

Chapter 14. Vector Functions .
Vector functions and space curves; derivatives and integral of space functions; arc-length and curvature; ( and if time permits, then ) motion in space - velocity and acceleration.

Chapter 15. Partial Derivatives (revisited) .
Functions of several variables; limits and continuity; partial derivatives; tangent planes and differentials; the chain rule; directional derivatives and the gradient vector; maximum and minimum values; Lagrange multipliers and applications.

Chapter 16. Multiple Integrals.
Double integrals over rectangles, general regions and in polar coordinates; iterated integrals; triple integrals in rectangular, spherical and cylindrical coordinates; change in variables in multiple integrals; applications.

Chapter 17. Vector Calculus.
Vector fields; line integrals; Fundamental Theorem for line integrals; Green's Theorem; curl and divergence; parametric surfaces and their areas; surface integrals; Stoke's Theorem; the Divergence Theorem,... ( as much as time permits).

COURSE EXPECTATIONS:
You are expected to turn in your assignments/homework on a timely manner, to attend classes, to study the materials, to do well on your exams, and, to be respectful of your classmates and instructor. Please do NOT use cell phones/ipods/mp3/computers during lectures in class.

Homework:
There will be computer and written homework assigned and due on a almost daily basis. Occasionally, when time permits, students will be asked to present their work on the board to the class.

Examinations:
There will be three in-class exams throughout the semester and a comprehensive in-class final exam during finals week. All exams will be closed book/notes; any helpful information, if applicable, will be provided by the instructor.

GRADING:
Your course grade will depend on how well you perform on the following:

1. Three exams (once approximately every 4 weeks) - 100 points each.   300 points

2. Final exam (Mon Dec 14 from 8:30am till 10:30m).   200 points

3. Homework (computer via Mathematica & written) - assigned and due almost daily.   150 points

Policies on homework, and exams.

• Late assignments are NOT accepted; even if you do NOT attend class on the day that homework is due, it is YOUR responsibility to make sure assignments get turned in that day and to make sure you catch up on the material missed, including new assignments. However, if you are (provably) sick for an extended period of time, then it is your responsibility to have someone contact the instructor, and for you to make arrangements with the instructor about your assignments. Only legible and neatly written assignments will be graded.
• There will be NO make-up exams unless arrangements are made with the instructor PRIOR to the exams. PRIOR to the exams.
  
• If you are scheduled to be away from campus on University business, then it is your responsibility to inform the instructor PRIOR to your absence from class, NOT after. (These scheduled dates are usually known ahead of time.)

Course Grades

GUARANTEED GRADE	IF TOTAL PERCENTAGE x is
A	90 ≤ x ≤ 100
A-	88 ≤ x ≤ 89
B+	86 ≤ x ≤ 87
B	80 ≤ x ≤ 85
B-	78 ≤ x ≤ 79
C+	76 ≤ x ≤ 77
C	70 ≤ x ≤ 75
C-	68 ≤ x ≤ 69
D+	66 ≤ x ≤ 67
D	60 ≤ x ≤ 65
F	x ≤ 59

All-University Interpretation of Grades & Workload

A & A-: achievement that is outstanding relative to the level necessary to meet course requirements.
B, B+ & B-: achievement that is significantly above the level necessary to meet course requirements.
C, C+,C-: achievement that meets the course requirements in every respect.
D, D+: achievement that is worthy of credit even though it fails to meet fully the course requirements.
S : achievement that is satisfactory, which is equivalent to a C- or better (achievement required for an S is at the discretion of the instructor but may be no lower than a C-).
F (or N) : Represents failure (or no credit) and signifies that the work was either (1) completed but at a level of achievement that is not worthy of credit or (2) was not completed and there was no agreement between the instructor and the student that the student would be awarded an I (see also I)
I (Incomplete) Assigned at the discretion of the instructor when, due to extraordinary circumstances, e.g., hospitalization, a student is prevented from completing the work of the course on time. Requires a written agreement between instructor and student.

For undergraduate courses, one credit is defined as equivalent to an average of three hours of learning effort per week (over a full semester) necessary for an average student to achieve an average grade (of C) in the course. For example, a student taking a four credit course should expect to spend an additional eight hours a week on coursework outside the classroom.

UNIVERSITY ACADEMIC INTEGRITY and HONESTY:
Discussion of homework or assignments among students aids learning and is encouraged. However, each student is expected to submit his/her own work. No two homeworks should ever be identical on any major part. No cooperation of any kind, or use of unauthorized notes, is allowed during examinations and quizzes.
Cheating, particularly on examinations, hurts students who are honestly earning their grades by devaluing their achievements. It is every student's responsibility to help control academic honesty by reporting it to the professor whenever they see it going on.
Students who violate UMM's academic integrity and honesty code will face consequences according to University Policies which include being expelled.
Academic misconduct. Scholastic dishonesty means plagiarizing; cheating on assignments or examinations; engaging in unauthorized collaboration on academic work; taking, acquiring, or using test materials without faculty permission; submitting false or incomplete records of academic achievement; acting alone or in cooperation with another to falsify records or to obtain dishonestly grades, honors, awards, or professional endorsement; altering forging, or misusing a University academic record; or fabricating or falsifying data, research procedures, or data analysis. In this course, a student responsible for scholastic dishonesty can be assigned a penalty up to and including an "F" or "N" for the course. If you have any questions regarding the expectations for a specific assignment or exam, please ask.
Academic dishonesty in any portion of the academic work for a course shall be grounds for awarding a grade of F or N for the entire course.

Classroom Conduct :
Students are expected to interact with the instructor and other students with respect and courtesy. Students should attend every class session prepared to learn and work. Participation in class is expected, which includes both speaking up and listening. Give class your full attention while here. Complete all assignments, including the reading, in a timely fashion. Do not bring cell phones or recording equipment to class without the instructor's consent. Students whose behavior is disruptive either to the instructor or to other students will be asked to leave. Students whose behavior suggests the need for counseling or other assistance may be referred to counseling services. Students whose behavior violates the University Student Conduct Code will be subject to disciplinary action.

The University of Minnesota is committed to providing all students equal access to learning opportunities. Disability Services is the campus office that works with students who have disabilities to provide and/or arrange reasonable accommodations. Students registered with Disability Services who have a letter requesting accommodations, are encouraged to contact the instructor early in the semester. Students who have, or think they may have, a disability (e.g. psychiatric, attentional, learning, vision, hearing, physical, or systemic), are invited to contact Disability Services for a confidential discussion at 320-589-6163 or freyc@morris.umn.edu. Additional information is available at the DS web site at www.morris.umn.edu/services/dsoaac/dso

PLEASE FEEL WELCOME TO SEE ME OUTSIDE OF THE CLASS, ANY TIME, IF YOU HAVE QUESTIONS, PROBLEMS, OR COMMENTS PERTAINING THE COURSE WORK.

© 2001-2010 by Peh Ng
Last Modified Thursday, August 19, 2010
Page URL: http://www.morris.umn.edu/~pehng/Ma2101/syllabus.html


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