Roger L. Kraft

Syllabus
MA 26100
Multivariate Calculus
Spring, 2015

Professor Roger Kraft
Office: Classroom Office Building, Room 368
Office phone: (219) 989-2696
Office hours: 2:00--4:00 MW, after class, and by appointment.
E-mail: roger@purduecal.edu

Text: Calculus, Early Transcendentals, by Varberg, Purcell, and Rigdon, Pearson Prentice Hall, 2007.

Prerequisites: MA 16400 with C- or better, or consent of the instructor.

MA 26100 is a 4 credit hour, third course in calculus for students majoring in mathematics, engineering, chemistry, and physics. Topics include vectors, partial differentiation, double and triple integrals, line integrals, and vector calculus.

This course will cover chapters 11 through 14 of the calculus textbook. Your grade for this course will be based on weekly quizzes, three midterm exams, and a cumulative final exam in the following manner:

           25%    weekly quizzes,
           45%    three midterm exams (15% per exam),
           30%    final exam.

Tentative dates for the exams are

           Exam 1   Wednesday, February 4
           Exam 2   Wednesday, March 4
           Exam 3   Wednesday, April 8
           Final    Final exam week.

Each quiz will either be 15 minutes long and be held during class on Wednesday, or it will be a take home quiz handed out on Wednesday and due on Monday. Each student is responsible for doing their own work on the take home quizzes. There will be no makeup quizzes for the in-class quizzes and each take home quiz will only be accepted on the Monday when it is due. However, your lowest two quiz scores will be dropped.

There will be homework problems assigned in class each day but the homework will not be collected. However, the quizzes will be closely based on the assigned homework problems and so the best way to prepare for each quiz is to do the homework.

Regular attendance is crucial to successful completion of this course. Students who miss class are responsible for content covered and for any information given out to the class. Failure to come to class can result in a lower grade.

The final grades for this course will use a plus and minus grading system. The possible grades for this course, and a tentative grading scale for the grades, is given in the table below. The final grading scale that I use may not quite be the same as the one given below (the grade cutoffs might possibly be lower, but they will not be any higher than what is given in this table).

A93 - 100
A-90 - 92
B+88 - 89
B83 - 87
B-80 - 82
C+78 - 79
C70 - 77
D+68 - 69
D63 - 67
D-60 - 62
F59 or less

In this web site you will find more information about Calculus 3 and this course. There are links to online multivariate calculus references and demonstration programs and all of your homework and reading assignments will be posted on one of these web pages.

The objectives for this course are that upon completion the student should:

  1. Students will understand algebraic and geometric operations on vectors.
  2. Students will have facility with finding equations of lines and planes in R3.
  3. Students will have facility with calculating and interpreting partial derivatives, directional derivatives, and gradients.
  4. Students will have facility in calculating double and triple integrals in rectangular, polar, cylindrical, and spherical coordinates along with converting them from one coordinate system to another.
  5. Students will have facility with applications of the definite integral including area, volume, and center of mass.
  6. Students will be able to parameterize curves and compute line integrals.
  7. Students will have facility in computing divergence and curl of a vector field.
  8. Students will be able to apply Green’s Theorem.
  9. Students will be able to write a more mature mathematical justification.

Students who may need accommodations due to disability should contact the Office of Disability Resources (ODR) to discuss specific needs. The ODR is located on the third floor of the Student Union & Library Building, Room 341. If accommodations for a student are approved by that office, the student must provide his/her instructor with a copy of the official accommodations letter as soon as it is received in order to obtain accommodations. Students may contact the Office of Disability Resources by calling (219) 989-2455 or emailing odr@purduecal.edu.

Ethics are an integral part of being a student and a professional. Academic integrity is the hallmark of this University. Therefore, Purdue University does not tolerate academic dishonesty in any form. If a student breaches integrity, the student risks sanctions in both the academic and conduct arenas. Academic dishonesty includes, but is not limited to, the unauthorized use of other's intellectual property (plagiarism), and lying to an instructor or any University employee. Such actions WILL result in a failing grade on the assignment with the strong possibility of referral to the Office of the Dean of Students for a conduct sanction (see the Purdue University Calumet Student Handbook available from the Dean of Students office).

An information sheet, with instructions for various types of possible emergencies, is posted in each room on campus. These possibilities include criminal activity, fire, medical emergencies, and noises sounding like gunshots. Students are strongly encouraged to review this instruction sheet carefully and acquaint themselves with these important guidelines.