Multivariate Calculus – Math 3404
Syllabus for Spring 2007
Professor: Dr. Jennifer McLoud
Office: HPR 109
Phone: 903-565-5625
Email: jmcloud@uttyler.edu
Webpage: http://math.uttyler.edu/jmcloud
Office Hours:
I will be in my office from 10:00-10:50 MWF and 11:00-11:50 TR barring an emergency. I have an open door policy with my students. That is, if my door is open, then come on in and if it is closed, then I am probably busy so check back later. Mornings are best to meet with me if I am not in class. Afternoons will be used for my personal research time, however, appointments can be made if you are not able to make it to my regular office hours, just let me know.
Prerequisites: Math 2414
Text: Calculus Early Transcendentals (Eighth Edition) by Anton, Bivens, and Davis
Exploring Multivariate Calculus using Mathematica by Casey Mann
Course Description: Vector calculus in Euclidean n-space, functions of several variables, partial differentiation and multiple integration.
Course Material: The following is a detailed list of the topics that will be covered this semester.
Chapter 12: Three-Dimensional Space; Vectors
12.1 Rectangular Coordinates in 3-space; Spheres; Cylindrical Surfaces
12.2 Vectors
12.3 Dot Product; Projections
12.4 Cross Product
12.5 Parametric Equations of Lines
12.6 Planes in 3-space
12.7 Quadric Surfaces
12.8 Cylindrical and Spherical Coordinates
Chapter 13: Vector-Valued Functions
13.1 Introduction to Vector-Valued Functions
13.2 Calculus of Vector-Valued Functions
13.3 Change of Parameter; Arc Length
13.4 Unit Tangent, Normal, and Binormal Vectors
13.5 Curvature
13.6 Motion Along a Curve
Chapter 14: Partial Derivatives
14.1 Functions of Two or More Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Differentiability, Differentials, and Local Linearity
14.5 The Chain Rule
14.6 Directional Derivatives and Gradients
14.7 Tangent Planes and Normal Vectors
14.8 Maxima and Minima of Functions of Two Variables
Chapter 15: Multiple Integrals
15.1 Double Integrals
15.2 Double Integrals over Nonrectangular Regions
15.3 Double Integrals over Polar Coordinates
15.4 Parametric Surfaces; Surface Area
15.5 Triple Integrals
15.6 Centroid, Center of Gravity, Theorem of Pappus
15.7 Triple Integrals in Cylindrical and Spherical Coordinates
15.8 Change of Variables in Multiple Integrals; Jacobians
Important Dates:
Monday, March 12 thru Friday, March 16 – Spring Break
Thursday, March 29 – Last Day to Drop with an Automatic “W”
Friday, May 11 – Comprehensive Final Exam
Blackboard Setup:
This semester almost all of your grades, assignments, and handouts will be posted on Blackboard. You will need to enroll in this course on your blackboard account. Go to the UT Tyler website, click on the Blackboard link, and then follow the instructions. If you have a difficult time, then come to my office and I will make sure that you get into the system.
Evaluation:
· Homework and Quizzes (20% of grade) – Homework will be taken up on a daily basis. You are encouraged to share ideas on your homework through conversations but word-for-word copying is strictly prohibited.
· Lab Assignments (25% of grade) -- All students will meet weekly at an additional lab time for this course. Your TA for the calculus lab this semester will be Jared Painter. You will get specifics on your lab assignments, hand-in procedures, etc. on the first day of labs. A substantial part of this course involves computer assignments done on the computer using Mathematica. The purposes of these computer assignments are to reinforce what you've learned in lecture, allow you to experiment with the concepts discussed in lecture, and to expose you to a scientific computing environment widely used in industry and research.
· Exams (35% of grade) – There will be three in-class exams. Exams will be announced at least one week in advance.
· Final Exam (20% of grade) -- The comprehensive final exam will be held on Friday, May 11 from 10:15 a.m. -12:15 p.m.
Make-ups: If you know that you will be absent, then turn in your homework assignment early. Otherwise a homework assignment turned in before the next class time will be given half credit. After the next class period you will receive a zero. Athletes and other students involved in extensive university activities should schedule a meeting in my office during the first two weeks of class to discuss this further.
ADA Compliance:
If you have a disability, including a learning disability, for which you request disability support services/accommodation, please contact Ida MacDonald in the Disability Support Services office so that the appropriate arrangements may be made. In accordance with federal law, a student requesting disability support services/accommodation must provide documentation of his/her disability to the Disability Support Services counselor. For more information, call or visit the Student Services Office located in the University Center, Room 282. The telephone number is 566-7079 (TDD 565-5579).
Social Security Statement:
It is the policy of The University of Texas at Tyler to protect the confidential nature of social security numbers. The University has changed its computer programming so that all students have an identification number.
Note Regarding Student Absence Due to Religious Observance:
Students who anticipate being absent from class due to a religious observance are requested to inform the instructor by the second class meeting of such absences.
Grade Replacement:
If you are repeating this course for a grade replacement, you must file an intent to receive grade forgiveness with the registrar by the 12th day of class. Failure to file an intent to use grade forgiveness will result in both the original and repeated grade being used to calculate your overall grade point average. A student will receive grade forgiveness (grade replacement) for only three (undergraduate student) or two (graduate student) course repeats during his/her career at UT Tyler. (2006-2008 Catalog, p. 35)