AEB 350
Text:
Calculus by Varberg, Purcell, and Rigdon,
Instructor:
Paul Roberts
Office: JWB 318
Office Hours:
MWF 1:00--2:00 and by appointment
Phone: 581-7556
E-mail: roberts@math.utah.edu
Prerequisites:
Math 1210 and 1220 or the equivalent; that is, first year Calculus.
Course Description:
This course is an introduction to vector and multi-dimensional Calculus. It begins with the study of curves and vectors in two and three dimensions. We will then study differentiation and integration in two or more variables. The course ends with line and surface integrals and Green's and Stokes' Theorems.
The material covers Chapters 13 through 17 of the text.
Grading:
There will be four in-class midterms, a comprehensive final exam, and webwork. The midterms are listed on the schedule. The highest three midterm scores (that is, the lowest midterm grade will be dropped) will count for 50% of your grade, the final exam will count for 25%, and WebWork (see the next paragraph) will count for 25%.
Webwork:
There will be weekly web-based homework assignments, using the program WebWork. You can try a problem as many times as you like, and you can find out whether the answer is correct. It will be possible to work on the assignment until a certain time each week; at that point you will be given credit for the problems you have done correctly. There will be a demonstration of WebWork during the first week of the course where you can ask questions about it.
I will also hand out lists of problems for discussion taken from the text. These problems are not to be handed in but will be discussed in class.
Tutoring and Help Sessions:
The Math Department Tutoring Center has free drop-in tutoring for this class. The tutoring center is located in room 155 of the Rushing Student Center (adjacent to LCB and JWB). Tutors are available all the hours that the tutoring center is open. The Tutoring Center is closed on weekends and University Holidays. If you have any questions or comments, please contact Angie Gardiner, at 585-9478. For more information see http://www.math.utah.edu/ugrad/tutoring.html.
Withdrawal Policy:
Up through January 17, you can drop the course without penalty or permission. From January 18 until March 2, you may withdraw from the course without permission but will receive a grade of W on your transcript. After March 2 withdrawals will be permitted only under exceptional circumstances. For more details see the class schedule.
ADA Statement: The Americans with Disabilities Act requires that reasonable accomodation be provided for students with physical, sensory, cognitive, systemic, learning, and psychiatric disabilities. Please contact me at the beginning of the quarter to discuss any such accomodations for this course.
The dates for midterms are fixed, the rest is subject to change.
M Jan 8 13.1: Parametric Representation of Curves
W Jan 10 13.2,3: Vectors
F Jan 12 13.4: Curvilinear Motion
M Jan 15 Holiday: Martin Luther King Jr. Day
W Jan 17 13.5: Acceleration and Curvature
F Jan 19 14.1,2: Cartesian Coordinates and Vectors in Space
M Jan 22 14.3 The Cross Product
W Jan 24 14.4: Lines and Curves in Space
F Jan 26 14.5: Velocity and Acceleration
M Jan 29 Review
W Jan 31 First Midterm
F Feb 2 14.6: Surfaces in Space
M Feb 5 14.7: Cylindrical and Spherical Coordinates
W Feb 7 15.1,2: Partial Differentiation
F Feb 9 15.3,4: Differentiability
M Feb 12 15.5: Directional Derivatives and Gradients
W Feb 14 15.6: The Chain Rule
F Feb 16 15.7: Tangent Planes
M Feb 19 Holiday: President's Day
W Feb 21 Review
F Feb 23 Second Midterm
M Feb 26 15.8: Maxima and Minima
W Feb 28 15.9: Lagrange Multipliers
F Mar 2 16.1,2: Double and Iterated Integrals over Rectangles
M Mar 5 16.3: Double and Iterated Integrals
W Mar 7 16.4: Polar Coordinates
F Mar 9 16.5: Applications of Double Integrals
M Mar 12 Review
W Mar 14 Third Midterm
F Mar 16 16.6: Surface Area
M Mar 19
W Mar 21 SPRING BREAK
F Mar 23
M Mar 26 16.7: Triple Integrals
W Mar 28 16.8: Cylindrical and Spherical Coordinates
F Mar 30 17.1: Vector Fields
M Apr 2 17.2: Line Integrals
W Apr 4 17.3: Independence of Path
F Apr 6 17.4: Green's Theorem in the Plane
M Apr 9 17.5: Surface Integrals
W Apr 11 17.6; Divergence Theorem
F Apr 13 17.7: Stokes' Theorem
M Apr 16 Review
W Apr 18 Fourth Midterm
F Apr 20 17.7 Stokes' Theorem
M Apr 23 Review
W Apr 25 Review: last day of classes
Final Exam: Thursday, May 3, 10:30 a.m.-- 12:30 p.m.