Homework due dates:
Sections 1.1, 1.2, 1.3, 1.4: September 11.
Sections 1.5, 1.8, 2.1: September 18.
Sections 2.2, 2.3: September 25.
Sections 3.2, 3.3 (through Exercise 23 only): October 2.
Sections 3.3 (Problems 25, 27, 31, 33, 34), 3.4, 4.1: October 9
Sections 4.3, 4.4, 4.5 (Problems 1 and 3 only): October 23
Sections 4.5, 4.6: October 30
Sections 4.7, 4.9: November 6
Sections 4.10, 5.1: November 13
Sections 5.2, 5.3, 5.5: November 20
Section 5.6, 5.7, 5.8: December 5
Sections 7.1, 7.2: December 10
Final Exam.Scores ranged from 45 to 217. The mean score was 149. Class grades were shipped to the Registrar on the afternoon of Friday, December 20. Out of 700 points, the course totals ranged from 420 to 684. Class grade distribution: A's (6), A-(3), B+(3), B(3, class mean grade), B-(4), C+(2), C-(1), X(1). If you would like additional information, please feel free to send e-mail : to the instructor.
Practice Homework Change In class December 10, Exercises 3, 7 and 11 of Section 7.4 were suggested for final-exam practice. It turns out that Exercise 3 requires the obscure trigonometric identity arctan(u) + arctan(1/u) = π/2, as well as the ability to recognize that the arctangent of y/x comes from antidifferentiation of the functions P(x,y,) and Q(x, y) in that problem. As you will see from looking at the Official Class Outline , Exercise 1 has now replaced Exercise 3 in the list of suggested practice problems from Section 7.4. Nothing from Section 7.4 that might make its way onto the exam will be as involved as Exercise 3!
Final Exam Review Materials. A review sheet for the final exam was distributed at the last class meeting, Tuesday, December 10. Click on the link for a slightly updated version, with a typographical error fixed. Another change: ignore Review Exercises 6, 7 and 8 on pp. 491-492: they are designed to work out easily via Stokes's theorem, which the course did not reach; they are much too complicated to work out directly. One point the review sheet omits: the exam will consist of 9 questions (plus a bonus), vs. 6 for Exams 1 and 2. So any time pressure you felt during those exams should be considerably less of a factor. On Monday, December 16, a practice final exam and an answer sheet were both posted. Try this practice exam as the last step of your review process.
For women only. Thinking of math as a major? Then check out the following opportunity available during a February weekend at the University of Nebraska.
The Fifth Annual Nebraska Conference for Undergraduate Women in Mathematics will be held February 7-9, 2003 at the University of Nebraska-Lincoln. The conference provides an opportunity for undergraduate women in the mathematical sciences to meet other women with similar interests and to share research experiences.
The main program of the conference will be short (15 minute) talks by the undergraduate women participants on their research. The speakers benefit from the experience of presenting their work and all participants see many different areas of mathematical research. Dr. Jennifer Chayes (Microsoft Research) and Prof. Jean Taylor (Rutgers) will be this year's plenary speakers, and there will also be several panel discussions such as "Choosing a Graduate Program" and "Careers Using Math". Again this year, the conference is supported by the National Security Agency and the National Science Foundation.
All undergraduate women who register for the conference by the January 27 deadline will be eligible for funding. They expect to be able to provide each participant with lodging during the conference (double-occupancy hotel room) and most meals. They also expect to be able to provide partial reimbursement of travel expenses for some participants.
The UConn Department of Mathematics also expects to be able to provide some reimbursement for travel expenses for some UConn participants. See Prof. Vinsonhaler for more information.
Flyers are posted on the 2nd and 3rd floor bulletin boards and outside MSB 107. Additional information and online registration are available at this link. If you have any questions, please send email to ncuwm@math.unl.edu.
To program a cone, say z2 = x2 + y2, for instance, you could let z = u, x = u*cos(v), and y = u*sin(v). To adjust the appearance, use the Zoom In and Zoom Out choices under the Aspect menu, as well as Set t, u, v ranges under the Settings menu. Add coordinate axes via the Show Axes selection in the View menu. You can rotate generated images by depressing the mouse and dragging, as with Maple.
When you have an image you would like to print, use Save Window as Pict File under the File menu. It will ask you to name your image, and save it to a ZIP disk with a suffix of .pict (the latter is to identify it properly; otherwise it will appear to be a JPEG file). When you double click on the icon of the saved image, a printable image should appear on your screen after you decline to purchase a commercial version of QuickTime. You can use Page Setup under the file menu as usual to size the image and print it in either portrait or landscape format.
Printing error in the text. The latest printing of the text mysteriously introduced material from p. 144 onto p. 143. The last paragraph of p. 143 should read as follows:
The last paragraph of p. 144 should end with the following three sentences, which may have been omitted there if they were transferred (rather than simply copied) to the previous page:
Department Problem Competition resumes. This weekly competition offers prizes for solutions of problems of a wide variety of intriguing kinds. Check it out!
Virus Alert. From Katherina Sorrentino's e-mail to all UConn employees of September 10:
Currently, UITS is removing infected computers from the network in order to
contain the virus. If you are not protecting your computer by running
antivirus software you could lose access to the network and the Internet
without warning. Please help reduce/eliminate the spread of these viruses.
Mathematica notebooks and Maple worksheets for course topics are now available for viewing on this site. Interactive versions are in the Math 220 course folder on the Server1 volume in MSB 203. Also, information is posted at this link about how you can acquire the complete version of Maple at a special price available only to students.
For a partial answer, link to the CNNfn Story "Working Your Degree"
Accessing 3D-FilmstripX on Server1.
Mount Server1 (by clicking on its icon in the menu bar). Once it has mounted, its icon appears on the desk top, below the
Macintosh HD icon. Double click on that icon, to reveal the contents of Server1. You need to open the Applications (Mac OS X) folder; do so by again double-clicking on that folder. You will see a 3D-Filmstrip folder. Double click on it to open the
3D-Filmstrip folder, and finally double-click on the 3D-FilmstripX icon to start the application. For tips on using the application for Project Question 1, read on below.
Suggestions for using 3D-FilmstripX.
Access the User-Defined (Cartesian) selection under the Surfaces menu. The parametric representation there is similar to that for curves. Since surfaces are two-dimensional, two parameters, u and v, appear.
If a2 = b2, then we have a hyperboloid of revolution about the z-axis. For the picture, see Figure 4.5. Notice that the graph is symmetric relative to all three coordinate planes.
If a2 = c2, then we have a hyperboloid of revolution about the y-axis. Notice that the graph is symmetric relative to all three coordinate planes. See Figure 4.6 for the picture.
The University's computer network is experiencing a large outbreak of
computer viruses. The two most common are "Klez" and "Nimda." These
viruses infect computers running the Microsoft Windows operating system.
Both viruses are transmitted through e-mail attachments.
What can one do with a major in mathematics?