Math 563 Page for Spring 1999

Announcements

• The take home final is posted below and is due at 5pm in my office on Tue 5/11.
• A notebook from my technology demo talk is listed below.
• John Oprea has an errata Web page for our textbook. Some nice graphics (soap bubbles) are also available.

• Interested in undergraduate research opportunities this summer? Check out:
  • Research Experiences for Undergraduates Program (REU) at the National Science Foundation. You must be a US citizen or permanent resident to qualify.
  • Undergraduate Research Opportunities Program (UROP) sponsored by BU. (3/22 deadline)
  • Student Intern Program at Wolfram Research.

General Course Information

• Instructor: Takashi Kimura
• Office: MCS 234
• Phone: (617)353-1486

• Course Description/Syllabus
• Lecture: MWF 1-2pm, Room MCS 148
• My Office Hours: 2-3:30 MW

Course Materials

• How to download and open Mathematica notebooks from this Web page.

• Mathematica tutorial (notebook file)
• Frenet Frame package tutorial files:
  Download both of the following files but open only the first one in a Mathematica notebook. The second file is used by the first notebook file.
  • tutorial (notebook file)
  • package (input file)
• A notebook with solutions to some problems from homework 2.
• From 2/5 lecture: Notebook of examples of coordinate patches.
• A notebook with solutions to some problems from homework 3.
• From 2/22 lecture: Notebook of examples of Gaussian and mean curvature calculations.
• A notebook with solutions to some problems from homework 4.
• A notebook with solutions to some problems from homework 5.
• A notebook with solutions to some problems from homework 6.
• Curvature package (from homework #7) and tutorial files:
  Download both of the following files but open only the first one in a Mathematica notebook. The second file is used by the first notebook file.
  • tutorial (notebook file)
  • curvature.m package (input file)
• A notebook with solutions to some problems from homework 7.
• A notebook with solutions to the infamous ellipsoid problem from the midterm.
• A notebook from my technology demo talk.

Homework Assignments

• Graded homeworks will be returned in class. Unclaimed homework will be put in a box outside my office.
• Homework solutions will be put on reserve in the Science-Engineering library after the homeworks are graded.

• Homework #1: Due Wed 1/20
  (From Chapter 1)
  • Exercises 1.5, 6, 10, 11, 12, 13
  • Exercises 2.1, 2, 4, 5
• Homework #2: Due Wed 1/27
  (From Chapter 1)
  • Exercises 3.4, 3.5, 3.6, 3.7, 3.8, 3.15, 3.20, 3.21
• Homework #3: Due Fri 2/5
  (From Chapter 1)
  • Exercises 4.2, 3, 4, 6, 8
  • Exercises 5.1, 6, 8, 10, 12
  • Please go through the general Mathematica tutorial and the Frenet Frame package tutorials above and hand in a copy of your output. You need not hand in the output from the notebook containing solutions to some problems from Homework #2.
• Homework #4: Due Fri 2/12
  (From Chapter 2)
  • Exercises 1.3, 8, 9, 13, 14
  • Exercises 2.1, 3, 6, 7
  • Exercise 3.3
• Homework #5: Due Fri 2/19
  • Chapter 2: Exercises 3.4, 5, 6, 7
  • Chapter 2: Exercises 4.2, 3, 4
  • Chapter 2: Exercise 5.3 (Use Mathematica instead of Maple!)
  • Chapter 3: Exercises 1.2, 4
• Homework #6: Due Fri 2/26
  • Chapter 3: Exercises 1.7
  • Chapter 3: Exercises 2.1, 2, 13
  • Chapter 3: Exercises 3.4, 6, 7
  • Chapter 3: Exercises 4.1, 2
  • Chapter 3: Exercise 5.2
• Homework #7: Due Fri 3/5
  • Chapter 3: Exercise 5.5
  • Chapter 3: Exercise 7.3 (Write the program to compute Gauss and mean curvatures in Mathematica and then compute the answer only for the Pretzel surface. You will find these programs useful in problem 3.3 below.)
  • Chapter 4: Exercises 2.3, 4, 5 (Note that in 2.5, the parametrization for Henneberg's surface is wrong -- the 2nd component of x[u,v] should have a PLUS sign between the two terms instead of a MINUS sign!)
  • Chapter 4: Exercise 3.3
  • Chapter 4: Exercise 4.1
• Homework #8: Due Mon 3/29
  • Chapter 5: Exercise(s) 1.1, 3, 6
  • Chapter 5: Exercise(s) 2.1, 2, 8, 10, 11
  • Chapter 5: Exercise(s) 4.2, 4
• Homework #9: Due Mon 4/5
  • Chapter 5: Exercise(s) 4.8, 12
  • Chapter 5: Exercise(s) 5.2, 6, 8, 9
  • Chapter 6: Exercise(s) 2.1, 3.2
• Homework #10: Due Wed 4/14
  • Chapter 6: Exercise(s) 3.3, 9
  • Chapter 6: Exercise(s) 5.2
  • Chapter 6: Exercise(s) 6.1, 2, 3, 4, 6
• Homework #11: Due Wed 4/21
  • Chapter 6: Exercise(s) 7.2, 3, 5, 7
  • Chapter 7: Exercise(s) 1.5, 7, 8, 9
• Homework #12: Due Wed 5/5
  • Chapter 7: Exercise(s) 3.5, 6, 10, 13, 17, 18, 21
  • Chapter 8: Exercise(s) 1.8
  • Chapter 8: Exercise(s) 2.2, 3

Exams

• The midterm due Monday 3/22 in class.
• The final due Tuesday 5/11 at 5pm in my office.

Feedback

• To make suggestions or comments about the course anonymously, click here.
• Click here to read some of these comments and my responses to them.