Welcome to the Math 3500/3510 homepage! Copies of all the course homework assignments will be posted on this page. Please check this page and keep up with the homework when you have to miss class: you don’t want to fall behind!

Syllabus

Here is a copy of the syllabus for 3500 .

Math 3510 Homework Assignments

  • Section 7.1 2, 3, 4, 5, 7. Section 7.2 1, 2, 4. Read 7.1-7.3. Due Wednesday, January 22.
  • Section 7.4. 5, 13, 21. Section 7.5 1, 4, 5. Due Friday, February 14.
  • Section 7.5 3, 6, 8, 19. Section 7.6 1, 2, 4, 6. Due Friday, February 21.
  • Beware the first exam . In class on Monday, Feburary 24, it will cover Chapter 7 in its entirety. Please be prepared to compute integrals over 2 and 3-dimensional regions, in rectangular, cylindrical, and polar coordinates, and to change coordinates using the change of variables theorem to weird coordinate systems. Also, be ready to compute determinants, to solve matrix equations using Cramer’s rule, and to find matrix inverses using the matrix of cofactors.
  • Read Section 8.2 and 8.3! Section 8.2 # 4, 3, 6, 7, 11, 12, 8. (I know these are out of order, but I think that you’ll find it easier to do them in this crazy order.) Due Friday, March 7.
  • Read 8.4. Section 8.3 # 1 – 6, 9, 10. Due Wednesday, April 2. Here are some bonus questions for you to play with:
    • We saw how to compute the area of a polygon P as a sum of combinations of the coordinates of its vertices. Use this formula to check the area of two triangles and a quadrilateral against the usual methods. Then use this method to compute the area of the unit disk!
    • Compute the center of mass of the polygon in a similar way, again using Green’s theorem.
    • Section 8.3. #26.
  • Homework, Due Wednesday, April 23. 9.1 1-4, 9.
  • 9.2 #1, 2, 3, and nine. 9.3 nine, 9.4 #1, 6.

Practice Exams

This is a somewhat incomplete set of practice exams from the two courses.