Holy Cross Mathematics and Computer Science
MATH 241, section 1 -- Multivariable Calculus, Fall 2013
Syllabus and Schedule
Examples, Class Notes, etc.
Information and Announcements
- The final exam for our class will be given at 11:30am on Saturday, December 14
- Review Session: Thursday, December 12, 7:00pm - ?, in Swords 302
Solutions for Problem Sets, Quizzes, Exams, etc.
Assignments
- Individual Problem Set 1:
- Section 1.1 -- 1 cd, 4 abc, 7, 10 ab, 12, 13.
- Section 1.2 -- 2, 4, 10, 14, 15.
due: at start of class on Friday, September 6.
- Individual Problem Set 2:
- Section 1.3 -- 1 bd, 3, 4, 5, 7 ac, 8, 9
- Section 1.4 -- 1 c, 2 bd, 4, 7, 8 a and part (iv) of b, 11 ad, 13a
due: at start of class on Friday, September 13.
- Lab Day 1 worksheet (September 11). Writeups (via email) due on September 18.
- Individual Problem Set 3:
- Section 2.1 -- 1c, 3ac, 4, 5ac, 11.
- Section 2.2 -- 1bd, 2bd, 3, 6, 7, 10.
due: at the start of class on Friday, September 20.
- Lab Day 2 worksheet (September 25). Writeups (via email) due on
October 2.
- Individual Problem Set 4:
- Section 2.3 -- 13, 14.
- Section 2.4 -- 2b, 3, 4d, 5c (use Maple), 9.
- Section 3.1 -- 9, 10.
due: at the start of class on Friday, October 4.
- Individual Problem Set 5: (Note: the strange order here is suggested to reflect the
way we will introduce the concepts involved in class)
- Section 3.2 -- 10, 12, 15, 16, 5, 6ac, 8a
- Section 3.4 -- 5bd
- Section 3.5 -- 1a (compute the derivative two ways: first substitute from the curve and
differentiate directly with respect to t, second use the Chain Rule. Verify that
the results are the same.)
due: at the start of class on Friday, October 11.
- Lab Day 3 worksheet (October 23). Writeups (via email) due
at 5:00pm on October 28.
- Individual Problem Set 6:
- Section 3.5 -- 3a, 4a
- Section 4.1 -- 1ab, 2d, 3, 4
due: at the start of class on Friday, October 25.
- Lab Day 3 worksheet (October 25). Writeups (via email) due
at 5:00pm on Monday, October 28.
- Individual Problem Set 7:
- Section 4.2 -- 3b, 4c, 9
- Section 4.3 -- 2cd, 3c
- Maple Section: worksheet file. Do these problems and submit
to jlittle@holycross.edu as for one of the lab assignments.
- (Extra Credit) Section 4.4 -- 4a (solve two ways -- first by parametrizing the constraint
curve and considering f restricted to the curve as a function of the parameter, then by
using the two-multiplier Lagrange equations as developed in that section)
due: Both the book problems and the Maple section are due at the start of class on
Friday, November 8.
- Individual Problem Set 8:
- Section 5.1/12
- Section 5.2/1a, 2b, 3cd, 4a, 7, 8a, 9a, 11ab.
due: at the start of class on Friday, November 15.
- Individual Problem Set 9:
- Section 5.3/3abe, 4ace, 5cde, 6bd, 7a, 8b
- Section 5.4/1a, 3ace, 4c.
due: at the start of class on Friday, November 22.
- Individual Problem Set 10:
- Section 5.5/2, 3ace, 7ac
- Section 5.6/2ace, 3abc, 5ab
- Section 6.1/2bc, 3
- Section 6.2/1, 2, 4, 5a (see Theorem 6.2 starting on page 389)
due: at the start of class on Friday, December 6.
Related Links
- A treasure
trove of calculus-related sites on the Internet.
- For when you need a laugh.
- Ludwig Otto
Hesse -- the inventor of the Hessian determinant and the Hessian criterion.
-
Bernhard Riemann -- one of the greatest mathematicians of all
time (with Archimedes, Euler, Gauss, Hilbert, Newton, Poincare )
- Note: Some of the links on this page lead to documents in pdf format.
These will only be readable if you have a pdf viewer plugin for
your browser (such as Acrobat Reader). This is available at no cost
from Adobe.
To
my personal homepage
To the Math homepage
To the Holy Cross homepage
Last modified: December 16, 2013
