Holy Cross Mathematics and Computer Science
MATH 131 -- Calculus for the Physical and Life Sciences, section 1, Fall 2007
Syllabus and Schedule
Information and Announcements
- Final Exam for our section will be given at 2:30pm on Saturday, December 8 in
Swords 302 (our regular classroom)
- Information on final exam
- Practice final exam (this is essentially the
real final from the last time I taught MATH 131).
- Review Sheets and practice problems from the midterms
Solutions
Examples, Class Notes, Etc.
Assignments
- Problem set guidelines
- Problem Set 1 (all problems from Stewart, Single Variable Calculus, Concepts
and Contexts, 3rd ed.) due in class on Friday, September 7.
- Section 1.1: # 2, 5-8, 17, 20, 24, 28, 37, 42, 52, 64, 66, 70;
- Section 1.2: # 2, 4, 5, 6, 8, 12, 17, 18;
- Section 1.3: # 2, 3, 4, 6, 10, 16, 30, 32, 36, 40, 42, 44, 50, 54 (you can find the formula for the volume of a sphere in the reference pages at the beginning of the book), 55.
- Lab Day 1. Writeups due: Monday, September 10.
- Problem Set 2 due in class on Friday, September 14.
- Section 1.5: # 4, 8, 10, 13, 14, 17, 18, 20, 26;
- Section 1.6: # 4, 6, 10, 12, 14, 15, 16 b), 18, 21, 24, 26, 30, 34, 36 a), 38, 48, 50 a), 54;
- Appendix C: # 2, 4, 16, 24, 30, 32, 34, 37, 38, 41-44.
- Lab Day 2 (.pdf) Writeups due: Monday, September 24.
- Problem Set 3 due in class on Friday, September 28.
- Section 1.7: #2, 4, 6, 10, 15, 16, 20, 29, 34, 40;
- Section 2.1: # 2, 3, 6, 8;
- Section 2.2: # 2, 4, 5, 6, 8, 10, 16, 22, 28.
- Problem Set 4 due in class on Friday, October 5.
- Section 2.3: #2, 6, 8, 10, 13, 16, 20, 26, 35, 36;
- Section 2.4: #4, 6, 10, 16, 26, 32, 39;
- Section 2.5: #4, 6, 16, 20, 23, 24, 28, 31, 40;
- Section 2.6: #6, 8, 12, 13, 14, 16, 18, 24.
- Problem Set 5 due in class on Friday, October 12.
- Section 2.7: #1, 2, 4, 6, 12, 16, 20, 23, 28, 30, 34;
- Section 2.8: #2, 4, 8, 12, 20, 22, 32, 38, 50.
- Problem Set 6 due in class on Friday, October 19.
- Section 2.9: #2, 4, 6, 12, 18;
- Section 3.1: #2, 4, 8, 10, 14, 16, 20, 22, 24, 28, 30, 32, 48, 58;
- Section 3.2: #2, 4, 6, 8, 10, 14, 16, 20, 22, 24, 28, 32, 36, 40, 42.
- Problem Set 7 due in class on Friday, November 2.
- Section 3.3: #2, 3, 16, 18, 29;
- Section 3.4: #5, 10, 13, 18, 32, 41 (Hint: start by dividing the top and bottom by theta);
- Section 3.5: #4, 7, 16, 17, 29, 32, 36, 42, 45, 46, 60, 63, 70, 73, 80;
- Section 3.6: #2, 3, 16, 19, 22 (a,b), 27, 36.
- Problem Set 8 due in class on Friday, November 9.
- Section 3.7: #3, 6, 8, 16, 17, 22, 32, 35;
- Section 4.1: #3, 12, 18, 19, 20, 22;
- Section 4.2: #2, 6, 9, 10, 14, 21, 22, 28, 29, 36, 39, 44, 52,
55 (Hints: Density is mass over volume. A critical point of the density
function is also a critical point of the volume function. Do you see why?)
- Problem Set 9 due in class on Monday, November 19 note unusual day.
- Section 4.3: #6, 10, 12, 17, 21, 25, 29, 35, 50;
- Section 4.4: #9, 12; Suggestions: See the example above and the notes from
class on 11/12 before you start these. Do 12 first.
Also, use the following amplified directions for these two problems:
- Determine where the graph y = f(x) has vertical and horizontal asymptotes. Also
determine in which direction the graph approaches the vertical asymptotes on each side.
- Determine where the graph y = f(x) crosses the x- and
y-axes (if it does)
- Use the information you determined in parts 1 and 2 to produce a possible
rough sketch of the graph by hand.
- Then, guided by what you expect from your rough sketch,
using a graphing calculator or Maple, produce one or more plots showing
all local minima and maxima and estimate the
maximum and minimum values from the plot.
- Section 4.5: #4, 7, 10, 11, 14, 25, 31, 39, 45, 58a;
- Section 4.6: #4, 5, 8, 21;
- Discussion 4, writeups due in class on
Tuesday, November 20.
- Problem Set 10 (the last one of the semester!) due in class on
Tuesday, December 4 (the last day of classes)
- Section 4.9: # 2, 3, 8, 10, 18, 19, 28, 29, 40, 41
- Section 5.1: # 2, 3, 13, 15, 18
- Section 5.2: # 1, 6ab, 7, 19, 23, 32, 35, 38, 40, 41, 42
- Lab Day 3 -- Newton's Method, writeups
due Friday, November 30.
Related Links
- Our textbook's web site
-- includes a good algebra review section, challenge problems, notes on the history
of calculus, etc.
- On-line tutorial
on pre-calculus mathematics from West Texas A&M University.
- A treasure
trove of calculus-related sites on the Internet.
- For when you need a laugh.
- Biographical information on Isaac
Newton
- Biographical information on Gottfried
Leibniz
- Biographical information on Bernhard
Riemann
Downloading Information
The links for assignments and other handouts shown above with the
notation (.pdf) lead
to documents in PDF format. To read and print these, you will need to have
Adobe Acrobat Reader installed on your computer. This is available at no
cost from Adobe.
To
my personal homepage
To the Math homepage
To the Holy Cross homepage
Last modified: December 10, 2007