Offered: Spring 2013
Instructor: Kevin J. Mitchell
Office: Lansing 305
Phone: (315) 781-3619
Fax: (315) 781-3860
E-mail: mitchell@hws.edu
Office Hrs: M & W 12:30-2:00, Tu 2:30-4:00, F 1:15-2:30. Available at other times by appointment.
Class: Section 131-01: M-W-F 8:00 to 8:55 in Napier 201
Lab: Thursday 8:45 to 10:10 in Gulick 206A
Final Exam: Monday, May 13, 2013 1:30-4:30 PM
Text: Calculus: Early Transcendentals
by Briggs & Cochran
Math Intern: Dave Brown Office Hours in Lansing 310
Sun: 12:00-6:00pm; M 3:00-10:00pm; Tu 2:00-6:00, 7:00-10:00pm; W and Th: 5:00-10:00pm
Syllabus: Course Information
WeBWorK: WeBWorK Home Page for Math 131WeBWorK Instructions and FAQsWeBWorK Syntax and List of Functions
Practice Final Answers. There were some
typos on problems 7 and 8. Also the Taylor series problem was a bit harder than intended because of the
initial term.
Class Notes Day 3. Riemann Sums Part 1.
Some examples worked out in detail. We did not get very far in this, but you might find it very helpful to read for next class.
xFunctions Applet for Riemann Sums.
The applet should work in any of the labs on campus. It will work on your personal machines only
if you have JAVA installed. On a Mac, try using the Firefox Browser if you run into difficulties with Safari.
Lab 1 with Answers. If you had trouble with these problems, you
should be reviewing in your text (and see the links at the bottom of this list) and seeing
the Math Intern (hours listed above) or me.
Prerequisites, Part Two: l'Hopital's Rule. Addidtional notes on
l'Hopital's rule for evaluating limits; material you should know but not covered in class. See Chapter 4.7.
Course Prerequisites, Part One. Notes on prerequisites inlcuding
basic derivative rules, the Mean Value Theorem, and antiderivatives.
This assumes a fairly rapid pace through the listed materials. We may need
to adjust this schedule based on our actual work in class.
Week 1: The Area Problem, Summation Notation.
5.1. On you own: Review 4.7-4.8 (L'Hopital's Rule, Antiderivatives) and the Mean Value Theorem (page 276; make
sure you understand Figures 4.68 and 4.69).
Week 2: Riemann Sums and the Definite Integral. Chapter 5.2.
Week 3: The Fundamental Theorem of Calculus. Properties of Integrals.
Chapter 5.3-5.4.
Week 4: Integrals via Substitution. Chapter 5.5. Application: Change in Position. Chapter 5.5, 6.1
Week 5.
Area Between Curves, Volume by Slicing. 6.3.
Week 14: Power Series and Taylor Series. Chapter 9.2-9.3.
Week 15: McLaurin and Taylor series. Chapter 9.3.
Final Exam: Monday, May 13, 2013 at 1:30PM.
A Note about the Center for Teaching and Learning (CTL)
At Hobart and William Smith Colleges, we
encourage students to seek the academic collaboration and resources that will enable them to do
their best work. The CTL offers a variety of resources that can help students achieve academic
success, including Teaching Fellows, Writing Colleagues (for help on papers),
Study Mentors (for help with study skills and time management), Group Study Tables
(for content help in specific courses), and more.
For more information on these resources, visit the CTL webpage
at http://www.hws.edu/academics/ctl/index.aspx,
or visit the CTL Blackboard site.
Disability Accommodations: If you are a student with a disability for which you may need
accommodations, you should self-identify and register for services with the Coordinator of
Disability Services at the Center for Teaching and Learning (CTL), and provide documentation
of your disability. Disability related accommodations and services generally will not be
provided until the registration and documentation process is complete. The guidelines for
documenting disabilities can be found at the following website:
http://www.hws.edu/disabilities.
Please direct questions about this process or Disability Services at HWS to David Silver,
Coordinator of Disability Services, at silver@hws.edu or x3351.
Hobart and William Smith Colleges: Department of Mathematics and Computer Science