Offered: Fall 2015
Instructor: Kevin J. Mitchell
Office: Lansing 305
Phone: (315) 781-3619
Fax: (315) 781-3860
E-mail: mitchell@hws.edu
Office Hrs: M & W 2:30-4:00, Tu 2:00-3:30, F 1:30-2:30. Available at other times by appointment.
Class: Section 131-01: M-W-F 8:00 to 8:55 in Napier 201
Lab: Thursday 10:20 to 11:45 in Gulick 206A
Final Exam: Thursday, December 17, 2015 8:30-11:30 AM (NOTE: Exam time is for lab period.)
Text: Calculus: Early Transcendentals, second edition
by Briggs, Cochran, & Gillett
Math Intern: Ms Tasha Williams. Office Hours in Lansing 310
Sun: 2:00-5:00, 7:00-10:00pm; Mon through Thurs: 3:00-5:30pm, 7:00-10:30pm
Syllabus: Course Information
WeBWorK: WeBWorK Home Page for Math 131WeBWorK Instructions and FAQsWeBWorK Syntax and List of Functions
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, make sure that in System Preferences / Java under the
Security tab you check "Enable Java Content in the browser" and list
math.hws.edu as an exception. Depending on your browser, you may have to go to your browsers
Preferences and under the Extensions tab, check Allow Plug-ins and under the
Website Settings button again list
math.hws.edu as an exception. It is slow to load!
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 meeting with
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 will
adjust this schedule based on our actual work in class.
Week 1: The Area Problem, Summation Notation. Riemann Sums. Chapter
5.1-5.2. On you own: Review Chapter 4.7 and 4.9 (L'Hopital's Rule, Antiderivatives)
and the Mean Value Theorem (page 292; make sure you understand Figure 4.70).
Week 2: Riemann Sums and the Definite Integral. The Fundamental Theorem of Calculus.
Chapters 5.2-5.3.
Week 3: Properties of Integrals. Integrals via Substitution. Chapter 5.4-5.5.
Week 4: Substitution. (Net Change?) Area Between Curves Chapters 5.5. (6.1?) 6.2.
Week 5. Application: Volume by Slicing and by Shells. 6.3-6.4.
Thursday Week 5, October 1: First Hour Test (in Lab).
Week 14: Alternating Series. Taylor Polynomials. Power Series. Chapters 8.6 and 9.1-9.2.
Week 15: Power series and Taylor (McLaurin) series. Chapter 9.2-9.3.
Final Exam: Thursday, December 17, 2013 8:30-11:30 AM
(NOTE: This exam time is for our lab period.)
A Note about the Center for Teaching and Learning (CTL)
At Hobart and William Smith Colleges, we encourage you to learn collaboratively and to seek the resources that will enable you to succeed. The Center for Teaching and Learning (CTL) is one of those resources: CTL programs and staff help you engage with your learning, accomplish the tasks before you, enhance your thinking and skills, and empower you to do your best. Resources at CTL are many: Study Mentors help you find your time and manage your responsibilities, Writing Fellows help you think well on paper, and professional staff help you assess academic needs.
I encourage you to explore these and other CTL resources designed to help you do your very
best work. Visit the CTL office on the second
floor of the library to discuss options with the staff, call for an appointment 781-3351,
or visit the CTL website
at
http://www.hws.edu/academics/ctl/index.aspx.
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/academics/ctl/disability_services.aspx.
Please direct questions about this process or Disability Services at HWS to Administrative
Coordinator, Jamie Slusser, (slusser@hws.edu, 781-3351)
or Coordinator of Disability Services, David Silver
at silver@hws.edu.
Hobart and William Smith Colleges: Department of Mathematics and Computer Science