Math 130: Calculus I

Offered:     Fall 2012
Instructor:  Kevin J. Mitchell
Office: Lansing 305 
Phone:  (315) 781-3619
E-mail: mitchell@hws.edu

Office Hrs:  Mon & Wed 3:30 to 5:00 PM, Tues 12:45 to 2:15 PM, and Friday 1:30 to 2:30 PM.
             I am often available at other times by appointment.

Class:       Section 130-01: M-W-F 8:00 to 8:55 in NP 101.
             Lab: Thursday 8:45 to 10:10 in Gulick 206A
             Final Exam: Wednesday, December 12, 2012 at 1:30 pm in Gulick 206A (Exam Period for our Lab)
             
Text:        Calculus: Early Transcendentals by Briggs & Cochran

Math Intern: Tracy Burlingham in Lansing 310.
             Sunday 2:00 to 6:00 and 7:00 to 9:00 PM; Monday-Thursday 3:30 to 6:30 and 7:00 to 10:00 PM

WeBWorK:     WeBWorK Home Page for Math 130
             WeBWorK Instructions and FAQs
             WeBWorK Syntax and List of Functions

Course Materials and Links

Outline of Weekly Readings

This assumes a rapid pace through the listed material. We will adjust this schedule based on our actual work.

Week Topics and Readings
1 Syllabus, Introduction, Preview, The Slope Problem and Instaneous Rates, Introduction to Limits Read: Syllabus, Chapter 2.1, begin 2.2. Review Chapter 1.1, 1.2, 1.3, 1.4 & Appendix A on your own as needed. Topics: Functions, polynomials, rational, trig, exponentials, logs, and inverse funtions (see page 10 for definitions.)
2 Types of Limits, Evaluating Limits, The Limit Definition (hard). Read 2.2-2.3, and 2.7 (p. 107-112). Review Chapter 1.3 on Logs and Exponentials.
3 An Important Trig Limit, Infinite Limits, and Limits at Infinity. Read 2.4-2.5.
4 Continuity, Introduction to Derivatives. Derivatives: Why We Needed Limits. Derivative Functions. Read 2.6 and 3.1.
5 Exam 1 Monday, September 24 @ 7:40 am. Basic Derivative Rules. Derivatives of the Sine, Cosine, and Exponential Functions. Read 3.2 and 3.4 (p. 155-158).
6 The Product and Quotient Rules. Other Trig Derivatives. Derivatives as Rates of Change. The Chain Rule. Read 3.3-3.6. Review Inverse Functions in Chapter 1.3.
7 Implicit Differentiation and Derivatives of Logs, Inverse Functions, and Inverse Trig Functions. Read 3.7-3.9.
8 Application: Related Rates. Read 3.10.
9 Exam 2 Thursday, October 25 in Lab. Extrema. The Mean Value Theorem. The First Derivative Test. Read 4.1, 4.6, and 4.2.
10 The Second Derivative and Concavity. Graphing. Read 4.2-4.3.
11 More Graphing. Optimization. Read 4.3-4.4.
12 L'Hopital's Rule. Antiderivatives. Read 4.7 and 4.8.
13 Exam 3 Monday, November 19 in Class @ 7:40 am.
14 Antiderivatives and Applications to Motion. Reversing the Chain Rule. Read 4.8 and Materials On Line.
15 Looking ahead: Area Under A Curve.
Final Final Exam: Wednesday, December 12, 2012 at 1:30 pm in Gulick 206A (Exam Period for our Lab).

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. CTL has many resources including Teaching Fellows, Study Mentors, Writing Fellows, Q Fellows support you in courses that require math (but see the Math Intern first!), and professional staff help you assess academic needs.

Study Mentors: The CTL resource especially valuable to students either just starting college or adjusting to the demands of their choice of Major is the Study Mentors program. Study Mentors engage directly with each student in the process of adjusting to new academic demands: they help you find the time you need to engage with both your academic and co-curricular activities, accomplish the tasks in front of you, and enhance your reading and study time. To meet with a Study Mentor, one option is to go to the TutorTrac link provided on the CTL webpage and make an appointment. You can also contact Ingrid Keenan, x3832, keenan@hws.edu, or drop in at the CTL office on the second floor of the library.

I encourage you to explore these and other CTL resources designed to encourage your very best work. You can talk with me about these resources, visit the CTL office on the second floor of the library to discuss options with the staff, 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, provide appropriate documentation of your disability, and register for services with the Coordinator of Disability Services at the Center for Teaching and Learning (CTL). 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 David Silver, Coordinator of Disability Services, at silver@hws.edu or x3351.

Election Day is Tuesday, November 6, 2012: Your Vote Matters

In order to be eligible to vote, you must be a citizen of the U.S.A. and at least 18 years of age on election day.

You must also Register to Vote (usually at least 1 month before the election) in your home state. If you consider Geneva, NY home, you may obtain registration materials from the NY Board of Elections.

Many students consider their home state to be the state where their parents live. In this event, the student may prefer to vote using an Absentee Ballot. You can make a request to obtain an absentee ballot for any state through your home state's election commission website.

Hobart and William Smith Colleges: Department of Mathematics and Computer Science
Hobart and William Smith Colleges
Department of Mathematics and Computer Science
Copyright © 2012
Author: Kevin Mitchell (mitchell@hws.edu)