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 Transcendentalsby 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 131 WeBWorK Instructions and FAQs WeBWorK Syntax and List of Functions

- Minute Math Blogspot/. Quick fun math problems.
- Number A Day Blogspot/. Interesting facts about a new number every day.

- 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.
- Practice Final. Try this after you have studied.
- Final Review Session Thursday May 9, 10:00 AM in Gulick 206a.
- Handout for Day 42. Information abou the Final Exam.
- Semi-Final Review Questions for Final with answers. I will post more problems on Power and Taylor Series later.
- WeBWorK TaylorSeries Power Series.
- Assignment for Day 41 and Answers.
- Lab 14 with Answers.
- WeBWorK Day40 Power Series Convergence.
- Assignment for Day 40 and Answers.
- WeBWorK Day39 Series and Power Series.
- Assignment for Day 39 and Answers.
- Introduction to Power Series with lots of examples.
- WeBWorK TaylorPoly Two Problems on Taylor Polynomials.
- Taylor Polynomial Class Handout.
- Assignment for Day 38 and Answers.
- Lab 13 with Answers and Lab 13 Quiz Answers and.
- WeBWorK Day37 More on Series.
- Assignment for Day 37 and Answers.
- Series, Part 7 (Absolute and Conditional Convergence).
- Series, Part 6 (Alternating Series Test).
- Assignment for Day 36 and Answers.
- Series, Part 5 (Root Test and Alternating Series Test).
- WeBWorK Day35 More on Series.
- Assignment for Day 35 and Answers.
- Series, Part 4 (Limit Comparison Test and Ratio Test and Root Test).
- Assignment for Day 34.
- Series, Part 3 (Comparison Tests).
- Practest 3 and answers.
- WeBWorK Day33 on Series.
- Assignment for Day 33 and Answers.
- Series, Part 3 (n-th term test, Integral Test).
- WeBWorK Day32.
- Assignment for Day 32 and Answers.
- Class Notes Day 32. Series, Parts 1 and 2 (Introduction, Telescoping Series, Geometric Series, nth term test). This includes the material on series from the Day 31 Notes.
- Lab 11 with Answers.
- WeBWorK Day31. Sequences.
- Assignment for Day 31 and Answers.
- Class Notes Day 31: Intro to Series. Also see Day 20 notes.
- WeBWorK Day30B.
- Assignment for Day 30 and Answers.
- Class Notes Day 30. More on Sequences. Also see Day 29 notes.
- WeBWorK Day29B. Improper Integrals and Intro to Sequences.
- Assignment for Day 29 and Answers.
- Class Notes Day 29. Intro to Sequences. Also see earlier notes on Improper Integrals.
- Lab 10 and Answers.
- WeBWorK Day28. Improper Integrals.
- Assignment for Day 28 and Answers.
- Class Notes Day 28 on Improper Integrals.
- WeBWorK Day27.
- Assignment for Day 27 and Answers.
- Class Notes Day 27 on Improper Integrals and read the second half Notes on l'Hopital's Rule: harder examples.
- WeBWorK Day26. Partial Fractions.
- Assignment for Day 26 and Answers.
- Class Notes Days 26 on l'Hopital's Rule. Also see pages 5 through 9 of the Class Notes Day 26 on Partial Fractions.
- Lab 9 and Answers.
- WeBWorK Day25. Partial Fractions.
- Assignment for Day 25 and Answers.
- Class Notes Day 25 on Partial Fractions.
- WeBWorK Day24. Triangle Integrals.
- Assignment for Day 24 and Answers.
- Class Notes Day 24 on Triangle Integrals. This is the same as the yellow handout from Day 22.
- Looking for some fun over Spring Break? Try Extra Credit WeBWorK.
- Lab 8 and Answers.
- WeBWorK Day22Pre-Lab. Trig Techniques.
- Class Notes Day 22 on Triangle Integrals. This is the same as the yellow handout. Also see the notes from Day 21 on Trig Integrals.
- Assignment for Day 22 and read the notes for today below. Answers.
- Practice for Test 2 Answers. Try them first!
- Class Notes Day 21 on Trig Integrals. Also see Integration by Parts notes from Day 20.
- WeBWorK Day21. Integration by Parts.
- Assignment for Day 21 including Practice for Test 2. and Answers.
- WeBWorK Day20. Problems on Techniques of Integration.
- Assignment for Day 20 and Answers.
- Class Notes Day 20 on Repeated Integration by Parts. Also see the introduction to Integration by Parts on Day 19
- Lab 7 and Answers.
- Class Notes Day 19: Introduction to Integration by Parts: Part 1.
- WeBWorK Day19. Problems on work.
- Assignment for Day 19 and Answers.
- Class Notes on Work.
- WeBWorK Day18. Problems on arc length.
- Assignment for Day 18 and Answers. Also see Class Notes from Friday below.
- WeBWorK Day17.
- Assignment for Day 17 with Quiz and Answers.
- Class Notes Day 17-18. Arc length.
- Lab 6 with Answers.
- WeBWorK Day16 and Lab 6. Set up problems and problems from Lab 6.
- Assignment for Day 16 and Answers.
- Class Notes Day 16. Volumes of revolution: Shells. (Also see Day 15 notes for an introduction to the Disk Method.) Volume Demonstration file and download the CDF Player for Volume Demos. Thank you Professor Hao.
- WeBWorK Day15. Due Thursday.
- Assignment for Day 15 and Answers.
- Class Notes Day 15. Volumes of revolution: Disks (Washers). (Also see Day 14 notes for an introduction to volume.)
- WeBWorK Day14.
- WeBWorK Bonus Challenge. Optional Extra Credit.
- Assignment for Day 14 and Answers.
- Class Notes Day 14. An introduction to volume.
- Class Notes Day 13 on Area Between Curves, part 2. Also an application of area between curves: The Lorenz Curve in Economics.
- Assignment for Day 13.
- Class Notes Day 13 on Area Between Curves, part 2. Also an application of area between curves: The Lorenz Curve in Economics.
- PracTest 1 with Answers. Also review Lab 4 and its answers. There are lots of good questions on it.
- WeBWorK Day12.
- Assignment for Day 12 and Answers. All assigned problems are also WeBWorK problems. Do them at the same time.
- Class Notes Day 12 on Area Between Curves, Part 1.
- PracTest 1. The answers will be available early next week. Also review Lab 4 and its answers. There are lots of good questions on it.
- WeBWorK Day11.
- Assignment for Day 11 and Answers.
- Class Notes for Day 11 on motion problems.
- Lab 4 and with Answers.
- WeBWorK Day10.
- Assignment for Day 10 and Answers.
- Class Notes for Days 9 and 10 on
*u*-substitution. - WeBWorK Day09.
- Assignment for Day 9 and Answers.
- Class Notes for Days 9 and 10 on
*u*-substitution. - WeBWorK Day08.
- Assignment for Day 8 and Handout for Day 8 and Answers.
- Class Notes Day 8. Average Value and MVTI.
- Lab 3 with Answers.
- WeBWorK Substitution1. Due Tuesday at midnight.
- WeBWorK Day07. Due Saturday at Noon.
- Class Notes Day 7. The Fundamental Theorem of Calculus I.
- Handout for Day 7 and Answers.
- WeBWorK Day06 Due Thursday noon.
- Assignment for Day 6 and Answers.
- Class Notes Day 6. The Fundamental Theorem of Calculus and an application.
- WeBWorK Day05 Due Tuesday evening.
- Assignment for Day 5 and Answers.
- Class Notes Day 5. The Definite Integral and its Properties. Also see Class Notes Day 4 for detailed Riemann Sum examples.
- WeBWorK Lab02Review: Due Sunday evening.
- Lab 2 and Answers.
- Assignment for Day 4 and Answers to Pre-Lab. Homework due Friday: WeBWorK and Yellow Sheet (from Day 3). Also review the material online at Class Notes Day 3
- Class Notes Day 4 for detailed Riemann Sum examples.
- WeBWorK Set Day03: Now Due Friday Night. You should be able to do the last 6 problems now (which are review).
- Assignment for Day 3 Due Friday and Answers.
- 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.
- WeBWorK Set Day02: Due Monday Night. Summation notation and antidifferentiation review. (Remember the LHopital problems due Tuesday.)
- Assignment for Day 2 Due Monday in Class and Answers.
- Class Notes Day 2 on sigma notation.
- 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.
- WeBWorK Set LHopital: Due Friday night. A review of L'Hopital's Rule. See your text or the notes below.
- WeBWorK Set Day01: Due Friday Afternoon. A brief review of differentiation and antidifferentiation.
- WeBWorK Set0: Due Thursday WeBWorK Practice.
- Assignment for Day 1 and Answers.
- 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.

- 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.
- Thursday, February 21:
**First Hour Test (in Lab)**. - Week 6: Applications: Volume by Shells. Arc Length. Chapter 6.4. 6.5.
- Week 7: Application: Work. Log and Exponential Functions, again. Chapter 6.6(pp 423-426), 6.7.
- Week 8: Integration by Parts. Trig Integrals (briefly). Chapter 7.1, 7.2.
- Week 9: Trig (Triangle) Substitution. Chapter 7.3, and Handout.
- Friday, March 15:
**Second Hour Test**at 7:40 am - Week 10: Partial Fractions (briefly). Improper Integrals. Chapter 7.4, 7.7.
- Week 11: Sequences and Series. Chapter 8.1, 8.2, 8.3.
- Week 12: Series, the Divergence Test, and the Integral Test. Chapter 8.3, 8.4.
- Week 13: Convergence Tests, Alternating Series. Chapter 8.5-8.6.
- April 18:
**Third Hour Test (in Lab)**. - 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.

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

Copyright © 2008-2013

Author: Kevin Mitchell (mitchell@hws.edu)

Department of Mathematics and Computer Science

Copyright © 2008-2013

Author: Kevin Mitchell (mitchell@hws.edu)