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 131 WeBWorK Instructions and FAQs WeBWorK Syntax and List of Functions

- Practice Final Answers.
- Handout with Corrected Answers from the Review Session. Many of these problems (but not all) are from the longer review handout below.
- Final Review Session Monday, December 14, 10:15-11:45 AM in Gulick 206A.
- Handout for Day 42. Information abou the Final Exam.
- Review Questions for Final with answers.
- Practice Final. Try this after you have studied.
- Lab 14 with Answers.
- WeBWorK Day41 Power Series and Intervals of Convergence.
- Assignment for Day 41 and Answers.
- Introduction to Power Series. There are lots of worked examples. Review them and try the homework.
- WeBWorK Day40 Power Series Convergence. I will push the due date back to Saturday.
- Introduction to Power Series. There are lots of worked examples. Review them and try the homework.
- Assignment for Day 40. This was cancelled. Try them anyway!
- WeBWorK Day39 Absolute and Conditional Convergence AND...
- WeBWorK Day38 Alternating Series.
- Assignment for Day 39 and Answers.
- Absolute and Conditional Convergence.
- Lab 13 with Answers.
- Assignment for Day 38 and Answers.
- WeBWorK Day37
- Series, Part 5 (Alternating Series Test).
- Read ahead. Absolute and Conditional Convergence.
- WeBWorK Day35B More on Series.
- Assignment for Day 37 and Answers.
- Read ahead. Series, Part 5 (Alternating Series Test). Review the previous notes below on the Comparison Tests.
- Series, Part 4 (Comparison Tests). Also see earlier notes on the Ratio and Root Tests.
- Assignment for Day 35 with Homework due after Thanksgiving and Answers.
- Series, Part 4 (Comparison Tests). Also see earlier notes on the Ratio and Root Tests.
- Lab 12 with Answers.
- Practest 3 and partial answers. Complete answers later.
- Assignment for Day 34. and Answers.
- Series, Part 3 (Ratio and Root Tests).
- WeBWorK Day33 on Series.
- Assignment for Day 33 and Answers.
- Class Notes Day 33. Series, Part 2: Divergence (nth) Term Test and Integral test.
- WeBWorK Day32.
- Assignment for Day 32 and Answers.
- Class Notes Day 32: Intro to Series. Lot's of good examples.
- Lab 11 with Answers and Extra Handout.
- WeBWorK Day31. Sequences.
- Assignment for Day 31 and Answers.
- Class Notes Day 30-31. Sequences.
- WeBWorK Day30B.
- Assignment for Day 30 and Answers.
- Class Notes Day 30. Sequences.
- WeBWorK Day29B. Improper Integrals II.
- Assignment for Day 29 and Answers.
- Class Notes Day 29 on Improper Integrals.
- Lab 10 and Answers.
- WeBWorK Day28. Improper Integrals.
- Assignment for Day 28 and Answers.
- Class Notes Day 28 on Improper Integrals
- Read ahead: Class Notes Day 28-29 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. There are lots of extra problems with complete answers at the end of these notes.
- WeBWorK Day26. Partial Fractions.
- Assignment for Day 26 and Answers.
- Class Notes Days 26 on l'Hopital's Rule. Also see pages 6 through 9 of the Class Notes Day 25 on Partial Fractions.
- WeBWorK Day25. Partial Fractions.
- Assignment for Day 25
- Class Notes Day 25 on Partial Fractions.
- Assignment for Day 24. The last two problems are partial fractions. Give them a try. and Answers.
- WeBWorK Day24. Triangle and Rational Partial Fractions.
- Class Notes Day 24 on Partial Fractions. See previous notes on Triangle Integrals.
- Practice for Test 2 with Answers. Try them first before looking at answers!
- Assignment for Day 23 and Answers.
- Class Notes Day 23 on Triangle Integrals. This is the same as the yellow handout.
- Lab 8 and Answers.
- WeBWorK Day22Pre-Lab. Trig Techniques.
- Looking for some fun? Here are some optional extra credit problems. They are due on the day of Exam 2 (next Thursday). Try Extra Credit WeBWorK.
- Class Notes Day 22-23 on Triangle Integrals.
**Read ahead.**Also see the notes from Day 21 on Trig Integrals. - Assignment for Day 22 and Answers.
- 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 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.
- Lab 6 with Answers.
- WeBWorK Day17.
- Assignment for Day 17 with Quiz and HW Answers.
- Class Notes Days 17-18. Arc length.
- WeBWorK Day16. Volume problems and problems from Thursday's Lab 6.
- Assignment for Day 16
- Class Notes Day 16. Volumes of revolution: Shells. (Also see Day 15 notes for an introduction to the Disk Method.)
- WeBWorK Day15. Due Tuesday.
- Assignment for Day 15 and Answers.
- Class Notes Day 15. Volumes of Revolution: Disks and Washers. (Also see Day 14 notes for an introduction to volume.)
- Assignment for Day 14 and Answers.
- Class Notes Day 14. An introduction to volume.
- WeBWorK Bonus Challenge. Optional Extra Credit. (Due Friday night.)
- WeBWorK Day13.
- Assignment for Day 13. All of these problems are WeBWorK problems. Do them at the same time.
- 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 The first four problems are also on your homework "Hand In" assignment for next class. Do them at the same time.
- Assignment for Day 12 and Answers. The first four 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.
- Lab 4 and with Answers.
- WeBWorK Day11.
- Assignment for Day 11 and Answers.
- Class Notes for Day 11 on motion problems.
- WeBWorK Day10.
- Class Notes for Days 9 and 10 on
*u*-substitution. - Assignment for Day 10 and Answers.
- There are two WebWorK assignments. The first is short (3 problems): WeBWorK Substitution1. Due Sunday at midnight.
- The second is longer: WeBWorK Day09. Due Tuesday at midnight.
- Class Notes for Days 9 and 10 on
*u*-substitution. - Assignment for Day 9 and Answers.
- Lab 3 with Answers.
- WeBWorK Day08.
- Assignment for Day 8 and Answers.
- Class Notes Day 8. Average Value and MVTI.
- WeBWorK Day07. Due Thursday night.
- Class Notes Day 7. The Fundamental Theorem of Calculus Part I.
- Handout for Day 7 and Answers. and Average Value Handout
- WeBWorK Day06 Due Monday night.
- Assignment for Day 6 and Answers.
- Class Notes Day 6. The Fundamental Theorem of Calculus and an application.
- Lab 2 and Answers.
- WeBWorK Day05 Due Saturday night.
- Assignment for Day 5 and link to Riemann sum calculator and Answers.
- Class Notes Day 5. The Definite Integral and its Properties. Also see Class Notes Day 4 for detailed Riemann Sum examples.
- WeBWorK Day04: Due Wednesday evening (five Riemann sum problems).
- Assignment for Day 4 and Answers.
- Class Notes Day 4 for detailed Riemann Sum examples. Also review the material online at Class Notes Day 3.
- WeBWorK Set Day03: Due Tuesday Night. You should be able to do the last 6 problems now (which are review) and some of the earlier ones.
- Assignment for Day 3 Due Monday 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, 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.
- WeBWorK Set Day02: Due Sunday Night. Summation notation and antidifferentiation review. (Remember the LHopital problems due Friday.)
- Assignment for Day 2 Due Friday in Class
- Class Notes Day 2 on sigma notation.
- WeBWorK Set LHopital: Due Friday night. A review of L'Hopital's Rule. See your text or the notes below.
- WeBWorK Set Day01: Due Thursday Night. A brief review of differentiation and antidifferentiation.
- WeBWorK Set0: Due Wednesday Night 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. 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 6: Applications: Arc Length. Work? Chapter 6.5 and 6.7 (pp 462-464).
- Week 7: Log and Exponential Functions, again. Integration by Parts. Chapters 6.8 and 7.2 and Handout. Review on your own: Chapter 7.1.
- Week 8: Trig Integrals (briefly). Trig (Triangle) Substitution. Chapter 7.3-7.4 and Handout.
- Thursday Week 9, October 29:
**Second Hour Test (in Lab)**. - Week 9: Partial Fractions (briefly). Improper Integrals. Chapter 7.5, 7.8.
- Week 10: Sequences and Series. Chapter 8.1-8.3.
- Week 11: The Divergence Test and Convergence Tests. Chapter 8.4-8.5.
- Week 12: Convergence Tests, continued. Alternating Series. Chapter 8.5-8.6.
- Monday, November 23:
**Third Hour Test (@7:40am)**. - Week 13: Thanksgiving Break Wednesday and Friday.
- 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.)

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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

Copyright © 2008-2013

Author: Kevin Mitchell (mitchell@hws.edu)

Department of Mathematics and Computer Science

Copyright © 2008-2013

Author: Kevin Mitchell (mitchell@hws.edu)