# 031 B/1 - Integration and Infinite Series - Fall 2011 - UCLA

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Time: 9am MWF for lectures and 9am T or R for discussion.
Place: Lectures: WG Young Hall CS 76. Discussion: various..

E-mail: antieau@math.ucla.edu.
Phone: 310-825-3068.
Course webpage: `www.math.ucla.edu/~antieau/201104-031b.html`
Course discussion site: `piazza.com`

Office hours: 10-11 Monday, 10-11 Wednesday, and 10-11 Friday in my office, MS 6617D.
TAs: Jack Buttcane (runman@math.ucla.edu), Kevin Chapman (kchapman@math.ucla.edu), and Theodore Gast (tfg@math.ucla.edu)
TA office hours:.

Book: Rogawski, Single Variable Calculus, Second Edition, Freeman, ISBN-13: 978-1-4292-3189-3. Note that any version of the book is acceptable. However, if there are differences in numbering between the editions (I don't know if there are), then it is your responsibility to read the correct sections and do the correct exercises.

Course outline:
• 09/23 - Derivatives of exponential functions (7.1). Rogawski 7.1.
• 09/26 - Inverse functions (7.2).
• 09/28 - Logarithms and their derivatives (7.3).
• 09/30 - Exponential growth and decay (7.4).
• 10/03 - Compound interest, present value, and models involving y'=k(y-b) (7.5, 7.6).
• 10/05 - L'Hopital's rule (7.7).
• 10/07 - Integration by parts (8.1).
• 10/10 - Trigonometric integrals and trigonometric substitution (8.2, 8.3).
• 10/12 - Partial fractions (8.5).
• 10/14 - Midterm 1. Midterm 1 will cover up to trigonometric integrals and trigonometric substitution. Practice midterm 1, solutions. Midterm 1 solutions.
• 10/17 - Improper integrals (8.6).
• 10/19 - Numerical integration (8.8).
• 10/21 - Error bounds for numerical integration (8.8).
• 10/24 - Arc length (9.1).
• 10/26 - Taylor polynomials (9.4).
• 10/28 - Error bound for Taylor polynomials (9.4).
• 10/31 - More on Taylor polynomials (9.4).
• 11/02 - Sequences and infinite series (11.1).
• 11/04 - Midterm 2. Midterm 2 will cover up to error bounds for Taylor polynomials. Practice midterm 2, solutions. Midterm 2 solutions.
• 11/07 - Infinite series (11.2).
• 11/09 - Infinite series (11.2).
• 11/11 - Veterans' Day Holiday. No class.
• 11/14 - Convergence of series with positive terms (11.3).
• 11/16 - Conditional convergence (11.4).
• 11/18 - Ratio and root tests (11.5).
• 11/21 - Power series (11.6).
• 11/23 - Power series (11.6).
• 11/25 - Thanksgiving Holiday. No Class.
• 11/28 - Taylor series (11.7).
• 11/30 - Taylor series (11.7).
• 12/02 - Review.
• 12/06 - Final. The final will be cumulative. The final will take place from 3:00pm to 6:00pm on Tuesday 6 December. Practice final, Practice final solutions. Final solutions.

Homework: (note that you should show all work to receive full credit.)
• Week 2 (due 9/27 and 9/29) - 7.1: 12-52 even, 60, 70-76 even, 88, 94-95. Rogawski 7.1.
• Week 3 (due 10/04 and 10/06) - 7.2: 8-18 even, 24-30 even, 34-38 even. 7.3: 2-26 even, 30-56 even, 66-78 even, 86-104 even. 7.4: 6, 8, 12, 14, 28. Rogawski 7.2-4.
• Week 4 (due 10/11 and 10/13) - 7.5: 1-14. 7.6: 1, 2, 3, 4, 17-22. 7.7: 1-15 odd, 18-30 even, 38-50 even. 8.1: 1-15 odd, 18-48 even. Rogawski 7.5-7 and 8.1 exercises.
• Week 5 (due 10/18 and 10/20) - 7.8: 1-19 odd, 59-65 odd. 8.2: 2-12 even, 16-32 even. 8.3: 5-9 odd, 16-24 even, 37-41 odd. 8.5: 5, 7, 10-20 even, 24-28 even.
• Week 6 (due 10/25 and 10/27) - 8.6: 5-15 odd, 16-40 even, 62-69, 71-74, 78. 8.8: 1-11 odd, 14-16 even, 42-50.
• Week 7 (due 11/01 and 11/03) - 9.1: 1-9 odd, 12, 14, 33-39 odd. 9.4: 1-11, 13-28, 33, 35, 42, 44, 54.
• Week 9 (due 11/15 and 11/17) - 11.1: 3-7 odd, 13-29 odd, 36-70 even. 11.2: 1-5 odd, 11, 17-21 odd, 24-38 even.
• Week 11 (due 11/29 and 12/01) - 11.3: 2-14 even, 20-36 even, 40-46 even. 11.4: 4-10 even, 17-31 odd. 11.5: 1-19 odd, 44-56 even. 11.6: 9-39 odd, 51. 11.7: 3-9 odd, 29-38.

Policies:
• I encourage everyone to work in groups on the homework.
• I encourage everyone to use the free discussion board piazza.com for discussion of the class. You may go to their website, and enroll in MATH 31B/1. This is a site that allows everyone to ask and answer questions. It is my hope that you will help each other out on the site, but I would prefer you restrict the questions to questions about the content, instead of simply about the homework. I don't want to see all of the homework solutions posted there. If there are questions about policies, exams, etc, please post them on piazza as well. I will answer them there so that the answers will be public and useful to other students.
• There will be 8 homework assignments. Homework is due in section.
• No late homework will be accepted.
• The grade will be based on 5% homework, 25% midterm 1, 25% midterm 2, 45% final.
• If you wish to request an accommodation due to a disability, please contact the Office for Students with Disabilities as soon as possible at A255 Murphy Hall, (310) 825-1501, (310) 206-6083 (telephone device for the deaf). Website: www.osd.ucla.edu.
• This class will use the myUCLA gradebook facility.
• A grade of 'F' will be assigned to any student who misses the final. Incompletes are reserved for those who have completed all of the work for the class, including the midterm, but who, for a legitimate, documented reason, miss the final.
• Use of phones is strongly discouraged during class.
• Come to office hours!
• There is a Student Math Center, located in MS 3974, which offers free individual and group tutoring for all lower division math courses. This is a walk-in service. No appointments are necessary. Its hours are 9am-3pm Monday-Thursday, and it opens Monday 26 September 2011.

Catalogue description: Lecture, three hours; discussion, one hour. Requisite: course 31A with grade of C- or better. Not open for credit to students with credit for course 3B. Transcendental functions; methods and applications of integration; sequences and series. P/NP or letter grading.