Integration and Infinite Series, Spring 2015

Course: MATH 31B, Integration and Infinite Series, Lecture 3, Spring 2015
Prerequisite: MATH 31A, with a grade of C- or better.
Course Content: Transcendental functions (such as the exponential and logarithm functions); methods and applications of integration; sequences and series.
Syllabus: here. Last update: 11 May 2015
Instructor: Steven Heilman, heilman(@-symbol)ucla.edu
Office Hours: Mondays, 9AM-111AM, Wednesdays 1PM-2PM, MS 7370
Lecture Meeting Time/Location: Monday, Wednesday and Friday, 3PM-350PM, MS 4000A
TA: , Iyer, G. S., geoff.iyer(@-symbol)gmail.com; Coley, I. A., iacoley(@-symbol)math.ucla.edu; Barnicle, M. G., barnicle(@-symbol)ucla.edu
TA Office Hours:Iyer, Thursdays 2PM-3PM, MS 6160; Coley, Thursdays 1130AM-1230PM, MS 3903; Barnicle, Thursdays 10AM-11AM, MS 2954
Discussion Session Meeting Time/Location:

3A, Tuesday, 3PM-350PM, MS 5117. Iyer, G. S. http://www.math.ucla.edu/people/grad/gsiyer
3B, Thursday, 3PM-350PM, MS 5117. Iyer, G. S. http://www.math.ucla.edu/people/grad/gsiyer
3C, Tuesday, 3PM-350PM, MS 5118. Coley, I. A. http://www.math.ucla.edu/~iacoley
3D, Thursday, 3PM-350PM, MS 5118. Coley, I. A. http://www.math.ucla.edu/~iacoley
3E, Tuesday, 3PM-350PM, MS 5137. Barnicle, M. G. http://www.math.ucla.edu/~barnicle
3F, Thursday, 3PM-350PM, MS 5137. Barnicle, M. G. http://www.math.ucla.edu/~barnicle

Required Textbook: J. Rogawski, Single Variable Calculus, Second Edition, W.H. Freeman & Co.
Other Textbooks (not required): Calculus, Thomas. Calculus, Strang
First Midterm: April 20, 3PM-350PM. Last names A though Ka: Bunche 1209B. Last names Kh through Z: MS 4000A
Second Midterm: May 11, 3PM-350PM. Last names A through Ka: Bunche 1209B. Last names Kh through Z: MS 4000A
Final Exam: June 8, 630PM-930PM, Ackerman Grand Ballroom
The Student Math Center in MS 3974 offers group study and tutorials. See their schedule here.
Other Resources: Applets by Flash&Math
Email Policy:

My email address for this course is heilman(@-symbol)ucla.edu
It is your responsibility to make sure you are receiving emails from heilman(@-symbol)ucla.edu , and they are not being sent to your spam folder.
Do NOT email me with questions that can be answered from the syllabus.
Homework questions sent to me by email will be answered altogether in the form of a "digest." I will get to every question, but I cannot reply to every email. This digest will be sent out typically two days before the homework is due.

Exam Procedures: Students must bring their UCLA ID cards to the midterms and to the final exam. Phones must be turned off. Cheating on an exam results in a score of zero on that exam. Exams can be regraded at most 15 days after the date of the exam. If you are an OSD student, I would encourage you to discuss with me ways that I can improve your learning experience; I would also encourage you to contact the OSD office to confirm your exam arrangements at the beginning of the quarter.
Exam Resources: Here is a page containing old exams for another 31B class. Here is another page containing old exams for another 31B class. Note that the material on the particular exams may be slightly different than our own exams.

Homework Policy:

Late homework is not accepted.
You may not use the internet to try to find the answers to homework problems.
The lowest two homework scores will be dropped. This policy is meant to account for illnesses, emergencies, etc.
Do not submit homework via email.
There will be 10 homework assignments, assigned weekly on Friday and turned in at the beginning of class on the following Friday. In the second and eighth week of the quarter, the homework will not be turned in, and instead there will be a quiz in the discussion section.
A random subset of the homework problems will be graded each week. However, it is strongly recommended that you try to complete the entire homework assignment.
Collaboration on homeworks is allowed and encouraged.
All homework assignments must be written by you, i.e. you cannot copy someone else's solution verbatim.
Label your homework with the lecture number and the discussion section number.
Homework solutions will be posted ... (time)
Reading the syllabus counts as one homework grade. In order to receive credit for reading the syllabus, you must read the syllabus by April 3, noon, PST.

Quiz Policy

There will be two quizzes, administered in the second and eigth weeks of class. In the second and eigth weeks of class, the homework will not be turned in, and instead, the quiz will count for the homework grade. The problems from the quiz will closely resemble or be identical to problems from the homework from that particular week.
Quizzes will be administered in your discussion section, which is on either Tuesday or Thursday. Each quiz should last about 15 minutes.

Grading Policy:

The final grade is weighted as the larger of the following two schemes. Scheme 1: homework (15%), the first midterm (20%), the second midterm (25%), and the final (40%). Scheme 2: homework (15%), largest midterm grade (35%), final (50%). The grade for the semester will be curved. However, anyone who exceeds my expectations in the class by showing A-level performance on the exams and homeworks will receive an A for the class.
We will use the MyUCLA gradebook.
If you cannot attend one of the exams, you must notify me within the first two weeks of the start of the quarter. Later requests for rescheduling will most likely be denied.
You must attend the final exam to pass the course.

Tentative Schedule: (This schedule may change slightly during the course.)

Week	Monday	Tuesday	Wednesday	Thursday	Friday
1	Mar 30: 7.1, Derivatives of exponential functions		Apr 1: 7.2, Inverse functions		Apr 3: Homework 1 due. 7.3, Logarithms and their derivatives
2	Apr 6: 7.4, Exponential growth and decay	Quiz in section	Apr 8: 7.5-7.6, Compound interest, logistic growth	Quiz in section	Apr 10: Homework 2 (ungraded). 7.7, L'Hopital's Rule
3	Apr 13: 8.1, Integration by parts		Apr 15: 8.2,8.3, Trigonometric integrals, trigonometric substitution		Apr 17: Homework 3 due. 8.5, Method of partial fractions
4	Apr 20: Midterm #1		Apr 22: 8.6, Improper integrals		Apr 24: Homework 4 due. 8.8, Numerical integration
5	Apr 27: 8.8, Error bounds for numerical integral		Apr 29: 9.1, Arc length		May 1: Homework 5 due. 9.2, Fluid pressure and force
6	May 4: 9.4, Taylor polynomials		May 6: 9.4, Taylor's Theorem, error bounds		May 8: Homework 6 due, 11.1, Sequences and Infinite Series
7	May 11: Midterm #2		May 13: 11.2, Infinite Series		May 15: Homework 7 due, 11.2, More Infinite Series
8	May 18: 11.3, Convergence of series with positive terms	Quiz in section	May 20: 11.4, Conditional Convergence	Quiz in section	May 22: Homework 8 (ungraded). 11.5, Ratio and root tests
9	May 25: No class		May 27: 11.6, Power Series		May 29: Homework 9 due. 11.6, More Power Series
10	Jun 1: 11.7, Taylor Series		Jun 3: 11.7, More Taylor Series		Jun 5: Homework 10 due. Review of course

Advice on succeeding in a math class:

Review the relevant course material before you come to lecture. Consider reviewing course material a week or two before the semester starts.
When reading mathematics, use a pencil and paper to sketch the calculations that are performed by the author.
Come to class with questions, so you can get more out of the lecture. Also, finish your homework at least two days before it is due, to alleviate deadline stress.
Write a rough draft and a separate final draft for your homework. This procedure will help you catch mistakes.
If you are having difficulty with the material or a particular homework problem, review Polya's Problem Solving Strategies, and come to office hours.

Homework

HW1 HW2 HW3 HW4 HW5 HW6 HW7 HW8 HW9 HW10 (solutions removed)

Homework Digest

HW1 HW2 HW3 HW4 HW5 HW6 HW7 HW8 HW9 HW10

Exam Solutions

(solutions removed)

Supplementary Notes

Math 31B Lecture Notes