# Noah White

University of Califonia,
Los Angeles

# Math 31B: Integration and Infinite Series

This is the course website for Math 31B: Integration and Infinite Series running in Spring 2017. All information about homework, quizes and exams will be posted here.

The syllabus contains information on the official policies for collaboration on homework, late homework, grading and changing grades.

We will be using Piazza for this class. See below for more information.

# Instructor, TAs and office hours

 Instructor: Noah White (noah@math.ucla.edu) Office hours: MS 6304, 10:30am-12pm Wednesday, 9:30-11am Friday TA: Mengyuan (Jeanine) Ding (mengyuanding@ucla.edu) Office hours: MS 2961, 12-1pm Tuesday William Baker (wsbaker@math.ucla.edu) MS 2905, 2-3pm Thursday Yuejiao Sun (sunyj@math.ucla.edu) MS 3915B, 9-10am Thursday

Please check back here as office hours and locations may change.

# Communication

Due to the fact that this is such a large class I would appreciate your help managing communication for the class.

Mathematical questions should be asked on Piazza (see below). In addition you should make use of my, and the TA’s, office hours. Administrative questions should in the first instance be directed to your TA. If your TA cannot resolve your query then you should contact me.

If you need to email me, the subject line must include the string math31b. If not, then there is a good chance your email will slip through the cracks and remain unanswered.

# Textbook

J. Rogawski, Single Variable Calculus, late transcendentals, 3rd Ed., W.H. Freeman & CO

Owning a copy of the textbook will be very helpful and is recommended however you might not find it necessary. I will post links to other sources here as time goes on. Feel free to buy an old or used copy of the textbook, it wont be necessary to own the third edition.

# Problem sets, homework and quizzes

There will be a problem set assigned every week. Most of these will not be collected however it is strongly recommended that you complete it.

In weeks 3, 6, and 8 (as indicated in the class schedule below) a small number questions from the problem set will be assigned as homework and collected and graded.

In weeks 2, 5, 7, and 10 a short quiz will be conducted in the discussion sessions. Questions on the quiz will be drawn from the problem set (or will be very similar to one of these questions). The lowest 2 scores out of all homeworks and quizzes will be dropped. The homework and quizzes will count for a total of 10% of your grade.

# Lecture notes

Here I will indicate which sections of the textbook will be covered in each lecture and the relevant problems in each problem set. It is recommended that you read the textbook and think about some of the problems before the lecture.

You will find links to the lecture notes and slides as they become available. They represent more or less what we covered in lectures but not exactly, depending on how many questions I got and if we ran out of time.

• Lecture 1: Section 7.2, functions and their inverses.
• Lecture 2: Section 7.1, exponentials.
• Lecture 3: Section 7.3, lograrithms.
• Lecture 4: Section 7.8, inverse trig functions.
• Lecture 5: Section 7.9, hyperbolic trig functions.
• Lecture 6: Section 9.4, Taylor polynomials.
• Lecture 7: Section 9.4, Taylor polynomials and errors.
• Lecture 8: Partial fractions.
• Lecture 9: Partial fractions and review.
• Lecture 10: Sections 7.7 and 8.1, integration by parts and L’Hopital’s rule
• Lecture 11: Section 8.7, improper integrals, discontinuities.
• Lecture 12: Section 8.7, improper integrals, infinite domains.
• Lecture 13: Section 8.7, improper integrals examples.
• Lecture 14: Section 11.1, sequences and convergence.
• Lecture 15: Section 11.1, bounded monotone sequences.
• Lecture 16: Section 11.2, series.
• Lecture 17: Section 11.3, series with positive terms.
• Lecture 18: Section 11.3, limit comparison test and examples.
• Lecture 19: Section 11.4, alternating series.
• Lecture 20: review.
• Lecture 21: Section 11.5, ratio and root tests.
• Lecture 22: Section 11.6, power series.
• Lecture 23: Section 11.6, power series as functions.
• Lecture 24: Section 11.7, Taylor series.
• Lecture 25: Section 11.7, Taylor series.
• Lecture 26: review.
• Lecture 27: review.

# Exams

There will be two midterms and a final exam. Apart from the exceptions mentioned below, only writing equipment will be allowed in exams. Exams must be written in pen.

• Midterm 1: 8-8:50am Monday, 24 April, 2017
• Midterm 2: 8-8:50am Monday, 22 May, 2017
• Final Exam: 6:30-9:30pm Monday, 12 June, 2017

Cheatsheets: For each exam, students may bring a cheat sheet. Each student must prepare their own handwritten cheat sheet. For the midterms, the cheat sheet may consist of one side of half a standard (A4 or letter) sheet of paper (i.e. A5 or letter folded in half lengthways). For the final, the cheat sheet may consist of one side of a standard sheet of paper. Cheatsheets that do not meet these requirements will be confiscated at the beginning of the exam.

Calculators: You may use a non-programmable, non-graphing calculator in exams. Calculators not meeting this specification will be confiscated.

Study: Here I will post some practice exams which might aid your study.

The midterm scores will be adjusted to account for any difference in difficulty. Your final grade will be calculated using the maximum of the following two grading schemes. Your letter grade will then be determined by your rank in the class. Unless something very out of the ordinary occurs I expect to give approximately 20-30% A’s and 55-65% A’s and B’s combined.

Option 1:

10% (5 best homework/quiz scores) +
40% (combined midterm scores) +
50% (final exam score)


Option 2:

10% (5 best homework/quiz scores) +
30% (best midterm score) +
60% (final exam score)


Effectively, this will mean that unless you score worse in the final than both midterms, your lowest midterm score will be dropped. This also means missing one midterm probably will not impact your grade in any serious way.

# Schedule

This is a tentative schedule. Apart from the dates of exams, it may change. Numbers refer to sections of the textbook.

Monday Tuesday Wednesday Thursday Friday
1. 4/31
7.1-2
4/4
4/52
7.3
4/5
4/73
7.8
2. 4/104
7.9
4/11
Quiz 1
4/125
9.4
4/13
Quiz 1
4/146
9.4
3. 4/177
8.1
4/18
4/198
8.5
4/20
4/219
7.7HW 1
4. 4/24
Midterm 1
4/25
4/2610
9.1
4/27
4/2811
8.7
5. 5/112
8.7
5/2
Quiz 2
5/313
11.1
5/4
Quiz 2
5/514
11.1
6. 5/815
11.2
5/9
5/1016
11.3
5/11
5/1217
11.3HW 2
7. 5/1518
11.4
5/16
Quiz 3
5/1719
11.4
5/18
Quiz 3
5/1920
11.5
8. 5/22
Midterm 2
5/23
5/2421
11.5
5/25
5/2622
11.6
9. Mem. Day
(no class)
5/30
5/3123
11.6
6/1
6/224
11.7HW 3
10. 6/525
11.7
6/6
Quiz 4
6/726
Review
6/8
Quiz 4
6/927
Review

# Piazza

Piazza is a question and answer style forum which we will be using for this class.

You can ask questions, either as yourself or anonymously. I highly encourage you to also try answering others’ questions. Teaching others is by far the most effective way to learn and solidify what you already know. The TAs and I will monitor the discussion and answer questions occasionally.

Obviously homework questions and solutions should not be posted on Piazza. Offences will be treated as academic dishonesty/cheating.