Course: MATH 31B, Integration and Infinite Series, Lecture 3,
Prerequisite: MATH 31A, with a grade of C- or
Course Content: Transcendental functions (such as the
exponential and logarithm functions); methods and applications of
integration; sequences and series.
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
Iyer, G. S., geoff.iyer(@-symbol)gmail.com; Coley, I. A.,
iacoley(@-symbol)math.ucla.edu; Barnicle, M. G.,
TA Office Hours:Iyer, Thursdays
2PM-3PM, MS 6160;
Coley, Thursdays 1130AM-1230PM, MS 3903; Barnicle, Thursdays 10AM-11AM, MS
Discussion Session Meeting Time/Location:
Required Textbook: J. Rogawski, Single Variable Calculus,
Second Edition, W.H. Freeman & Co.
- 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
Other Textbooks (not required): Calculus, Thomas. Calculus,
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.
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.
- My email address for this course is heilman(@-symbol)ucla.edu
- It is your responsibility to make sure you are receiving emails from
, and they are not being sent to your spam folder.
- Do NOT email me with questions that can be answered from the
- 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 Resources: Here is a
page containing old exams for another 31B class. Here is another
old exams for another 31B class. Note that the material on the particular exams may be
slightly different than our own exams.
- 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
- 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.
- 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
- Quizzes will be administered in your discussion section, which is on either
Tuesday or Thursday. Each quiz should last about 15 minutes.
- 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
- 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
|Week|| Monday || Tuesday || Wednesday || Thursday
|| Friday |
||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,
||Apr 17: Homework 3 due. 8.5, Method of partial fractions|
||Apr 20: Midterm #1
|| Apr 22: 8.6, Improper integrals
||Apr 24: Homework 4 due. 8.8, Numerical integration
||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
||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
|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
||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.
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
Strategies, and come to office hours.