Math 31B, Lecture 6

Lecturer: John Leo
Lecture: MWF 12-12:50pm, MS 6627
Office: MS 6147
Email: (be sure to mention Math 31B in the subject)
Course webpage:

Office Hours: Mon 10-11 and 1-2, Fri 1-2, and by appointment.  For finals week see here.

TA: Jane Sherman
Discussion: Tues 12-12:50pm, MS 6627
Email address, office hours and other information are on her web page.

Other sources of help include the Student Math Center, the Math/Science Tutorials, and private tutors.



Syllabus and Schedule

I will follow the standard Math 31B Syllabus.  Note that for sections 7.2 to 7.4 I will follow the normal sequence (the unstarred sections on white paper).  You are responsible for reading the textbook, and I highly recommend reading the relevant section(s) before lecture so that you can ask questions about anything that was unclear.  Homework is due each Wednesday in lecture and will cover material up to and including Monday's lecture.  You should work on each part of the assignment immediately after the corresponding lecture rather than saving everything for the last minute.  In fact it's a great idea to read ahead and start thinking about the problems before lecture!

Week Monday Wednesday Friday
1 January 8, Section 7.2
Exponential Functions
January 10, Sections 7.3, 7,4
Log Functions and Derivatives
January 12, Sections 7.5, 7,6
Inverse Trig and Hyperbolic Functions
2 January 15
January 17, Section 7.7
Indeterminate Forms
Homework 1 due
January 19, Section 8.1
Integration by Parts
3 January 22, Sections 8.2, 8.3
Trig Integrals and Substitution
January 24, Section 8.4
Partial Fractions
Homework 2 due
January 26, Section 8.7
Approximate Integration
4 January 29, Section 8.8
Improper Integrals
January 31, Sections 9.1, 9.2
Arc Length and Surface Area
Homework 3 due
February 2
Midterm 1 in MS 5200
covering up to Section 8.7
5 February 5, Section 12.1
February 7, Section 12.1
Homework 4 due
February 9, Section 12.2
6 February 12, Section 12.2
February 14, Section 12.3
Integral Test, Sum Estimates
Homework 5 due
February 16, Section 12.4
Comparison Tests
7 February 19
February 21, Section 12.5, 12.6
Alt Series, Abs Convergence
Homework 6 due
February 23
Midterm 2 in MS 5200
covering up to Section 12.4
8 February 26, Section 12.6
Ratio and Root Tests
February 28, Section 12.8
Power Series
Homework 7 due
March 2, Section 12.8
Power Series
9 March 5, Section 12.9
Functions as Power Series
Extra-Credit Paper rough draft due
March 7, Section 12.10
Taylor Series
Homework 8 due
March 9, Section 12.10
Taylor Series
10 March 12, Section 12.11
Binomial Series
March 14, Section 12.12
Taylor Polynomials
March 16, Review
Homework 9 due
Extra-Credit Paper final draft due

Final Exam

Tuesday, March 20, 3-6pm, in MS 5200.


Your grade will be based on Homework (10%), two Midterms (20% each), and the Final Exam (50%).

You must take the final exam to pass the class.  Midterm dates are listed in the schedule.  There are no make-ups for exams.  If you have an excused absence from a midterm, your grade will be based on the remaining components, re-weighted  appropriately.  All exams are closed book with no calculators allowed.  You need only bring something to write with; all paper will be provided.  Solutions to the midterms and final will be posted to this web page immediately after the exam.

Although homework is only given 10% of the grade, it is the most important part of the course.  You must put serious effort into doing the homework to really learn the material, which is the true goal of the course.  You may work with other students and get help with the problems, but you should try to solve every problem on your own first, and you must write up and be sure you understand all solutions on your own.

There are nine homework assignments, due Wednesday of every week (except the first week) in lecture.  No late homework is accepted.  You may replace your two lowest homework scores with the extra-credit paper (see below), but be sure to still complete every assignment.

Five problems (possibly four for shorter assignments) will be carefully graded from each assignment.  Each homework assignment will be worth 20 points.  The graded problems will be worth 15 points.  The remaining 5 points will be for general completeness, readability and correctness.  (If four problems are graded those problems will be worth 16 points with 4 points for completeness and so forth.)  Homework solutions will be posted after the due date, and graded homework will be returned in the next discussion section.

All grade information including the final course grade will be available on the MyUCLA gradebook.

Extra-Credit Paper

Most students who take calculus are not math majors, and most wonder what relevance calculus has to their major and the topics they are really interested in.  Here is your chance to find out!  For extra credit, you may write a paper (ideally 3-5 pages) describing a subject you are interested in studying and how calculus is useful for the subject.  This is a great excuse to look ahead to future classes or career plans, and to talk with upper classmen, graduate students, and especially professors in your area and find out what mathematics you should be learning and how it will be used.  Be sure to include all references, whether they be books or verbal communication.

If you wish to write a paper, let me know as soon as possible and I'll be happy to help you come up with a topic.  You must turn in a rough draft by the Monday lecture of the 9th week (March 5).  I will not accept an extra-credit paper if you don't hand in the rough draft on time.  I'll give you feedback on the rough draft, hand it back to you by Friday, March 9, and you must hand in the final paper by the last day of class: Friday, March 16.  Note that I will only accept paper copies of the rough draft and final paper.  I will not accept electronic copies.

The extra-credit paper is worth 40 points and will replace your two lowest homework scores, if it is higher.  I highly encourage everyone to write it even if you plan to get perfect scores on all your homework assignments (which you should!).