Math 32, Clark Bray

Math 32
2009-10, Fall
Clark Bray

Instructor

Clark Bray, 035 Physics Building, 660-2822, cbray@math.duke.edu

Office hours:

Times	Locations
Monday, 2:20-2:50pm Wednesday, 2:30-2:50pm Friday, 2:30-3:05	9.127 (between Math 32 classes; I might be a few minutes late on WF's...)
Tuesday, 4-5pm	Carr 132 (Help Room) (Note, you are welcome to attend ALL helproom hours. See complete listing.
by appointment, if necessary	035 Physics

Course Information

General Policies -- Students are required to have read all of the text at this link!

General Comments -- Students are required to have read all of the text at this link!

Exams, Homeworks, and Grading -- Students are required to have read all of the text at this link!

Mathematics Department's Math 32 Course Homepage -- This page contains much of the information for the course, including the course syllabus (I recommend printing the syllabus and posting it in a convenient place) and textbook information.

Lecture Schedule -- This is an approximate schedule of which lessons from the syllabus will be covered on a given class day. It also gives the dates for the midterm exams.

Blackboard -- There are TWO Blackboard sites containing information relevant to students in this class. One is for all students enrolled in 32, containing study materials and information about the course. The other is only for students enrolled in my class; this will only be used for recording and reporting grades. Your exam grades will be (securely) posted there so that you can know your grades as quickly as possible, and so that you can verify that they have been recorded correctly.

Other Useful Links

Math Information for First-Year Students -- This page has many useful links; make sure to familiarize yourself with it.

Exam 1 Solutions

Exam 2 Solutions

Maclaurin and Taylor Series Representations -- This is a list of common Taylor and Maclaurin series. By the time we finish covering this material in class, you should make sure to know how to derive all of these comfortably, and are encouraged to memorize 1-4 and as many of the others as you can.

Using Taylor Polynomials to Approximate Functions -- This is a list of problems, with answers, showing explicit examples of how you can use series to approximate the values of functions. These are the problems listed as "handout" in lecture 25 on the syllabus.

Tests for Determining Convergence or Divergence of a Series -- This is a list of the most useful definitions, facts, and convergence tests for series.

Values of Sine and Cosine at Standard Angles -- All students are strongly advised to know the values of the six trig functions at the standard angles (all multiples of pi/4 and pi/6); this short commentary and the linked diagram will help you both remember these values, and understand the fundamental relationship between trigonometry and the unit circle.

The Remainder Theorem and the Factor Theorem -- These are fundamental facts about polynomial algebra, and they are simply stated and easy to prove; but for some reason they are not covered in most high school curricula any more. I strongly encourage students to look at this brief description and ensure an understanding of these theorems and their proofs. (But don't worry about the example on the second page.)

The Most Common Errors In Undergraduate Mathematics -- This is a collection of common errors that befall many students; you may find that reading this will help you avoid errors on exams in the future.

My other Course Websites -- Students can find here all of the websites for every course I have ever taught.

Rann Bar-On Worksheets and PDF files -- These are files that Rann Bar-On created and used with his class in a recent semester. You might find these to be interesting reading, and perhaps a useful resource for studying.

He has made these files available for your use through a Creative Commons license. Please make sure to respect the details of that license, linked below.

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.