# Math 292: Honors Calculus IV, Spring 2012

**Location**: SERC 204, Busch Campus

**Time**: 5:00 PM – 6:20 PM on Thursdays

**Lecturer**: Eric Carlen, *carlen [at] math [dot] rutgers [dot] edu*

**Peer Mentor**: Mark Kim, *markhkim [at] dimax [dot] rutgers [dot] edu*

Jump to: general information | course material: LaTeX / problem sets

### General Information

This is the honors version of ordinary differential equations, decidedly dissimilar from Math 244 or Math 252. Please check Professor Carlen’s course page for detailed information. This course, Honors Calculus III (Math 291), and Honors Introduction to Mathematical Reasoning (Math 300H) serve as a preparation for the honors sequence in mathematical analysis (Math 411-412)—and, to a lesser extent, the honors sequence in abstract algebra (Math 451-452). These honors sequences consist of permission-only courses, so you should consult Professor Eric Carlen (your lecturer), Professor János Komlós (the lecturer of 300H, typically), or Professor Simon Thomas (the chair of the Undergraduate Honors Committee) if such an opportunity sounds enticing to you. There is also the undergraduate mathematics honors track: again, talk to Carlen, Komlós, or Thomas about it if you are interested.

**Office Hours** do not officially exist, as I am not required to hold
them for this course. Please send me an email if you need to see me.

### Course Material

#### LaTeX

An additional requirement for this semester’s workshop write-ups is to have them written in LaTeX. LaTeX (pronounced “lay-tec” or “lah-tec”) is a document preparation system developed by Leslie Lamport, which works on top of Donald Knuth‘s TeX typesetting system. With LaTeX, typing a complicated formula like

can be done easily.

In order to use LaTeX (comfortably), two things must be installed: a LaTeX engine and an integrated development environment for LaTeX. The instruction depends on your operating system:

- Windows – Go to the MiKTeX project page and download the current version of MiKTeX. I would recommend downloading the Net Installer, but you can go for the Basic Installer if you don’t have a lot of disk space on your computer. The installation process should be self-explanatory—should you require extra assistance, the MiKTeX download page comes with a user-friendly manual. Once you’re done, install TeXnicCenter; if you are used to the famous Java IDE Eclipse, then you might want to try out TeXlipse instead.
- Mac – Go to the MacTeX page and download the current version of MacTeX. The full MacTeX package is recommended, but you can donwload the BasicTeX package and the corresponding MacTeX-Additions if you don’t have a lot of disk space on your computer. In either case, the installation comes with two editors—TeXShop and TeXWorks—which you may choose to use, or you could install Latexian. Again, TeXlipse works here as well.
- Linux – Install TeXLive, which is on the canonical list of packages for most major distros. Download TeXLive-Full if you can, but do go for the basic version if space is at a premium. As for an IDE, I would recommend Kile. If you don’t like KDE softwares, then you will have to find your own! (Of course, you can use gedit, emacs, or vim, but let’s not go there.)

Once the installation process is over, download this sample file. Open it with your editor of choice, and play around with it for a bit! (Not sure how the output file should look like? Here’s the pdf file.)

#### Problem Sets

**Problem Set 1**– Problems | LaTeX shell**Problem Set 2**– Problems | LaTeX shell**Problem Set 3**– Problems | LaTeX shell**Problem Set 4**– Problems | LaTeX shell**Problem Set 5**– Problems**Problem Set 6**– Problems