HOME PAGE FOR MA 127: Enhanced Calculus

For general information on my office and office hours, please see my home page.

Please read the General course information page. This page includes information on

• Academic Conduct
• Grading Criteria
• General Information and Philosophy

For a list of things that annoy me see gripes.

For instructions on how to write up your homework assignments, see instructions.

For additional math help see this list.

Sample problems for the frist exam here

Solutions for Midterm 1 here

Solutions of Differential Equations with Power Series Home work (due Oct 23) here

Here are some hard integrals (numbers 7,8,9) here

Some comments on some of the chapter 6 homework problems here

Some sample problems for midterm 2 here

Class notes from Nov. 13 (cosh and sinh) here

Midterm 2 solutions here

Basic review problems with answers (For most of these, wolframalfa will give you the steps) here

Some review problems on Taylor's inequality here

Some review "essay" questions here

Solutions to the review problems (the extra assignment after Exam 1) on sequences and series here. I suggest you re-do these problems (without peaking) as practice for the final!

Still more review problems on series here. It's all about doing problems!

You have done a year of Calculus which is enough to do some amazing things (they aren't easy, but you have all the tools!).

Here is a list of Books on Celestial Mechanics.

• Celestial Encounters by Florin Diacu and Philip Holmes--this is another book on the solution of some of the modern problems in Celestial Mechanis--it is slightly technical, but still not a hard read. Also, Phil Holmes will be here to give a general audience talk in the spring (watch for fliers around the math department), I'm sure he would sign your copy! (He is a great speaker!)
• Newton's Clock by Ivars Peterson: This is a popular book on the discovery of "Chaos" in Celestial Mechanics, nice vacation read.
• Adventures in Celestial Mechanics: A First Course in the Theory of Orbits by Victor G. Szebehely: This is more of a text--a book to study.
• Gravitation: An Elementary Explanation of the Principal Perturbations in the solar system by G.B. Airy--This is an amazing little book, written in the 1800's explaining many interesting problem in the motion of the moon and planets (e.g., the 19 year cycle in solar eclipses, the exact relationship between Jupiter's moons, ...) without any Calculus. Not an easy read, but really amazing what you can do if you just sit and think!

Some more general books--doing interesting problems and some using some Calculus...

• Nonplussed! by J. Havil
• Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics by R. Banks
• Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics by R. Banks
• Duelling Idiots and Other Probability Puzzles by P Nahin