misc

• Wikipedia article on the binomial theorem

• Notes on the ILATE rule for integration by parts

• Notes on Heaviside’s method for partial fractions

• Conquering trigonometric integrals in Calculus 2 (10 pages)

• Videos on various integration topics.

  • Integrating sec³x by parts (5 minutes)
  • Volumes using Cylindrical Shells (20 minutes) 
    Five minute version
  • Volumes using Disks/Washers (21 minutes)
    Ten minute version
  • Partial Fraction Decompositions and Long Division (20 minutes)
  • Over 100 more calculus videos by PatrickJMT. Look for the calculus section.
  • Cow problem video.

If you wish to switch to Math 142, contact the 142 instructor whose section you’d like switch to.

The advantage of switching is that the course is easier and you are likely to get a better grade in it. The disadvantage is that it will probably mean you have to take an extra semester of mathematics.

Mathematica is now freely available to UR students! Download here UR NETID required.

WARNING: If you use this program to do your homework, you will not do well on the exams!

There will be more handouts soon.

Links you should look at

• Math will rock your world
  Business Week cover story of January 23, 2006

• Mathematical Aphrodisiac
  You have to try this.

• Archimedes (287-212 BC) Page
  The greatest mathematician of the ancient world.

• Archimedes Palimpsest Page
  How medieval monks almost destroyed a priceless mathematical treasure.

• Sophie Germain Page
  The 18th-century woman who assumed a man’s identity in order to pursue her passion for mathematics

• Zeno’s Paradox Page
  Calculus provides the solution to a 2000 year old riddle.

• Biographies of mathematicians
  Life stories of hundreds of mathematicians across the centuries.
  Click on “Full Mac Tutor biography” after finding the person you want.

• Wikipedia book on integration

• Wikipedia list of integrals

• Tennessee Table of Elementary Indefinite Integrals

• The paradox of Gabriel’s horn
  This will be covered in the course.

• Mathematics Survival Guide
  Check out the list of 15 common complaints about exams and homework.

• THE MOST COMMON ERRORS IN UNDERGRADUATE MATHEMATICS
  Reading this could help you avoid some of them.

• How to Study Mathematics
  Mathematics is like a sport. It can only be learned through active participation. or
  Watching the Red Sox is not the same as learning how to play baseball.

• UR’s most famous alumnus,
  the winner of the Mathematics Department’s Stoddard Prize, (given each year to the best sophomore math student) in 1968.

• Alan Turing, 1912–1954
  The father of computer science and war hero who was prosecuted for being gay.

• Fermat’s Last Theorem
  A centuries old problem that was finally solved in 1995.

• Gauss page
  His mathematical abilities and exploits caused his contemporaries to dub him princeps, and biographers customarily place him on a par with Archimedes and Newton.