Test 4 will be Thursday, Apr 17. It covers the material through 10.6.You may bring these notes to the test. Infinite Series Notes Infinite Series Notes pdf format or MS-word doc
Test 3 will be Thursday, Mar 27. It covers the material through 8.4.
Test 2 will be Thursday, Feb 27. It covers the material through 7.4.
Test 1 will be Thursday, Jan 30. It covers the material through 5.6.
Text: Calculus, by Jon Rogowski. (2nd edition - early transcendentals version). Textbook Options We will cover section 4.9, chapters 5, 6, 7 and 10.
Tests: There will be four hour tests, plus a comprehensive final exam.
Homework: Homework problems will be done using webassign. Homework will be assigned every class day. It is important to keep up with the assignments. The best way to learn math is to struggle with lots of problems. The homework will count as much as a test (16%).
Grades: The 4 tests and the homework will count for 80% of the grade and the final exam 20% of the grade. Neither tests nor the homework will be dropped. On the homework, I will not count all of the available points, so anyone who works faithfully at it will get a good homework grade. Grades will be computed on a scale no more stringent than the standard university scale of 90-100% A, 87 - 89% A-, 83 - 86 B+, 80-82% B, 77 - 79% B-, etc. Some consideration will be given to steady improvement throughout the term; of course consideration will also be given to a steady decline throughout the term.
Calculator: You should have a graphing calculator for this course. The Math Dept recommends the TI-84, But you are not required to have this particular model. For example, any TI graphing calculator (the TI - 81 or 82) or Sharp or Casio is fine. You will always be allowed to use a calculator on tests, but you may only use a calculator that does not have symbolic algebraic routines, so no TI-89's, Ti-92's or the like.
1. Let R be the region bounded by y = x 2 and y = x + 2. Find:
a) the area of R
b) the volume of the solid if R is rotated about the x-axis
c) the volume of the solid if R is rotated about the the line x = 4
2. a) Find and compute exactly.
b) Use the numerical integrator on your calculator (TI-X; X < 86) to find with b = 10; b = 100; b = 10,000 and b = 106. Write down the calculator you are using.
c) Do the answers in b) make sense? Explain.
3. Let R be the region from problem #1 and assume its density is k. Find the center of mass of R.
4. Find a function f(x) such that f(0) = 0 and whose first 7 derivatives at x = 0 are 1, 2, 3, 4, 5, 6, and 7.