Integral calculus course webpage

Administrative

• SM122 policy statement,
• Syllabus for Fall 2012-2013: pdf,

Sample Tests and quizzes

• An old final from 2009-2010, with solutions.
• A old test 1 (from a slightly different syllabus, so be careful),
• A old test 2 (from a slightly different syllabus, so be careful),
• A old test 4 (from a slightly different syllabus, so be careful).
• Old final exams, and with solutions.

Lecture notes (pdf files)

Under construction, but see these partial notes.

Useful links

• Online course in Calculus
• online videos in calculus
• USNA videos, some on calculus

Math Tables

These are in the public domain. New: 2006 version of the USNA Math Tables (pdf file - missing the probability tables, but with more calc+precalc info)
Same tables (pdf - but reduced 2-pages-to-a-page).
Latex: source

Sage syntax

Sage can integrate some simple functions on its own:

sage: f = x^3 sage: f.integral(x) 1/4*x^4 sage: integral(x^3,x) 1/4*x^4 sage: f = x*sin(x^2) sage: integral(f,x) -1/2*cos(x^2)

There are interactive Sage examples in the next two links.

1. interactive numerical integration using the midpoint rule
2. interactive Taylor series More examples are at the Sage website here, here, and here