Math 121
Problems, Solutions, Handouts
Course Outline [
html
,
pdf
]
Warnings [
pdf
]
Tables of Formulae [
pdf
]
Tables of integrals you should know or be able to derive quickly [
pdf
]
Notes
A Careful Area Computation [
pdf
]
The Definition of the Integral [
pdf
]
Substitution [
pdf
]
Substitution Examples [
pdf
]
Cylindrical Shells Example [
pdf
]
Approximating a Function Near a Specified Point (error in integral form) [
pdf
]
Trig Substitutions [
pdf
]
Integrating sec x and sec
3
x [
pdf
]
Torque [
pdf
]
Centroid Example [
pdf
]
Partial Fractions Examples [
pdf
]
Roots of Polynomials [
pdf
]
The Partial Fractions Decomposition [
pdf
]
The Form of Partial Fractions Decompositions [
pdf
]
Complex Numbers and Exponentials [
pdf
]
Simple Numerical Integrators - Derivation [
pdf
]
Simple Numerical Integrators - Error Behaviour [
pdf
] (updated March 10, 2003)
Simple Numerical Integrators - Determining Step Size [
pdf
] (updated March 10, 2003)
Error Formulae for Taylor Polynomials [
pdf
]
Computation of Pi. [
pdf
]
More Notes
Trig Functions [
pdf
]
The Cosine Law and Addition Formulae [
pdf
]
Approximating a Function Near a Specified Point (error in mean value theorem form) [
pdf
]
The RC Circuit [
pdf
]
The RLC Circuit [
pdf
,
applet
]
Spreadsheet implementation of Simpson's Rule [
pdf
]
Linear Regression [
pdf
]
Richardson Extrapolation and Romberg Integration [
pdf
]
Simple ODE Solvers - Derivation [
pdf
]
Simple ODE Solvers - Error Behaviour [
pdf
]
Simple ODE Solvers - Variable Step Size Methods [
pdf
]
Error Control for the Polar Area Formula [
pdf
]
Links
MacTutor History of Mathematics archive
Tacoma Narrows Bridge [
description and photos
,
movie clip
]
AMS Exam Database