Math 321, Section 201
Problems, Solutions, Handouts
Instructor
Joel Feldman
E-mail
feldman@math.ubc.ca
Office
Math 221
Phone
604-822-5660
Home page
http://www.math.ubc.ca/~feldman/
Office hours
Location of lectures
Time of lectures
Course Outline [
html
,
pdf
]
The
Mathematics Department Exam Database
Notes
The Mean Value Theorem [
pdf
]
Taylor's Theorem [
pdf
]
A Definition of the Riemann-Stieltjes Integral [
pdf
] (version of January 12, 2017)
Riemann-Stieltjes Integrals with Alpha a Step Function [
pdf
] (version of January 13, 2017)
Properties of the Riemann-Stieltjes Integral [
pdf
] (version of January 20, 2017)
Reduction to the Riemann Integral [
pdf
] (version of January 20, 2017)
Existence of the Riemann-Stieltjes Integral [
pdf
]
Functions of Bounded Variation [
pdf
] (version of January 30, 2017)
Equicontinuous Functions [
pdf
] (version of March 3, 2017)
Gibbs Phenomenon [
pdf
] (version of April 5, 2017)
Supplementary Notes
Taylor Series and Asymptotic Expansions [
pdf
]
Products of Riemann Integrable Functions [
pdf
]
Alternate Proof of Integrability [
pdf
]
Dini's Theorem [
pdf
]
The Dirichlet Test [
pdf
]
A Nowhere Differentiable Continuous Function [
pdf
]
Interchanging the Order of Summation [
pdf
]
Standard Functions [
pdf
]
Derivation of the Wave Equation [
pdf
]
Solution of the Wave Equation by Separation of Variables [
pdf
]
Normal Matrices [
notes
,
problem solutions
]
Gibbs Phenomenon Applet
The Contraction Mapping Theorem and the Implicit Function Theorem [
pdf
] (version of March 30, 2008)
Tempered Distributions [
pdf
]
Integration on Manifolds [
notes
,
problem solutions
] (version of April 9, 2008)
Euler Angles [
pdf
]