Math 321, Section 201
Problems, Solutions, Handouts

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Notes
 RiemannStieltjes Integrals with Alpha a Step Function
[
pdf
]
 The Change of Variables x=g(y)
[
pdf
]
 Reduction to the Riemann Integral
[
pdf
]
 Products of Riemann Integrable Functions
[
pdf
]
 Alternate Proof of Integrability
[
pdf
]
 Functions of Bounded Variation
[
pdf
]
 Dini's Theorem
[
pdf
]
 The Dirichlet Test
[
pdf
]
 A Nowhere Differentiable Continuous Function
[
pdf
]
 Interchanging the Order of Summation
[
pdf
]
 Equicontinuous Functions
[
pdf
] (version of February 13, 2008)
 Standard Functions
[
pdf
]
 Taylor Series and Asymptotic Expansions
[
pdf
]
 Derivation of the Wave Equation
[
pdf
]
 Solution of the Wave Equation by Separation of Variables
[
pdf
]
 Normal Matrices
[
notes ,
problem solutions
]

Gibb's 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
]
One of the students in the class (Peter Wong) has very generously
volunteered to type up his lecture notes. They are below. Please report
any typos directly to Peter at
ludwig (dot) gelber (at) gmail (dot) com.