Freshman Summer Research Institute 2011
Handouts

Below are the lecture and workshop handouts for our class.

Date
Topic
Workshop
Mon, July 11
The Mathematical Foundations of Set Theory
Set Theory
Tue, July 12
Counting and Induction
Induction
Wed, July 13
Real, Rational, and Complex Numbers
Rat'l and Complex Numbers
Thu, July 14
Notions of Infinity
Infinities



Mon, July 18
Limits of Sequences and Functions
Limit Calculus
Tue, July 19
Continuity and the Derivative
Continuity & Derivatives
Wed, July 20
Mean Value Theorem & Integration
Mean Value Theorem
Thu, July 21
Fourier Series
Fourier Series



Mon, Aug 25
Linearity, Vectors, and Matrices
Linear Algebra
Tue, Aug 26
Subspaces, Vector Spaces, and Bases
Vector Spaces
Wed, Aug 27
Determinants and Eigenvalues
Determinants
Thu, Aug 28
Markov Processes & Stochastic Matrices
Markov Processes



Mon, Aug 1
ODEs - First Order, Linear Equations
ODEs
Tue, Aug 2
Second Order ODEs
2nd Order ODEs
Wed, Aug 3
Parametric ODEs
Parametric ODEs
Thu, Aug 4
Hooke's Law of Spring Motion
Hooke's Law



Extra Handouts:

A Note on Convergence


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