Numbers
	- Babylonian base-60
	- Egyptian fractional notation
	- Roman numerals and operations
	- conversions of fractions to floating-point representations
	- Binary notation for integers 
	- 32-bit floating point number representations

Error
	- absolute and relative
	- common sources of error
	- propagation of errors under addition and multiplication

Root finding in 1 variable
    Fixed-point iteration
        - difference equations
        - fixed-points of difference equations
        - stability of fixed-points of difference equations
        - Square-roots by Greek method (Theon's ladder), convergence rates
        - initial-condition dependence
        - geometric square-root approximation formula (Heron's method)
        - Newton--Raphson
            * method
            * local convergence criteria
            * cube-root method
            * order-of-convergence (linear, quadratic)
            * requirements, pro's and con's
        - Halley's method
            * requirements, pro's and con's
        - Secant Method
            * requirements, pro's and con's
    Bracketing
        - Bisection (Bolzano's method)
            * convergence rate
            * requirements, pro's and con's
        - Regula Falsi
            * requirements, pro's and con's
        - Muller's method
            * requirements, pro's and con's
    Matlab and fzero

Operation counts
Horner's method

Linear systems
    - matrices, vectors, norms
    - Forward problems, Matrix multiplication
        * application to random-walk model
    - Special matrices
    - backward problems A x = b
    - elimination and back-substitution.
        * operations counts
        * numerical stability of elimination
    - pivoting, types, reasons
    - stochiometry applications
    - LU factorization
        - pro's and con's
    - rank, number of solutions of Ax = b.
    - iterative methods: Jacobi
	- operation counts for various algorithms

Non Linear Systems (nonlinear)
    - function approximation
        - local
			* Calculate Taylor series
			* Taylor series of common functions
			* error approximation
        - asymptotic, newton hulls