Topics for test1.

Programming
  - Unix
    input, output redirection
    basic bash scripts
  - C++
    STL, datatypes, vector<>, Trow, Tmatrix
    function parameters by value and by reference
    operator overloading
    separate source files, header files, compilation
    matrix.cc package
  - gnuplot basics
    basic plotting
    postscript files
    ghostview

Solving nonlinear equations:
  - bisection
  - fixed point iteration
  - Newton's method
  - secant method

Polynomials
  - Horner's method

Linear algebra
  - matrices
  - products of matrices
  - systems of linear equations
  - matrix form
  - augmented matrix
  - Gauss elimination
  - Gauss-Jordan reduction
  - pivoting
  - determinants
  - cofactor expansion
  - effect of elementary row operations on the determinant
  - inverse matrix
  - matrices of linear transformations
                                    
Systems of nonlinear equations
  - multidimensional fixed point method