*Elementary analytic techniques used to obtain classical inequalities.*

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*Elementary analytic techniques used to obtain classical inequalities.*

*Derivation of method of variation of parameters*

*The author uses diagrams to illustrate Laplace transforms and inverses.*

*Relates pairs of quadratic polynomials to Pythagorean triples*

*Complexity analysis of three algorithms for Fibonacci numbers*

*Distance from a point to a plane, using a variation of the Pythagorean Theorem*

*Using L-U factorization, the author generates examples of matrices for which Gaussian elimination process can be done in integer arithmetic, including examples of matrices that are invertible...*

*Computation with planar rotations without trigonometry*

*The pseudo inverse of a matrix \(A\) is used to obtain information about the rows of \(A\).*

*A solution is obtained for motion where resistance is proportional to square of velocity.*