# Browse Classroom Capsules and Notes

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Displaying 151 - 160 of 1212

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.