Rayleigh Quotient

See attached file for full problem description.

Nonunifrom String

See attached file for full problem description.

Heat equation in 1D Rod

See attached file for full problem description.

Bundary Problem

See attached file for full problem description.

Eigenvalue

See attached file for full problem description.

Eigenvalue & Heat Equation

See attached file for full problem description. You can solve problems except matlab problems(1.(c),3(c),6(d,e)). But I still hope you would solve all problems including matlab problems. And you can send me solutions separating into two parts regardless of problem's order.

Parseval and Gram-Schmidt

See attached file for full problem description. You can solve problems except matlab problems(1.(c),3(c),6(d,e)). But I still hope you would solve all problems including matlab problems. And you can send me solutions separating into two parts regardless of problem's order.

Determine Probabilities

Using the standard normal table, determine the following probabilities. Sketch the associated areas. a. P(0 less than or equal to z less than or equal to 1.00) b. P(-2.50 less than or equal to z less than or equal to 3.01) c. P(z greater than or equal to 3.25) d. P(z less than or equal to -2.50)

Advanced PDE (finance application)

Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach by Duffy. See attached file for full problem description.

Advanced PDE

See attached file for full problem description.