Numerical Methods Quiz

What is the purpose of numerical integration?

• Finding derivatives

• Approximating integrals

• Solving linear equations

• Optimizing functions

What does a Taylor series expansion provide?

• Exact values

• Approximations of functions

• Numerical integration

• Matrix inversion

Which method solves systems of linear equations?

• Bisection method

• Runge-Kutta

• Gaussian elimination

• Newton's method

What is the purpose of curve fitting?

• Finding roots

• Approximating data with a function

• Calculating derivatives

• Solving differential equations

What does the bisection method find?

• Integrals

• Derivatives

• Roots of equations

• Matrix eigenvalues

What is a Runge-Kutta method used for?

• Linear algebra

• Ordinary differential equations

• Partial differential equations

• Optimization

What is the purpose of numerical differentiation?

• Finding integrals

• Approximating derivatives

• Solving linear systems

• Finding roots.

What is the trapezoidal rule used for?

• Root finding

• Numerical integration

• Solving differential equations

• Matrix operations.

Which method finds roots using tangent line approximations?

• Newton-Raphson

• Bisection

• Secant

• False Position

What is the global error order of the Euler method?

• O(1)

• O(h)

• O(h²)

• O(h³)