Numerical Methods

What you'll learn

The key areas this subject covers, mapped to the official curriculum.

• Root finding: bisection, fixed point, Newton-Raphson and secant methods
• Interpolation and least-squares regression
• Numerical differentiation and quadrature rules
• Gaussian elimination and iterative linear solvers
• Euler and Runge-Kutta methods for ODEs and PDEs

Course units

The structured path through this subject.

1. 1

   Solution of Nonlinear Equations

   Finding roots of f(x)=0 when no closed-form solution exists.

   5 topics · 5 lessons available

2. 2

   Interpolation and Regression

   Building a function that passes through given data, or fits it closely.

   4 topics · 4 lessons available

3. 3

   Numerical Differentiation and Integration

   Approximating derivatives and definite integrals on discrete data.

   4 topics · 4 lessons available

4. 4

   Solving System of Linear Equations

   Direct and iterative methods for Ax = b.

   4 topics · 4 lessons available

5. 5

   Solution of Ordinary Differential Equations

   Solving initial and boundary value problems numerically.

   4 topics · 4 lessons available

6. 6

   Solution of Partial Differential Equations

   Classifying PDEs and solving them with finite differences.

   4 topics · 4 lessons available