This course is the second in a two-part series that introduces numerical methods. Numerical methods are techniques to approximate mathematical procedures (e.g., integrals). Approximations are needed because we either cannot solve the procedure analytically (e.g., the standard normal cumulative distribution function) or because the analytical method is intractable (e.g., solving a set of a thousand simultaneous linear equations for a thousand unknowns).
To be prepared for this course, students should have a passing grade introductory physics, integral calculus, differential calculus, and ordinary differential equations.
By end of this course, participants will be able to apply the numerical methods for the following mathematical procedures and topics: simultaneous linear equations, interpolation, regression, integration, and ordinary differential equations. Additionally, they will be able to calculate errors and implement their relationship to the accuracy of the numerical solutions.