Civil Engineering
Overview of numerical methods, mathematical modeling, programming concepts, and different types of errors in numerical computation.
Examples and applications for Introduction and Error Analysis.
Methods for finding roots of algebraic and transcendental equations.
Examples and applications for Roots of Equations.
Numerical techniques to solve simultaneous linear algebraic equations.
Examples and applications for Systems of Linear Equations.
Techniques for approximating discrete data points with continuous functions.
Examples and applications for Curve Fitting and Interpolation.
Methods for approximating derivatives of functions using discrete data points.
Examples and applications for Numerical Differentiation.
Numerical methods for evaluating definite integrals.
Examples and applications for Numerical Integration.
Numerical solutions for initial-value and boundary-value problems of ordinary differential equations.
Examples and applications for Ordinary Differential Equations.
Finite difference and finite element methods for solving partial differential equations.
Examples and applications for Partial Differential Equations.