# Numerical Computations in MATLAB

Including Root Finding, Linear Algebra, Curve Fitting, Numerical Integration, Differential Equations and Optimization
Rating: 4.0 out of 5 (93 ratings)
4,426 students
Numerical Computations in MATLAB
Rating: 4.0 out of 5 (93 ratings)
4,429 students
Root Finding and Numerical Equation Solving in MATLAB
Linear Algebra, Eigendecomposition and SVD in MATLAB
Curve Fitting and Interpolation in 1D, 2D and 3D Spaces using MATLAB
Numerical Integration and Differentiation in MATLAB
Working with Polynomials in MATLAB
Solving Ordinary Differential Equations in MATLAB
Solving Boundary Value Problems in MATLAB
Solving Delayed Differential Equations in MATLAB
Linear Programming and Mixed-Integer LP in MATLAB
Constrained and Unconstrained Nonlinear Optimization in MATLAB

### Requirements

• Basic Math and Calculus
• Numerical Methods
• MATLAB Programming
Description

In this course, the built-in capabilities of MATLAB are used to perform numerical computations, which are very useful in enormous fields of applied science and engineering, including:

• Root finding and equation solving

• Solving system of equations

• Eigenvalues, eigenvectors and eigendecomposition

• Singular Value Decomposition

• Interpolation, curve fitting and surface modeling

• Numerical integration and differentiation

• Working with polynomials

• Solving Ordinary Differential Equations (ODEs)

• Solving Boundary Value Problems (BVPs)

• Solving Delayed Differential Equations (DDEs)

• Linear Programming (LP)

• Mixed-Integer Linear Programming (MILP)

• Constrained and unconstrained nonlinear optimization

Who this course is for:
• Applied Math and Science Students
• Engineering Students
• Everyone interested in numerical methods and computation
Course content
7 sections • 22 lectures • 4h 26m total length
• Finding roots of polynomials using roots
04:54
• Finding roots of nonlinear functions using fzero
03:51
• Solving system of nonlinear equations using fsolve
04:37
• Solving system of linear equations using linsolve
04:03
• Eigenvalues and Eigenvectors in MATLAB
07:54
• Singular Value Decomposition in MATLAB
14:25
• Polynomial Fitting using polyfit
10:54
• Interpolation Using interp1 to interpn
12:36
• Interpolation Using interpft
09:13
• Interpolation using Cubic Splines
11:11
• Interpolation Using griddata in 2D and 3D Spaces
06:12
• Numerical Integration using integral and quadgk
19:09
• Double and triple integrals
11:00
• Discrete integrals and summations
09:09
• Numerical Differentiation
18:47
• Working with Polynomials in MATLAB
20:01
• Solving Ordinary Differential Equations (ODEs)
19:36
• Solving Boundary Value Problems (BVPs)
11:33
• Solving Delayed Differential Equations (DDEs)
27:30
• Linear Programming and Mixed-Integer LP
16:01
05:52
• Constrained and Unconstrained Nonlinear Optimization
17:51

Instructors