image for course Introduction to Symbolic Math with MATLAB

Introduction to Symbolic Math with MATLAB

Learn the basics of symbolic math in MATLAB®. Instead of manipulating and solving equations yourself on paper, why not have MATLAB do it for you?

Course modules

Introduction

Familiarize yourself with symbolic math and the course.

Lessons:
  • Course Overview

Symbolic Variables

Represent numbers symbolically, instead of numerically. Create symbolic variables.

Lessons:
  • Store Numbers Symbolically
  • Create Symbolic Variables

Mathematical Expressions with Symbolic Variables

Create and visualize symbolic mathematical expressions, and substitute values for symbolic variables.

Lessons:
  • Create Symbolic Expressions
  • Substitute Values into Symbolic Variables
  • Visualize Symbolic Expressions

Define and Solve Symbolic Equations

Define and solve algebraic equations containing symbolic variables.

Lessons:
  • Define Symbolic Equations
  • Solve Symbolic Equations

Algebraic Manipulation and Simplification

Manipulate, evaluate, and simplify symbolic equations and expressions.

Lessons:
  • Manipulation and Simplification

Working with Assumptions

Set assumptions on symbolic variables to get real world results.

Lessons:
  • Set Assumptions on Symbolic Variables
  • Set Multiple Assumptions

Working with Units of Measurement

Assign real-world units to symbolic variables and convert from one unit of measurement to another.

Lessons:
  • Assign Units
  • Convert Units

Symbolic Functions

Define mathematical functions containing symbolic variables.

Lessons:
  • Create Symbolic Functions
  • Work with Symbolic Function Outputs

Visualize Symbolic Functions and Equations

Visualize functions and equations in two and three dimensions.

Lessons:
  • Visualization in 2D
  • Visualization in 3D

Review Project I

Bring together concepts you have learned with a project.

Lessons:
  • Robot Arm - Visualizing Motion
  • Robot Arm - Finding Rotation Angles

Calculus with Symbolic Math

Perform common calculus tasks symbolically, like differentiating, integrating, finding Taylor polynomials, and solving ordinary differential equations.

Lessons:
  • Finding Derivatives
  • Finding Integrals
  • Differentiating and Integrating Multivariable Functions
  • Approximating Functions using Taylor Polynomials
  • Solving Ordinary Differential Equations

Review Project II

Bring together concepts that you have learned with a project.

Lessons:
  • Modeling the Path of a Bungee Jumper
  • Visualizing the Bungee Jump

Next Steps

Access additional resources and give feedback on the course.

Lessons:
  • Additional Resources
  • Survey

Format:Self-paced

Language:English

Language

  • Hands-on exercises with automated feedback
  • Access to MATLAB through your web browser
  • Shareable progress report and course certificate

Solving Nonlinear Equations with MATLAB

Use root finding methods to solve nonlinear equations.

Introduction to Linear Algebra with MATLAB

Use matrix methods to solve systems of linear equations and perform eigenvalue decomposition.

Solving Ordinary Differential Equations with MATLAB

Use MATLAB ODE solvers to numerically solve ordinary differential equations.

MATLAB Onramp

Get started quickly with the basics of MATLAB.