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# Introduction to Symbolic Math with MATLAB

### Overview

• Introduction: Familiarize yourself with symbolic math and the course.
• Creating Symbolic Variables: Represent numbers symbolically instead of numerically. Create symbolic variables.
• Mathematical Expressions with Symbolic Variables: Create and visualize symbolic mathematical expressions, and substitute values for symbolic variables.
• Creating and Solving Symbolic Equations: Define and solve algebraic equations containing symbolic variables.
• Algebraic Manipulation and Simplification: Manipulate, evaluate, and simplify symbolic equations and expressions.
• Working with Assumptions: Set assumptions on symbolic variables to get real world results.
• Working with Units of Measurement: Assign real world units to symbolic variables and convert from one unit of measurement to another.
• Creating Symbolic Functions: Define mathematical functions containing symbolic variables.
• Visualizing Symbolic Functions and Equations: Visualize functions and equations in two and three dimensions.
• Review Project I: Bring together concepts you have learned with a project.
• Calculus with Symbolic Math: Perform common calculus tasks symbolically, like differentiating, integrating, finding Taylor polynomials, and solving ordinary differential equations.
• Review Project II: Bring together concepts that you have learned with a project.
• Next Steps: Give feedback on the course.

### Syllabus

• Course Overview
• Storing Numbers Symbolically
• Creating Symbolic Variables
• Creating Symbolic Expressions
• Substituting Values into Symbolic Variables
• Visualizing Expressions
• Defining Symbolic Equations
• Solving Symbolic Equations
• Manipulation and Simplification
• Setting Assumptions on Symbolic Variables
• Setting Multiple Assumptions
• Assigning Units
• Converting Units
• Creating Symbolic Functions
• Working with Symbolic Function Outputs
• Visualization in 2D
• Visualization in 3D
• Robot Arm - Visualizing Motion
• Robot Arm - Finding Rotation Angles
• Finding Derivatives
• Finding Integrals
• Differentiating and Integrating Multivariable Functions
• Approximating Functions using Taylor Polynomials
• Solving Ordinary Differential Equations
• Modeling the Path of a Bungee Jumper
• Visualizing the Bungee Jump