• Allow your students to effortlessly switch among visual, numerical, and algebraic representations of calculus concepts.
• Shift emphasis from manipulative skills to fundamental calculus ideas.
• Improve students’ engagement and concept retention by exploring more realistic problems earlier.
• Introduce your students to professionally developed, rigorously tested, and fully documented mathematical modeling software that will help them throughout their studies and careers.
• Communicate mathematical ideas using a single notebook that includes explanatory text, formulas, pictures, as well as MATLAB commands, outputs and graphics.

### Some Benefits of Using Computation in Calculus Courses:

Research shows that the thoughtful inclusion of computation in calculus courses (Murphy, 2006) provides a dynamic, hands-on, learning environment (Vasquez, 2015), promotes concept understanding (Awang, Zakaria, 2013, Leng et. al. 2009), keeps students engaged (Colonna, Easley, 2011), and increases their competence and confidence (Merriweather, Tharp, 1999).

### Free Course Materials:

Texas A&M University (symbolic, using Early Transcendentals, 8th edition):

University of Maryland (symbolic):

University of Ohio (mixed symbolic and numerical):

Redwood College (mostly numerical):

Other Calculus course materials (numerical):

### Video Lectures:

Pre-Calculus and Algebra Lectures:

Calculus Lectures:

Note: since `“inline”` will be discontinued, to follow through the videos in the links below replace function definitions like `“f=inline('sin(x)/x','x');”` with function definitions like `“syms x f(x); f(x)=sin(x)/x;”`

Differential Equations and Linear Algebra:

### MATLAB Documentation and Examples for Calculus:

An introduction to Symbolic Math Toolbox utilities for calculus:

Common calculus topics in the Symbolic Math Toolbox documentation:

Other Symbolic Math Toolbox examples:

Numerical functions commonly used in calculus:

### More MATLAB Information:

Learn MATLAB in 2 hours:

• MATLAB Onramp, a free, interactive tutorial (and other self-paced courses)