- 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 () provides a dynamic, hands-on, learning environment (), promotes concept understanding (, ), keeps students engaged (), and increases their competence and confidence ().
free course materials:
texas a&m university (symbolic, using early transcendentals, 8th edition):
- (chapters 2-6, 10-12)
- (chapters 5-7, 10-11)
- (chapters 12-16)
university of maryland (symbolic):
university of ohio (mixed symbolic and numerical):
- (general link)
redwood college (mostly numerical):
other calculus course materials (numerical):
- university of stuttgart
- bridge to mathematics northeastern university
example lecture materials:
(download)
calculus books using matlab:
-
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video lectures:
pre-calculus and algebra lectures:
- (11:54)
- (12:11)
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;”
- (6:31)
- (6:26)
- (5:37)
- (8:37)
- (9:10)
- (22:34)
differential equations and linear algebra:
- learn differential equations
- by gilbert strang (mit)
- (mit courseware)
- (self paced course)
curriculum usage examples:
matlab documentation and examples for calculus:
an introduction to symbolic math toolbox utilities for calculus:
- via hands-on practice sessions and demonstrations
- introduction to symbolic math with matlab
- solving nonlinear equations with matlab
- solving ordinary differential equations with matlab
- introduction to linear algebra with matlab
- introduction to statistical methods with matlab
- collection of calculus utilities
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:
- , a free, interactive tutorial (and other self-paced courses)
free auto grading:
matlab in industry:
get matlab: