*This post is by my colleague Cosmin Ionita.*... read more >>

# Makima Piecewise Cubic Interpolation

Posted by **Cleve Moler**,

**Category:**- Algorithms,
- Calculus,
- Numerical Analysis

Blogs

Posted by **Cleve Moler**,

*This post is by my colleague Cosmin Ionita.*... read more >>

**Category:**- Algorithms,
- Calculus,
- Numerical Analysis

Posted by **Cleve Moler**,

As the degree of an interpolating polynomial increases, does the polynomial converge to the underlying function? The short answer is maybe. I want to describe a visual tool to help you investigate this question yourself.... read more >>

**Category:**- Calculus,
- Numerical Analysis,
- People

Posted by **Cleve Moler**,

Two months ago I wrote a blog post about Teaching Calculus to a Deep Learner. We wrote the code for that post in one afternoon in the MathWorks booth at the SIAM Annual Meeting. Earlier that day, during his invited talk, MIT Professor Gil Strang had spontaneously wondered if it would possible to teach calculus to a deep learning computer program. None of us in the booth were experts in deep learning.... read more >>

Posted by **Cleve Moler**,

MIT's Professor Gil Strang gave two talks in one morning recently at the SIAM annual meeting. Both talks derived from his experience teaching a new course at MIT on linear algebra and neural nets. His first talk, "The Structure of a Deep Neural Net", was in a minisymposium titled "Deep Learning and Deep Teaching", which he organized. Another talk in that minisymposium was by Drexel's Professor Pavel Grinfeld on "An Informal Approach to Teaching Calculus." An hour later, Gil's gave his second talk, "Teaching About Learning." It was an invited talk at the SIAM Conference on Applied Mathematics Education.... read more >>

Posted by **Cleve Moler**,

The ACM Special Interest Group on Programming Languages, SIGPLAN, expects to hold the fourth in a series of conferences on the History of Programming Languages in 2020, see HOPL-IV. The first drafts of papers are to be submitted by August 2018. That long lead time gives me the opportunity to write a detailed history of MATLAB. I plan to write the paper in sections, which I'll post in this blog as they are available.... read more >>

**Category:**- Calculus,
- Differential Equations,
- Graphics,
- History

Posted by **Cleve Moler**,

Two days ago I wrote about random points in a square. At the last minute I added the paragraph asking about the generalization to random points in a cube. I have to admit that I didn't check the Web to see what was known about the question.... read more >>

**Category:**- Calculus,
- Fun,
- Random Numbers,
- Symbolic

Posted by **Cleve Moler**,

How far apart can you expect two points chosen at random in the unit square to be? I found this problem on the YouTube channel maintained by Presh Talwalkar, Mind Your Decisions. He correctly calls it a very hard puzzle. At first, I guessed the answer might be $1/2$. But the correct answer is more interesting than that.... read more >>

**Category:**- Calculus,
- Fun,
- Random Numbers,
- Symbolic

Posted by **Cleve Moler**,

A headline in the *New York Times* at the end of 2016 said "Growth of U.S. Population Is at Slowest Pace Since 1937". This prompted me to revisit an old chestnut about fitting and extrapolating census data. In the process I have added a couple of nonlinear fits, namely the logistic curve and the double exponential Gompertz model.... read more >>

**Category:**- Algorithms,
- Calculus,
- History,
- Numerical Analysis

Posted by **Cleve Moler**,

My favorite ordinary differential equation provides a good test of ODE solvers, both numeric and symbolic. It also provides a nice illustration of the underlying existence theory and error analysis.... read more >>

Posted by **Cleve Moler**,

The MATLAB functions for the numerical evaluation of integrals has evolved from `quad`, through `quadl` and `quadgk`, to today's `integral`.
... read more >>

**Category:**- Algorithms,
- Calculus,
- History,
- Numerical Analysis,
- Symbolic

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