Robert Talbert, Ph.D.

JUNE 15, 2023

This is a four-credit course primarily intended for students in engineering that combines topics from these two gigantic areas of mathematics. Those three adjectives also describe many of my students' past experiences with math courses, including MTH 302's prerequisites of Calculus 1, 2, and 3.

Engineering 52

Engineering Math Algebra Calculus 52

Stephen Wolfram

JANUARY 31, 2023

But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Science 64

Science Sciences Physics Mathematics 64

CTE Learning

MAY 20, 2022

stands for Science, Technology, Engineering, and Mathematics. On the other hand, physical and biological sciences, mathematics, science technology, and agricultural sciences pay around $50,400 on average. This will help to develop your analytical and mathematical skills. So what exactly is a STEM-based career?

STEM 52

STEM Artificial Intelligence Web Development Robotics 52

CTE Learning

MAY 20, 2022

” stands for Science, Technology, Engineering, and Mathematics. Mathematics is typically in every activity or occupation we do in life. On the other hand, physical and biological sciences, mathematics, science technology, and agricultural sciences pay around $50,400 on average. So what exactly is a STEM based career?

STEM 52

STEM Artificial Intelligence Web Development Robotics 52

Stephen Wolfram

JUNE 29, 2022

Now “characters” could be 16-bit constructs, with nearly 65536 possible “glyphs” allocated across different languages and uses (including some mathematical symbols that we introduced). Needless to say, you can do this computationally—though the “calculus” of what’s been defined so far in Unicode is fairly bizarre: &#10005.

Calculus 114

Calculus Construction Computer Argumentation 114

Robert Talbert, Ph.D.

APRIL 15, 2022

be the primary measure of success in a course, and some measure of grace and flexibility will be included along with high standards and "rigor" And for other instructors, this concept raises more questions than answers. For some instructors, it provides hope that student growth will (finally!) Limit the frequency of reassessments.

Academic Standards 52

Academic Standards Communications Calculus Argumentation 52

Stephen Wolfram

JANUARY 9, 2024

So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. And in Version 14 there are significant advances around calculus. Another advance has to do with expanding the range of “pre-packaged” calculus operations.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

DECEMBER 13, 2021

the same integral could still be done, but only in terms of elliptic integrals : Mathematical Functions: A Milestone Is Reached. Special functions are in a sense a way of packaging mathematical knowledge : once you know that the solution to your equation is a Lamé function , that immediately tells you lots of mathematical things about it.

Construction 67

Construction Computer Physics Accessibility 67

Stephen Wolfram

FEBRUARY 14, 2023

Then we might make a mathematical guess, like that perhaps we should use a straight line as a model: We could pick different straight lines. It’s just something that’s mathematically simple, and we’re used to the fact that lots of data we measure turns out to be well fit by mathematically simple things.

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

FEBRUARY 3, 2023

How does one tie all this down with rigorous, mathematical-style proofs? Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities. Well, it’s difficult.

Computer 92

Computer Energy Physics Construction 92