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Calculus with Brian Wynne at Bard College at Simon's Rock. Photo taken by Briee Della Rocca

This slide discusses average velocity versus instantaneous velocity. The green (x2-x1)/(t2-t1) calculation is the average velocity across the entire part of the parabola shown. There other lines that touch in increasingly closer together points. Finally, at the limit where the two points are basically on top of each other, when the change in time between them has approached zero, we are essentially at a tangent line. This is called the derivative of the function at that point in time. To symbolize that we've gotten to the tangent line situation, where the line used in calculating slope is only touching the graph once, we change deltax/deltat to dx/dt.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Abby Ross' multi variable calculus class hit the boards on day 2 of in-class learning, February 9, 2021. Photography by Glenn Minshall.

Bought these books at chalmers. They are my new calculus books... really expensive and heavy. :-/

Prof. Calculus inspecting his Alumicolor 12" hollow aluminum triangular engineer scale. It has scales for 10, 20, 30, 40, 50 and 60 parts per inch.

 

We're Here: Rulers

Students in Seth Montgomery's AP Calculus class 'crash the boards' on February 7, 2019. Photography by Glenn Minshall.

man, I can't believe I used to know how to do this! completely useless for me now! hahaha

My friend Mitch finishes his calculus homework in the photography classroom one morning in the spring of 1982.

Students in Seth Montgomery's AP Calculus class 'crash the boards' on February 7, 2019. Photography by Glenn Minshall.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Seth Montgomery's AP Calculus class 'crash the boards' on February 7, 2019. Photography by Glenn Minshall.

Students in Abby Ross' multi variable calculus class hit the boards on day 2 of in-class learning, February 9, 2021. Photography by Glenn Minshall.

Students in Seth Montgomery's AP Calculus class 'crash the boards' on February 7, 2019. Photography by Glenn Minshall.

An exhibit at the San Luis Unit dam somewhere in the Central Valley explicating how much water it takes to make a friggin' hamburger. Incredible. Never even thought about that, not even once. I think the world has a good chance of going down the toilet, forgive the pun.

This photo is: Unedited

 

Integral and Differential

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Abby Ross' multi variable calculus class hit the boards on day 2 of in-class learning, February 9, 2021. Photography by Glenn Minshall.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Seth Montgomery's AP Calculus class 'crash the boards' on February 7, 2019. Photography by Glenn Minshall.

Students in Seth Montgomery's AP Calculus class 'crash the boards' on February 7, 2019. Photography by Glenn Minshall.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

When to use Calculus As we know, calculus is a form of mathematics which is applied on functions like graphs which are not performing its behavior in the linear or simple pattern. In old days of the science, there was not enough understanding about how the earth, stars and the planets move with respect to each other. But, after the introduction of the calculus, we start understanding this phenomenon and reason behind all this. We use the calculus, to find the attributes of the non-linear type of functions. It is totally based on the comparison between points on the graph of some non-linear functions. We broadly use the calculus in mathematics and also in engineering for velocity, non- linear motion of objects, acceleration, circuits and current in the circuit etc. The calculus is widely used in discontinuous type of graphs. To find the area bounded by the graph of any discontinuous type of function, we have to use differentiation (dy/dx).

  

calculus can do that to you.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

Students in Seth Montgomery's AP Calculus class 'crash the boards' on February 7, 2019. Photography by Glenn Minshall.

Solving math problems on the board.

Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

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