Manin Bocss – Medium

Manin Bocss

The Product Rule

To differentiate the product of two functions, multiply each function by the differentiated function of the other. Then, sum the two…

6 min readSep 21, 2022

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The Product Rule

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Manin Bocss

Calculus Cheat Sheet (Derivatives)

Definition, Notation, Methods, and Well Known Identities

4 min readSep 21, 2022

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Calculus Cheat Sheet (Derivatives)

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Manin Bocss

The Fundamental Theorem of Calculus

“There have been several occasions in the history of mathematics when an important discovery was made independently and almost…

9 min readFeb 11, 2022

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The Fundamental Theorem of Calculus

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Manin Bocss

The Algebra and Geometry of Complex Numbers (Part 1)

In this first installment of a brief series covering complex numbers we share a little history, give a brief explanation of the complex…

6 min readFeb 3, 2022

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The Algebra and Geometry of Complex Numbers (Part 1)

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Manin Bocss

Anti-differentiation and the Indefinite Integral

When taking the anti-derivative of a polynomial, the result is a set of functions that differ by a constant. We call this set the general…

6 min readJan 31, 2022

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Anti-differentiation and the Indefinite Integral

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Manin Bocss

Summation and the Definite Integral

Integration is a mathematical operation that sums an infinite collection of infinitesimally small values.

9 min readJan 21, 2022

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Summation and the Definite Integral

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Manin Bocss

Notes on the Exponential Function: Growth and Decay : A Differential Equation

Many quantities that change over time demonstrate exponential growth or exponential decay. For example, populations grow exponentially …

5 min readJan 21, 2022

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Notes on the Exponential Function: Growth and Decay : A Differential Equation

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Manin Bocss

Notes on Gaussian functions, the Gaussian integral, and the Normal Distribution

10 min readJan 19, 2022

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Notes on Gaussian functions, the Gaussian integral, and the Normal Distribution

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Manin Bocss

Differentiation and Derivatives

Differentiation is the process used to find a derivative. It involves finding a function whose value at every point is equal to the slope…

7 min readJan 6, 2022

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Differentiation and Derivatives

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Manin Bocss

The Rocket Equation

Getting out of Earth’s gravity well and into orbit is hard. Apparently, it’s all about the ΔV.

6 min readDec 28, 2021

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The Rocket Equation

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Manin Bocss

Manin Bocss

I’m a retired software engineer and a math/science enthusiast. I write articles about arbitrarily chosen topics in math and sometimes a little science history.

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