Tag: higher dimensions

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Introduction to Multivariable Calculus

Calculus 1, Lectures 18B through 20B

In an introduction to multivariable calculus, the graph of a function of more than one variable should be sliced to help you understand it and its partial derivatives.
The graph of a multivariable function can be sliced to help you understand it and its partial derivatives.

In some ways, multivariable calculus seems like a minor extension of single-variable calculus ideas and techniques. In other ways, it’s definitely a major step up in difficulty.

This post will mainly be an introduction to multivariable … Read the rest

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Financial Mathematics Tools: Substitutions, Quadratic Formula, Logarithms, and “Functional-Thinking”

The quadratic formula

Useful pre-university mathematics is not restricted to arithmetic, percentages, and basic algebra.

Functional-thinking is one key to doing many other useful things. Tools such as substitutions, the quadratic formula, and logarithms also come in handy.

These tools are used in engineering and science. For example, in the evaluation of useful integrals (such as those that come up in … Read the rest