Directional derivatives - Study guides, Class notes & Summaries

Lecture notes were made while watching the recorded lectures assigned to watch. These notes include theory (theorems) and worked out examples from the lecturer. These specific notes cover Directional derivatives and the gradient.

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Directional Derivatives and Gradient Vectors notes and exam questions solved

EVERYTHING YOU NEED ON Directional Derivatives and Gradient Vectors

The unit covers following points - Introduction to vectors and their role in mathematics and physics - Explanation of curl as a measure of rotational behavior in vector fields - Discussion on directional derivatives, indicating how a function changes along a given direction - Overview of gradients, representing the rate of change of a scalar function in space - Application of vectors in solving numerical problems involving normal surfaces and vector fields - Illustrative examples and exer...

This set of Year 1 notes from Durham University's "Maths for Engineers" module provides a thorough introduction to Functions of Several Variables. It covers essential topics such as the chain rule, changes of variables, directional derivatives and gradients, tangent planes, normal lines to surfaces, vector fields (Grad, Div, and Curl), and critical points with extreme values. The notes are well-organised and filled with clear examples and detailed explanations, making complex topics mor...