This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...

Abstract: Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the planets ...

This module builds on MAST4014 Calculus and Differential Equations. The aim is to introduce the mathematical tools to perform calculations and apply these tools to interesting applications in physics.

Abstract: Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the planets ...

To introduce the mathematics needed to formulate and describe problems involving vector and scalar fields in 3D space. Module Summary Many applications of mathematics involve objects and quantities ...

Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and ...

Welcome to the "Basic Function Integrals" repository! This repository was created to provide an introduction to integral calculus II through practical examples. Here, you will find detailed solutions ...

Calculus, the mathematical study of continuous change, stands as a cornerstone of advanced mathematics and its applications. As you delve into this powerful branch of mathematics, you’ll discover a ...