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.

Book 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 ...

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 ...

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 ...

MEK1100 gives an introduction to the theory of scalar and vector fields with examples from fluid mechanics, geophysics and physics. The course contains gradient and directional derivative, divergence ...

Any vector can be expressed as a sum of a number of other vectors. The vectors which are summed are called the components of the original vector. When you want to add and subtract two dimensional ...

These are some simple Firedrake examples of the use of finite element exterior calculus as presented in the textbook Finite Element Exterior Calculus by D.N. Arnold. All current examples (bar k_equals ...

In the University of Maryland’s 2019 Hackathon, named Bitcamp, my team won 1st Prize, also called the Moonshot Hack Award, for our project named “Vector Calculus Sandbox”, a virtual reality ...