Welcome to Linear Algebra and Vector Calculus

This module is designed as a follow on to NSCI0005, being a second module mathematical methods for natural sciences students. In it we will cover:

• Vector calculus methods:

  • Cartesian, spherical polar and cylindrical polar coordinate systems

  • Multidimensional area and volume integrals

  • Vector fields

  • Gradient operator and tangent plane operations

  • Divergence and curl

  • Line integrals

  • Surface intgeals

  • Divergence and Stoke’s theorems

• Matrices, vector spaces and linear algebra:

  • Gaussian elimnination

  • Matrices in 2D and 3D

  • Linear transformations

  • Matrix inverses

  • Matrix determinants

  • Eigenvalues and eigenvectors

  • Matrix diagonalisation

Textbooks:

See the most up to date reading list on the ReadingLists@UCL page