Mathematical Methods in the Physical Sciences I

This is the first in a sequence of mathematics courses for physical sciences majors. The first part of the course covers infinite sums: convergence of infinite sequences and series, Maclaurin and Taylor series, complex numbers and Euler’s formula. The second part covers elementary linear algebra: linear equations, vectors and matrices, dot products, cross products and determinants, applications to 3D geometry, eigenvectors and diagonalization.