This is the first
semester of a year-long sequence designed
for students planning
a major in the physical sciences. In this course, you will learn the
applied
mathematical techniques illustrating the
mathematics at work in a broad range of
scientific studies, from the life sciences to
physics and astronomy. The techniques include
differential equations, linear algebra,
Fourier analysis,
and vector calculus. You will also see the modern methods of
numerical
modeling and computer simulation.
Topics include complex numbers, linear algebra (matrices, rank, inverses, eigenvectors and eigenvalues, diagonalization), ordinary differential equations (first order, second order linear), Fourier analysis, introducton to partial differential equations. Familiarity with vectors (dot products, cross products, lines, planes) is assumed. Emphasis is on applications to the sciences.
This sequence is
required for a major in Physics, Astrophysics, and
Astronomy.
Prerequisite: Math 116 or the equivalent
Distribution: Mathematical Modeling
