Introduction to Mathematical Methods in the Physical Sciences-ll MATH 126 (3)

Partial differentiation and applications. Taylor series of functions of two variables. Method of characteristics for 1-D transport and wave equations. Similarity solutions including plane waves, traveling waves and scaling solutions, with applications in the physical sciences. Introduction to vector calculus, including differentiation, decompositions via potentials. Curvilinear coordinate systems. Multivariate integration, including Green's, the Stokes and the Divergence theorem. Introduction to abstract vector spaces. Linear independence. Inner products and orthogonality. Fourier Series. Prerequisite: A grade of C+ or higher in Math 125 or Math 152, and permission of the department. Recommended Corequisite: Physics 126.