Let's see, in my case not saying it is "much harder", it's definitely different, but trying to compare with let's say...the curriculum from Standford, required maths for physics the program (do they have a program that's considered hard?);
Required math courses;
Math 51 : Geometry and algebra of vectors, systems of linear equations, matrices and linear transformations, diagonalization and eigenvectors, vector valued functions and functions of several variables, parametric curves, partial derivatives and gradients, the derivative as a matrix, chain rule in several variables, constrained and unconstrained optimization.
Math 52 : Iterated integrals, line and surface integrals, vector analysis with applications to vector potentials and conservative vector fields, physical interpretations. Divergence theorem and the theorems of Green, Gauss, and Stokes.
Math 53 : Ordinary differential equations and initial value problems, systems of linear differential equations with constant coefficients, applications of second-order equations to oscillations, matrix exponentials, Laplace transforms, stability of non-linear systems and phase plane analysis, numerical methods.
Math 131P : An introduction to PDE; Topics include physical examples of PDE's, method of characteristics, D'Alembert's formula, maximum principles, heat kernel, Duhamel's principle, separation of variables, Fourier series, Harmonic functions, Bessel functions, spherical harmonics.
another math class.
So that's what seems to be the curriculum at Standford. Very different from the one I followed, simply with what's taught in each classes.
Here I have (not going to enumerate topics):
MAT 1400 : mostly chapters 1 through 7 in James Stewart - Multivariable calculus (the edition we use anyway).
MAT 1410 : mostly a mix of chapters 8 through 13 in James Stewart - Multivariable calculus, and chapters 8 through 11 in Hughes-Hallet multivariable calculus + notes from the teacher for a linear differential equations introduction (we can assist to a different class, on all topics differential equations).
MAT 1600 : entirety of David C. Lay linear algebra manual.
PHY 2345 : chapters 2 through 8 in Susan M. Lea - Mathematics for physicists.
I think in the end we cover mostly the same stuff, but the approach and order of topics are quite different.