给你看个BU的关于数学的范例，其实都差不多，主要就是把教科书的章节标题抄上去
Calculus I: Limits; derivatives; differentiation of algebraic functions.
Applications to maxima, minima, and convexity of functions. The definite
integral; the fundamental theorem of integral calculus; applications of
integration.
Calculus II: Logarithmic, exponential, and trigonometric functions. Sequences
and series; Taylor's series with the remainder. Methods of integration.
Calculus III: Vectors, lines, planes. Multiple integration, cylindrical and
spherical coordinates. Partial derivatives, directional derivatives, scalar
and vector fields, the gradient, potentials, approximation, multivariate
minimization, Stokes's and related threorems.
Linear Algebra: Matrix algebra, solution of linear systems, determinants,
Gaussian elimination, fundamental theory, row-echelon form. Vector spaces,
bases, norms. Computer methods. Eigenvalues and eigenvectors, canonical
decomposition. Applications.
Differential Equations: First-order linear and separable equations. Second-
order equations and first-order systems. Linear equations and linearization.
Numerical and qualitative analysis. Laplace transforms. Applications and
modeling of real phenomena throughout.
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