Differential Theory: Solving ordinary first and second order linear differential equations, solving separable equations, finding numerical approaches of solutions of general equations, sets of equations, stability of equilibria, complex numbers.
Integral Theory: Riemann, Stieltjes and Lebesgue integrals, sigma-fields, measures, measured spaces, Lebesgue's monotonic and dominated convergence theorems.

The following subject will be raised during the course:
basic statistical procedures
simple linear regression
multiple linear regression
model specification
confidence intervals and testing of hypotheses
testing statistical hypotheses for the two-sample problem and in chi-square tests
time series

这个分别是Syllabus给的这学期的微积分和统计的内容，教材他说是课上的材料。但是不买一本书好好读一读总还是不放心。所以请问各位按照这样的内容哪一本微积分和统计的教材能够比较完整地覆盖并有条理的讲明上述内容？
感谢！