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One-dimensional advanced calculus
The following is an outline, I hope it will help you. Start (a disease)

Mathematics outline for postgraduate entrance examination in 2009

1. Advanced Mathematics

Chapter 1: Function, Limit and Continuity

Chapter 2: Differential calculus of unary function.

Chapter 3: Integral of unary function.

Chapter 4: Vector Algebra and Spatial Analytic Geometry.

Chapter 5: Differential calculus of multivariate functions.

Chapter 6: Integration of multivariate functions.

Chapter 7: Infinite Series

Chapter 8: Ordinary differential equations

2. Linear algebra

Chapter 1: Determinant

Chapter 2: Matrix

Chapter 3: Vector

Chapter four: linear equations.

Chapter 5: Eigenvalues and eigenvectors of matrices.

Chapter six: quadratic form

3. Probability and statistics

Chapter 1: Random Events and Probability

Chapter 2: Random variables and their distribution.

Chapter 3: Multidimensional random variables and their distribution.