alevel高数应不应该选？一文详解alevel高数考纲/alevel高数教材/alevel高数真题领取！

Further Pure Mathematics:

1. Complex Numbers:

(1) Argand diagrams,

(2) Roots of complex numbers,

(3) De Moivre's theorem.

2. Matrices and Transformations:

(1) Matrix algebra,

(2) Determinants,

(3) Inverse matrices,

(4) Linear transformations.

3. Proof:

(1) Direct and indirect proofs,

(2) Proof by contradiction,

(3) Mathematical induction.

4. Differential Equations:

(1) First and second-order differential equations,

(2) Homogeneous and non-homogeneous equations.

5. Polar Coordinates and Hyperbolic Functions:

(1) Conversion between Cartesian and polar coordinates,

(2) Hyperbolic functions, their derivatives, and integrals.

6. Further Differentiation and Integration:

(1) Differentiation rules,

(2) Integration techniques.

7. Differential Equations:

Second-order linear differential equations, variation of parameters.

8. Further Complex Numbers:

(1) Complex functions,

(2) Complex integration,

(3) Residues.

9. Further Algebra:

(1) Matrices, determinants, eigenvalues, eigenvectors,

(2) Vector spaces.

例题：

Further Probability and Statistics

1. Probability:

(1) Counting principles,

(2) Conditional probability,

(3) Binomial distribution

(4) Poisson distribution.

2. Statistical Distributions:

(1) Normal distribution,

(2) Hypothesis testing,

(3) Confidence intervals.

3. Regression and Correlation:

(1) Linear regression,

(2) Correlation coefficient,

(3) Least squares method.

4. Probability Generating Functions:

Generating functions for discrete random variables.

5. Multivariate Distributions:

Joint and conditional probability distributions, covariance, independence.

例题：

例题：