Further Mathematics (XFM01)
10个单元 · 57个章节
免费的Further Mathematics (XFM01)学习笔记，专为Pearson Edexcel International AS Level学生准备。下列每个章节都涵盖一个重点主题，附有例题与练习提示，可在 thinka 应用中延伸练习。
Unit FP1: Further Pure Mathematics 1
Complex numbers
Roots of quadratic equations
Numerical solution of equations
Coordinate systems
Matrix algebra integration
Transformations using matrices
Series
Proof
Unit FP2: Further Pure Mathematics 2
Inequalities
Series
Further complex numbers
First order differential equations
Second order differential equations
Maclaurin and Taylor series
Polar coordinates
Unit FP3: Further Pure Mathematics 3
Hyperbolic functions
Further coordinate systems
Differentiation
Integration
Vectors
Further matrix algebra
Unit M1: Mechanics 1
Mathematical models in mechanics
Vectors in mechanics
Kinematics of a particle moving in a straight line
Dynamics of a particle moving in a straight line or plane
Statics of a particle
Moments
Unit M2: Mechanics 2
Kinematics of a particle moving in a straight line or plane
Centres of mass
Work and energy
Collisions
Statics of rigid bodies
Unit M3: Mechanics 3
Further kinematics
Elastic strings and springs
Further dynamics
Motion in a circle
Statics of rigid bodies
Unit S1: Statistics 1
Mathematical models in probability and statistics
Representation and summary of data
Probability
Correlation and regression
Discrete random variables
The Normal distribution
Unit S2: Statistics 2
The Binomial and Poisson distributions
Continuous random variables
Continuous distributions
Hypothesis tests
Unit S3: Statistics 3
Combinations of random variables
Sampling
Estimation, confidence intervals and tests
Goodness of fit and contingency tables
Regression and correlation
Unit D1: Decision Mathematics 1
Algorithms
Algorithms on graphs
Algorithms on graphs II
Critical path analysis
Linear programming
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